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Automorphic Forms on Adele Groups. (AM-83), Volume 83 / / Stephen S. Gelbart
| Automorphic Forms on Adele Groups. (AM-83), Volume 83 / / Stephen S. Gelbart |
| Autore | Gelbart Stephen S. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (280 pages) |
| Disciplina | 512/.22 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Representations of groups
Automorphic forms Linear algebraic groups Adeles |
| Soggetto non controllato |
Abelian extension
Abelian group Absolute value Addition Additive group Algebraic group Algebraic number field Algebraic number theory Analytic continuation Analytic function Arbitrarily large Automorphic form Cartan subgroup Class field theory Complex space Congruence subgroup Conjugacy class Coprime integers Cusp form Differential equation Dimension (vector space) Direct integral Direct sum Division algebra Eigenfunction Eigenvalues and eigenvectors Eisenstein series Euler product Existential quantification Exponential function Factorization Finite field Formal power series Fourier series Fourier transform Fuchsian group Function (mathematics) Function space Functional equation Fundamental unit (number theory) Galois extension Global field Group algebra Group representation Haar measure Harish-Chandra Hecke L-function Hilbert space Homomorphism Induced representation Infinite product Inner automorphism Integer Invariant measure Invariant subspace Irreducible representation L-function Lie algebra Linear map Matrix coefficient Mellin transform Meromorphic function Modular form P-adic number Poisson summation formula Prime ideal Prime number Principal series representation Projective representation Quadratic field Quadratic form Quaternion algebra Quaternion Real number Regular representation Representation theory Ring (mathematics) Ring of integers Scientific notation Selberg trace formula Simple algebra Square-integrable function Sub"ient Subgroup Summation Theorem Theory Theta function Topological group Topology Trace formula Trivial representation Uniqueness theorem Unitary operator Unitary representation Universal enveloping algebra Upper half-plane Variable (mathematics) Vector space Weil group |
| ISBN | 1-4008-8161-7 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- PREFACE -- CONTENTS -- §1. THE CLASSICAL THEORY -- §2. AUTOMORPHIC FORMS AND THE DECOMPOSITION OF L2(ΓSL(2,ℝ)) -- §3. AUTOMORPHIC FORMS AS FUNCTIONS ON THE ADELE GROUP OF GL(2) -- §4. THE REPRESENTATIONS OF GL(2) OVER LOCAL AND GLOBAL FIELDS -- §5 . CUSP FORMS AND REPRESENTATIONS OF THE ADELE GROUP OF GL(2) -- §6. HECKE THEORY FOR GL(2) -- §7 . THE CONSTRUCTION OF A SPECIAL CLASS OF AUTOMORPHIC FORMS -- § 8 . EISENSTEIN SERIES AND THE CONTINUOUS SPECTRUM -- §9. THE TRACE FORMULA FOR GL(2) -- §10. AUTOMORPHIC FORMS ON A QUATERNION ALGEBRA -- BIBLIOGRAPHY -- INDEX |
| Record Nr. | UNINA-9910154753203321 |
Gelbart Stephen S.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Beijing Lectures in Harmonic Analysis. (AM-112), Volume 112 / / Elias M. Stein
| Beijing Lectures in Harmonic Analysis. (AM-112), Volume 112 / / Elias M. Stein |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (436 pages) : illustrations |
| Disciplina | 515/.2433 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Harmonic analysis |
| Soggetto non controllato |
Analytic function
Asymptotic formula Bergman metric Bernhard Riemann Bessel function Biholomorphism Boundary value problem Bounded mean oscillation Bounded operator Boundedness Cauchy's integral formula Characteristic function (probability theory) Characterization (mathematics) Coefficient Commutator Complexification (Lie group) Continuous function Convolution Degeneracy (mathematics) Differential equation Differential operator Dirac delta function Dirichlet problem Equation Estimation Existence theorem Existential quantification Explicit formula Explicit formulae (L-function) Fatou's theorem Fourier analysis Fourier integral operator Fourier transform Fredholm theory Fubini's theorem Function (mathematics) Functional calculus Fundamental solution Gaussian curvature Hardy space Harmonic analysis Harmonic function Harmonic measure Heisenberg group Hilbert space Hilbert transform Hodge theory Holomorphic function Hyperbolic partial differential equation Hölder's inequality Infimum and supremum Integration by parts Interpolation theorem Intersection (set theory) Invertible matrix Isometry group Laplace operator Laplace's equation Lebesgue measure Linear map Lipschitz continuity Lipschitz domain Lp space Mathematical induction Mathematical physics Maximal function Maximum principle Measure (mathematics) Newtonian potential Non-Euclidean geometry Number theory Operator theory Oscillatory integral Parameter Partial derivative Partial differential equation Polynomial Power series Product metric Radon–Nikodym theorem Riemannian manifold Riesz representation theorem Scientific notation Several complex variables Sign (mathematics) Simultaneous equations Singular function Singular integral Sobolev space Square (algebra) Statistical hypothesis testing Stokes' theorem Support (mathematics) Tangent space Tensor product Theorem Trigonometric series Uniformization theorem Variable (mathematics) Vector field |
| ISBN | 1-4008-8209-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- TABLE OF CONTENTS -- PREFACE -- NON-LINEAR HARMONIC ANALYSIS, OPERATOR THEORY AND P.D.E. / Coifman, R. R. / Meyer, Yves -- MULTIPARAMETER FOURIER ANALYSIS / Fefferman, Robert -- ELLIPTIC BOUNDARY VALUE PROBLEMS ON LIPSCHITZ DOMAINS / Kenig, Carlos E. -- INTEGRAL FORMULAS IN COMPLEX ANALYSIS / Krantz, Steven G. -- VECTOR FIELDS AND NONISOTROPIC METRICS / Nagel, Alexander -- OSCILLATORY INTEGRALS IN FOURIER ANALYSIS / Stein, E. M. -- AVERAGES AND SINGULAR INTEGRALS OVER LOWER DIMENSIONAL SETS / Wainge, Stephen -- INDEX -- Backmatter |
| Record Nr. | UNINA-9910154749103321 |
| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Chaotic transitions in deterministic and stochastic dynamical systems : applications of Melnikov processes in engineering, physics, and neuroscience / / Emil Simiu
| Chaotic transitions in deterministic and stochastic dynamical systems : applications of Melnikov processes in engineering, physics, and neuroscience / / Emil Simiu |
| Autore | Simiu Emil |
| Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , 2002 |
| Descrizione fisica | 1 online resource (244 p.) |
| Disciplina | 515/.352 |
| Collana | Princeton Series in Applied Mathematics |
| Soggetto topico |
Differentiable dynamical systems
Chaotic behavior in systems Stochastic systems |
| Soggetto non controllato |
Affine transformation
Amplitude Arbitrarily large Attractor Autocovariance Big O notation Central limit theorem Change of variables Chaos theory Coefficient of variation Compound Probability Computational problem Control theory Convolution Coriolis force Correlation coefficient Covariance function Cross-covariance Cumulative distribution function Cutoff frequency Deformation (mechanics) Derivative Deterministic system Diagram (category theory) Diffeomorphism Differential equation Dirac delta function Discriminant Dissipation Dissipative system Dynamical system Eigenvalues and eigenvectors Equations of motion Even and odd functions Excitation (magnetic) Exponential decay Extreme value theory Flow velocity Fluid dynamics Forcing (recursion theory) Fourier series Fourier transform Fractal dimension Frequency domain Gaussian noise Gaussian process Harmonic analysis Harmonic function Heteroclinic orbit Homeomorphism Homoclinic orbit Hyperbolic point Inference Initial condition Instability Integrable system Invariant manifold Iteration Joint probability distribution LTI system theory Limit cycle Linear differential equation Logistic map Marginal distribution Moduli (physics) Multiplicative noise Noise (electronics) Nonlinear control Nonlinear system Ornstein–Uhlenbeck process Oscillation Parameter space Parameter Partial differential equation Perturbation function Phase plane Phase space Poisson distribution Probability density function Probability distribution Probability theory Probability Production–possibility frontier Relative velocity Scale factor Shear stress Spectral density Spectral gap Standard deviation Stochastic process Stochastic resonance Stochastic Stream function Surface stress Symbolic dynamics The Signal and the Noise Topological conjugacy Transfer function Variance Vorticity |
| ISBN |
0-691-05094-5
1-4008-3250-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface -- Chapter 1. Introduction -- PART 1. FUNDAMENTALS -- Chapter 2. Transitions in Deterministic Systems and the Melnikov Function -- Chapter 3. Chaos in Deterministic Systems and the Melnikov Function -- Chapter 4. Stochastic Processes -- Chapter 5. Chaotic Transitions in Stochastic Dynamical Systems and the Melnikov Process -- PART 2. APPLICATIONS -- Chapter 6. Vessel Capsizing -- Chapter 7. Open-Loop Control of Escapes in Stochastically Excited Systems -- Chapter 8. Stochastic Resonance -- Chapter 9. Cutoff Frequency of Experimentally Generated Noise for a First-Order Dynamical System -- Chapter 10. Snap-Through of Transversely Excited Buckled Column -- Chapter 11. Wind-Induced Along-Shore Currents over a Corrugated Ocean Floor -- Chapter 12. The Auditory Nerve Fiber as a Chaotic Dynamical System -- Appendix A1 Derivation of Expression for the Melnikov Function -- Appendix A2 Construction of Phase Space Slice through Stable and Unstable Manifolds -- Appendix A3 Topological Conjugacy -- Appendix A4 Properties of Space ∑2 -- Appendix A5 Elements of Probability Theory -- Appendix A6 Mean Upcrossing Rate τu-1 for Gaussian Processes -- Appendix A7 Mean Escape Rate τ∊-1 for Systems Excited by White Noise -- References -- Index |
| Record Nr. | UNINA-9910786748903321 |
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Simiu Emil
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| Princeton, New Jersey : , : Princeton University Press, , 2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Chaotic transitions in deterministic and stochastic dynamical systems : applications of Melnikov processes in engineering, physics, and neuroscience / / Emil Simiu
| Chaotic transitions in deterministic and stochastic dynamical systems : applications of Melnikov processes in engineering, physics, and neuroscience / / Emil Simiu |
| Autore | Simiu Emil |
| Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , 2002 |
| Descrizione fisica | 1 online resource (244 p.) |
| Disciplina | 515/.352 |
| Collana | Princeton Series in Applied Mathematics |
| Soggetto topico |
Differentiable dynamical systems
Chaotic behavior in systems Stochastic systems |
| Soggetto non controllato |
Affine transformation
Amplitude Arbitrarily large Attractor Autocovariance Big O notation Central limit theorem Change of variables Chaos theory Coefficient of variation Compound Probability Computational problem Control theory Convolution Coriolis force Correlation coefficient Covariance function Cross-covariance Cumulative distribution function Cutoff frequency Deformation (mechanics) Derivative Deterministic system Diagram (category theory) Diffeomorphism Differential equation Dirac delta function Discriminant Dissipation Dissipative system Dynamical system Eigenvalues and eigenvectors Equations of motion Even and odd functions Excitation (magnetic) Exponential decay Extreme value theory Flow velocity Fluid dynamics Forcing (recursion theory) Fourier series Fourier transform Fractal dimension Frequency domain Gaussian noise Gaussian process Harmonic analysis Harmonic function Heteroclinic orbit Homeomorphism Homoclinic orbit Hyperbolic point Inference Initial condition Instability Integrable system Invariant manifold Iteration Joint probability distribution LTI system theory Limit cycle Linear differential equation Logistic map Marginal distribution Moduli (physics) Multiplicative noise Noise (electronics) Nonlinear control Nonlinear system Ornstein–Uhlenbeck process Oscillation Parameter space Parameter Partial differential equation Perturbation function Phase plane Phase space Poisson distribution Probability density function Probability distribution Probability theory Probability Production–possibility frontier Relative velocity Scale factor Shear stress Spectral density Spectral gap Standard deviation Stochastic process Stochastic resonance Stochastic Stream function Surface stress Symbolic dynamics The Signal and the Noise Topological conjugacy Transfer function Variance Vorticity |
| ISBN |
0-691-05094-5
1-4008-3250-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface -- Chapter 1. Introduction -- PART 1. FUNDAMENTALS -- Chapter 2. Transitions in Deterministic Systems and the Melnikov Function -- Chapter 3. Chaos in Deterministic Systems and the Melnikov Function -- Chapter 4. Stochastic Processes -- Chapter 5. Chaotic Transitions in Stochastic Dynamical Systems and the Melnikov Process -- PART 2. APPLICATIONS -- Chapter 6. Vessel Capsizing -- Chapter 7. Open-Loop Control of Escapes in Stochastically Excited Systems -- Chapter 8. Stochastic Resonance -- Chapter 9. Cutoff Frequency of Experimentally Generated Noise for a First-Order Dynamical System -- Chapter 10. Snap-Through of Transversely Excited Buckled Column -- Chapter 11. Wind-Induced Along-Shore Currents over a Corrugated Ocean Floor -- Chapter 12. The Auditory Nerve Fiber as a Chaotic Dynamical System -- Appendix A1 Derivation of Expression for the Melnikov Function -- Appendix A2 Construction of Phase Space Slice through Stable and Unstable Manifolds -- Appendix A3 Topological Conjugacy -- Appendix A4 Properties of Space ∑2 -- Appendix A5 Elements of Probability Theory -- Appendix A6 Mean Upcrossing Rate τu-1 for Gaussian Processes -- Appendix A7 Mean Escape Rate τ∊-1 for Systems Excited by White Noise -- References -- Index |
| Record Nr. | UNINA-9910827211303321 |
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Simiu Emil
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| Princeton, New Jersey : , : Princeton University Press, , 2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Contributions to the Theory of Games (AM-39), Volume III / / Philip Wolfe, Albert William Tucker, Melvin Dresher
| Contributions to the Theory of Games (AM-39), Volume III / / Philip Wolfe, Albert William Tucker, Melvin Dresher |
| Autore | Dresher Melvin |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (452 pages) : illustrations |
| Disciplina | 519.3 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Game theory |
| Soggetto non controllato |
Almost surely
American Mathematical Society Axiom of choice Bayes estimator Big O notation Binomial coefficient Binomial theorem Boundary value problem C0 Calculation Cartesian product Characteristic function (probability theory) Coefficient Complete metric space Composition series Continuous function (set theory) Continuous game Counterexample Decision problem Decision theory Determinacy Diagram (category theory) Differential equation Differential game Distribution function Elementary matrix Equation Existence theorem Expected utility hypothesis Extended real number line Family of sets Finitary Function (mathematics) Functional equation Fundamenta Mathematicae Fundamental theorem Inequality (mathematics) Infimum and supremum Integral equation Interval (mathematics) Joint probability distribution Kakutani fixed-point theorem Kakutani's theorem Laplace's equation Lipschitz continuity Loss function Markov chain Martingale (probability theory) Mathematical analysis Mathematical induction Mathematical optimization Mathematics Maxima and minima Measure (mathematics) Metric space Monotonic function N-vector Ordinal number Outcome (probability) Parametric statistics Parity (mathematics) Partial differential equation Polynomial Preference (economics) Probability distribution Probability measure Probability theory Probability Product topology Proportionality (mathematics) Randomization Rate of convergence Real projective plane Recurrence relation Recursive set Recursively enumerable set Reductio ad absurdum Restriction (mathematics) Scientific notation Series (mathematics) Set (mathematics) Sigma-algebra Sign (mathematics) Solution set Special case Stochastic game Stochastic process Stochastic Strategy (game theory) Subharmonic function Summation Theorem Topological game Topological space Topology Transfinite induction Turing machine Utility Variable (mathematics) Zorn's lemma |
| ISBN | 1-4008-8215-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- PREFACE -- CONTENTS -- INTRODUCTION -- PART I. MOVE AS PLAYS OF OTHER GAMES -- 1. ON GAMES OP SURVIVAL / Milnor, J. / Shapley, L .S. -- 2. RECURSIVE GAMES / Everett, H. -- 3. FINITARY GAMES / Isbell, J. R. -- 4. APPROXIMATION TO RAYES RISK IN REPEATED PLAY / Hannan, James -- 5. INFORMATION IN GAMES WITH FINITE RESOURCES / Gale, David -- PART II. GAMES WITH PERFECT INFORMATION -- 6. EFFECTIVE COMPUTABILITY OF WINNING STRATEGIES / Rabin, Michael O. -- 7. THE BANACH-MAZUR GAME AND BANACH CATEGORY THEOREM / Oxtoby, John C. -- 8. TOPOLOGICAL GAMES WITH PERFECT INFORMATION / Berge, Claude -- 9. STOCHASTIC GAMES WITH ZERO STOP PROBABILITIES / Gillette, Dean -- 10. CARTESIAN PRODUCTS OF TERMINATION GAMES / Holladay, John C. -- 11. A STUDY OP SIMPLE GAMES THROUGH EXPERIMENTS ON COMPUTING MACHINES / Walden, w. -- PART III. GAMES WITH PARTIAL INFORMATION -- 12. GAMES WITH PARTIAL INFORMATION / Scarf, H. E. / Shapley, L. S. -- 13. A DISCRETE EVASION GAME / Dabins, L. E. -- 14. AN INFINITE MOVE GAME WITH A LAG / Karlin, Samuel -- 15. THE EFFECT OF PSYCHOLOGICAL ATTITUDES ON THE OUTCOMES OF GAMES / Kemeny, John G. / Thompson, Gerald L. -- PART IV. GAMES WITH CONTINUUM OF STRATEGIES -- 16. ON A GAME WITHOUT A VALUE / Sion, Maurice / Wolfe, Philip -- 17. A RATIONAL GAME ON THE SQUARE / Gross, O. -- 18. TACTICAL PROBLEMS INVOLVING SEVERAL ACTIONS / Restrepo, Rodrigo -- 19. MULTISTAGE POKER MODELS / Karlin, Samuel / Restrepo, Rodrigo -- 20. ON GAMES DESCRIBED BY BELL SHAPED KERNELS / Karlin, Samuel -- PART V. GAMES WITH A CONTINUUM OF MOVES -- 21. ON DIFFERENTIAL GAMES WITH SURVIVAL PAYOFF / Scarf, H. E. -- 22. A NOTE ON DIFFERENTIAL GAMES OF PRESCRIBED DURATION / Fleming, W. H. -- 23. ON DIFFERENTIAL GAMES WITH INTEGRAL PAYOFF / Berkovitz, L. D. / Fleming, W. H. -- Backmatter |
| Record Nr. | UNINA-9910154750403321 |
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Dresher Melvin
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Contributions to the Theory of Nonlinear Oscillations (AM-20), Volume I / / Solomon Lefschetz
| Contributions to the Theory of Nonlinear Oscillations (AM-20), Volume I / / Solomon Lefschetz |
| Autore | Lefschetz Solomon |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (365 pages) : illustrations |
| Disciplina | 531.3 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Oscillations |
| Soggetto non controllato |
Absolute value
Addition Algebraic equation Amplitude modulation Angular frequency Applied mathematics Approximation Boundary value problem Coefficient Complex analysis Continuous function Contradiction Curve Diagram (category theory) Differential equation Dimensionless quantity Discriminant Eigenvalues and eigenvectors Empty set Equation Experiment Fourier Frequency modulation Homotopy Implicit function theorem Initial condition Integer Integral equation Limit point Linear map Nonlinear system Normal (geometry) Notation Operator theory Ordinary differential equation Oscillation Parameter Periodic function Phase space Pure mathematics Quantity Rational function Saddle point Second derivative Simply connected space Singular perturbation Solid torus Special case Suggestion Summation Tangent space Theorem Theory Three-dimensional space (mathematics) Topology Two-dimensional space Uniqueness Vacuum tube Variable (mathematics) Vector field |
| ISBN | 1-4008-8263-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- PREFACE -- CONTENTS -- I. ON SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS / Diliberto, Stephen P. -- II. OSCILLATION OF A THIRD ORDER NONLINEAR AUTONOMOUS SYSTEM / Rauch, Lawrence Lee -- III. NON-LINEAR DELAY DIFFERENTIAL EQUATIONS / Brownell, F. H. -- IV. FORCED OSCILLATIONS IN NONLINEAR SYSTEMS / Cartwright, M. L. -- V. SINGULAR PERTURBATIONS OF A VAN DER POL EQUATION / Wendel, James G. -- VI. THE EXISTENCE OF FORCED PERIODIC SOLUTIONS OF SECOND ORDER DIFFERENTIAL EQUATIONS NEAR CERTAIN EQUILIBRIUM POINTS OF THE UNFORCED EQUATION / Langenhop, C. E. / Farnell, A. B. -- VII. ON THE CONSTRUCTION OF PERIODIC SOLUTIONS OF SINGULAR PERTURBATION PROBLEMS / Wasow, Wolfgang |
| Record Nr. | UNINA-9910154745203321 |
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Lefschetz Solomon
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Contributions to the Theory of Nonlinear Oscillations (AM-29), Volume II / / Solomon Lefschetz
| Contributions to the Theory of Nonlinear Oscillations (AM-29), Volume II / / Solomon Lefschetz |
| Autore | Lefschetz Solomon |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (128 pages) : illustrations |
| Disciplina | 531.3 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Oscillations |
| Soggetto non controllato |
Addition
Analytic function Approximation Arc length Asymptotic expansion Big O notation Bijection Calculation Canonical form Cartesian coordinate system Characteristic equation Characteristic exponent Circumference Clockwise Coefficient matrix Coefficient Concentric Continuous function Contradiction Coordinate system Determinant Differential equation Divisor Dynamical system Equation Existential quantification Exterior (topology) First variation Geometry Homotopy Initial condition Integer Intersection (set theory) Interval (mathematics) Isolated point Iteration Limit cycle Limit set Linear differential equation Linear equation Main diagonal Mathematician Matrix (mathematics) Matrix coefficient Monotonic function Natural number Nonlinear system Parameter Partial derivative Periodic function Phase plane Phase portrait Polar coordinate system Polynomial Projective plane Quadratic transformation Requirement Saddle point Separatrix (mathematics) Sequence Special case Square matrix Statistical hypothesis testing Structural stability Subset Suggestion Theorem Theory Three-dimensional space (mathematics) Time derivative Topology Trigonometric polynomial Uniqueness theorem Unit vector Variable (mathematics) Vector field Velocity Without loss of generality |
| ISBN | 1-4008-8270-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Preface / Lefschetz, Solomon -- Contents -- I. Van der Pol's Equation for Relaxation Oscillations / Cartwright, M. L. -- II. Perturbations of Linear Systems with Constant Coefficients Possessing Periodic Solutions / Coddington, E. A. / Levinson, N. -- III. Dynamical Systems with Stable Structures / DeBaggis, H. F. -- IV. Notes on Differential Equations / Lefsehetz, Solomon -- V. A method for the Calculation of Limit Cycles by Successive Approximation / McCarthy, John -- VI. Asymptotic Expansions of Solutions of Systems of Ordinary Linear Differential Equations Containing a Parameter / Turrittin, H. L. |
| Record Nr. | UNINA-9910154745103321 |
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Lefschetz Solomon
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Contributions to the Theory of Nonlinear Oscillations (AM-36), Volume III / / Solomon Lefschetz
| Contributions to the Theory of Nonlinear Oscillations (AM-36), Volume III / / Solomon Lefschetz |
| Autore | Lefschetz Solomon |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (300 pages) : illustrations |
| Disciplina | 531.3 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Oscillations |
| Soggetto non controllato |
Addition
Almost periodic function Analytic function Analytic manifold Asymptote Asymptotic analysis Banach space Basis (linear algebra) Betti number Big O notation Boundary (topology) Boundary value problem Boundedness Calculation Cartesian coordinate system Characteristic equation Characteristic exponent Coefficient matrix Coefficient Combination Complex number Complex space Connected space Continuous function Counterexample Curve Degeneracy (mathematics) Degrees of freedom (statistics) Derivative Determinant Differentiable function Differential equation Dissipative system Eigenvalues and eigenvectors Equation Existence theorem Existential quantification Exterior (topology) First variation Fixed-point theorem Fundamental theorem Geometry Half-space (geometry) Homeomorphism Homotopy Hyperbolic sector Identity matrix Imaginary number Implicit function Infimum and supremum Integral curve Interior (topology) Intersection (set theory) Interval (mathematics) Invertible matrix Jacobian matrix and determinant Jordan curve theorem Limit cycle Limit point Limit set Line at infinity Linear approximation Linear differential equation Linear equation Linear map Lipschitz continuity Matrix (mathematics) Monotonic function N-vector Nonlinear system Ordinary differential equation Parameter Parametric equation Parametrization Partial derivative Periodic function Phase plane Phase space Point at infinity Polynomial Projective plane Quantity Saddle point Scientific notation Second derivative Separatrix (mathematics) Sign (mathematics) Simultaneous equations Singular perturbation Special case Submanifold Summation Tangent Taylor series Theorem Theory Topology Vector field Velocity Zero of a function |
| ISBN | 1-4008-8217-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- PREFACE -- CONTENTS -- I. A ROTATED VECTOR APPROACH TO THE PROBLEM OP STABILITY OP SOLUTIONS OF PENDULUM-TYPE EQUATIONS / Seifert, George -- II. ASYMPTOTICALLY AUTONOMOUS DIFFERENTIAL SYSTEMS / Markus, L. -- III. NONLINEAR DIFFERENTIAL EQUATIONS SYSTEMS / Pinney, Edmund -- IV. ON A NON-LINEAR DIFFERENTIAL EQUATION CONTAINING A SMALL PARAMETER / Haas, Violet B. -- V. CRITICAL POINTS AT INFINITY AND FORCED OSCILLATION / Gomory, Ralph E. -- VI. ON CERTAIN CRITICAL POINTS OF A DIFFERENTIAL SYSTEM IN THE PLANE / Barocio, Samuel -- VII. ON THE TOTAL NUMBER OF SINGULAR POINTS AND LIMIT CYCLES OF A DIFFERENTIAL EQUATION / Haas, Felix -- VIII. BANACH SPACES AND THE PERTURBATION OF ORDINARY DIFFERENTIAL EQUATIONS / Hufford, George -- IX. A FIXED POINT THEOREM / Kyner, Walter T. -- X. PERTURBATION THEOREMS FOR NON-LINEAR ORDINARY DIFFERENTIAL EQUATIONS / Diliberto, S. P. / Hufford, G. -- XI. A NOTE ON THE EXISTENCE OF PERIODIC SOLUTIONS OF DIFFERENTIAL EQUATIONS / Diliberto, S. P. / Marcus, M. D. -- XII. AN INVARIANT SURFACE THEOREM FOR A NON-DEGENERATE SYSTEM / Marcus, Marvin D. -- XIII. AN APPLICATION OP PERIODIC SURFACES (SOLUTION OF A SMALL DIVISOR PROBLEM) / Diliberto, Stephen P. -- XIV. REPEATING SOLUTIONS FOR A DEGENERATE SYSTEM / Marcus, Marvin D. -- XV. BOUNDS FOR PERIODS OF PERIODIC SOLUTIONS / Diliberto, Stephen P. -- XVI. ONE-DIMENSIONAL REPEATING CURVES IN THE NON-DEGENERATE CASE / Koosis, Paul -- Backmatter |
| Record Nr. | UNINA-9910154750203321 |
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Lefschetz Solomon
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Contributions to the Theory of Nonlinear Oscillations (AM-41), Volume IV / / Solomon Lefschetz
| Contributions to the Theory of Nonlinear Oscillations (AM-41), Volume IV / / Solomon Lefschetz |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (229 pages) |
| Disciplina | 531.3 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Nonlinear oscillations |
| Soggetto non controllato |
Algebraic curve
Analytic continuation Analytic function Asymptotic analysis Banach space Big O notation Boundary value problem Calculation Canonical transformation Cartesian coordinate system Change of variables Characteristic exponent Coefficient Computation Conic section Continuous function Convex set Counterexample Curvature Curve Degrees of freedom (statistics) Derivative Diagram (category theory) Differentiable function Differential equation Dimension Dimensional analysis Division by zero Eigenvalues and eigenvectors Elementary proof Equation Essential singularity Existence theorem Existential quantification Exterior (topology) Fixed-point theorem Forcing (mathematics) Forcing (recursion theory) Function space Functional equation Hamiltonian system Hyperplane Inflection point Initial condition Initial value problem Integral equation Inverse function Iteration Lagrangian mechanics Lefschetz fixed-point theorem Limit cycle Limit of a sequence Limit point Limit set Line segment Linearity Line–line intersection Lipschitz continuity Lyapunov stability Mathematical optimization Mathematics Monotonic function Newton polygon Nonlinear system Orbital stability Ordinary differential equation Ordinate Parameter Parametrization Parity (mathematics) Partial derivative Periodic function Periodic point Perturbation theory (quantum mechanics) Phase space Power series Principal part Proportionality (mathematics) Quadratic Real variable Scalar (physics) Scientific notation Sign (mathematics) Significant figures Solomon Lefschetz Special case Sturm–Liouville theory Subset Surface of revolution Theorem Theory Three-dimensional space (mathematics) Transversal (geometry) Unification (computer science) Upper half-plane Variable (mathematics) Variational method (quantum mechanics) Vector field Vector notation Zero of a function |
| ISBN | 1-4008-8175-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Preface / Lefschetz, Solomon -- Contents -- I. On the Non-Linear Difference-Differential Equation y1(t) = [A - By(t-r) ly (t) / Kakutani, S. / Markus, L. -- II. On the Critical Points of a Class of Differential Equations / Lefschetz, Solomon -- III. Optimal Discontinuous Forcing Terms / Bushaw, D. -- IV. On the Structure of Symmetric Periodic Solutions of Conservative Systems, with Applications / DeVogelaere, René -- V. Asymptotic Behavior of Solutions of Canonical Systems Near a Closed, Unstable Orbit / Slotnick, D. L. -- VI. Small Periodic Perturbations of an Autonomous System of Vector Equations / Kyner, Walter T. -- VII. Rotated Vector Fields and an Equation for Relaxation Oscillations / Seifert, George -- VIII. A Survey of Lyapunov's Second Method / Antosiewicz, H. A. -- IX. On Phase Portraits of Critical Points in n-Space / Mendelson, Pinchas -- X. On Non-Linear Repulsive Forces / Bass, Robert W. -- Backmatter |
| Record Nr. | UNINA-9910154752703321 |
| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Contributions to the Theory of Nonlinear Oscillations (AM-45), Volume V / / Lamberto Cesari, Solomon Lefschetz, J. LaSalle
| Contributions to the Theory of Nonlinear Oscillations (AM-45), Volume V / / Lamberto Cesari, Solomon Lefschetz, J. LaSalle |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (300 pages) : illustrations |
| Disciplina | 531/.32 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Oscillations |
| Soggetto non controllato |
Absolute value
Abstract algebra Affine plane Affine space Algebraic Method Analytic function Bifurcation theory Big O notation Canonical form Cartesian coordinate system Cauchy sequence Characteristic exponent Characteristic polynomial Clockwise Coefficient matrix Coefficient Complete theory Complex conjugate Complex number Complex plane Computation Connected space Continuous function Control function (econometrics) Convex set Corollary Critical frequency Curve Degeneracy (mathematics) Degrees of freedom (statistics) Determinant Differentiable function Differentiable manifold Differential equation Dimension Dimensional analysis Divisor (algebraic geometry) Eigenvalues and eigenvectors Elliptic function Endomorphism Equation Equations of motion Existence theorem Existential quantification Fixed point (mathematics) Floquet theory Homeomorphism Homogeneous function Homotopy Hyperplane Hypersurface Implicit function theorem Interval (mathematics) Limit cycle Limit point Line element Linear algebra Linear differential equation Linear map Linear space (geometry) Linearity Lipschitz continuity Lyapunov stability Manifold Matrix function Maxima and minima Morphism N-vector Non-associative algebra Nonlinear system Optimal control Orbital stability Parameter Parametrization Periodic function Piecewise Probability Quadratic differential Quadratic function Quadratic Real projective plane Real projective space Scientific notation Second derivative Semicircle Separatrix (mathematics) Sign (mathematics) Special case Submanifold Summation Theorem Theory Topological dynamics Topological space Transpose Two-dimensional space Uniform convergence Uniqueness theorem Vector space Zero of a function |
| ISBN | 1-4008-8264-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Preface -- Contents -- I. The Time Optimal Control Problem / La Salle, J. P. -- II. Continuous Dependence on a Parameter / Jarnik, J. / Kurzweil, J. -- III. Poincare's Perturbation Method and Topological Degree / Cronin, Jane -- IV. On the Behavior of the Solutions of Linear Periodic Differential Systems Near Resonance Points / Hale, Jack K. -- V. On the Stability of Periodic Solutions of Weakly Nonlinear Periodic and Autonomous Differential Systems / Hale, J. K. -- VI. Existence Theorems for Periodic Solutions of Nonlinear Lipschitzian Differential Systems and Fixed Point Theorems / Cesari, Lamberto -- VII. The Applications of a Fixed Point Theorem to a Variety of Non-Linear Stability Problems / Stokes, Arnold -- VIII. Quadratic Differential Equations and Non-Associative Algebras / Markus, Lawrence -- IX. Sur Une Propriété De L'Ensemble Des Thajectoires Bornées De Certains Systèmes Dynamiques / Reeb, Georges -- X. On Lagrange Stable Motions in the Neighborhood of Critical Points / Mendelson, Pinchas -- XI. The Local Theory of Piecewise Continuous Differential Equations / André, J. / Seibert, P. -- XII. Asymptotic Stability in 3-Space / Coleman, Courtney -- XIII. Existence and Uniqueness of the Periodic Solution of an Equation for Autonomous Oscillations / Figueiredo, Rui Pacheco de -- Appendix / Pinney, E. |
| Record Nr. | UNINA-9910154745003321 |
| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
