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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 |
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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Complex Dynamics and Renormalization (AM-135), Volume 135 / / Curtis T. McMullen
| Complex Dynamics and Renormalization (AM-135), Volume 135 / / Curtis T. McMullen |
| Autore | McMullen Curtis T. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (229 pages) : illustrations |
| Disciplina | 530.1/43/0151 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Renormalization (Physics)
Polynomials Dynamics Mathematical physics |
| Soggetto non controllato |
Analytic function
Attractor Automorphism Bernhard Riemann Bounded set Branched covering Cantor set Cardioid Chain rule Coefficient Combinatorics Complex manifold Complex plane Complex torus Conformal geometry Conformal map Conjecture Connected space Covering space Cyclic group Degeneracy (mathematics) Dense set Diagram (category theory) Diameter Differential geometry of surfaces Dihedral group Dimension (vector space) Dimension Disjoint sets Disk (mathematics) Dynamical system Endomorphism Equivalence class Equivalence relation Ergodic theory Euler characteristic Filled Julia set Geometric function theory Geometry Hausdorff dimension Holomorphic function Homeomorphism Homology (mathematics) Hyperbolic geometry Implicit function theorem Injective function Integer matrix Interval (mathematics) Inverse limit Julia set Kleinian group Limit point Limit set Linear map Mandelbrot set Manifold Markov partition Mathematical induction Maxima and minima Measure (mathematics) Moduli (physics) Monic polynomial Montel's theorem Möbius transformation Natural number Open set Orbifold Periodic point Permutation Point at infinity Pole (complex analysis) Polynomial Proper map Quadratic differential Quadratic function Quadratic Quasi-isometry Quasiconformal mapping Quotient space (topology) Removable singularity Renormalization Riemann mapping theorem Riemann sphere Riemann surface Rigidity theory (physics) Scalar (physics) Schwarz lemma Scientific notation Special case Structural stability Subgroup Subsequence Symbolic dynamics Tangent space Theorem Uniformization theorem Uniformization Union (set theory) Unit disk Upper and lower bounds |
| ISBN | 1-4008-8255-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Chapter 1. Introduction -- Chapter 2. Background in conformal geometry -- Chapter 3. Dynamics of rational maps -- Chapter 4. Holomorphic motions and the Mandelbrot set -- Chapter 5. Compactness in holomorphic dynamics -- Chapter 6. Polynomials and external rays -- Chapter 7. Renormalization -- Chapter 8. Puzzles and infinite renormalization -- Chapter 9. Robustness -- Chapter 10. Limits of renormalization -- Chapter 11. Real quadratic polynomials -- Appendix A. Orbifolds -- Appendix B. A closing lemma for rational maps -- Bibliography -- Index |
| Record Nr. | UNINA-9910154745403321 |
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McMullen Curtis T.
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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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Distributed control of robotic networks [[electronic resource] ] : a mathematical approach to motion coordination algorithms / / Francesco Bullo, Jorge Cortés, Sonia Martínez
| Distributed control of robotic networks [[electronic resource] ] : a mathematical approach to motion coordination algorithms / / Francesco Bullo, Jorge Cortés, Sonia Martínez |
| Autore | Bullo Francesco |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, NJ, : Princeton University Press, 2009 |
| Descrizione fisica | 1 online resource (333 p.) |
| Disciplina | 629.8/9246 |
| Altri autori (Persone) |
CortésJorge <1974->
MartínezSonia <1974-> |
| Collana | Princeton series in applied mathematics |
| Soggetto topico |
Robotics
Computer algorithms Robots - Control systems |
| Soggetto non controllato |
1-center problem
Adjacency matrix Aggregate function Algebraic connectivity Algebraic topology (object) Algorithm Analysis of algorithms Approximation algorithm Asynchronous system Bellman–Ford algorithm Bifurcation theory Bounded set (topological vector space) Calculation Cartesian product Centroid Chebyshev center Circulant matrix Circumscribed circle Cluster analysis Combinatorial optimization Combinatorics Communication complexity Computation Computational complexity theory Computational geometry Computational model Computer simulation Computer vision Connected component (graph theory) Connectivity (graph theory) Consensus (computer science) Control function (econometrics) Differentiable function Dijkstra's algorithm Dimensional analysis Directed acyclic graph Directed graph Discrete time and continuous time Disk (mathematics) Distributed algorithm Doubly stochastic matrix Dynamical system Eigenvalues and eigenvectors Estimation Euclidean space Function composition Hybrid system Information theory Initial condition Instance (computer science) Invariance principle (linguistics) Invertible matrix Iteration Iterative method Kinematics Laplacian matrix Leader election Linear dynamical system Linear interpolation Linear programming Lipschitz continuity Lyapunov function Markov chain Mathematical induction Mathematical optimization Mobile robot Motion planning Multi-agent system Network model Network topology Norm (mathematics) Numerical integration Optimal control Optimization problem Parameter (computer programming) Partition of a set Percolation theory Permutation matrix Polytope Proportionality (mathematics) Quantifier (logic) Quantization (signal processing) Robustness (computer science) Scientific notation Sensor Set (mathematics) Simply connected space Simulation Simultaneous equations State space State variable Stochastic matrix Stochastic Strongly connected component Synchronous network Theorem Time complexity Topology Variable (mathematics) Vector field |
| ISBN |
1-68015-897-X
1-282-45820-5 1-282-93575-5 9786612458200 9786612935756 1-4008-3147-4 0-691-14195-9 |
| Classificazione | SK 880 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter One. An introduction to distributed algorithms -- Chapter Two. Geometric models and optimization -- Chapter Three. Robotic network models and complexity notions -- Chapter Four. Connectivity maintenance and rendezvous -- Chapter Five. Deployment -- Chapter Six. Boundary estimation and tracking -- Bibliography -- Algorithm Index -- Subject Index -- Symbol Index |
| Record Nr. | UNINA-9910781069103321 |
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Bullo Francesco
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| Princeton, NJ, : Princeton University Press, 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Graph theoretic methods in multiagent networks / / Mehran Mesbahi and Magnus Egerstedt
| Graph theoretic methods in multiagent networks / / Mehran Mesbahi and Magnus Egerstedt |
| Autore | Mesbahi Mehran |
| Edizione | [STU student edition] |
| Pubbl/distr/stampa | Princeton : , : Princeton University Press, , [2010] |
| Descrizione fisica | 1 online resource (424 pages) |
| Disciplina | 006.3 |
| Collana | Princeton series in applied mathematics |
| Soggetto topico |
Network analysis (Planning) - Graphic methods
Multiagent systems - Mathematical models |
| Soggetto non controllato |
Addition
Adjacency matrix Algebraic graph theory Algorithm Automorphism Bipartite graph Cardinality Cartesian product Circulant graph Combinatorics Complete graph Computation Connectivity (graph theory) Controllability Convex combination Corollary Cycle graph (algebra) Cycle space Degree (graph theory) Degree matrix Diagonal matrix Diameter Differentiable function Dimension Directed graph Division by zero Dynamical system Eigenvalues and eigenvectors Equilibrium point Estimation Estimator Existential quantification Extremal graph theory Graph (discrete mathematics) Graph theory Identity matrix Incidence matrix Information exchange Initial condition Interconnection Iteration Kalman filter Kronecker product LTI system theory LaSalle's invariance principle Laplacian matrix Least squares Line graph Linear map Lipschitz continuity Lyapunov function Lyapunov stability Markov chain Mathematical optimization Matrix exponential Measurement Multi-agent system Nash equilibrium Natural number Network topology Nonnegative matrix Notation Observability Optimal control Optimization problem Pairwise Parameter Path graph Permutation matrix Permutation Positive semidefinite Positive-definite matrix Probability Quantity Random graph Random variable Rate of convergence Requirement Result Robotics Scientific notation Sensor Sign (mathematics) Simplicial complex Special case Spectral graph theory Stochastic matrix Strongly connected component Subset Summation Supergraph Symmetric matrix Systems theory Theorem Theory Unit interval Upper and lower bounds Variable (mathematics) Vector space Without loss of generality |
| ISBN |
9781400835355 (electronic book)
1-282-97910-8 9786612979101 1-4008-3535-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface -- Notation -- PART 1. FOUNDATIONS -- Chapter 1. Introduction -- Chapter 2. Graph Theory -- Chapter 3. The Agreement Protocol: Part I-The Static Case -- Chapter 4. The Agreement Protocol: Part II-Lyapunov and LaSalle -- Chapter 5. Probabilistic Analysis of Networks and Protocols -- PART 2. MULTIAGENT NETWORKS -- Chapter 6. Formation Control -- Chapter 7. Mobile Robots -- Chapter 8. Distributed Estimation -- Chapter 9. Social Networks, Epidemics, and Games -- PART 3. NETWORKS AS SYSTEMS -- Chapter 10. Agreement with Inputs and Outputs -- Chapter 11. Synthesis of Networks -- Chapter 12. Dynamic Graph Processes -- Chapter 13. Higher-order Networks -- Appendix A. -- Bibliography -- Index |
| Record Nr. | UNINA-9910785659103321 |
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Mesbahi Mehran
|
||
| Princeton : , : Princeton University Press, , [2010] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Graph theoretic methods in multiagent networks / / Mehran Mesbahi and Magnus Egerstedt
| Graph theoretic methods in multiagent networks / / Mehran Mesbahi and Magnus Egerstedt |
| Autore | Mesbahi Mehran |
| Edizione | [STU student edition] |
| Pubbl/distr/stampa | Princeton : , : Princeton University Press, , [2010] |
| Descrizione fisica | 1 online resource (424 pages) |
| Disciplina | 006.3 |
| Collana | Princeton series in applied mathematics |
| Soggetto topico |
Network analysis (Planning) - Graphic methods
Multiagent systems - Mathematical models |
| Soggetto non controllato |
Addition
Adjacency matrix Algebraic graph theory Algorithm Automorphism Bipartite graph Cardinality Cartesian product Circulant graph Combinatorics Complete graph Computation Connectivity (graph theory) Controllability Convex combination Corollary Cycle graph (algebra) Cycle space Degree (graph theory) Degree matrix Diagonal matrix Diameter Differentiable function Dimension Directed graph Division by zero Dynamical system Eigenvalues and eigenvectors Equilibrium point Estimation Estimator Existential quantification Extremal graph theory Graph (discrete mathematics) Graph theory Identity matrix Incidence matrix Information exchange Initial condition Interconnection Iteration Kalman filter Kronecker product LTI system theory LaSalle's invariance principle Laplacian matrix Least squares Line graph Linear map Lipschitz continuity Lyapunov function Lyapunov stability Markov chain Mathematical optimization Matrix exponential Measurement Multi-agent system Nash equilibrium Natural number Network topology Nonnegative matrix Notation Observability Optimal control Optimization problem Pairwise Parameter Path graph Permutation matrix Permutation Positive semidefinite Positive-definite matrix Probability Quantity Random graph Random variable Rate of convergence Requirement Result Robotics Scientific notation Sensor Sign (mathematics) Simplicial complex Special case Spectral graph theory Stochastic matrix Strongly connected component Subset Summation Supergraph Symmetric matrix Systems theory Theorem Theory Unit interval Upper and lower bounds Variable (mathematics) Vector space Without loss of generality |
| ISBN |
9781400835355 (electronic book)
1-282-97910-8 9786612979101 1-4008-3535-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface -- Notation -- PART 1. FOUNDATIONS -- Chapter 1. Introduction -- Chapter 2. Graph Theory -- Chapter 3. The Agreement Protocol: Part I-The Static Case -- Chapter 4. The Agreement Protocol: Part II-Lyapunov and LaSalle -- Chapter 5. Probabilistic Analysis of Networks and Protocols -- PART 2. MULTIAGENT NETWORKS -- Chapter 6. Formation Control -- Chapter 7. Mobile Robots -- Chapter 8. Distributed Estimation -- Chapter 9. Social Networks, Epidemics, and Games -- PART 3. NETWORKS AS SYSTEMS -- Chapter 10. Agreement with Inputs and Outputs -- Chapter 11. Synthesis of Networks -- Chapter 12. Dynamic Graph Processes -- Chapter 13. Higher-order Networks -- Appendix A. -- Bibliography -- Index |
| Record Nr. | UNINA-9910816716403321 |
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Mesbahi Mehran
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| Princeton : , : Princeton University Press, , [2010] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Green's function estimates for lattice Schrödinger operators and applications / / J. Bourgain
| Green's function estimates for lattice Schrödinger operators and applications / / J. Bourgain |
| Autore | Bourgain Jean <1954-> |
| Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , 2005 |
| Descrizione fisica | 1 online resource (184 p.) |
| Disciplina | 515.3/9 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Schrödinger operator
Green's functions Hamiltonian systems Evolution equations |
| Soggetto non controllato |
Almost Mathieu operator
Analytic function Anderson localization Betti number Cartan's theorem Chaos theory Density of states Dimension (vector space) Diophantine equation Dynamical system Equation Existential quantification Fundamental matrix (linear differential equation) Green's function Hamiltonian system Hermitian adjoint Infimum and supremum Iterative method Jacobi operator Linear equation Linear map Linearization Monodromy matrix Non-perturbative Nonlinear system Normal mode Parameter space Parameter Parametrization Partial differential equation Periodic boundary conditions Phase space Phase transition Polynomial Renormalization Self-adjoint Semialgebraic set Special case Statistical significance Subharmonic function Summation Theorem Theory Transfer matrix Transversality (mathematics) Trigonometric functions Trigonometric polynomial Uniformization theorem |
| ISBN |
1-4008-3714-6
0-691-12098-6 |
| Classificazione | 33.06 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Acknowledgment -- Chapter 1. Introduction -- Chapter 2. Transfer Matrix and Lyapounov Exponent -- Chapter 3. Herman's Subharmonicity Method -- Chapter 4. Estimates on Subharmonic Functions -- Chapter 5. LDT for Shift Model -- Chapter 6. Avalanche Principle in SL2(R) -- Chapter 7. Consequences for Lyapounov Exponent, IDS, and Green's Function -- Chapter 8. Refinements -- Chapter 9. Some Facts about Semialgebraic Sets -- Chapter 10. Localization -- Chapter 11. Generalization to Certain Long-Range Models -- Chapter 12. Lyapounov Exponent and Spectrum -- Chapter 13. Point Spectrum in Multifrequency Models at Small Disorder -- Chapter 14. A Matrix-Valued Cartan-Type Theorem -- Chapter 15. Application to Jacobi Matrices Associated with Skew Shifts -- Chapter 16. Application to the Kicked Rotor Problem -- Chapter 17. Quasi-Periodic Localization on the Zd-lattice (d > 1) -- Chapter 18. An Approach to Melnikov's Theorem on Persistency of Nonresonant Lower Dimension Tori -- Chapter 19. Application to the Construction of Quasi-Periodic Solutions of Nonlinear Schrödinger Equations -- Chapter 20. Construction of Quasi-Periodic Solutions of Nonlinear Wave Equations -- Appendix |
| Record Nr. | UNINA-9910790364803321 |
|
Bourgain Jean <1954->
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||
| Princeton, New Jersey : , : Princeton University Press, , 2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Green's function estimates for lattice Schrödinger operators and applications / / J. Bourgain
| Green's function estimates for lattice Schrödinger operators and applications / / J. Bourgain |
| Autore | Bourgain Jean <1954-> |
| Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , 2005 |
| Descrizione fisica | 1 online resource (184 p.) |
| Disciplina | 515.3/9 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Schrödinger operator
Green's functions Hamiltonian systems Evolution equations |
| Soggetto non controllato |
Almost Mathieu operator
Analytic function Anderson localization Betti number Cartan's theorem Chaos theory Density of states Dimension (vector space) Diophantine equation Dynamical system Equation Existential quantification Fundamental matrix (linear differential equation) Green's function Hamiltonian system Hermitian adjoint Infimum and supremum Iterative method Jacobi operator Linear equation Linear map Linearization Monodromy matrix Non-perturbative Nonlinear system Normal mode Parameter space Parameter Parametrization Partial differential equation Periodic boundary conditions Phase space Phase transition Polynomial Renormalization Self-adjoint Semialgebraic set Special case Statistical significance Subharmonic function Summation Theorem Theory Transfer matrix Transversality (mathematics) Trigonometric functions Trigonometric polynomial Uniformization theorem |
| ISBN |
1-4008-3714-6
0-691-12098-6 |
| Classificazione | 33.06 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Acknowledgment -- Chapter 1. Introduction -- Chapter 2. Transfer Matrix and Lyapounov Exponent -- Chapter 3. Herman's Subharmonicity Method -- Chapter 4. Estimates on Subharmonic Functions -- Chapter 5. LDT for Shift Model -- Chapter 6. Avalanche Principle in SL2(R) -- Chapter 7. Consequences for Lyapounov Exponent, IDS, and Green's Function -- Chapter 8. Refinements -- Chapter 9. Some Facts about Semialgebraic Sets -- Chapter 10. Localization -- Chapter 11. Generalization to Certain Long-Range Models -- Chapter 12. Lyapounov Exponent and Spectrum -- Chapter 13. Point Spectrum in Multifrequency Models at Small Disorder -- Chapter 14. A Matrix-Valued Cartan-Type Theorem -- Chapter 15. Application to Jacobi Matrices Associated with Skew Shifts -- Chapter 16. Application to the Kicked Rotor Problem -- Chapter 17. Quasi-Periodic Localization on the Zd-lattice (d > 1) -- Chapter 18. An Approach to Melnikov's Theorem on Persistency of Nonresonant Lower Dimension Tori -- Chapter 19. Application to the Construction of Quasi-Periodic Solutions of Nonlinear Schrödinger Equations -- Chapter 20. Construction of Quasi-Periodic Solutions of Nonlinear Wave Equations -- Appendix |
| Record Nr. | UNINA-9910826528403321 |
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Bourgain Jean <1954->
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| Princeton, New Jersey : , : Princeton University Press, , 2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Impulsive and hybrid dynamical systems : stability, dissipativity, and control / / Wassim M. Haddad, VijaySekhar Chellaboina, Sergey G. Nersesov
| Impulsive and hybrid dynamical systems : stability, dissipativity, and control / / Wassim M. Haddad, VijaySekhar Chellaboina, Sergey G. Nersesov |
| Autore | Haddad Wassim M. <1961-> |
| Pubbl/distr/stampa | Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2006 |
| Descrizione fisica | 1 online resource (522 p.) |
| Disciplina | 003/.85 |
| Collana | Princeton Series in Applied Mathematics |
| Soggetto topico |
Automatic control
Control theory Dynamics Discrete-time systems |
| Soggetto non controllato |
Actuator
Adaptive control Algorithm Amplitude Analog computer Arbitrarily large Asymptote Asymptotic analysis Axiom Balance equation Bode plot Boundedness Calculation Center of mass (relativistic) Coefficient of restitution Continuous function Control theory Convex set Differentiable function Differential equation Dissipation Dissipative system Dynamical system Dynamical systems theory Energy Equations of motion Equilibrium point Escapement Euler–Lagrange equation Exponential stability Forms of energy Hamiltonian mechanics Hamiltonian system Hermitian matrix Hooke's law Hybrid system Identity matrix Inequality (mathematics) Infimum and supremum Initial condition Instability Interconnection Invariance theorem Isolated system Iterative method Jacobian matrix and determinant Lagrangian (field theory) Lagrangian system Lagrangian Likelihood-ratio test Limit cycle Limit set Linear function Linearization Lipschitz continuity Lyapunov function Lyapunov stability Mass balance Mathematical optimization Melting Mixture Moment of inertia Momentum Monotonic function Negative feedback Nonlinear programming Nonlinear system Nonnegative matrix Optimal control Ordinary differential equation Orthant Parameter Partial differential equation Passive dynamics Poincaré conjecture Potential energy Proof mass Quantity Rate function Requirement Robust control Second law of thermodynamics Semi-infinite Small-gain theorem Special case Spectral radius Stability theory State space Stiffness Supply (economics) Telecommunication Theorem Transpose Uncertainty Uniform boundedness Uniqueness Vector field Vibration Zeroth (software) Zeroth law of thermodynamics |
| ISBN | 1-4008-6524-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface -- Chapter One. Introduction -- Chapter Two. Stability Theory for Nonlinear Impulsive Dynamical Systems -- Chapter Three. Dissipativity Theory for Nonlinear Impulsive Dynamical Systems -- Chapter Four. Impulsive Nonnegative and Compartmental Dynamical Systems -- Chapter Five. Vector Dissipativity Theory for Large-Scale Impulsive Dynamical Systems -- Chapter Six. Stability and Feedback Interconnections of Dissipative Impulsive Dynamical Systems -- Chapter Seven. Energy-Based Control for Impulsive Port-Controlled Hamiltonian Systems -- Chapter Nine. Optimal Control for Impulsive Dynamical Systems -- Chapter Ten. Disturbance Rejection Control for Nonlinear Impulsive Dynamical Systems -- Chapter Eleven. Robust Control for Nonlinear Uncertain Impulsive Dynamical Systems -- Chapter Twelve. Hybrid Dynamical Systems -- Chapter Thirteen. Poincare Maps and Stability of Periodic Orbits for Hybrid Dynamical Systems -- Appendix A. System Functions for the Clock Escapement Mechanism -- Bibliography -- Index |
| Record Nr. | UNINA-9910786749303321 |
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Haddad Wassim M. <1961->
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| Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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