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 | ||
|
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-> | ||
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 |
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 |
Bourgain Jean <1954-> | ||
Princeton, New Jersey : , : Princeton University Press, , 2005 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
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 |
Haddad Wassim M. <1961-> | ||
Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2006 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
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-9910812330303321 |
Haddad Wassim M. <1961-> | ||
Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2006 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
An Introduction to Linear Transformations in Hilbert Space. (AM-4), Volume 4 / / Francis Joseph Murray |
Autore | Murray Francis Joseph |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (148 pages) |
Disciplina | 512.86 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Transformations (Mathematics)
Hyperspace |
Soggetto non controllato |
Additive function
Adjoint Affine space Axiom Banach space Boundary value problem Cartesian coordinate system Characteristic function (probability theory) Combination Commutative property Compact space Contradiction Coordinate system Corollary Countable set Differential operator Dimension (vector space) Effective method Equation Existential quantification Fourier transform Function (mathematics) Group algebra Hamiltonian mechanics Hamiltonian system Hilbert space Integral transform Jacobi matrix Lebesgue integration Limit point Linear combination Linear map Linear space (geometry) Mathematics Measure (mathematics) Metric space Moment problem Mutual exclusivity Necessity and sufficiency Normal operator Operational calculus Orthonormality Rational number Self-adjoint operator Self-adjoint Statistic Step function Subset Summation System of linear equations Theorem Topological group Topology Unit sphere Unitary transformation Vector space Weak convergence (Hilbert space) Weak convergence |
ISBN | 1-4008-8226-5 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- PREFACE -- TABLE OF CONTENTS -- Chapter I. INTRODUCTION -- Chapter II. HILBERT SPACE -- Chapter III. REALIZATIONS OF HILBERT SPA -- Chapter IV. ADDITIVE AND CLOSED TRANSFORMATIONS -- Chapter V. WEAK CONVERGENCE -- Chapter VI. PROJECTIONS AND ISOMETRY -- Chapter VII . RESOLUTIONS OF THE IDENTITY -- Chapter VIII . BOUNDED SELF-ADJOINT AND UNITARY TRANSFORMATIONS -- Chapter IX. CANONICAL RESOLUTION AND INTEGRAL REPRESENTATIONS -- Chapter X. SYMMETRIC OPERATORS -- Chapter XI. REFERENCES TO FURTHER DEVELOPMENTS -- Chapter XII. REFERENCES TO APPLICATIONS -- REFERENCES |
Record Nr. | UNINA-9910154747903321 |
Murray Francis Joseph | ||
Princeton, NJ : , : Princeton University Press, , [2016] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Machine Learning, Low-Rank Approximations and Reduced Order Modeling in Computational Mechanics |
Autore | Fritzen Felix |
Pubbl/distr/stampa | MDPI - Multidisciplinary Digital Publishing Institute, 2019 |
Descrizione fisica | 1 electronic resource (254 p.) |
Soggetto non controllato |
supervised machine learning
proper orthogonal decomposition (POD) PGD compression stabilization nonlinear reduced order model gappy POD symplectic model order reduction neural network snapshot proper orthogonal decomposition 3D reconstruction microstructure property linkage nonlinear material behaviour proper orthogonal decomposition reduced basis ECSW geometric nonlinearity POD model order reduction elasto-viscoplasticity sampling surrogate modeling model reduction enhanced POD archive modal analysis low-rank approximation computational homogenization artificial neural networks unsupervised machine learning large strain reduced-order model proper generalised decomposition (PGD) a priori enrichment elastoviscoplastic behavior error indicator computational homogenisation empirical cubature method nonlinear structural mechanics reduced integration domain model order reduction (MOR) structure preservation of symplecticity heterogeneous data reduced order modeling (ROM) parameter-dependent model data science Hencky strain dynamic extrapolation tensor-train decomposition hyper-reduction empirical cubature randomised SVD machine learning inverse problem plasticity proper symplectic decomposition (PSD) finite deformation Hamiltonian system DEIM GNAT |
ISBN | 3-03921-410-1 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910367759403321 |
Fritzen Felix | ||
MDPI - Multidisciplinary Digital Publishing Institute, 2019 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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Stable and Random Motions in Dynamical Systems : With Special Emphasis on Celestial Mechanics (AM-77) / / Jurgen Moser |
Autore | Moser Jurgen |
Edizione | [With a New foreword by Philip J. Holmes] |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (212 pages) : illustrations |
Disciplina | 521/.1 |
Collana | Princeton Landmarks in Mathematics and Physics |
Soggetto topico | Celestial mechanics |
Soggetto non controllato |
Accuracy and precision
Action-angle coordinates Analytic function Bounded variation Calculation Chaos theory Coefficient Commutator Constant term Continuous embedding Continuous function Coordinate system Countable set Degrees of freedom (statistics) Degrees of freedom Derivative Determinant Differentiable function Differential equation Dimension (vector space) Discrete group Divergent series Divisor Duffing equation Eigenfunction Eigenvalues and eigenvectors Elliptic orbit Energy level Equation Ergodic theory Ergodicity Euclidean space Even and odd functions Existence theorem Existential quantification First-order partial differential equation Forcing function (differential equations) Fréchet derivative Gravitational constant Hamiltonian mechanics Hamiltonian system Hessian matrix Heteroclinic orbit Homoclinic orbit Hyperbolic partial differential equation Hyperbolic set Initial value problem Integer Integrable system Integration by parts Invariant manifold Inverse function Invertible matrix Iteration Jordan curve theorem Klein bottle Lie algebra Linear map Linear subspace Linearization Maxima and minima Monotonic function Newton's method Nonlinear system Normal bundle Normal mode Open set Parameter Partial differential equation Periodic function Periodic point Perturbation theory (quantum mechanics) Phase space Poincaré conjecture Polynomial Probability theory Proportionality (mathematics) Quasiperiodic motion Rate of convergence Rational dependence Regular element Root of unity Series expansion Sign (mathematics) Smoothness Special case Stability theory Statistical mechanics Structural stability Symbolic dynamics Symmetric matrix Tangent space Theorem Three-body problem Uniqueness theorem Unitary matrix Variable (mathematics) Variational principle Vector field Zero of a function |
ISBN | 1-4008-8269-9 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- TABLE OF CONTENTS -- I. INTRODUCTION -- II. STABILITY PROBLEMS -- III. STATISTICAL BEHAVIOR -- V. FINAL REMARKS -- V. EXISTENCE PROOF IN THE PRESENCE OF SMALL DIVISORS -- VI. PROOFS AND DETAILS FOR CHAPTER III -- BOOKS AND SURVEY ARTICLES |
Record Nr. | UNINA-9910164944903321 |
Moser Jurgen | ||
Princeton, NJ : , : Princeton University Press, , [2016] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|