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
![]() |
||
Princeton, New Jersey : , : Princeton University Press, , 2002 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
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 |
Simiu Emil
![]() |
||
Princeton, New Jersey : , : Princeton University Press, , 2002 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Collected Works of C.G. Jung . Volume 2 Collected Works of C.G. Jung, Volume 2 ; Experimental Researches / / C. G. Jung; Gerhard Adler |
Autore | Jung Carl G. |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2014] |
Descrizione fisica | 1 online resource (662 p.) |
Disciplina |
150/.19/5408 s
155.2/8 |
Altri autori (Persone) | HullR. F.C |
Collana | Collected Works of C.G. Jung |
Soggetto topico |
Association of ideas
Psychophysics Psychoanalysis |
Soggetto non controllato |
Adjective
Alcoholism Amplitude Analogy Analytical psychology Anxiety Assonance Bibliography Calculation Catatonia Causality Chronograph Clark University Complex (psychology) Computation Consciousness Consideration Criminal psychology Culprit Dementia praecox Dementia Disease Distraction Electrode Embarrassment Epilepsy Eugen Bleuler Exhaustion Experiment Experimental psychology Explanation Feeling Forgetting Galvanometer Hallucination Hans Gross Holograph Hypnosis Hysteria Idiot Imbecile Implicit-association test Indication (medicine) Intellectual disability Jokes and Their Relation to the Unconscious Journal of Abnormal Psychology Laughter Lecture Length Masturbation Measurement Mental disorder Neurosis Newspaper Nickname Noun Observation Obstacle Paralysis Percentage Perseveration Phenomenon Phrase Physician Physiological psychology Pity Pleonasm Prevalence Probability Proportion (architecture) Psychiatrist Psychiatry Psychoanalysis Psychological testing Psychologist Psychology Psychopathology Publication Quantity Reminiscence Result Sexual intercourse Standard German Stimulation Stupidity Stupor Suffering Suggestion Symbols of Transformation Symptom The Erotic The Psychopathology of Everyday Life Theft Thought Transference Value judgment Verb Wilhelm Wundt Word Association Writing |
ISBN |
0-691-01840-5
1-4008-5091-6 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- EDITORIAL NOTE -- TABLE OF CONTENTS -- I. STUDIES IN WORD ASSOCIATION -- 1. The Associations of Normal Subjects / Jung, C. G. / Riklin, Franz -- 2. An Analysis of the Associations of an Epileptic -- 3. The Reaction-time Ratio in the Association Experiment -- 4. Experimental Observations on the Faculty of Memory -- 5. Psychoanalysis and Association Experiments -- 6. The Psychological Diagnosis of Evidence -- 7. Association, Dream, and Hysterical Symptom -- 8. The Psychopathological Significance of the Association Experiment -- 9. Disturbances of Reproduction in the Association Experiment -- 10. The Association Method -- 11. The Family Constellation -- II. PSYCHOPHYSICAL RESEARCHES -- 1. On the Psychophysical Relations of the Association Experiment -- 2. Psychophysical Investigations with the Galvanometer and Pneumograph in Normal and Insane Individuals / Peterson, Frederick / Jung, C. G. -- 3. Further Investigations on the Galvanic Phenomenon and Respiration in Normal and Insane Individuals / Ricksher, Charles / Jung, C. G. -- APPENDIX -- 1. Statistical Details Of Enlistment -- 2. New Aspects Of Criminal Psychology -- 3. The Psychological Methods of Investigation Used in the Psychiatric Clinic of the University of Zurich -- 4. On The Doctrine Of Complexes -- 5. On the Psychological Diagnosis of Evidence -- BIBLIOGRAPHY -- INDEX |
Record Nr. | UNINA-9910790980503321 |
Jung Carl G.
![]() |
||
Princeton, NJ : , : Princeton University Press, , [2014] | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Generalized Feynman Amplitudes. (AM-62), Volume 62 / / Eugene R. Speer |
Autore | Speer Eugene R. |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (233 pages) |
Disciplina | 530.14/3 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Mathematical physics
Quantum field theory |
Soggetto non controllato |
Addition
Adjoint Amplitude Analytic continuation Analytic function Antiparticle C-number Calculation Change of variables Classical electromagnetism Coefficient Commutative property Compact space Complex analysis Complex number Connectivity (graph theory) Constant term Convolution Derivative Diagram (category theory) Differentiable function Distribution (mathematics) Equation Estimation Explicit formulae (L-function) Fermion Fock space Formal power series Fourier transform Free field Gauge theory Graph theory Hilbert space Incidence matrix Interaction picture Invertible matrix Irreducibility (mathematics) Isolated singularity Lagrangian (field theory) Laurent series Mathematical induction Mathematics Momentum Monomial Multiple integral National Science Foundation Notation Parameter Path integral formulation Permutation Polynomial Power series Probability Propagator Quadratic form Quantity Quantum field theory Remainder Renormalization Requirement S-matrix Scattering amplitude Scientific notation Second quantization Several complex variables Simple extension Special case Subset Subtraction Suggestion Summation Taylor series Tensor product Theorem Theory Topological space Translational symmetry Tree (data structure) Uniform convergence Vacuum expectation value Vacuum state Vacuum Variable (mathematics) Vector field Vector potential Wick's theorem Z0 |
ISBN | 1-4008-8186-2 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Acknowledgements -- Abstract -- tables of contents -- Introductions -- CHAPTER I. Renormalization in Lagrangian Field Theory -- CHAPTER II. Definition of Generalized Amplitudes -- CHAPTER III. Analytic Renormalization -- CHAPTER IV. Summation of Feynman Amplitudes -- CONCLUSION -- APPENDIX A. Graphs -- APPENDIX B. Distributions -- APPENDIX C. The Free Field -- BIBLIOGRAPHY |
Record Nr. | UNINA-9910154752403321 |
Speer Eugene R.
![]() |
||
Princeton, NJ : , : Princeton University Press, , [2016] | ||
![]() | ||
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 | ||
![]() | ||
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 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Introduction to Non-Linear Mechanics. (AM-11), Volume 11 / / Nikolai Nikolaevich Bogoliubov, Nikolai Mitrofanovich Krylov |
Autore | Krylov Nikolai Mitrofanovich |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (116 pages) : illustrations |
Disciplina | 531.3 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Differential equations
Oscillations |
Soggetto non controllato |
Addition
Amplitude Angle of rotation Angular momentum Approximation Astronomy Characteristic exponent Coefficient Computation Constant of integration Constant term Coulomb's law Degrees of freedom (statistics) Derivative Determination Differential equation Dissipation Equation Fourier series Initial value problem K0 Linear differential equation Linear equation Linearization Magnetic flux Mechanics Moment of inertia Network analysis (electrical circuits) Nonlinear system Oscillation Parameter Periodic function Polynomial Power series Quantity Quasiperiodic function Sign (mathematics) Special case Technology Theorem Theory Trigonometry |
ISBN | 1-4008-8227-3 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- INTRODUCTION / Lefschetz, S. -- TABLE OF CONTENTS -- I. SOME NON-LINEAR OSCILLATORY SYSTEMS -- II. ELEMENTARY THEORY OF THE FIRST APPROXIMATION -- III. REFINEMENT OF THE FIRST APPROXIMATION -- IV. CONSTRUCTION OF THE HIGHER APPROXIMATIONS -- V. LINEARIZATION -- VI. APPLICATION OF SYMBOLIC METHODS TO LINEARIZATION -- VII. MULTIPLY PERIODIC SYSTEMS -- VIII. INFLUENCE OF PERIODIC DISTURBANCES -- IX. COMPLEMENTS -- BIBLIOGRAPHY -- ERRATA |
Record Nr. | UNINA-9910154744203321 |
Krylov Nikolai Mitrofanovich
![]() |
||
Princeton, NJ : , : Princeton University Press, , [2016] | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|