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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
|
||
| Princeton, New Jersey : , : Princeton University Press, , 2002 | ||
| Materiale a stampa | ||
| 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
| 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 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Geometric modeling in probability and statistics / Ovidiu Calin, Constantin Udrişte
| Geometric modeling in probability and statistics / Ovidiu Calin, Constantin Udrişte |
| Autore | Calin, Ovidiu |
| Pubbl/distr/stampa | Cham, : Springer, 2014 |
| Descrizione fisica | XXIII, 375 p. : ill. ; 24 cm |
| Altri autori (Persone) | Udrişte, Constantin |
| Soggetto topico |
60Dxx - Geometric probability and stochastic geometry [MSC 2020]
62B10 - Statistical aspects of information-theoretic topics [MSC 2020] 53C21 - Methods of global Riemannian geometry, including PDE methods; curvature restrictions [MSC 2020] 53B20 - Local Riemannian geometry [MSC 2020] 53C22 - Geodesics in global differential geometry [MSC 2020] |
| Soggetto non controllato |
Entropy
Fisher information Informational geometry Probability density function Statistical manifolds |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0103820 |
|
Calin, Ovidiu
|
||
| Cham, : Springer, 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Geometric modeling in probability and statistics / Ovidiu Calin, Constantin Udrişte
| Geometric modeling in probability and statistics / Ovidiu Calin, Constantin Udrişte |
| Autore | Calin, Ovidiu |
| Pubbl/distr/stampa | Cham, : Springer, 2014 |
| Descrizione fisica | XXIII, 375 p. : ill. ; 24 cm |
| Altri autori (Persone) | Udrişte, Constantin |
| Soggetto topico |
53B20 - Local Riemannian geometry [MSC 2020]
53C21 - Methods of global Riemannian geometry, including PDE methods; curvature restrictions [MSC 2020] 53C22 - Geodesics in global differential geometry [MSC 2020] 60Dxx - Geometric probability and stochastic geometry [MSC 2020] 62B10 - Statistical aspects of information-theoretic topics [MSC 2020] |
| Soggetto non controllato |
Entropy
Fisher information Informational geometry Probability density function Statistical manifolds |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00103820 |
|
Calin, Ovidiu
|
||
| Cham, : Springer, 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Probability and Random Variables: Theory and Applications / Iickho Song, So Ryoung Park, Seokho Yoon
| Probability and Random Variables: Theory and Applications / Iickho Song, So Ryoung Park, Seokho Yoon |
| Autore | Song, Iickho |
| Pubbl/distr/stampa | Cham, : Springer, 2022 |
| Descrizione fisica | xii, 496 p. : ill. ; 24 cm |
| Altri autori (Persone) |
Park, So Ryoung
Yoon, Seokho |
| Soggetto topico | 60-XX - Probability theory and stochastic processes [MSC 2020] |
| Soggetto non controllato |
Central Limit Theorem
Convergence Cumulative Distribution Function Gamma Function Gaussian Random Vector Generalized Distribution Impulse Function Joint Moment of Normal Random Vector Normal Random Vector Price’s Theorem Probability Mass Function Probability Theory Probability density function Random Vector. Set Theory Random variable Singular Function Stable Distribution Statistic Step Function |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0278052 |
|
Song, Iickho
|
||
| Cham, : Springer, 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Probability and Random Variables: Theory and Applications / Iickho Song, So Ryoung Park, Seokho Yoon
| Probability and Random Variables: Theory and Applications / Iickho Song, So Ryoung Park, Seokho Yoon |
| Autore | Song, Iickho |
| Pubbl/distr/stampa | Cham, : Springer, 2022 |
| Descrizione fisica | xii, 496 p. : ill. ; 24 cm |
| Altri autori (Persone) |
Park, So Ryoung
Yoon, Seokho |
| Soggetto topico | 60-XX - Probability theory and stochastic processes [MSC 2020] |
| Soggetto non controllato |
Central Limit Theorem
Convergence Cumulative Distribution Function Gamma Function Gaussian Random Vector Generalized Distribution Impulse Function Joint Moment of Normal Random Vector Normal Random Vector Price’s Theorem Probability Mass Function Probability Theory Probability density function Random Vector. Set Theory Random variable Singular Function Stable Distribution Statistic Step Function |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00278052 |
|
Song, Iickho
|
||
| Cham, : Springer, 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||