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 | ||
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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 |
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
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Princeton, New Jersey : , : Princeton University Press, , 2002 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
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Forecasting and Assessing Risk of Individual Electricity Peaks / Maria Jacob, Cláudia Neves, Danica Vukadinović Greetham |
Autore | Jacob, Maria |
Pubbl/distr/stampa | Cham, : Springer, 2020 |
Descrizione fisica | xii, 97 p. : ill. ; 24 cm |
Altri autori (Persone) |
Greetham, Danica Vukadinović
Neves, Cláudia |
Soggetto topico |
86A25 - Geo-electricity and geomagnetism [MSC 2020]
86-XX - Geophysics [MSC 2020] |
Soggetto non controllato |
Block maxima methods in statistics of extremes
Electricity forecasting End-point estimation Error measures Extreme value theory Forecasting individual electricity peaks Heteroscedasticity Individual electricity peaks Long Short Term Memory (LSTM) Multi-layer Perceptron (MLP) Permutation merge Permutation-based algorithms Permutation-based errors Risk of individual electricity peaks SARIMA models Scedasis Short-term load forecast |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Titolo uniforme | |
Record Nr. | UNICAMPANIA-VAN0249155 |
Jacob, Maria
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Cham, : Springer, 2020 | ||
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Lo trovi qui: Univ. Vanvitelli | ||
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Forecasting and Assessing Risk of Individual Electricity Peaks / Maria Jacob, Cláudia Neves, Danica Vukadinović Greetham |
Autore | Jacob, Maria |
Pubbl/distr/stampa | Cham, : Springer, 2020 |
Descrizione fisica | xii, 97 p. : ill. ; 24 cm |
Altri autori (Persone) |
Greetham, Danica Vukadinović
Neves, Cláudia |
Soggetto topico |
86-XX - Geophysics [MSC 2020]
86A25 - Geo-electricity and geomagnetism [MSC 2020] |
Soggetto non controllato |
Block maxima methods in statistics of extremes
Electricity forecasting End-point estimation Error measures Extreme value theory Forecasting individual electricity peaks Heteroscedasticity Individual electricity peaks Long Short Term Memory (LSTM) Multi-layer Perceptron (MLP) Permutation merge Permutation-based algorithms Permutation-based errors Risk of individual electricity peaks SARIMA models Scedasis Short-term load forecast |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Titolo uniforme | |
Record Nr. | UNICAMPANIA-VAN00249155 |
Jacob, Maria
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Cham, : Springer, 2020 | ||
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Lo trovi qui: Univ. Vanvitelli | ||
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Heavy-Tailed Time Series / Rafal Kulik, Philippe Soulier |
Autore | Kulik, Rafal |
Pubbl/distr/stampa | New York, : Springer, 2020 |
Descrizione fisica | xix, 681 p. : ill. ; 24 cm |
Altri autori (Persone) | Soulier, Philippe |
Soggetto topico |
60G55 - Point processes (e.g., Poisson, Cox, Hawkes processes) [MSC 2020]
62M10 - Time series, auto-correlation, regression, etc. in statistics (GARCH) [MSC 2020] 60G52 - Stable stochastic processes [MSC 2020] 60G70 - Extreme value theory; extremal stochastic processes [MSC 2020] 62G32 - Statistics of extreme values; tail inference [MSC 2020] |
Soggetto non controllato |
Extremal processes
Extreme value theory Point processes Stable Processes Statistics of extreme values Tail inference Time series |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Titolo uniforme | |
Record Nr. | UNICAMPANIA-VAN0250532 |
Kulik, Rafal
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New York, : Springer, 2020 | ||
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Lo trovi qui: Univ. Vanvitelli | ||
|
Heavy-Tailed Time Series / Rafal Kulik, Philippe Soulier |
Autore | Kulik, Rafal |
Pubbl/distr/stampa | New York, : Springer, 2020 |
Descrizione fisica | xix, 681 p. : ill. ; 24 cm |
Altri autori (Persone) | Soulier, Philippe |
Soggetto topico |
60G52 - Stable stochastic processes [MSC 2020]
60G55 - Point processes (e.g., Poisson, Cox, Hawkes processes) [MSC 2020] 60G70 - Extreme value theory; extremal stochastic processes [MSC 2020] 62G32 - Statistics of extreme values; tail inference [MSC 2020] 62M10 - Time series, auto-correlation, regression, etc. in statistics (GARCH) [MSC 2020] |
Soggetto non controllato |
Extremal processes
Extreme value theory Point processes Stable Processes Statistics of extreme values Tail inference Time series |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Titolo uniforme | |
Record Nr. | UNICAMPANIA-VAN00250532 |
Kulik, Rafal
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New York, : Springer, 2020 | ||
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Lo trovi qui: Univ. Vanvitelli | ||
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Non-linear time series : extreme events and integer value problems / Kamil Feridun Turkman, Manuel González Scotto, Patrícia de Zea Bermudez |
Autore | Turkman, Kamil Feridun |
Pubbl/distr/stampa | Cham, : Springer, 2014 |
Descrizione fisica | XII, 245 p. : ill. ; 24 cm |
Altri autori (Persone) |
de Zea Bermudez, Patrícia
Scotto, Manuel González |
Soggetto topico |
60H30 - Applications of stochastic analysis (to PDEs, etc.) [MSC 2020]
62M10 - Time series, auto-correlation, regression, etc. in statistics (GARCH) [MSC 2020] 60G70 - Extreme value theory; extremal stochastic processes [MSC 2020] |
Soggetto non controllato |
Extreme value theory
Integer valued time series Non-linear time series |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Titolo uniforme | |
Record Nr. | UNICAMPANIA-VAN0103807 |
Turkman, Kamil Feridun
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||
Cham, : Springer, 2014 | ||
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Lo trovi qui: Univ. Vanvitelli | ||
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Non-linear time series : extreme events and integer value problems / Kamil Feridun Turkman, Manuel González Scotto, Patrícia de Zea Bermudez |
Autore | Turkman, Kamil Feridun |
Pubbl/distr/stampa | Cham, : Springer, 2014 |
Descrizione fisica | XII, 245 p. : ill. ; 24 cm |
Altri autori (Persone) |
de Zea Bermudez, Patrícia
Scotto, Manuel González |
Soggetto topico |
60G70 - Extreme value theory; extremal stochastic processes [MSC 2020]
60H30 - Applications of stochastic analysis (to PDEs, etc.) [MSC 2020] 62M10 - Time series, auto-correlation, regression, etc. in statistics (GARCH) [MSC 2020] |
Soggetto non controllato |
Extreme value theory
Integer valued time series Non-linear time series |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Titolo uniforme | |
Record Nr. | UNICAMPANIA-VAN00103807 |
Turkman, Kamil Feridun
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Cham, : Springer, 2014 | ||
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Lo trovi qui: Univ. Vanvitelli | ||
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Recent Developments in Statistics and Data Science : SPE2021, Évora, Portugal, October 13–16 / Regina Bispo ... [et al.] editors |
Pubbl/distr/stampa | Cham, : Springer, 2022 |
Descrizione fisica | xiii, 364 p. : ill. ; 24 cm |
Soggetto topico |
62-XX - Statistics [MSC 2020]
62P10 - Applications of statistics to biology and medical sciences; meta analysis [MSC 2020] 62P25 - Applications of statistics to social sciences [MSC 2020] 62R07 - Statistical aspects of big data and data science [MSC 2020] |
Soggetto non controllato |
Bayesian Statistics
Big data analytics Extreme value theory Multivariate statistics Spatial Statistics Survival analysis |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNICAMPANIA-VAN0278096 |
Cham, : Springer, 2022 | ||
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Lo trovi qui: Univ. Vanvitelli | ||
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Recent Developments in Statistics and Data Science : SPE2021, Évora, Portugal, October 13–16 / Regina Bispo ... [et al.] editors |
Pubbl/distr/stampa | Cham, : Springer, 2022 |
Descrizione fisica | xiii, 364 p. : ill. ; 24 cm |
Soggetto topico |
62-XX - Statistics [MSC 2020]
62P10 - Applications of statistics to biology and medical sciences; meta analysis [MSC 2020] 62P25 - Applications of statistics to social sciences [MSC 2020] 62R07 - Statistical aspects of big data and data science [MSC 2020] |
Soggetto non controllato |
Bayesian Statistics
Big data analytics Extreme value theory Multivariate statistics Spatial Statistics Survival analysis |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNICAMPANIA-VAN00278096 |
Cham, : Springer, 2022 | ||
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Lo trovi qui: Univ. Vanvitelli | ||
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