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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
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui
Selfsimilar processes [[electronic resource] /] / Paul Embrechts and Makoto Maejima
Selfsimilar processes [[electronic resource] /] / Paul Embrechts and Makoto Maejima
Autore Embrechts Paul <1953->
Edizione [Course Book]
Pubbl/distr/stampa Princeton, N.J., : Princeton University Press, c2002
Descrizione fisica 1 online resource (123 p.)
Disciplina 519.2/4
Altri autori (Persone) MaejimaMakoto
Collana Princeton series in applied mathematics
Soggetto topico Distribution (Probability theory)
Self-similar processes
Soggetto non controllato Almost surely
Approximation
Asymptotic analysis
Autocorrelation
Autoregressive conditional heteroskedasticity
Autoregressive–moving-average model
Availability
Benoit Mandelbrot
Brownian motion
Central limit theorem
Change of variables
Computational problem
Confidence interval
Correlogram
Covariance matrix
Data analysis
Data set
Determination
Fixed point (mathematics)
Foreign exchange market
Fractional Brownian motion
Function (mathematics)
Gaussian process
Heavy-tailed distribution
Heuristic method
High frequency
Inference
Infimum and supremum
Instance (computer science)
Internet traffic
Joint probability distribution
Likelihood function
Limit (mathematics)
Linear regression
Log–log plot
Marginal distribution
Mathematica
Mathematical finance
Mathematics
Methodology
Mixture model
Model selection
Normal distribution
Parametric model
Power law
Probability theory
Publication
Random variable
Regime
Renormalization
Result
Riemann sum
Self-similar process
Self-similarity
Simulation
Smoothness
Spectral density
Square root
Stable distribution
Stable process
Stationary process
Stationary sequence
Statistical inference
Statistical physics
Statistics
Stochastic calculus
Stochastic process
Technology
Telecommunication
Textbook
Theorem
Time series
Variance
Wavelet
Website
ISBN 1-282-08759-2
9786612087592
1-4008-2510-5
1-4008-1424-3
Classificazione SK 820
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front matter -- Contents -- Chapter 1. Introduction -- Chapter 2. Some Historical Background -- Chapter 3. Self similar Processes with Stationary Increments -- Chapter 4. Fractional Brownian Motion -- Chapter 5. Self similar Processes with Independent Increments -- Chapter 6. Sample Path Properties of Self similar Stable Processes with Stationary Increments -- Chapter 7. Simulation of Self similar Processes -- Chapter 8. Statistical Estimation -- Chapter 9. Extensions -- References -- Index
Record Nr. UNINA-9910779907303321
Embrechts Paul <1953->  
Princeton, N.J., : Princeton University Press, c2002
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui