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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 | ||
| ||
Impulsive and hybrid dynamical systems : stability, dissipativity, and control / / Wassim M. Haddad, VijaySekhar Chellaboina, Sergey G. Nersesov
| 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
| 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 the Mechanics of Incompressible Fluids / / by Michel O. Deville
| An Introduction to the Mechanics of Incompressible Fluids / / by Michel O. Deville |
| Autore | Deville Michel O |
| Edizione | [1st ed. 2022.] |
| Pubbl/distr/stampa | Cham, : Springer Nature, 2022 |
| Descrizione fisica | 1 online resource (XIX, 325 p. 108 illus., 15 illus. in color.) |
| Disciplina | 620.1 |
| Soggetto topico |
Mechanics, Applied
Fluid mechanics Engineering Mechanics Engineering Fluid Dynamics |
| Soggetto non controllato |
Incompressible fluid mechanics
Navier-Stokes Equations Plane Irrotational Flows Turbulence Instability |
| ISBN | 3-031-04683-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Incompressible Newtonian Fluid Mechanics -- Dimensional Analysis -- Exact Solutions of the Navier-Stokes Equations -- Vorticity and Vortex Kinematics -- Stokes Flow -- Plane Irrotational Flows of Perfect Fluid -- Boundary Layer -- Instability -- Turbulence -- Solutions of the Exercices -- Index. |
| Record Nr. | UNINA-9910592295003321 |
|
Deville Michel O
|
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| Cham, : Springer Nature, 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||