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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
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| Princeton, New Jersey : , : Princeton University Press, , 2002 | ||
| Materiale a stampa | ||
| 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
| 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 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Contributions to the Theory of Nonlinear Oscillations (AM-20), Volume I / / Solomon Lefschetz
| Contributions to the Theory of Nonlinear Oscillations (AM-20), Volume I / / Solomon Lefschetz |
| Autore | Lefschetz Solomon |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (365 pages) : illustrations |
| Disciplina | 531.3 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Oscillations |
| Soggetto non controllato |
Absolute value
Addition Algebraic equation Amplitude modulation Angular frequency Applied mathematics Approximation Boundary value problem Coefficient Complex analysis Continuous function Contradiction Curve Diagram (category theory) Differential equation Dimensionless quantity Discriminant Eigenvalues and eigenvectors Empty set Equation Experiment Fourier Frequency modulation Homotopy Implicit function theorem Initial condition Integer Integral equation Limit point Linear map Nonlinear system Normal (geometry) Notation Operator theory Ordinary differential equation Oscillation Parameter Periodic function Phase space Pure mathematics Quantity Rational function Saddle point Second derivative Simply connected space Singular perturbation Solid torus Special case Suggestion Summation Tangent space Theorem Theory Three-dimensional space (mathematics) Topology Two-dimensional space Uniqueness Vacuum tube Variable (mathematics) Vector field |
| ISBN | 1-4008-8263-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- PREFACE -- CONTENTS -- I. ON SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS / Diliberto, Stephen P. -- II. OSCILLATION OF A THIRD ORDER NONLINEAR AUTONOMOUS SYSTEM / Rauch, Lawrence Lee -- III. NON-LINEAR DELAY DIFFERENTIAL EQUATIONS / Brownell, F. H. -- IV. FORCED OSCILLATIONS IN NONLINEAR SYSTEMS / Cartwright, M. L. -- V. SINGULAR PERTURBATIONS OF A VAN DER POL EQUATION / Wendel, James G. -- VI. THE EXISTENCE OF FORCED PERIODIC SOLUTIONS OF SECOND ORDER DIFFERENTIAL EQUATIONS NEAR CERTAIN EQUILIBRIUM POINTS OF THE UNFORCED EQUATION / Langenhop, C. E. / Farnell, A. B. -- VII. ON THE CONSTRUCTION OF PERIODIC SOLUTIONS OF SINGULAR PERTURBATION PROBLEMS / Wasow, Wolfgang |
| Record Nr. | UNINA-9910154745203321 |
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Lefschetz Solomon
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Earthquake and volcano deformation [[electronic resource] /] / Paul Segall
| Earthquake and volcano deformation [[electronic resource] /] / Paul Segall |
| Autore | Segall Paul <1954-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, : Princeton University Press, c2010 |
| Descrizione fisica | 1 online resource (457 p.) |
| Disciplina | 551.8 |
| Soggetto topico |
Rock deformation - Mathematical models
Strains and stresses - Mathematical models Volcanism Earthquakes Deformations (Mechanics) |
| Soggetto non controllato |
1906 San Francisco earthquake
1980 eruption of Mount St. Helens 1989 Loma Prieta earthquake 1992 Landers earthquake 1999 Hector Mine earthquake Active fault Atmospheric refraction Cauchy stress tensor Compressive stress Continental collision Continuum mechanics Crust (geology) Deformation (engineering) Deformation (mechanics) Deformation monitoring Dike (geology) Dislocation Displacement field (mechanics) Earthquake prediction Earthquake rupture Earthquake swarm Elasticity (physics) Explosive eruption Fault (geology) Fault friction Figure of the Earth Fracture mechanics Fracture toughness Fracture zone Fracture Friction Geodetic datum Geologic time scale Geothermal gradient Gravitational acceleration Gravitational potential Gravity Recovery and Climate Experiment Hawaiian Volcano Observatory Infinitesimal strain theory Intraplate earthquake Lava dome Lava lake Lava Long Valley Caldera Magma chamber Magnetic anomaly Melting point Mount St. Helens Nucleation Orogeny Oscillation Parkfield earthquake Plane stress Plate tectonics Porosity Pressure gradient Radiation stress Resurgent dome Rift zone Rock (geology) Rock mechanics San Andreas Fault Seafloor spreading Seismic gap Seismic hazard Seismic moment Seismic risk Seismic tomography Seismic wave Seismology Shear modulus Shear stress Shear zone Shearing (physics) Shield volcano Strain energy Strain rate Stratovolcano Stress concentration Stress functions Stress intensity factor Subduction Subsidence Surface energy Surface gravity Surface stress Tectonophysics Tension (physics) Thermal expansion Thrust fault Traction (engineering) Transform fault Types of volcanic eruptions Vibration Viscoelasticity Volcanic hazards Volcanic pipe Volcano Wavenumber Yield (engineering) |
| ISBN |
1-282-60821-5
9786612608216 1-4008-3385-X |
| Classificazione | RB 10121 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Acknowledgments -- Origins -- References -- 1. Deformation, Stress, and Conservation Laws -- 2. Dislocation Models of Strike-Slip Faults -- 3. Dip-Slip Faults and Dislocations in Three Dimensions -- 4. Crack Models of Faults -- 5. Elastic Heterogeneity -- 6. Postseismic Relaxation -- 7. Volcano Deformation -- 8. Topography and Earth Curvature -- 9. Gravitational Effects -- 10. Poroelastic Effects -- 11. Fault Friction -- 12. Interseismic Deformation and Plate Boundary Cycle Models -- APPENDIX A. Integral Transforms -- APPENDIX B. A Solution of the Diffusion Equation -- APPENDIX C. Displacements Due to Crack Model of Strike-Slip Fault by Contour Integration -- Author Index |
| Record Nr. | UNINA-9910780863703321 |
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Segall Paul <1954->
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| Princeton, : Princeton University Press, c2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Introduction to Non-Linear Mechanics. (AM-11), Volume 11 / / Nikolai Nikolaevich Bogoliubov, Nikolai Mitrofanovich Krylov
| 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
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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