Chaotic Transitions in Deterministic and Stochastic Dynamical Systems : Applications of Melnikov Processes in Engineering, Physics, and Neuroscience.

محفوظ في:

التفاصيل البيبلوغرافية
المؤلف الرئيسي:	Simiu, Emil
التنسيق:	كتاب الكتروني
اللغة:	English
منشور في:	Princeton University Press, 2014.
الموضوعات:	Differentiable dynamical systems. Chaotic behavior in systems. Stochastic systems. MATHEMATICS / Applied. Chaotic behavior in systems Differentiable dynamical systems Stochastic systems
الوصول للمادة أونلاين:	Click for online access

جدول المحتويات:

Frontmatter
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 {u2211}2
Appendix A5 Elements of Probability Theory
Appendix A6 Mean Upcrossing Rate ?u-1 for Gaussian Processes
Appendix A7 Mean Escape Rate ????????-1 for Systems Excited by White Noise
References
Index

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