Lyapunov Exponents
eBook - PDF

Lyapunov Exponents

A Tool to Explore Complex Dynamics

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Lyapunov Exponents

A Tool to Explore Complex Dynamics

About this book

Lyapunov exponents lie at the heart of chaos theory, and are widely used in studies of complex dynamics. Utilising a pragmatic, physical approach, this self-contained book provides a comprehensive description of the concept. Beginning with the basic properties and numerical methods, it then guides readers through to the most recent advances in applications to complex systems. Practical algorithms are thoroughly reviewed and their performance is discussed, while a broad set of examples illustrate the wide range of potential applications. The description of various numerical and analytical techniques for the computation of Lyapunov exponents offers an extensive array of tools for the characterization of phenomena such as synchronization, weak and global chaos in low and high-dimensional set-ups, and localization. This text equips readers with all the investigative expertise needed to fully explore the dynamical properties of complex systems, making it ideal for both graduate students and experienced researchers.

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Yes, you can access Lyapunov Exponents by Arkady Pikovsky,Antonio Politi in PDF and/or ePUB format, as well as other popular books in Physical Sciences & Physics. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover
  2. Half-title
  3. Title page
  4. Copyright information
  5. Table of contents
  6. Preface
  7. 1 Introduction
  8. 2 The basics
  9. 3 Numerical methods
  10. 4 Lyapunov vectors
  11. 5 Fluctuations, finite-time and generalised exponents
  12. 6 Dimensions and dynamical entropies
  13. 7 Finite-amplitude exponents
  14. 8 Random systems
  15. 9 Coupled systems
  16. 10 High-dimensional systems: general
  17. 11 High-dimensional systems: Lyapunov vectors and finite-size effects
  18. 12 Applications
  19. Appendix A Reference models
  20. Appendix B Pseudocodes
  21. Appendix C Random matrices: some general formulas
  22. Appendix D Symbolic encoding
  23. Bibliography
  24. Index