Arkady Pikovsky, Antonio Politi

Lyapunov Exponents

A Tool to Explore Complex Dynamics

• Gebundenes Buch

Produktbeschreibung

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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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 295
• Erscheinungstermin: 9. März 2016
• Englisch
• Abmessung: 256mm x 189mm x 18mm
• Gewicht: 821g
• ISBN-13: 9781107030428
• ISBN-10: 1107030420
• Artikelnr.: 43043732

Autorenporträt

Arkady Pikovsky is Professor of Theoretical Physics at the University of Potsdam. He is a member of the editorial board for Physica D and Chaotic and Complex Systems Editor for the Journal of Physics A: Mathematical and Theoretical. He is a Fellow of the American Physical Society and co-author of Synchronization: A Universal Concept in Nonlinear Sciences. His current research focuses on nonlinear physics of complex systems.

Inhaltsangabe

1. Introduction
2. The basics
3. Numerical methods
4. Lyapunov vectors
5. Fluctuations and generalized exponents
6. Dimensions and dynamical entropies
7. Finite amplitude exponents
8. Random systems
9. Coupled systems
10. High-dimensional systems: general
11. High-dimensional systems: Lyapunov vectors and finite-size effects
12. Applications
Appendices
Index.