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Lyapunov exponents : a tool to explore complex dynamics / Arkady Pikovsky and Antonio Politi.

By: Contributor(s): Material type: TextTextPublication details: Cambridge : Cambridge University Press, 2016.Description: xii, 285 p. : illustrations ; 26 cmISBN:
  • 9781107030428 (hardback : alk. paper)
Subject(s): DDC classification:
  • 515.352 23 P636
Contents:
1. Introduction -- 2. The basics -- 3. Numerical methods -- 4. Lyapunov vectors -- 5. Fluctuations, finite-time and generalised 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.
Summary: A comprehensive description of the Lyapunov exponent tools from basic to advanced levels, with practical applications for complex systems.
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Includes bibliographical references and index.

1. Introduction --
2. The basics --
3. Numerical methods --
4. Lyapunov vectors --
5. Fluctuations, finite-time and generalised 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.

A comprehensive description of the Lyapunov exponent tools from basic to advanced levels, with practical applications for complex systems.

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