Lyapunov exponents: a tool to explore complex dynamics
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 r...
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| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2016
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| Links: | https://doi.org/10.1017/CBO9781139343473 |
| Zusammenfassung: | 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. |
| Umfang: | 1 Online-Ressource (xii, 285 Seiten) |
| ISBN: | 9781139343473 |
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| spelling | Pikovsky, Arkady 1956- Lyapunov exponents a tool to explore complex dynamics Arkady Pikovsky, University of Potsdam, Antonio Politi, University of Aberdeen Cambridge Cambridge University Press 2016 1 Online-Ressource (xii, 285 Seiten) txt c cr 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. Politi, A. Erscheint auch als Druck-Ausgabe 9781107030428 |
| spellingShingle | Pikovsky, Arkady 1956- Lyapunov exponents a tool to explore complex dynamics |
| title | Lyapunov exponents a tool to explore complex dynamics |
| title_auth | Lyapunov exponents a tool to explore complex dynamics |
| title_exact_search | Lyapunov exponents a tool to explore complex dynamics |
| title_full | Lyapunov exponents a tool to explore complex dynamics Arkady Pikovsky, University of Potsdam, Antonio Politi, University of Aberdeen |
| title_fullStr | Lyapunov exponents a tool to explore complex dynamics Arkady Pikovsky, University of Potsdam, Antonio Politi, University of Aberdeen |
| title_full_unstemmed | Lyapunov exponents a tool to explore complex dynamics Arkady Pikovsky, University of Potsdam, Antonio Politi, University of Aberdeen |
| title_short | Lyapunov exponents |
| title_sort | lyapunov exponents a tool to explore complex dynamics |
| title_sub | a tool to explore complex dynamics |
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