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Cover: 9781107030428 | Lyapunov Exponents | Arkady Pikovsky (u. a.) | Buch | Englisch | 2016
Rückseite: 9781107030428 | Lyapunov Exponents | Arkady Pikovsky (u. a.) | Buch | Englisch | 2016
Cover: 9781107030428 | Lyapunov Exponents | Arkady Pikovsky (u. a.) | Buch | Englisch | 2016
Rückseite: 9781107030428 | Lyapunov Exponents | Arkady Pikovsky (u. a.) | Buch | Englisch | 2016
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Lyapunov Exponents
Buch von Arkady Pikovsky (u. a.)
Sprache: Englisch

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Beschreibung
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.
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.
Über den Autor
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.
Zusammenfassung
Utilising a pragmatic, physical approach, this self-contained book provides a comprehensive description of Lyapunov exponents. Beginning with the basic properties and numerical methods, it then guides readers through to the most recent advances in applications to complex systems. It is ideal for both graduate students and experienced researchers.
Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2016
Fachbereich: Astronomie
Genre: Importe, Physik
Rubrik: Naturwissenschaften & Technik
Thema: Lexika
Medium: Buch
ISBN-13: 9781107030428
ISBN-10: 1107030420
Sprache: Englisch
Einband: Gebunden
Autor: Pikovsky, Arkady
Politi, Antonio
Hersteller: Cambridge University Press
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 260 x 183 x 21 mm
Von/Mit: Arkady Pikovsky (u. a.)
Erscheinungsdatum: 11.02.2016
Gewicht: 0,759 kg
Artikel-ID: 104596655
Über den Autor
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.
Zusammenfassung
Utilising a pragmatic, physical approach, this self-contained book provides a comprehensive description of Lyapunov exponents. Beginning with the basic properties and numerical methods, it then guides readers through to the most recent advances in applications to complex systems. It is ideal for both graduate students and experienced researchers.
Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2016
Fachbereich: Astronomie
Genre: Importe, Physik
Rubrik: Naturwissenschaften & Technik
Thema: Lexika
Medium: Buch
ISBN-13: 9781107030428
ISBN-10: 1107030420
Sprache: Englisch
Einband: Gebunden
Autor: Pikovsky, Arkady
Politi, Antonio
Hersteller: Cambridge University Press
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 260 x 183 x 21 mm
Von/Mit: Arkady Pikovsky (u. a.)
Erscheinungsdatum: 11.02.2016
Gewicht: 0,759 kg
Artikel-ID: 104596655
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