Lyapunov exponents: a tool to explore complex dynamics

By:

Pikovsky, Arkady

Contributor(s):

Polite, Antonio [Co-author]

Publication details: Cambridge University Press, 2016. UK:Description: xii, 285p.;hb. 26cmISBN:

9781107030428

Subject(s):

DDC classification:

515.352 PIK

Summary: 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. https://www.cambridge.org/in/academic/subjects/physics/nonlinear-science-and-fluid-dynamics/lyapunov-exponents-tool-explore-complex-dynamics?format=HB&isbn=9781107030428

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Item type	Current library	Collection	Call number	Copy number	Status	Date due	Barcode
Books	IIT Gandhinagar General Stacks	General	515.352 PIK (Browse shelf(Opens below))	1	Available		031098

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Previous	515.352 MOR Holomorphic dynamics	515.352 NAN Ordinary differential equations: principles and applications	515.352 PAL Hyperbolicity and sensitive chaotic dynamics at homoclinic bifurcations	515.352 PIK Lyapunov exponents: a tool to explore complex dynamics	515.353 DRA Navier stokes equations : a classification of flows and exact solutions	515.353 EVA Partial differential equations	515.353 EVA Partial differential equations	Next

includes Appendix, bibliography and index

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.

https://www.cambridge.org/in/academic/subjects/physics/nonlinear-science-and-fluid-dynamics/lyapunov-exponents-tool-explore-complex-dynamics?format=HB&isbn=9781107030428

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