Lyapunov Exponents: A Tool to Explore Complex Dynamics

Brand new, unused hardcover copy of "Lyapunov Exponents: A Tool to Explore Complex Dynamics" by Arkady Pikovsky and Antonio Politi. This is a comprehensive, graduate-level physics and mathematics textbook exploring chaos theory, complex systems, and numerical methods for computing Lyapunov exponents. Book Details: Title: Lyapunov Exponents: A Tool to Explore Complex Dynamics Authors: Arkady Pikovsky and Antonio Politi Publisher: Cambridge University Press Format: Hardcover ISBN-13: 9781107030428 ISBN-10: [hidden information] Pages: 298 Condition: Brand New. The binding is tight, pages are pristine, and the cover shows no wear. About the Book: Lyapunov exponents lie at the heart of chaos theory and are widely used in studies of complex dynamics. Utilizing a pragmatic, physical approach, this self-contained textbook provides a comprehensive description of the concept. It begins with basic properties and numerical methods, then guides readers through recent advances in applications to complex systems. Ideal for graduate students, mathematicians, and experienced physics researchers. Key Topics Covered: Thorough review of practical algorithms and their performance. Broad set of examples illustrating a wide range of potential applications. Detailed discussion of synchronization, weak and global chaos, and localization. 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.