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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.

We always craved a clean head. A device that is out of the box is an amplifier without added effects. Uncomplicated, intuitive, and for each one ...

We always craved a clean head. A device that is out of the box is an amplifier without added effects. Uncomplicated, intuitive, and for each one ...

Darkglass Exponent 500 Bass Amplifier Head We always craved a clean head. A device that 'out of the box' is an amplifier without added effects. Un...

Up for grabs is the brand new head from Darkglass E500 description below: About This ListingDarkglass always craved a clean head. A device that ...

Exponent 500 is a concept Darkglass calls a Powered Platform: a clean amplifier that, once connected, turns into a multi-effect, with fully program...

"We always craved a clean head. A device that is out of the box is an amplifier without added effects. Uncomplicated, intuitive, and for each one...

We always craved a clean head. A device that is out of the box is an amplifier without added effects. Uncomplicated, intuitive, and for each one ...

We always craved a clean head. A device that is out of the box is an amplifier without added effects. Uncomplicated, intuitive, and for each one ...

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.

This book has been considered by academicians and scholars of great significance and value to literature. This forms a part of the knowledge base for future generations. So that the book is never forgotten we have represented this book in a print format as the same form as it was originally first published. Hence any marks or annotations seen are left intentionally to preserve its true nature.

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Hardcover. Some light handling and shelf wear to covers. Otherwise clean, tight and unmarked. Very neat -- a sound and handsome copy.

An unread copy that shows light shelf wear, but is in otherwise good condition.

This book presents the theory of dynamical systems with nonzero Lyapunov exponents, offering a rigorous mathematical foundation for deterministic chaos - the appearance of "chaotic" motions in pure deterministic dynamical systems. These ideas and methods are used in many areas of mathematics as well as in physics, biology, and engineering. Despite the substantial amount of research on the subject, there have been relatively few attempts to summarize and unify results in a single manuscript. This comprehensive book can be used as a reference or as a supplement to an advanced course on dynamical systems.

Limited Copies Available - Very Good Condition - May Have School Stamp And/or Student Names - May Have Some Cover Wear - Does Not Include Any Cds or Access Codes If Applicable

Book is in Used-VeryGood condition. Pages and cover are clean and intact. Used items may not include supplementary materials such as CDs or access codes. May show signs of minor shelf wear and contain very limited notes and highlighting. 0.66

This book presents the theory of dynamical systems with nonzero Lyapunov exponents, offering a rigorous mathematical foundation for deterministic chaos - the appearance of "chaotic" motions in pure deterministic dynamical systems. These ideas and methods are used in many areas of mathematics as well as in physics, biology, and engineering. Despite the substantial amount of research on the subject, there have been relatively few attempts to summarize and unify results in a single manuscript. This comprehensive book can be used as a reference or as a supplement to an advanced course on dynamical systems.

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Fifty-eight games, profoundly annotated, reveal how Nimzovich applied his own revolutionary principles.