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Determining Threshold of Complete..(V67)

by Stefanski Andrzej

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Synchronization, coupling, and Lyapunov exponents

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AlbakiReads Editorial

Synchronization, coupling, and Lyapunov exponents

Andrzej Stefanski’s mathematical study examines complete synchronization in coupled dynamical systems and connects it to estimating Lyapunov exponents, with particular attention to non-differentiable systems. The book develops the problem beyond presenting isolated research results: it introduces a classification of possible couplings and sets out an estimation method with examples of its application. Its subject links a mathematical framework to areas where synchronization has been studied, including biology, communications, and laser physics.

Good fit for readers who enjoy

  • Readers studying applied mathematics and dynamical systems.
  • Researchers or students interested in synchronization and Lyapunov exponents.
  • Readers seeking a focused treatment of coupling classifications and exponent estimation methods.

Themes

Complete synchronizationCoupled dynamical systemsLyapunov exponentsNon-differentiable systemsApplied mathematics

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Book overview

This book is devoted to the phenomenon of synchronization and its application for determining the values of Lyapunov exponents. In recent years, the idea of synchronization has become an object of great interest in many areas of science, e.g., biology, communication or laser physics. Over the last decade, new types of synchronization have been identified and some interesting new ideas concerning the synchronization have also appeared.This book presents the complete synchronization problem rather than just results from the research. The problem is demonstrated in relation to a kind of coupling applied between dynamical systems, whereby a unique classification of possible couplings is introduced. Another novel feature is the connection presented between synchronization and the problem of determining the Lyapunov exponents, especially for non-differentiable systems. A detailed proposal of such an estimation method and examples of its application are included.
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