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Chaos: Concepts, Control and Constructive Use

  • Livre Relié
  • 281 Nombre de pages
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With an emphasis on controlled and constructive chaos, this concise primer for postgraduates skillfully leads the reader through t... Lire la suite
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Description

With an emphasis on controlled and constructive chaos, this concise primer for postgraduates skillfully leads the reader through the algorithms of chaos control, and then tackles synchronization in chaotic systems, stochastic resonance and ratchet models.


The study of physics has changed in character, mainly due to the passage from the analyses of linear systems to the analyses of nonlinear systems. Such a change began, it goes without saying, a long time ago but the qualitative change took place and boldly evolved after the understanding of the nature of chaos in nonlinear s- tems. The importance of these systems is due to the fact that the major part of physical reality is nonlinear. Linearity appears as a result of the simpli?cation of real systems, and often, is hardly achievable during the experimental studies. In this book, we focus our attention on some general phenomena, naturally linked with nonlinearity where chaos plays a constructive part. The ?rst chapter discusses the concept of chaos. It attempts to describe the me- ing of chaos according to the current understanding of it in physics and mat- matics. The content of this chapter is essential to understand the nature of chaos and its appearance in deterministic physical systems. Using the Turing machine, we formulate the concept of complexity according to Kolmogorov. Further, we state the algorithmic theory of KolmogorovMartin-Lof ¨ randomness, which gives a deep understanding of the nature of deterministic chaos. Readers will not need any advanced knowledge to understand it and all the necessary facts and de?nitions will be explained.

Offers a concise introduction to the key concepts and control of chaos in dynamical systems

Explores, in this second edition, the many interfaces of quantum physics and dynamical systems

Examines the potential role of chaos as control parameter itself in applications



Contenu
Introduction.- Paradigm for Chaos.- Main Features of Chaotic Systems.- Reconstruction of Dynamical Systems.- Controlling Chaos.- Synchronization of Chaotic Systems.- Stochastic Resonance.- The Appearance of Regular Fluxes Without Gradients.- Quantum Manifestations of Classical chaoticity.- Tunneling and Chaos.

Informations sur le produit

Titre: Chaos: Concepts, Control and Constructive Use
Auteur:
Code EAN: 9783319424958
ISBN: 978-3-319-42495-8
Format: Livre Relié
Editeur: Springer, Berlin
Genre: Technique
nombre de pages: 281
Poids: g
Taille: H22mm x B243mm x T167mm
Année: 2016
Auflage: 2. Aufl.

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