Chaos: Concepts, Control and Constructive Use

The study of chaotic behaviour in nonlinear, dynamical systems is now a well established research domain with ramifications into all fields of sciences, spanning a vast range of applications, from celestial mechanics, via climate change, to the functioning of brownian motors in cells. A more recent...

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Détails bibliographiques
Cote:Libro Electrónico
Auteurs principaux: Bolotin, Yurii (Auteur), Tur, Anatoli (Auteur), Yanovsky, Vladimir (Auteur)
Collectivité auteur: SpringerLink (Online service)
Format: Électronique eBook
Langue:Inglés
Publié: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2009.
Édition:1st ed. 2009.
Collection:Understanding Complex Systems,
Sujets:
System theory.
Multibody systems.
Vibration.
Mechanics, Applied.
Dynamics.
Nonlinear theories.
Control theory.
Mathematical physics.
Complex Systems.
Multibody Systems and Mechanical Vibrations.
Applied Dynamical Systems.
Systems Theory, Control .
Theoretical, Mathematical and Computational Physics.
Accès en ligne:Texto Completo
Description
Résumé:The study of chaotic behaviour in nonlinear, dynamical systems is now a well established research domain with ramifications into all fields of sciences, spanning a vast range of applications, from celestial mechanics, via climate change, to the functioning of brownian motors in cells. A more recent discovery is that chaos can be controlled and, under appropriate conditions, can actually be constructive in the sense of becoming a control parameter itself for the system under investigation, stochastic resonance being a prime example. The present work is putting emphasis on the latter aspects, and after recalling the paradigm changes introduced by the concept of chaos, leads the reader skillfully through the basics of chaos control by detailing relevant algorithms for both Hamiltonian and dissipative systems amongst others. The main part of the book is then devoted to the issue of synchronization in chaotic systems, an introduction to stochastic resonance and a survey of ratchet models. This short and concise primer is particularly suitable for postgraduate students and non-specialist scientists from related areas, wishing to enter the field quickly and efficiently.
Description matérielle:VIII, 198 p. 90 illus. online resource.
ISBN:9783642009372
ISSN:1860-0840

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