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000777747 1001_ $$aBolotin, Yurii,$$eauthor.
000777747 24510 $$aChaos :$$bconcepts, control and constructive use /$$cYurii Bolotin, Anatoli Tur, Vladimir Yanovsky.
000777747 250__ $$a2nd ed.
000777747 264_1 $$aCham :$$bSpringer,$$c©2017.
000777747 300__ $$a1 online resource (xi, 281 pages) :$$billustrations.
000777747 336__ $$atext$$btxt$$2rdacontent
000777747 337__ $$acomputer$$bc$$2rdamedia
000777747 338__ $$aonline resource$$bcr$$2rdacarrier
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000777747 4901_ $$aUnderstanding complex systems,$$x1860-0832
000777747 4901_ $$aSpringer complexity
000777747 504__ $$aIncludes bibliographical references and index.
000777747 5050_ $$aIntroduction -- Paradigm for Chaos -- Main Features of Chaotic Systems -- Reconstruction of Dynamical Systems -- Controlling Chaos -- Synchronization of Chaotic Systems -- Stochastic Resonance -- The Appearance of Regular Fluxes Without Gradients -- Quantum Manifestations of Classical chaoticity -- Tunneling and Chaos.
000777747 506__ $$aAccess limited to authorized users.
000777747 520__ $$aThis book offers a short and concise introduction to the many facets of chaos theory. While the study of chaotic behavior in nonlinear, dynamical systems is a well-established research field with ramifications in all areas of science, there is a lot to be learnt about how chaos can be controlled and, under appropriate conditions, can actually be constructive in the sense of becoming a control parameter for the system under investigation, stochastic resonance being a prime example. The present work stresses the latter aspects and, after recalling the paradigm changes introduced by the concept of chaos, leads the reader skillfully through the basics of chaos control by detailing the relevant algorithms for both Hamiltonian and dissipative systems, among others. The main part of the book is then devoted to the issue of synchronization in chaotic systems, an introduction to stochastic resonance, and a survey of ratchet models. In this second, revised and enlarged edition, two more chapters explore the many interfaces of quantum physics and dynamical systems, examining in turn statistical properties of energy spectra, quantum ratchets, and dynamical tunneling, among others. This text is particularly suitable for non-specialist scientists, engineers, and applied mathematical scientists from related areas, wishing to enter the field quickly and efficiently. From the reviews of the first edition: This book is an excellent introduction to the key concepts and control of chaos in (random) dynamical systems ... The authors find an outstanding balance between main physical ideas and mathematical terminology to reach their audience in an impressive and lucid manner. This book is ideal for anybody who would like to grasp quickly the main issues related to chaos in discrete and continuous time. Henri Schurz, Zentralblatt MATH, Vol. 1178, 2010.
000777747 650_0 $$aChaotic behavior in systems.
000777747 650_0 $$aPhysics.
000777747 650_0 $$aSystem theory.
000777747 650_0 $$aComputational complexity.
000777747 650_0 $$aVibration.
000777747 650_0 $$aDynamics.
000777747 7001_ $$aTur, Anatoli,$$eauthor.
000777747 7001_ $$aYanovsky, Vladimir,$$eauthor.
000777747 77608 $$iPrint version:$$z9783319424958
000777747 830_0 $$aUnderstanding complex systems.
000777747 830_0 $$aSpringer complexity.
000777747 852__ $$bebk
000777747 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-42496-5$$zOnline Access$$91397441.1
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