LEADER 05184nam 22007935 450 001 9910254584303321 005 20200701035441.0 010 $a3-319-42496-3 024 7 $a10.1007/978-3-319-42496-5 035 $a(CKB)3710000000926226 035 $a(DE-He213)978-3-319-42496-5 035 $a(MiAaPQ)EBC6301761 035 $a(MiAaPQ)EBC5590579 035 $a(Au-PeEL)EBL5590579 035 $a(OCoLC)1066183857 035 $a(PPN)196323908 035 $a(EXLCZ)993710000000926226 100 $a20161024d2017 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aChaos: Concepts, Control and Constructive Use /$fby Yurii Bolotin, Anatoli Tur, Vladimir Yanovsky 205 $a2nd ed. 2017. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2017. 215 $a1 online resource (XI, 281 p. 119 illus.) 225 1 $aUnderstanding Complex Systems,$x1860-0832 311 $a3-319-42495-5 327 $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. 330 $aThis book offers a short and concise introduction to the many facets of chaos theory. While the study of chaotic behavior in nonlinear, dynamical systems is a well-established research field with ramifications in all areas of science, there is a lot to be learnt about how chaos can be controlled and, under appropriate conditions, can actually be constructive in the sense of becoming a control parameter for the system under investigation, stochastic resonance being a prime example. The present work stresses the latter aspects and, after recalling the paradigm changes introduced by the concept of chaos, leads the reader skillfully through the basics of chaos control by detailing the relevant algorithms for both Hamiltonian and dissipative systems, among others. The main part of the book is then devoted to the issue of synchronization in chaotic systems, an introduction to stochastic resonance, and a survey of ratchet models. In this second, revised and enlarged edition, two more chapters explore the many interfaces of quantum physics and dynamical systems, examining in turn statistical properties of energy spectra, quantum ratchets, and dynamical tunneling, among others. This text is particularly suitable for non-specialist scientists, engineers, and applied mathematical scientists from related areas, wishing to enter the field quickly and efficiently. From the reviews of the first edition: This book is an excellent introduction to the key concepts and control of chaos in (random) dynamical systems [...] The authors find an outstanding balance between main physical ideas and mathematical terminology to reach their audience in an impressive and lucid manner. This book is ideal for anybody who would like to grasp quickly the main issues related to chaos in discrete and continuous time. Henri Schurz, Zentralblatt MATH, Vol. 1178, 2010. 410 0$aUnderstanding Complex Systems,$x1860-0832 606 $aStatistical physics 606 $aDynamics 606 $aVibration 606 $aDynamics 606 $aSystem theory 606 $aComputational complexity 606 $aPhysics 606 $aComplex Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/P33000 606 $aVibration, Dynamical Systems, Control$3https://scigraph.springernature.com/ontologies/product-market-codes/T15036 606 $aSystems Theory, Control$3https://scigraph.springernature.com/ontologies/product-market-codes/M13070 606 $aComplexity$3https://scigraph.springernature.com/ontologies/product-market-codes/T11022 606 $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013 606 $aStatistical Physics and Dynamical Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/P19090 615 0$aStatistical physics. 615 0$aDynamics. 615 0$aVibration. 615 0$aDynamics. 615 0$aSystem theory. 615 0$aComputational complexity. 615 0$aPhysics. 615 14$aComplex Systems. 615 24$aVibration, Dynamical Systems, Control. 615 24$aSystems Theory, Control. 615 24$aComplexity. 615 24$aMathematical Methods in Physics. 615 24$aStatistical Physics and Dynamical Systems. 676 $a003.857 700 $aBolotin$b Yurii$4aut$4http://id.loc.gov/vocabulary/relators/aut$0818779 702 $aTur$b Anatoli$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aYanovsky$b Vladimir$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254584303321 996 $aChaos: Concepts, Control and Constructive Use$92039151 997 $aUNINA