LEADER 04605nam 22008175 450 001 9910300394703321 005 20200706044332.0 010 $a3-319-06871-7 024 7 $a10.1007/978-3-319-06871-8 035 $a(CKB)3710000000143821 035 $a(EBL)1782983 035 $a(SSID)ssj0001275298 035 $a(PQKBManifestationID)11741069 035 $a(PQKBTitleCode)TC0001275298 035 $a(PQKBWorkID)11334322 035 $a(PQKB)10873861 035 $a(DE-He213)978-3-319-06871-8 035 $a(MiAaPQ)EBC6311938 035 $a(MiAaPQ)EBC1782983 035 $a(Au-PeEL)EBL1782983 035 $a(CaPaEBR)ebr10970489 035 $a(OCoLC)882091202 035 $a(PPN)179767399 035 $a(EXLCZ)993710000000143821 100 $a20140616d2014 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aDeterministic Nonlinear Systems $eA Short Course /$fby Vadim S. Anishchenko, Tatyana E. Vadivasova, Galina I. Strelkova 205 $a1st ed. 2014. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2014. 215 $a1 online resource (300 p.) 225 1 $aSpringer Series in Synergetics,$x0172-7389 300 $aDescription based upon print version of record. 311 $a3-319-06870-9 327 $aFrom the Contents: Part I Dynamical Systems -- Stability of Dynamical Systems -- Linear Approach -- Bifurcations of Dynamical Systems -- Dynamical Systems With One Degree of Freedom -- Part II From Order to Chaos: Bifurcation Scenarios -- Robust and Nonrobust Dynamical Systems. Classification of Attractor Types -- Characteristics of Poincare Recurrences -- Fractals in Nonlinear Dynamics -- The Anishchenko?Astakhov Oscillator of Chaotic Self-Sustained Oscillations -- Quasiperiodic Oscillator with Two Independent Frequencies -- Synchronization of Periodic Self-Sustained Oscillations -- Synchronization of Two-Frequency Self-Sustained Oscillations.-Synchronization of Chaotic Oscillations -- References. 330 $aThis text is a short yet complete course on nonlinear dynamics of deterministic systems. Conceived as a modular set of 15 concise lectures it reflects the many years of teaching experience by the authors. The lectures treat in turn the fundamental aspects of the theory of dynamical systems, aspects of stability and bifurcations, the theory of deterministic chaos and attractor dimensions, as well as the elements of the theory of Poincare recurrences.Particular attention is paid to the analysis of the generation of periodic, quasiperiodic and chaotic self-sustained oscillations and to the issue of synchronization in such systems.  This book is aimed at graduate students and non-specialist researchers with a background in physics, applied mathematics and engineering wishing to enter this exciting field of research. 410 0$aSpringer Series in Synergetics,$x0172-7389 606 $aStatistical physics 606 $aContinuum physics 606 $aVibration 606 $aDynamical systems 606 $aDynamics 606 $aMathematical physics 606 $aApplications of Nonlinear Dynamics and Chaos Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/P33020 606 $aClassical and Continuum Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P2100X 606 $aVibration, Dynamical Systems, Control$3https://scigraph.springernature.com/ontologies/product-market-codes/T15036 606 $aMathematical Applications in the Physical Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M13120 615 0$aStatistical physics. 615 0$aContinuum physics. 615 0$aVibration. 615 0$aDynamical systems. 615 0$aDynamics. 615 0$aMathematical physics. 615 14$aApplications of Nonlinear Dynamics and Chaos Theory. 615 24$aClassical and Continuum Physics. 615 24$aVibration, Dynamical Systems, Control. 615 24$aMathematical Applications in the Physical Sciences. 676 $a003.75 700 $aAnishchenko$b Vadim S$4aut$4http://id.loc.gov/vocabulary/relators/aut$0791843 702 $aVadivasova$b Tatyana E$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aStrelkova$b Galina I$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910300394703321 996 $aDeterministic Nonlinear Systems$92503204 997 $aUNINA