LEADER 04457nam 22006615 450 001 9910299908403321 005 20200706011135.0 010 $a3-319-58062-0 024 7 $a10.1007/978-3-319-58062-3 035 $a(CKB)3710000001411720 035 $a(DE-He213)978-3-319-58062-3 035 $a(MiAaPQ)EBC4886618 035 $a(PPN)202992616 035 $a(EXLCZ)993710000001411720 100 $a20170624d2018 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aRegularity and Stochasticity of Nonlinear Dynamical Systems /$fedited by Dimitri Volchenkov, Xavier Leoncini 205 $a1st ed. 2018. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2018. 215 $a1 online resource (X, 311 p. 99 illus., 79 illus. in color.) 225 1 $aNonlinear Systems and Complexity,$x2195-9994 ;$v21 311 $a3-319-58061-2 320 $aIncludes bibliographical references at the end of each chapters and index. 327 $aSolvability of Some Integro-Di?erential Equations with Anomalous Di?usion -- Poincare Recurrences in Ergodic Systems Without Mixing -- Success, Hierarchy, and Inequality under Uncertainty -- Grazing in Impulsive Differential Equations -- On Local Topological Classi?cation of Two-dimensional Orientable, Nonorientable and Half-orientable Horseshoes -- From Chaos to Order in a Ring of Coupled Oscillator Swith Frequency Mismatch -- Dynamics of some nonlinear meromorphic functions -- Dynamics of oscillatory networks with pulse delayed coupling -- Bifurcation trees of period-3 motions to chaos in a time-delayed Duffing Oscillator -- Travelable Period-1 Motions to Chaos in a Periodically Excited Pendulum -- Automorphic systems and differential-invariant solutions. 330 $aThis book presents recent developments in nonlinear dynamics and physics with an emphasis on complex systems. The contributors provide recent theoretic developments and new techniques to solve nonlinear dynamical systems and help readers understand complexity, stochasticity, and regularity in nonlinear dynamical systems. This book covers integro-differential equation solvability, Poincare recurrences in ergodic systems, orientable horseshoe structure, analytical routes of periodic motions to chaos, grazing on impulsive differential equations, from chaos to order in coupled oscillators, and differential-invariant solutions for automorphic systems, inequality under uncertainty. Presents the most up-to-date understanding in nonlinear dynamical systems along with new theories and methodologies applied to nonlinear physics, engineering, and social science; Includes differential-invariant solutions, classification of orientable horseshoes, and nonlinear time-delay systems; Illustrates solution routes to chaos for nonlinear differential equations. 410 0$aNonlinear Systems and Complexity,$x2195-9994 ;$v21 606 $aComputational complexity 606 $aStatistical physics 606 $aPartial differential equations 606 $aDynamics 606 $aErgodic theory 606 $aComplexity$3https://scigraph.springernature.com/ontologies/product-market-codes/T11022 606 $aApplications of Nonlinear Dynamics and Chaos Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/P33020 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 606 $aDynamical Systems and Ergodic Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M1204X 615 0$aComputational complexity. 615 0$aStatistical physics. 615 0$aPartial differential equations. 615 0$aDynamics. 615 0$aErgodic theory. 615 14$aComplexity. 615 24$aApplications of Nonlinear Dynamics and Chaos Theory. 615 24$aPartial Differential Equations. 615 24$aDynamical Systems and Ergodic Theory. 676 $a530.15 702 $aVolchenkov$b Dimitri$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aLeoncini$b Xavier$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299908403321 996 $aRegularity and Stochasticity of Nonlinear Dynamical Systems$92501136 997 $aUNINA