04457nam 22006615 450 991029990840332120200706011135.03-319-58062-010.1007/978-3-319-58062-3(CKB)3710000001411720(DE-He213)978-3-319-58062-3(MiAaPQ)EBC4886618(PPN)202992616(EXLCZ)99371000000141172020170624d2018 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierRegularity and Stochasticity of Nonlinear Dynamical Systems /edited by Dimitri Volchenkov, Xavier Leoncini1st ed. 2018.Cham :Springer International Publishing :Imprint: Springer,2018.1 online resource (X, 311 p. 99 illus., 79 illus. in color.) Nonlinear Systems and Complexity,2195-9994 ;213-319-58061-2 Includes bibliographical references at the end of each chapters and index.Solvability of Some Integro-Differential Equations with Anomalous Diffusion -- Poincare Recurrences in Ergodic Systems Without Mixing -- Success, Hierarchy, and Inequality under Uncertainty -- Grazing in Impulsive Differential Equations -- On Local Topological Classification 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.This 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.Nonlinear Systems and Complexity,2195-9994 ;21Computational complexityStatistical physicsPartial differential equationsDynamicsErgodic theoryComplexityhttps://scigraph.springernature.com/ontologies/product-market-codes/T11022Applications of Nonlinear Dynamics and Chaos Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/P33020Partial Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12155Dynamical Systems and Ergodic Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M1204XComputational complexity.Statistical physics.Partial differential equations.Dynamics.Ergodic theory.Complexity.Applications of Nonlinear Dynamics and Chaos Theory.Partial Differential Equations.Dynamical Systems and Ergodic Theory.530.15Volchenkov Dimitriedthttp://id.loc.gov/vocabulary/relators/edtLeoncini Xavieredthttp://id.loc.gov/vocabulary/relators/edtMiAaPQMiAaPQMiAaPQBOOK9910299908403321Regularity and Stochasticity of Nonlinear Dynamical Systems2501136UNINA