Regularity and Stochasticity of Nonlinear Dynamical Systems

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 nonlin...

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Bibliographic Details
Other Authors: Volchenkov, Dimitri (Editor), Leoncini, Xavier (Editor)
Format: eBook
Language:English
Published: Cham Springer International Publishing 2018, 2018
Edition:1st ed. 2018
Series:Nonlinear Systems and Complexity
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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100 1 |a Volchenkov, Dimitri  |e [editor] 
245 0 0 |a Regularity and Stochasticity of Nonlinear Dynamical Systems  |h Elektronische Ressource  |c edited by Dimitri Volchenkov, Xavier Leoncini 
250 |a 1st ed. 2018 
260 |a Cham  |b Springer International Publishing  |c 2018, 2018 
300 |a X, 311 p. 99 illus., 79 illus. in color  |b online resource 
505 0 |a 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 
653 |a Dynamics 
653 |a Nonlinear Optics 
653 |a Dynamical Systems 
653 |a Dynamical systems 
653 |a Differential equations 
653 |a Differential Equations 
653 |a Nonlinear theories 
653 |a Applied Dynamical Systems 
700 1 |a Leoncini, Xavier  |e [editor] 
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989 |b Springer  |a Springer eBooks 2005- 
490 0 |a Nonlinear Systems and Complexity 
028 5 0 |a 10.1007/978-3-319-58062-3 
856 4 0 |u https://doi.org/10.1007/978-3-319-58062-3?nosfx=y  |x Verlag  |3 Volltext 
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520 |a 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-delaysystems; Illustrates solution routes to chaos for nonlinear differential equations