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Regularity and Stochasticity of Nonlinear Dynamical Systems

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Regularity and Stochasticity of Nonlinear Dynamical Systems/ edited by Dimitri Volchenkov, Xavier Leoncini.
other author:	Volchenkov, Dimitri.
Description:	X, 311 p. 99 illus., 79 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Computational complexity. -
Online resource:	https://doi.org/10.1007/978-3-319-58062-3
ISBN:	9783319580623

Regularity and Stochasticity of Nonlinear Dynamical Systems
Regularity and Stochasticity of Nonlinear Dynamical Systems[electronic resource] /edited by Dimitri Volchenkov, Xavier Leoncini. - 1st ed. 2018. - X, 311 p. 99 illus., 79 illus. in color.online resource. - Nonlinear Systems and Complexity,212195-9994 ;. - Nonlinear Systems and Complexity,12.

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.

ISBN: 9783319580623

Standard No.: 10.1007/978-3-319-58062-3doiSubjects--Topical Terms:

527777
Computational complexity.

LC Class. No.: QA267.7

Dewey Class. No.: 620

Regularity and Stochasticity of Nonlinear Dynamical Systems
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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-delay systems; Illustrates solution routes to chaos for nonlinear differential equations.
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