Regularity and Stochasticity of Nonlinear Dynamical Systems

by Dimitri Volchenkov (Editor), Xavier Leoncini (Editor)

Overview

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, shasticity, 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.

Product Details

ISBN-13:	9783319580616
Publisher:	Springer International Publishing
Publication date:	06/25/2017
Series:	Nonlinear Systems and Complexity , #21
Edition description:	1st ed. 2018
Pages:	311
Product dimensions:	6.10(w) x 9.25(h) x (d)

About the Author

Dimitri Volchenkov is Associate Professor at the Department of Mathematics & Statistics, Texas Tech University, Lubbock, TX, USA and Sichuan University of Science and Engineering, Zigong, China.

Xavier Leoncini is Associate Professor at Aix-Marseille University, France.

Table of Contents

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.