Regularity and stochasticity of nonlinear dynamical systems
General Material Designation
[electronic resources]
First Statement of Responsibility
/ Edited by Dimitri Volchenkov, Xavier Leoncini.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Cham, Switzerland
Name of Publisher, Distributor, etc.
: Springer Berlin Heidelberg,
Date of Publication, Distribution, etc.
, 2018.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
x, 311 pages.
Other Physical Details
: ill., tables.
SERIES
Series Title
Nonlinear Systems and Complexity.
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references and index.
SUMMARY OR ABSTRACT
Text of Note
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.