Overview
- 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
- Includes supplementary material: sn.pub/extras
Part of the book series: Nonlinear Systems and Complexity (NSCH, volume 21)
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Table of contents (12 chapters)
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Front Matter
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Back Matter
Keywords
- Nonlinear differential equation solvability
- Differential-invariant solutions
- Classification of orientable horseshoes
- From periodic motions to chaos
- From chaos to order
- Nonlinear time-delay systems
- Grazing in Impulsive differential equations
- Nonlinear time-delay systems
- Impulsive dynamical systems
- Uncertainty in success, hierarchy and inequality
- complexity
- partial differential equations
About this book
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.
Editors and Affiliations
About the editors
Xavier Leoncini is Associate Professor at Aix-Marseille University, France.
Bibliographic Information
Book Title: Regularity and Stochasticity of Nonlinear Dynamical Systems
Editors: Dimitri Volchenkov, Xavier Leoncini
Series Title: Nonlinear Systems and Complexity
DOI: https://doi.org/10.1007/978-3-319-58062-3
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer International Publishing AG 2018
Hardcover ISBN: 978-3-319-58061-6Published: 03 July 2017
Softcover ISBN: 978-3-319-86313-9Published: 10 August 2018
eBook ISBN: 978-3-319-58062-3Published: 24 June 2017
Series ISSN: 2195-9994
Series E-ISSN: 2196-0003
Edition Number: 1
Number of Pages: X, 311
Number of Illustrations: 20 b/w illustrations, 79 illustrations in colour
Topics: Complexity, Applications of Nonlinear Dynamics and Chaos Theory, Partial Differential Equations, Dynamical Systems and Ergodic Theory