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Nonlinear Systems and Complexity

Regularity and Stochasticity of Nonlinear Dynamical Systems

Editors: Volchenkov, Dimitri, Leoncini, Xavier (Eds.)

  • 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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Buy this book

eBook 118,99 €
price for Spain (gross)
  • ISBN 978-3-319-58062-3
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 155,99 €
price for Spain (gross)
  • ISBN 978-3-319-58061-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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.


About the authors

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 (12 chapters)

  • Solvability of Some Integro-Differential Equations with Anomalous Diffusion

    Vougalter, Vitali (et al.)

    Pages 1-17

    Preview Buy Chapter 30,19 €
  • Poincaré Recurrences in Ergodic Systems Without Mixing

    Anishchenko, Vadim (et al.)

    Pages 19-49

    Preview Buy Chapter 30,19 €
  • Success, Hierarchy, and Inequality Under Uncertainty

    Volchenkov, Dimitri

    Pages 51-78

    Preview Buy Chapter 30,19 €
  • Functional Differential Equations with Piecewise Constant Argument

    Akhmet, M. U.

    Pages 79-109

    Preview Buy Chapter 30,19 €
  • Grazing in Impulsive Differential Equations

    Akhmet, M. U. (et al.)

    Pages 111-159

    Preview Buy Chapter 30,19 €

Buy this book

eBook 118,99 €
price for Spain (gross)
  • ISBN 978-3-319-58062-3
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 155,99 €
price for Spain (gross)
  • ISBN 978-3-319-58061-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Regularity and Stochasticity of Nonlinear Dynamical Systems
Editors
  • Dimitri Volchenkov
  • Xavier Leoncini
Series Title
Nonlinear Systems and Complexity
Series Volume
21
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-58062-3
DOI
10.1007/978-3-319-58062-3
Hardcover ISBN
978-3-319-58061-6
Series ISSN
2195-9994
Edition Number
1
Number of Pages
X, 311
Number of Illustrations
20 b/w illustrations, 79 illustrations in colour
Topics