Regularity and Stochasticity of Nonlinear Dynamical Systems (Nonlinear Systems and Complexity, 21) - Hardcover

Hardcover

ISBN 10: 3319580612 ISBN 13: 9783319580616

Publisher: Springer, 2017

Synopsis

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 this title

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.

From the Back Cover

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-delaysystems;
  
• Illustrates solution routes to chaos for nonlinear differential equations.
  

Edition details

• Publisher: Springer
• Publication date: 2017
• Language: English
• ISBN 10: 3319580612
• ISBN 13: 9783319580616
• Binding: Hardcover
• Edition number: 1
• Number of pages: 321
• Editor: Volchenkov Dimitri, Leoncini Xavier