Functional Differential Equations with Piecewise Constant Argument.

Akhmet M.

in: Regularity and Stochasticity of Nonlinear Dynamical Systems., Dimitri Volchenkov,Xavier Leoncini, Editor, Springer, London/Berlin , Zug, pp.79-109, 2017

  • Publication Type: Book Chapter / Chapter Research Book
  • Publication Date: 2017
  • Publisher: Springer, London/Berlin 
  • City: Zug
  • Page Numbers: pp.79-109
  • Editors: Dimitri Volchenkov,Xavier Leoncini, Editor
  • Middle East Technical University Affiliated: Yes


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.