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.