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.
Solvability of Some Integro-Dierential Equations with Anomalous
Diusion.- Poincare Recurrences in Ergodic Systems Without Mixing.- Success,
Hierarchy, and Inequality under Uncertainty.- Grazing in Impulsive
Differential Equations.- On Local Topological Classication of
Two-dimensional Orientable, Nonorientable and Half-orientable Horseshoes.-
From Chaos to Order in a Ring of Coupled Oscillator Swith Frequency
Mismatch.- Dynamics of some nonlinear meromorphic functions.- Dynamics of
oscillatory networks with pulse delayed coupling.- Bifurcation trees of
period-3 motions to chaos in a time-delayed Duffing Oscillator.- Travelable
Period-1 Motions to Chaos in a Periodically Excited Pendulum.- Automorphic
systems and differential-invariant solutions.
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.
