Regularity and Stochasticity of Nonlinear Dynamical Systems

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.

• Solvability of Some Integro-Differential Equations with Anomalous Diffusion.- Poincare Recurrences in Ergodic Systems Without Mixing.- Success, Hierarchy, and Inequality under Uncertainty.- Grazing in Impulsive Differential Equations.- On Local Topological Classification 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.