January  2014, 34(1): i-iii. doi: 10.3934/dcds.2014.34.1i

Preface

1. 

Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620

Published  June 2013

The theory of infinite dimensional and stochastic dynamical systems is a rapidly expanding and vibrant field of mathematics. In the recent three decades it has been highlighted as a core knowledge and an advancing thrust in the qualitative study of complex systems and processes described by evolutionary partial differential equations in many different settings, stochastic differential equations, functional differential equations and lattice differential equations. The central research topics include the invariant and attracting sets, stability and bifurcation of patterns and waves, asymptotic theory of dissipative systems and reduction of dimensions, and more and more problems of nonlocal systems, ill-posed systems, multicomponent and network dynamics, random dynamics and chaotic dynamics.

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Citation: Yuncheng You. Preface. Discrete and Continuous Dynamical Systems, 2014, 34 (1) : i-iii. doi: 10.3934/dcds.2014.34.1i
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