Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 17, Issue 2, Pages 992-1002Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cnsns.2011.07.014
Keywords
Generalized synchronization manifold; Discrete dynamical system; Lipschitz smoothness; Holder continuity
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Funding
- National Natural Science Foundation of China [11002061]
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Based on the modified system approach the generalized synchronization (GS) in two bidirectionally coupled discrete dynamical systems is classified into several types, and under some conditions, the existence, Lipschitz smoothness and Holder continuity of two kinds of GS therein are derived and theoretically proved. In addition, numerical simulations validate the present theory. (C) 2011 Elsevier B.V. All rights reserved.
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