We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
TAMING CHAOTIC ARRAYS BY PARAMETRIC EXCITATION WITH PROPER RANDOM PHASE.
- Authors
Yung, Kai Leung; Lei, Youming; Xu, Yan
- Abstract
A weak harmonic parametric excitation with random phase has been introduced to tame chaotic arrays. It has been shown that when the amplitude of random phase properly increases, two different kinds of chaotic arrays, unsynchronized and synchronized, can be controlled by the criterion of top Lyapunov exponent. The Lyapunov exponent was computed based on Khasminskii's formulation and the extension of Wedig's algorithm for linear stochastic systems. In particular, it was found that with stronger coupling the synchronized chaotic arrays are more controllable than the unsynchronized ones. The bifurcation analysis, the spatiotemporal evolution, and the Poincaré map were carried out to confirm the results of the top Lyapunov exponent on the dynamical behavior of control stability. Excellent agreement was found between these results.
- Subjects
CHAOS theory; LYAPUNOV exponents; ALGORITHMS; LINEAR systems; STOCHASTIC systems; BIFURCATION theory; POINCARE maps (Mathematics); RANDOM noise theory
- Publication
International Journal of Modern Physics C: Computational Physics & Physical Computation, 2009, Vol 20, Issue 10, p1633
- ISSN
0129-1831
- Publication type
Article
- DOI
10.1142/S0129183109014643