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- Title
CHAOTIC FEATURE OF MARTIN PROCESS IMPOSED ON THE COSINE FUNCTION.
- Authors
GAO, CHUANHOU; ZHOU, ZHIMIN; ZENG, JIUSUN; CHEN, JIMING
- Abstract
By analyzing the phase diagram of Martin process on the cosine function, it is shown that with the change of system parameters the system will eventually converge to a chaotic attractor. The process is repeated and stable focus, period doubling bifurcation occurs during this process. Further computation gives the maximum Lyapunov exponent of the system and meanwhile, the bifurcation diagram is drawn. Thus it is proved from theory that the system exhibits strong chaotic properties.
- Subjects
COSINE function; CHAOS theory; PHASE diagrams; PARAMETER estimation; LYAPUNOV exponents; BIFURCATION theory; ATTRACTORS (Mathematics)
- Publication
Fractals, 2009, Vol 17, Issue 2, p191
- ISSN
0218-348X
- Publication type
Article
- DOI
10.1142/S0218348X09004375