Unstable dimension variability and synchronization of chaotic systems

Details Unstable dimension variability and synchronization of chaotic systems Unstable dimension variability and synchronization of chaotic systems

1999-11-19

arxiv.org/abs/chao-dyn/9911027v1

Nonlinear Sciences

Chaotic Dynamics

25 pages, 8 figures, RevTex format

Scientific paper

10.1103/PhysRevE.62.462

An aspect of the synchronization dynamics is investigated in this work. We argue analytically and confirm numerically that the chaotic dynamics on the synchronization manifold exhibits unstable dimension variability. Unstable dimension variability is a cause of severe modeling difficulty for physical phenomena, since trajectories obtained from the mathematical model may not be related to trajectories of the actual system. We present and example of unstable dimension variability occurring in a system of two coupled chaotic maps, considering the dynamics in the synchronization manifold and its corresponding transversal direction, where a tongue-like structure is formed. The unstable dimension variability is revealed in the statistical distribution of the finite-time transversal Lyapunov exponent, having both negative and positive values.

Affiliated with

Also associated with

No associations

Rating

Unstable dimension variability and synchronization of chaotic systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Unstable dimension variability and synchronization of chaotic systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Unstable dimension variability and synchronization of chaotic systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-413943