Hierarchy of Chaotic maps with an invariant measure and their coupling

Details Hierarchy of Chaotic maps with an invariant measure and their coupling Hierarchy of Chaotic maps with an invariant measure and their coupling

2002-08-07

arxiv.org/abs/nlin/0208011v1

Nonlinear Sciences

Chaotic Dynamics

31 pages, Latex

Scientific paper

Hierarchy of one-parameter families of chaotic maps with an invariant measure have been introduced, where their appropriate coupling has lead to the generation of some coupled chaotic maps with an invariant measure. It is shown that these chaotic maps (also the coupled maps) do not undergo any period doubling or period-n-tupling cascade bifurcation to chaos, but they have either single fixed point attractor at certain values of the parameters or they are ergodic in the complementary region. Using the invariant measure or Sinai-Rulle-Bowen measure the Kolmogrov-Sinai entropy of the chaotic maps (coupled maps) have been calculated analytically, where the numerical simulations support the results

Affiliated with

Also associated with

No associations

Rating

Hierarchy of Chaotic maps with an invariant measure and their coupling 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 Hierarchy of Chaotic maps with an invariant measure and their coupling, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hierarchy of Chaotic maps with an invariant measure and their coupling will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-699606