Composition of Chaotic Maps with an Invariant Measure

Details Composition of Chaotic Maps with an Invariant Measure Composition of Chaotic Maps with an Invariant Measure

2000-05-04

arxiv.org/abs/nlin/0005009v1

Nonlinear Sciences

Chaotic Dynamics

20 Pages, 8 Figures

Scientific paper

We generate new hierarchy of many-parameter family of maps of the interval [0,1] with an invariant measure, by composition of the chaotic maps of reference [1]. Using the measure, we calculate Kolmogorov-Sinai entropy, or equivalently Lyapunov characteristic exponent, of these maps analytically, where the results thus obtained have been approved with numerical simulation. In contrary to the usual one-dimensional maps and similar to the maps of reference [1], these maps do not possess period doubling or period-n-tupling cascade bifurcation to chaos, but they have single fixed point attractor at certain region of parameters values, where they bifurcate directly to chaos without having period-n-tupling scenario exactly at these values of parameter whose Lyapunov characteristic exponent begins to be positive.

Affiliated with

Also associated with

No associations

Rating

Composition of Chaotic Maps with an Invariant Measure 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 Composition of Chaotic Maps with an Invariant Measure, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Composition of Chaotic Maps with an Invariant Measure will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-386300