Analytical Study of the Julia Set of a Coupled Generalized Logistic Map

Details Analytical Study of the Julia Set of a Coupled Generalized Logistic Map Analytical Study of the Julia Set of a Coupled Generalized Logistic Map

1998-05-02

arxiv.org/abs/solv-int/9805001v2

Nonlinear Sciences

Exactly Solvable and Integrable Systems

30pages, 22figures

Scientific paper

10.1143/JPSJ.68.1513

A coupled system of two generalized logistic maps is studied. In particular influence of the coupling to the behaviour of the Julia set in two dimensional complex space is analyzed both analytically and numerically. It is proved analytically that the Julia set disappears from the complex plane uniformly as a parameter interpolates from the chaotic phase to the integrable phase, if the coupling strength satisfies a certain condition.

Affiliated with

Also associated with

No associations

Rating

Analytical Study of the Julia Set of a Coupled Generalized Logistic Map 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 Analytical Study of the Julia Set of a Coupled Generalized Logistic Map, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Analytical Study of the Julia Set of a Coupled Generalized Logistic Map will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-178614