Dynamics of a map with power-law tail

Details Dynamics of a map with power-law tail Dynamics of a map with power-law tail

2008-12-24

arxiv.org/abs/0812.4551v5

V Botella-Soler et al 2009 J. Phys. A: Math. Theor. 42 385101 (22pp)

Nonlinear Sciences

Chaotic Dynamics

28 pages, 17 figures

Scientific paper

10.1088/1751-8113/42/38/385101

We analyze a one-dimensional piecewise continuous discrete model proposed originally in studies on population ecology. The map is composed of a linear part and a power-law decreasing piece, and has three parameters. The system presents both regular and chaotic behavior. We study numerically and, in part, analytically different bifurcation structures. Particularly interesting is the description of the abrupt transition order-to-chaos mediated by an attractor made of an infinite number of limit cycles with only a finite number of different periods. It is shown that the power-law piece in the map is at the origin of this type of bifurcation. The system exhibits interior crises and crisis-induced intermittency.

Affiliated with

Also associated with

No associations

Rating

Dynamics of a map with power-law tail 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 Dynamics of a map with power-law tail, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dynamics of a map with power-law tail will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-396293