Multiple Attractor Bifurcations: A Source of Unpredictability in Piecewise Smooth Systems

Details Multiple Attractor Bifurcations: A Source of Unpredictability in Piecewise Smooth Systems Multiple Attractor Bifurcations: A Source of Unpredictability in Piecewise Smooth Systems

1999-04-09

arxiv.org/abs/chao-dyn/9904017v1

Nonlinear Sciences

Chaotic Dynamics

4 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.83.4281

There exists a variety of physically interesting situations described by continuous maps that are nondifferentiable on some surface in phase space. Such systems exhibit novel types of bifurcations in which multiple coexisting attractors can be created simultaneously. The striking feature of these bifurcations is that they lead to fundamentally unpredictable behavior of orbits as a system parameter is varied slowly through its bifurcation value. This unpredictability gradually disappears as the speed of variation of the system parameter through the bifurcation is reduced to zero.

Affiliated with

Also associated with

No associations

Rating

Multiple Attractor Bifurcations: A Source of Unpredictability in Piecewise Smooth 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 Multiple Attractor Bifurcations: A Source of Unpredictability in Piecewise Smooth Systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Multiple Attractor Bifurcations: A Source of Unpredictability in Piecewise Smooth Systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-714282