Universal scaling laws of chaotic escape in dissipative multistable systems subjected to autoresonant excitations

Details Universal scaling laws of chaotic escape in dissipative multistable systems subjected to autoresonant excitations Universal scaling laws of chaotic escape in dissipative multistable systems subjected to autoresonant excitations

2009-06-04

arxiv.org/abs/0906.0873v1

Nonlinear Sciences

Chaotic Dynamics

4 pages, 5 figures

Scientific paper

A theory concerning the emergence and control of chaotic escape from a potential well by means of autoresonant excitations is presented in the context of generic, dissipative, and multistable systems. Universal scaling laws relating both the onset and lifetime of transient chaos with the parameters of autoresonant excitations are derived theoretically using vibrational mechanics, Melnikov analysis, and energy-based autoresonance theory. Numerical experiments show that these scaling laws are robust against both the presence of noise and re-shaping.

Affiliated with

Also associated with

No associations

Rating

Universal scaling laws of chaotic escape in dissipative multistable systems subjected to autoresonant excitations 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 Universal scaling laws of chaotic escape in dissipative multistable systems subjected to autoresonant excitations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Universal scaling laws of chaotic escape in dissipative multistable systems subjected to autoresonant excitations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-494519