From limit cycles to strange attractors
Dynamical Systems
2011-10-18 v1 Mathematical Physics
math.MP
Chaotic Dynamics
Abstract
We define a quantitative notion of shear for limit cycles of flows. We prove that strange attractors and SRB measures emerge when systems exhibiting limit cycles with sufficient shear are subjected to periodic pulsatile drives. The strange attractors possess a number of precisely-defined dynamical properties that together imply chaos that is both sustained in time and physically observable.
Cite
@article{arxiv.1004.0019,
title = {From limit cycles to strange attractors},
author = {William Ott and Mikko Stenlund},
journal= {arXiv preprint arXiv:1004.0019},
year = {2011}
}
Comments
27 pages