From limit cycles to strange attractors

Details From limit cycles to strange attractors From limit cycles to strange attractors

2010-03-31

arxiv.org/abs/1004.0019v1

Commun. Math. Phys. 296, 215-249 (2010)

Mathematics

Dynamical Systems

27 pages

Scientific paper

10.1007/s00220-010-0994-y

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.

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