Maintenance and Suppression of Chaos by Weak Harmonic Perturbations: A Unified View
Physical Review LettersPublished 26 February 2001
Ricardo Chacón
Citations64
SJR quartileQ1
SJR score2.86
SNIP2.41
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TL;DR
It is demonstrated that, in general, a second harmonic perturbation can reliably play an enhancer or inhibitor role by solely adjusting its initial phase, and general theoretical findings concerning periodic chaos- inducing perturbations also work for aperiodic chaos-inducing perturations, and in arrays of identical chaotic coupled oscillators.
Abstract
General results concerning maintenance or enhancement of chaos are presented for dissipative systems subjected to two harmonic perturbations (one chaos inducing and the other chaos enhancing). The connection with previous results on chaos suppression is also discussed in a general setting. It is demonstrated that, in general, a second harmonic perturbation can reliably play an enhancer or inhibitor role by solely adjusting its initial phase. Numerical results indicate that general theoretical findings concerning periodic chaos-inducing perturbations also work for aperiodic chaos-inducing perturbations, and in arrays of identical chaotic coupled oscillators.
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