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Suppression of chaos through changes in the system variables: transient chaos and crises

✍ Scribed by J. Güémez; J.M. Gutiérrez; A. Iglesias; M.A. Matías

Publisher: Elsevier Science
Year: 1994
Tongue: English
Weight: 739 KB
Volume: 79
Category: Article
ISSN: 0167-2789
DOI: 10.1016/s0167-2789(05)80004-1

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✦ Synopsis

In this work a recently introduced chaos suppression method [M. A. Matfas and J. G[idmez, Phys. Rev. Lett. 72 (1994) 1455-8] is applied to the two-dimensional maps due to H6non and Holmes, respectively, at parameter values for which the system exhibits a non-attracting chaotic set. First of all, it is shown how within a periodic window it is possible to stabilize periodic behaviour with a different periodicity. In addition, for systems that have suffered a crisis it is shown how a chaotic transient can be converted into a strange attractor, namely by switching back to the precrisis behaviour.

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