Prog. Theor. Phys. Vol. 101 No. 3 (1999) pp. 519-539

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Riddling Crisis

— A New Qualitative Change in Chaotic Dynamics
under Basin Riddling —

Satoshi Hayama

Rakuyo Technical High School, Kyoto 601-8467, Japan

(Received December 3, 1997)

Abstract:

A new qualitative change in chaotic dynamics caused by a collision of a chaotic attractor with the region in which points of a riddled basin of another attractor exist is illustrated and discussed. Such a change in chaotic dynamics is called a riddling crisis. In this case, as a parameter is varied, the destruction of the chaotic attractor occurs quite gradually, and we can observe chaotic transients for a sufficient number of iterations in a quite wide range of the control parameter. Furthermore, windows of periodic attractors appear many times after this change occurs.

URL : http://ptp.ipap.jp/link?PTP/101/519/
DOI : 10.1143/PTP.101.519

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Citing Article(s) :

Progress of Theoretical Physics Vol. 103 No. 3 (2000) pp. 489-495 :
Locally Intertwined Basins and Intertwining Crisis

Satoshi Hayama

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