Controlling crisis-induced intermittency using its relation with a boundary crisis

Details Controlling crisis-induced intermittency using its relation with a boundary crisis Controlling crisis-induced intermittency using its relation with a boundary crisis

Feb 2009

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009njph...11b3025z&link_type=abstract

New Journal of Physics, Volume 11, Issue 2, pp. 023025 (2009).

Physics

1

Scientific paper

In this paper, we show that there is a simple and intuitive relation between crisis-induced intermittency and a boundary crisis in unimodal maps and in a family of chaotic flows with strong volume contraction. This point of view allows us to identify a set of 'target points' directly from the time series of the considered system that can be used to tame crisis-induced intermittency. To do this, we use an advantageous adaptation of a control scheme that was typically used in the context of control of transient chaos. We illustrate here these ideas with the quadratic map and Rössler flow.

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