Frequency entrainment of a phase coherent attractor

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Abstract

In this paper the frequency entrainment of the Rössler system to a periodic pulse is discussed. It was found that a periodic orbit will entrain to weak periodic pulses with frequency near the natural frequency of oscillation, but rather more surprisingly, the phase coherent strange attractor can also be entrained, on average, to small pulses near the peak frequency in the broad band power spectra of the attractor.

Original languageEnglish
Pages (from-to)367-374
Number of pages8
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume163
Issue number5-6
DOIs
StatePublished - Mar 30 1992

Funding

I would like to thank Norman Packard, Doyne Farmer, Jim Crutchfield and Bruce McNamara for suggestions and discussions. A special thanks to Rob Shaw for consulting and computing time and to Ralph Abraham who supplied the original idea. This work was partially supported by the U.S. Air Force Office of Scientific Research under Grant No. ISSA-84-00017 and The United Kingdom Science and Research Council.

Funder number
ISSA-84-00017

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