Nonlinear Phenomena in Complex Systems, 2004, Vol.7, No.1, pp.69-77

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2004, Vol.7, No.1, pp.69-77

On the Criticality of the FQ-Type in the System of Coupled Maps with Period-Doubling
A.P. Kuznetsov, A.V. Savin, and S.Y. Kim

The critical behavior of the system of two coupled invertible maps with period-doubling was investigated. We obtain that the critical behavior of the FQ-type exists in the invertible systems only when partial systems are coupled in a special way: with dissipative coupling. The coordinates of the critical (FQ) point in the system of dissipatively coupled Hénon maps were found. The scaling in the parameter plane near the FQ-point was demonstrated.
Key words: critical behavior, chaos, coupled systemsn

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