Riddling, bubbling, and Hopf bifurcation in coupled map systems.
In a simple coupled-map system, we show that the desynchronization of the chaotic attractor occurs through a series of Hopf bifurcations. As a result of the accumulation of these processes, the blowout bifurcation of this coupled map system is a new kind of Hopf bifurcation from a chaotic attractor. Riddling, bubbling, and characters of this particular manifestation of Hopf bifurcation from a chaotic attractor are studied in this paper.
Yang
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HL
Department of Physics, University of Potsdam, Am Neuen Palais, Postfach 601553, D-14415 Potsdam, Germany.
Pikovsky
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AS