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Prog. Theor. Phys. Vol. 94 No. 4 (1995) pp. 571-575
Folded Bifurcation in Coupled Asymmetric Logistic Maps
Shoichi Midorikawa,
Takayuki Kubo* and
Taksu Cheon**
Faculty of Engineering, Aomori University, 2-3-1 Kobata, Aomori 030
*Institute for Nuclear Study, University of Tokyo, Tanashi 188
**Department of Physics, Hosei University, Fujimi 102
(Received March 20, 1995)
Abstract:
A system of two coupled logistic maps, one periodic and the other chaotic, is studied. It is found that with the variation of the coupling strength, the system displays several curious features such as the appearance of quadrupling of period, occurrence of isolated period three attractor and the coexistence of the Hopf and pitchfork bifurcations. Possible applications and extensions are discussed.
URL :
http://ptp.ipap.jp/link?PTP/94/571/
DOI : 10.1143/PTP.94.571
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