Folded Bifurcation in Coupled Asymmetric Logistic Maps | Zendy

S. Midorikawa | Zendy; T. Kubo | Zendy; Taksu Cheon | Zendy

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Folded Bifurcation in Coupled Asymmetric Logistic Maps

Author(s) -

S. Midorikawa,

T. Kubo,

Taksu Cheon

Publication year - 1995

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.94.571

Subject(s) - pitchfork bifurcation , logistic map , physics , attractor , bifurcation , chaotic , period (music) , coupling (piping) , period doubling bifurcation , coupling strength , statistical physics , hopf bifurcation , mathematical analysis , pure mathematics , mathematical physics , nonlinear system , mathematics , quantum mechanics , condensed matter physics , artificial intelligence , computer science , mechanical engineering , acoustics , engineering

A system of coupled two logistic maps, one periodic and the other chaotic, isstudied. It is found that with the variation of the coupling strength, thesystem displays several curious features such as the appearance of quadruplingof period, occurrence of isolated period three attractor and the coexistence ofthe Hopf and pitchfork bifurcations. Possible applications and extensions arediscussed.Comment: 7 pages LaTeX file, 5 postscript figures, uuencode

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