Analysis of unsymmetrically coupled set of three logistic maps

Badola, Parkash ; Kulkarni, B. D. (1991) Analysis of unsymmetrically coupled set of three logistic maps Chemical Physics Letters, 184 (5-6). pp. 531-536. ISSN 0009-2614

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/000926...

Related URL: http://dx.doi.org/10.1016/0009-2614(91)80030-2

Abstract

Nonlinear difference equations describing three unsymmetrically coupled logistic maps are analyzed to show existence of multiple basins of attractors and a transition 4P→2P→4P that proceeds to chaos via period-doubling bifurcations. The effects of initial conditions demarcating the basins of attractors are analyzed and show a certain type of symmetry for this unsymmetrically coupled case.

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