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Journal article

Transverse instability and riddled basins in a system of two coupled logistic maps

By Maistrenko, Yu.L.1; Maistrenko, V.L.1; Popovich, A.1; Mosekilde, Erik2,3

From

National Academy of Sciences of Ukraine1

Biophysics and Fluids, Department of Physics, Technical University of Denmark2

Department of Physics, Technical University of Denmark3

The paper examines the conditions for the appearance of riddled basins of attraction for a system of two symmetrically coupled logistic maps. We determine the regions in parameter space where the transverse Lyapunov exponent is negative and obtain the bifurcation curves for the transverse destabilization of low-periodic orbits embedded in the synchronized chaotic state.

The changes in the attractor and its basin of attraction when scanning accross the riddling and blowout bifurcations are explained.

Language: English
Year: 1998
Pages: 2713-2724
ISSN: 10953787 , 1063651x , 24700053 and 24700045
Types: Journal article
DOI: 10.1103/PhysRevE.57.2713
Keywords

BIFURCATION CHAOTIC ATTRACTORS DYNAMICAL-SYSTEMS INTERMITTENCY OSCILLATOR SYSTEMS PERIODIC-ORBITS SADDLE STABILITY THEORY SYNCHRONIZED MOTION

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