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Symmetry and Self-Similarity with Coupled Logistic Maps

Symmetry and Self-Similarity with Coupled Logistic Maps

The symmetric coupling of two one-dimensional logistic maps displays different types of symmetric and asymmetric attractors on its route to chaos. Coexisting attractors possess basins in the phase space with Julia-like boundaries. Even classical fractal boundaries occur, when the basins of the coupled map with complex variables are explored. The …