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Tori breakdown in coupled map lattices. (English) Zbl 1044.37050

Summary: We present a numerical study of invariant tori in a lattice of coupled logistic maps. In particular, we are interested in bifurcations leading to chaos. Here, we consider six different examples of tori breakdown: two of them completely confirm the theory of Afraimovich and Shilnikov, while the others appear peculiar to the model.

MSC:

37L60 Lattice dynamics and infinite-dimensional dissipative dynamical systems
37G15 Bifurcations of limit cycles and periodic orbits in dynamical systems
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
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