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Doubling of torus. (English) Zbl 1200.37031

\`\` Doubling of torus” is found in three-or four-dimensional dissipative mappings. In these models, doubling occurs only a finite number of times before chaos appears. An explanation is attempted by a numerical study on the stability against perturbation of the direct product state of coupled logistic and torus maps.

MSC:

37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
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