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Article Dans Une Revue Journal of Technical Physics Année : 1996

Chaotic dynamics exhibited by two-dimensional maps

Jan Awrejcewicz
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Résumé

The Chossat-Golubitsky (C-G) and the TInkerbell (T) maps serve as examples to exhibit some aspects of chaotic dynamics and to give an explanation based mainly on numerical techniques applied. The C-G map exhibits periodic, chaotic and hyperchaotic dynamics and many different bifurcations, which are discussed and illustrated. On the basis of the consideration of the T map, a peculiar organization of unstable orbits, a role of their unstable manifolds and their relation to a fractal structure is discussed.
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Dates et versions

hal-00815350 , version 1 (18-04-2013)

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  • HAL Id : hal-00815350 , version 1

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Jan Awrejcewicz, Claude-Henri Lamarque. Chaotic dynamics exhibited by two-dimensional maps. Journal of Technical Physics, 1996, 37 (3-4), pp.277-280. ⟨hal-00815350⟩

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