Locally Intertwined Basins and Intertwining Crisis

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概要

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• We consider a type of system that has a smooth invariant sub-manifold N in which a chaotic attractor A exists and for which more than one attractor exists in the full phase space. In this case, basins of all or some of attractors distinct from A can be locally intertwined in the neighborhood of A's basin, which is restricted to N, not only for the region L_⊥<0 but also for the region L_⊥>0 of parameters, where L_⊥ is the normal Lyapunov exponent on the attractor A. An example of this case in 3-dimensional maps is considered. Further, a new type of crisis-intertwining crisis-of a chaotic attractor whose basin is locally intertwined is discussed and illustrated.

• 理論物理学刊行会の論文
• 2000-03-25

著者

• Hayama S

  Rakuyo Technical High School

• Hayama Satoshi

  Rakuyo Technical High School

関連論文

• Locally Intertwined Basins and Intertwining Crisis
• Riddling Crisis : A New Qualitative Change in Chaotic Dynamics under Basin Riddling : Condensed Matter and Statistical Physics

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