New Riddling Bifurcation in Asymmetric Dynamical Systems

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概要

• 論文の詳細を見る

• We investigate the bifurcation mechanism for the loss of transverse stability of the chaotic attractor in an invariant subspace in an asymmetric dynamical system. It is found that a direct transition to global riddling occurs through a transcritical contact bifurcation between a periodic saddle embedded in the chaotic attractor on the invariant subspace and a repeller on its basin boundary. This new bifurcation mechanism differs from that in symmetric dynamical systems. After such a riddling bifurcation, the basin becomes globally riddled with a dense set of repelling tongues leading to divergent orbits. This riddled basin is also characterized by divergence and uncertainty exponents, and typical power-law scaling is found.

• 理論物理学刊行会の論文
• 2001-02-25

著者

• Kim Sang-yoon

  Department Of Physics Kangwon National University:department Of Physics University Of Wisconsin-milw

• KIM YoungTae

  Department of Conservative Dentistry, College of Dentistry, Seoul National University

• Kim Youngtae

  Department Of Physics Ajou University

• Kim Youngtae

  Department Of Conservative Dentistry College Of Dentistry Seoul National University

• LIM Woochang

  Department of Physics, Kangwon National University

• Lim Woochang

  Department Of Physics Kangwon National University

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• New Riddling Bifurcation in Asymmetric Dynamical Systems

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