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A Fat strange Repeller
Authors:Shen Ying  He Yue
Affiliation:Institute of Plasma Physics,Chinese Academy of Sciences,Hefei 230031,China;College of Physics Science and Technology,Yangzhou University,Yangzhou 225002,China;College of Physics Science and Technology,Yangzhou University,Yangzhou 225002,China
Abstract:This article reports an observation on a fat strange repeller, which appears after a characteristic crisis observed in a kicked rotor subjected to a piecewise continuous force field. The discontinuity border in the definition range of the two-dimensional mapping, which describes the system, oscillates as the discrete time develops. At a threshold of a control parameter a fat chaotic attractor suddenly transfers to a fat transient set. The strange repeller, which appears after the crisis, is also a fat fractal. This is the reason why super-transience happens
Keywords:crisis  fat fractal  strange repeller
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