NON-ALGEBRAIC ATTRACTORS ON P~k

Feng Rong

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NON-ALGEBRAIC ATTRACTORS ON P~k

机译：P〜k上的非代数吸引子

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摘要

We show that special perturbations of a particular holomorphic map on P~k give us examples of maps that possess chaotic non-algebraic at-tractors. Furthermore, we study the dynamics of the maps on the attractors. In particular, we construct invariant hyperbolic measures supported on the attractors with nice dynamical properties.

机译：我们证明了在P〜k上特定全纯图的特殊扰动为我们提供了具有混沌非代数吸引子的图的示例。此外，我们研究了吸引子上的地图动力学。特别是，我们构造了具有良好动力学特性的吸引子所支持的不变双曲度量。

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来源
《Discrete and continuous dynamical systems》 |2012年第3期|p.977-989|共13页
作者
Feng Rong;
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作者单位

Department of Mathematics Shanghai Jiao Tong University 800 Dong Chuan Road Shanghai, 200240, China;

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原文格式 PDF
正文语种 eng
中图分类
关键词
attractors; hyperbolic measures;

机译：吸引子双曲线测量;

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NON-ALGEBRAIC ATTRACTORS ON P~k

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