Break-Up of Three-Frequency KAM Tori: Determination of the Critical Parameters

周济林; 孙义燧; 胡斑比

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Break-Up of Three-Frequency KAM Tori: Determination of the Critical Parameters

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With a four-dimensional symplectic map we study numerically the break-up of three-frequency KolmogorovArnold-Moser (KAM) tori. The locations and stabilities of a sequence of periodic orbits, whose winding numbersapproach the irrational winding number of the KAM torus, are examined. The break-up of quadratic frequencytori is characterized as the exponential growth of the residue means of the convergent periodic orbits. Criticalparameters of the break-up of tori with different winding numbers are calculated, which show that the spiralmean torus is the most robust one in our model

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《中国物理快报：英文版》 |2001年第6期|734-736|共3页
作者
周济林; 孙义燧; 胡斑比;
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Department of Astronomy and Centre of Astronomy and Astrophysics in Eastern China, Nanjing University, Nanjing 210093;

Department of Astronomy and Centre of Astronomy and Astrophysics in Eastern China, Nanjing University, Nanjing 210093;

Department of Physics and Centre for Nonlinear Studies, Hong Kong Baptist University, Hong Kong;

Department of Physics, University of Houston, Houston TX 77204, USA;

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中图分类物理学;
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Break-Up of Three-Frequency KAM Tori: Determination of the Critical Parameters

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