Global Period-Doubling Bifurcation in the Standard Map

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概要

• 論文の詳細を見る

• While there has been great effort to establish universal behavior of the sequence of period-doubling bifurcation in Hamiltonian systems with few degrees of freedom, the nature of the period-doubling bifurcation is far more complicated in two-dimensional maps. Though the onset of instability is determined by a local, linear property of the system, the area of a bifurcated region in the phase space increases gradually when the control parameter increases beyond the critical threshold. Scaling laws for the growth process of the period-doubling bifurcation are elucidated for the period-2 step-1 accelerator mode and for the fundamental fixed orbit in the standard map.

• 理論物理学刊行会の論文
• 2001-11-25

著者

• Hirose K

  National Institute For Fusion Science

• ICHIKAWA Yoshi

  College of Engineering, Chubu University

• MURAKAMI Chieko

  College of Engineering, Chubu University

• MURAKAMI Wakako

  College of Engineering, Chubu University

• HIROSE Kei-ichi

  National Institute for Fusion Science

• ICIHIKAWA Yoshi

  College of Engineering, Chubu University

• Murakami Wakako

  College Of Engineering Chubu University

• Murakami Chieko

  College Of Engineering Chubu University

• Icihikawa Yoshi

  College Of Engineering Chubu University

関連論文

• Anomalous Diffusion in the Kicked Harper System : Condensed Matter and Statistical Physics
• Global Period-Doubling Bifurcation in the Standard Map
• Symmetry Structure of the Period-Doubling Bifurcation of the Period-2, Step-1 Accelerator Mode in the Standard Map
• Higher Order Symmetry and Bifurcation of the Period-2 Step-1 Accelerator Mode in the Standard Map
• Period-3 Catastrophe and Enhanced Diffusion in Two-Dimensional Hamiltonian Systems : Complex Dynamics in Nonlinear Systems
• Coherent States and the korteweg-de Vries Equation for a System of Interacting Phonons
• Cusp Soliton of a New Integrable Nonlinear Evolution Equation

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