Analytical Expression for Low-Dimensional Resonance Islands in a 4-Dimensional Symplectic Map (Condensed Matter and Statistical Physics)
スポンサーリンク
概要
- 論文の詳細を見る
We study 2- and 4-dimensional nearly integrable symplectic maps using a singular perturbation method. Resonance island structures in the 2- and 4-dimensional maps are obtained. The validity of these perturbative results are confirmed numerically.
- 理論物理学刊行会の論文
- 2006-02-25
著者
-
GOTO Shin-itiro
Department of Applied Mathematics and Physics, Kyoto University
-
Goto Shin-itiro
Department Of Applied Mathematics And Physics Kyoto University
関連論文
- Renormalization Analysis of Resonance Structure in a 2-D Symplectic Map
- Random Wandering around Homoclinic-Like Manifolds in a Symplectic Map Chain
- Asymptotic Expansions of Unstable and Stable Manifolds in Time-Discrete Systems
- Regularized Renormalization Group Reduction of Symplectic Maps : General Physics
- Lie-Group Approach to Perturbative Renormalization Group Method
- Non-Universal Finite Size Effects with Universal Infinite-Size Free Energy for the α-XY Model(COMPLEXITY AND NONEXTENSIVITY:NEW TRENDS IN STATISTICAL MECHANICS)
- Analytical Expression for Low-Dimensional Resonance Islands in a 4-Dimensional Symplectic Map (Condensed Matter and Statistical Physics)
- Time average and canonical average of macroscopic variable in classical Hamiltonian system with long-range interaction(2) Equilibrium and nonequilibrium statistical mechanics in systems showing chaos and quantum chaos, Chaos and Nonlinear Dynamics in Quan
- Dynamics near Resonance Junctions in Hamiltonian Systems
- Renormalization Analysis of Resonance Structure in a 2-D Symplectic Map
- Asymptotic Expansions of Unstable and Stable Manifolds in Time-Discrete Systems