Non-Symmetric Periodic Points in Reversible Maps : Examples from the Standard Map(Condensed Matter and Statistical Physics)
スポンサーリンク
概要
- 論文の詳細を見る
The existence of non-symmetric non-Birkhoff periodic points and non-symmetric periodic points of the accelerator mode in standard-like maps is proved. Positions of these points are approximately determined for large parameter values. The number of such points is shown to diverge as the parameter value goes to infinity. We have found two routes for the appearance of non-symmetric periodic points. One is the equi-period bifurcation of a symmetric periodic point and the other is simultaneous saddle-node bifurcations. These two bifurcations seem to disprove the necessity of 'hidden symmetry' introduced by Murakami et al. (2001). We do not know whether or not these are the only routes for the appearance of these points. Numerical examples are considered for the standard map.
- 理論物理学刊行会の論文
- 2002-12-25
著者
-
Tanikawa Kiyotaka
National Astrunomical Observatory
-
Tanikawa Kiyotaka
National Astronomical Obseruatory
-
YAMAGUGHI Yoshihiro
Teikyo Heisei University
-
Yamaguchi Yoshihiro
Teikyo Heisei Univ. Chiba Jpn
-
Yamaguchi Yoshihiro
Laboratory of Applied Microbiology, Department of Microbial Biotechnology, Graduate School of Agricultural Science, Tohoku University
-
YAMAGUCHI Yoshihiro
Department of Physics, Science University of Tokyo
関連論文
- A New Interpretation of the Symbolic Codes for the Henon Map(General and Mathematical Physics)
- Solar Eclipses in the First Half of the Chunqiu Period
- Dynamical Ordering of Periodic Accelerator Modes in the Standard Mapping(Condensed Matter and Statistical Physics)
- Generalized Dynamical Ordering and Topological Entropy in the Henon Map(Condensed Matter and Statistical Physics)
- A New Set of Variables in the Three-Body Problem
- Dependence of Hydrolysis of β-Lactams with a Zinc(II)-β-Lactamase Produced from Sermtia marcescens (IMP-1) on pH and Concentration of Zinc(II) Ion : Dissociation of Zn(II) from IMP-1 in Acidic Medium
- Anti-rice Blast Activity and Resistance Induction of C-18 Oxygenated Fatty Acids
- Oxygenated Fatty Acids with Anti-rice Blast Fungus Activity in Rice Plants
- Topological Entropy in a Forced Duffing System(Condensed Matter and Statistical Physics)
- Non-Birkhoff Periodic Orbits in a Circle Map
- Dynamical Ordering of Non-Birkhoff Orbits and Topological Entropy in the Standard Mapping
- Increase of Topological Entropy until the Three-Fold Horseshoe is Completed(Condensed Matter and Statistical Physics)
- A New Interpretation of the Symbolic Codes for the Henon Map. II(General and Mathematical Physics)
- Occurrence of Agmatine Pathway for Putrescine Synthesis in Selenomonas ruminatium
- Identification of a 22-kDa Protein Required for the Degradation of Selenomonas ruminantium Lysine Decarboxylase by ATP-dependent Protease(Biochemistry & Molecular Biology)
- Structural Elucidation of Naturally Occurring 9,12,13-Trihydroxy Fatty Acids by a Synthetic Study(Organic Chemistry)
- Generalized Horseshoes in the Standard Mapping(Condensed Matter and Statistical Physics)
- Units of Time in Ancient China and Japan
- A Solar Eclipse Versified in the Shijing
- ΔT and the Tidal Acceleration of the Lunar Motion from Eclipses Observed at Plural Sites
- Dynamical Ordering of Symmetric Periodic Orbits for the Area Preserving Henon Map(Condensed Matter and Statistical Physics)
- Order of Appearance of Homoclinic Points for the Henon Map(Condensed Matter and Statistical Physics)
- Kinetic Equation Approach to Phase Transitions in Tunnel-Injected Superconductor. I : Homogeneous Case
- Stability of Terrestrial Protoplanet Systems and Alignment of Orbital Elements
- Improvement of the Triple-Encounter Criterion
- Dynamical Ordering of Non-Birkhoff Periodic Orbits in a Forced Pendulum
- A Condition for the Existence of Homoclinic Intersection in C^2 Standard-Like Mappings
- Topological Entropy in a Forced Duffing System
- A Remark on the Smoothness of Critical KAM Curves in the Standard Mapping : Condensed Matter and Statistical Physics
- Running Homoclinic and Periodic Points in Standard-Like Mappings
- Non-Symmetric Periodic Points in Reversible Maps : Examples from the Standard Map(Condensed Matter and Statistical Physics)
- Symmetric Periodic Orbits and Topological Entropy in the Two-Dimensional Cubic Map(Condensed Matter and Statistical Physics)
- Periodic Orbits in the Quadruply Reversible Non-Twist Harper Map
- Symmetrical Non-Birkhoff Period-3 Orbits in Standard-Like Mappings
- Oscillatory Orbits in the Standard Mapping (Condensed Matter and Statistical Physics)
- Non-Symmetric Non-Birkhoff Period-2 Orbits in the Standard Mapping
- Non-Birkhoff Orbits with 2n Turning Points in the Standard Map
- Topological Entropy in a Parameter Range of the Standard Map(General and Mathematical Physics)
- On Mather's Connecting Orbits in Standard Mapping(Condensed Matter and Statistical Physics)
- Non-Birkhoff Periodic Orbits of Farey Type and Dynamical Ordering in the Standard Mapping. II(Condensed Matter and Statistical Physics)
- Birkhoff Periodic Orbits in the Standard-Like Maps
- On the Totality of the Eclipse in AD 628 in the Nihongi
- Forcing Relations for Homoclinic Orbits of the Reversible Horseshoe Map(General and Mathematical Physics)
- Renormalization Group Approach to Universal Metric Properties of Whisker Mapping : Condensed Matter and Statistical Physics
- Subsystems in a Stable Planetary System
- On the Symmetric Collinear Four-Body Problem
- Non-Birkhoff Periodic Orbits of Farey Type and Dynamical Ordering in the Standard Mapping(Condensed Matter and Statistical Physics)
- Nonsymmetric Saddle-Node Pairs for the Reversible Smale Horseshoe Map(General and Mathematical Physics)
- Chaotic Behavior of Magnetization in Superfluid ^3He Driven by External Periodic Field
- Non-Birkhoff Orbits with 2n Turning Points in the Standard Map
- New Period-Doubling and Equiperiod Bifurcations of the Reversible Area-Preserving Map(General and Mathematical Physics)
- Nonsymmetric Saddle-Node Pairs for the Reversible Smale Horseshoe Map
- On the Error Reduction of a Simple Symplectic Integrator
- Generalized Horseshoes in the Standard Mapping(Condensed Matter and Statistical Physics)