Cascade of Attractor-Merging Crises to the Critical Golden Torus and Universal Expansion-Rate Spectra
スポンサーリンク
概要
- 論文の詳細を見る
Two chaotic attractors with rotation numbers ρ_m=F_<m-1>/F_m, F_m being the m-th Fibonacci number, and ρ_<m+1> just before their attractor-merging crisis converge to the critical golden torus as m→∞. A critical scaling is shown to hold for those chaotic attractors for large m, leading to a universal spectrum of the local expansion rares of nearby orbits.
- 理論物理学刊行会の論文
- 1990-10-25
著者
-
HORITA Takehiko
Department of Mathematical Sciences, Osaka Prefecture University
-
森 肇
九大
-
MORI Hazime
Faculty of Engineering, Kyushu Kyoritsu University
-
HATA Hiroki
Department of Physics, Kyushu University
-
Hata Hiroki
Department Of Pathology Tohoku University Hospital
-
Hata H
Kagoshima Univ. Kagoshima
-
Horita Takehiko
Department Of Physics Kyushu University
-
Horita Takehiko
Department Of Control Engineering And Science Kyushu Institute Of Technology
-
Horita Takehiko
Department Of Mathematical Engineering And Information Physics The University Of Tokyo
-
HORITA Takehiro
Departemtn of Physics Kyushu University
-
Hata Hiroki
Department Of Clinical Pharmacy Oita University Hospital
-
Mori Hazime
Faculty Of Engineering Kyushu Kyoritsu University
-
HATA Hiroki
Department of Physics, Kagoshima University
-
HORITA Takehiko
Department of Physics Kyushu Universuty
-
Mori Hazime
Faculty of Economics,Kyushu Kyoritsu University
関連論文
- Various Synchronization Phenomena in Discrete-Time Coupled Chaotic Rotors(General and Mathematical Physics)
- 23aEL-10 Duffing振動子系の時間相関関数の初期レジームと終期レジーム(23aEL その他の力学系,領域11(統計力学,物性基礎論,応用数学,力学,流体物理))
- Energy Dissipation and Its Fluctuations in Chaotic Dynamical Systems
- 間欠性カオスに於ける位相の跳びとその特性関数について(カオスとその周辺,研究会報告)
- 25p-H-9 S字型J-V特性系におけるカオス
- 25a-H-1 タイプI間欠性カオスの振幅変調と位相の跳び
- 26pQD-3 Duffing振動子系の時間相関関数の2つの減衰形(その他の力学系,領域11,統計力学,物性基礎論,応用数学,力学,流体物理)
- 26aQD-1 Henon-Heiles系の時間相関の減衰形の2つのタイプ(保存力学系・力学系とそのモデル,領域11,統計力学,物性基礎論,応用数学,力学,流体物理)
- 29pTK-5 Duffing振動子系の時間相関関数の2重構造(29pTK その他の力学系,領域11(統計力学,物性基礎論,応用数学,力学,流体物理))
- 23pTP-2 Duffing振動子系のパワースペクトルの構造と記憶関数(力学系,領域11,統計力学,物性基礎論,応用数学,力学,流体物理)
- 19aWB-1 Duffing振動子系の記憶関数と記憶関数スペクトルの構造(保存系,領域11,統計力学,物性基礎論,応用数学,力学,流体物理)
- 24aXG-7 Duffing系における記憶関数とカオス摩擦係数の解析VI(24aXG 力学系(結合写像系,その他),領域11(統計力学,物性基礎論,応用数学,力学,流体物理))
- 24aXG-6 レスラー系カオスのランダム化構造(24aXG 力学系(結合写像系,その他),領域11(統計力学,物性基礎論,応用数学,力学,流体物理))
- 27pXE-8 Duffing系における記憶関数とカオス摩擦係数の解析V(27pXE 力学系(保存系),領域11(統計力学,物性基礎論,応用数学,力学,流体物理))
- 22pXE-1 ヘノン-ハイレス系における時間相関関数とパワースペクトルの構造(力学系(保存系),領域11(統計力学,物性基礎論,応用数学,力学,流体物理))
- 22aPS-26 Duffing系における記憶関数とカオス摩擦係数の解析IV(領域11ポスターセッション,領域11(統計力学,物性基礎論,応用数学,力学,流体物理))
- 27pYC-4 保存力学系における時間相関とパワースペクトル(力学系(保存系)・回転と波動,領域11(統計力学,物性基礎論,応用数学,力学,流体物理))
- 27aPS-27 Duffing系における記憶関数と力オス摩擦係数の解析III(領域11,領域12合同ポスターセッション,領域11(統計力学,物性基礎論,応用数学,力学,流体物理))
- 30aWD-5 ヘノン-ハイレス系の記憶関数と摩擦係数II(低自由度カオス,保存力学系)(領域11)
- 27p-BPS-39 保存加熱写像の諸性質
- 保存系でのカオスとトーラスの共存と局所的ゆらぎのスケーリング(カオスとその周辺,研究会報告)
- 標準写像における加速モードによる異常拡散(カオスとその周辺,研究会報告)
- 24a-H-1 保存加熱写像における加速モードによる異常拡散
- 23aWH-10 強制振動子におけるパワースペクトルと輸送係数
- q-Phase Transitions in Chaotic Attractors of Differential Equations at Bifurcation Points : General and Mathematical Physics
- Local Structures of Chaotic Attractors and q-Phase Transitions at Attractor-Merging Crises in the Sine-Circle Maps: General and Mathematical Physics
- Memory Spectra and Lorentzian Power Spectra of the Chaotic Duffing Oscillator(General and Mathematical Physics)
- The Memory Function and Chaos-Induced Friction in the Chaotic Henon-Heiles System(Condensed Matter and Statistical Physics)
- Turbulent Transport in Benard Convection(Condensed Matter and Statistical Physics)
- Memory Function Approach to Chaos and Turbulence and the Continued Fraction Expansion (Condensed Matter and Statistical Physics)
- Time Correlations and Power Spectra of the Duffing Equation
- Randomization and Memory Functions of Chaos and Turbulence
- Time Correlations and Diffusion of a Conservative Forced Pendulum
- Time Correlations and Diffusion of a Conservative Forced Pendulum
- 統計力学における輸送係数の意味
- 29p-YK-1 力学系における秩序とカオス
- Anomalous Diffusion and Mixing of Chaotic Orbits in Hamiltonian Dynamical Systems : General and Mathematical Physics
- Anomalous Diffusion and Mixing in an Oscillating Rayleigh-Benard Flow : General and Mathematical Physics
- Crossover of the f(α) Spectra between Critical and Chaotic Regime, and Universal Critical Scaling Laws for Two-Dimensional Fractality : General and Mathematical Physics
- Anomalous Diffusion Due to Accelerator Modes in the Standard Map : General and Mathematical Physics
- ハミルトン系のカオスの拡大率スペクトル(カオスとその周辺,研究会報告)
- 24a-H-2 保存系カオスにおけるKAMトーラスの影響
- Rayleigh-Benard対流におけるHamiltonカオス、特にそのaccelator modeについて(カオスとその周辺,研究会報告)
- 25a-H-2 周期的振動下での間欠性カオスの示す挙動
- Statistical Mechanics of Dynamical Systems : Complex Dynamics in Nonlinear Systems
- The q-Phase Transition and Critical Scaling Laws near the Band-Crisis Point of Chaotic Attractors : General and Mathematical Physics
- Critical Scaling Laws of Dynamic Structure Functions for Type I Intermittent Chaos
- Scaling Structures and Statistical Mechanics of Type I Intermittent Chaos : General and Mathematical Physics
- q-Phase Transitions and Critical Phenomena just after Band Crises
- Advective Diffusion of Particles in Rayleigh-Benard Convection
- Stochastic Model of Chaotic Phase Synchronization. II(Condensed Matter and Statistical Physics)
- Stochastic Model of Chaotic Phase Synchronization. I(Condensed Matter and Statistical Physics)
- Stochastic Landau-Lifshitz-Gilbert Equation with Delayed Feedback Field(Condensed Matter Physics)
- Anomalous Diffusion Induced by External Force in the Standard Map : Condensed Matter and Statistical Physics
- Stochastic Resonance in the Hodgkin-Huxley Network
- Cascade of Attractor-Merging Crises to the Critical Golden Torus and Universal Expansion-Rate Spectra
- Long-Time Correlations and Anomalous Diffusion Due to Accelerator Modes in the Standard Maps
- Linearities of the f(α) Spectrum at Bifurcations of Chaos in Dissipative Differential Systems
- Long-Time Correlations and Expansion-Rate Spectra of Chaos in Hamiltonian Systems : Progress Letters
- q-Phase Transitions and Dynamic Scaling Laws at Attractor-Merging Crises in the Driven Damped Pendulum : Progress Letters
- Dynamic Description of the Critical 2^∞ Attractor and 2^m-Band Chaos : General and Mathematical Physics
- Dynamics on Critical Tori at the Onset of Chaos and Critical KAM Tori
- Singular Local Structures of Chaotic Attractors and q-Phase Transitions of Spatial Scaling Structures
- Classification of Collisions of Chaotic Attractors with Unstable Periodic Orbits in Terms of the q-Phase Transitions.
- Scaling Structures of Chaotic Attractors and q-Phase Transitions at Crises in the Henon and Annulus Maps : General and Mathematical Physics
- Singular Local Structures of Chaotic Attractors Due to Collisions with Unstable Periodic Orbits in Two-Dimensional Maps
- Characterization of Local Structures of Chaotic Attractors in Terms of Coarse-Grained Local Expansion Rates: General and Mathematical Physics
- Spatial and Temporal Scaling Properties of Strange Attractors and Their Representations by Unstable Periodic Orbits
- Mapping Model of Chaotic Phase Synchronization(Condensed Matter and Statistical Physics)
- Uterine Leiomyoma Causing Massive Ascites and Left Pleural Effusion with Elevated CA 125 : A Case Report
- Secondary acute leukemia following chemotherapy for ovarian cancer: report of five cases
- 27pTC-5 Duffing振動子系の時間相関関数の構造II(27pTC その他の力学系モデル,領域11(統計力学,物性基礎論,応用数学,力学,流体物理))
- 25a-H-3 Ryaleigh-Benard対流系に対するモデルの改良とカオス的移流の諸性質
- Spectra of Singularities for the Lozi and Henon Maps
- On Partial dimensions and Spectra of Singularities of Strange Attractors
- Dynamic Scaling Laws for Bifurcations of Chaos in Dissipative Differential Systems
- Synchronized States in Asymmetric Coupled Map Systems : Condensed Matter and Statistical Physics
- Structural Criticality of Dynamical Glass State in a Spatially Coupled Map
- Appearance of an Invariant Manifold and On-Off Intermittency in Coupled-Maps : Application to a 3-Valued Neuron : Condensed Matter and Statistical Physics
- Noisy Sine-Circle Map as a Model of Chaotic Phase Synchronization(Oscillation, Chaos and Network Dynamics in Nonlinear Science)
- On the Linear Slopes in the Expansion-Rate Spectra of Chaos : General and Mathematical Physics
- Stochastic Resonance-Like Behavior in the Sine-Circle Map
- 21pGS-4 Duffing振動子系の時間相関関数の構造III(21pGS 力学系とその周辺,領域11(統計力学,物性基礎論,応用数学,力学,流体物理))
- Anomalous Diffusion Induced by External Force in the Standard Map. II : Condensed Matter and Statistical Physics
- Food habits of the farmer damselfish Stegastes nigricans inferred by stomach content, stable isotope, and fatty acid composition analyses
- The Quantum-Statistical Theory of Transport Phenomena, I : On the Boltzmann-Uehling-Uhlenbeck Equation
- Hopf Bifurcations and Chaos in the S-Shaped I-V Characteristic Systems : Condensed Matter and Statistical Physics
- Evolution of Chaos and Power Spectra in One-Dimensional Maps
- Vortex Stretching and Transport Processes in Fully-Developed Turbulence
- Stochastic extinction of tumor cells due to synchronization effect through time periodic treatment in a tumor-immune interaction model
- Various Synchronization Phenomena in Discrete-Time Coupled Chaotic Rotors
- 24pAE-14 少数自由度カオス力学系の時間相関関数の構造(24pAE 保存力学系・その他の力学系,領域11(統計力学,物性基礎論,応用数学,力学,流体物理))
- Anomalous Diffusion Induced by External Force in the Standard Map. II : Condensed Matter and Statistical Physics
- Turbulent Transport in Benard Convection(Condensed Matter and Statistical Physics)
- Scaling for the Space-Time Coarse Graining and Kinetic Equations (Nonlinear Nonequilibrium Statistical Mechanics--Proceedings of the 1978 Oji Seminar at Kyoto,July 10〜14,1978)
- Singular Local Structures of Chaotic Attractors Due to Collisions with Unstable Periodic Orbits in Two-Dimensional Maps
- Stochastic Resonance in the Hodgkin-Huxley Network
- 7aTA-6 強制振り子(保存系)における拡散と時間相関(力学系(保存系),領域11)