New Asymptotic Law Governing Overall Temporal Correlations in Chaotic Systems : Ensemble Homogenization and Order-q Power Spectrum : General and Mathematical Physics
スポンサーリンク
概要
- 論文の詳細を見る
A new statistical-physical asymptotic law relevant to explicit correlation in temporal fluctuations generated by chaotic dynamics is found. Homogenizing the ensemble members, we can introduce the order-q power spectrum I_q(ω) in the ``thermodynamic'' limit, whose poles are proved to be determined by the eigenvalues of the order-q evolution operator H_q previously introduced. It is a natural extension of the conventional power spectrum I(ω)(=I_<q=0>(ω)), and enables us to study various correlation characteristics by controlling the value of parameter q. This manifests that the intensive variable q governs overall temporal-correlation characteristics as well as the global aspect described by fluctuation-spectrum theory.
- 理論物理学刊行会の論文
- 1991-02-25
著者
-
Shibata Hiroshi
Department of Applied Physics, The National Defense Academy
-
Fujisaka Hirokazu
Department Of Applied Analysis And Complex Dynamical Systems Graduate School Of Informatics Kyoto Un
-
藤坂 博
Department Of Applied Analysis And Complex Dynamical Systems Graduate School Of Informatics Kyoto Un
-
SHIBATA Hiroshi
Department of Physics, Kyushu University
-
SHIBATA Hiroshi
Department of General Education, Kumamoto Institute of Technology
関連論文
- Lower Lamb Wave Resonance Mode of Thin Cylindrical Shells
- Effect of Thin Cylindrical Shell Vibration on Resonant Frequency of Cylindrical Resonator-Type Sound Source
- Phenomenological Determination of Scaling Exponents in Two-Dimensional Decaying Turbulence : Condensed Matter and Statistical Physics
- Effects of External Noise on Anomalous Diffusion in Hamiltonian Dynamical Systems
- Intermittency Caused by Chaotic Modulation. I : Analysis with a Multiplicative Noise Model : General and Mathematical Physics
- Simultaneous Resection of Gastric Carcinoma and Splenectomy in a Patient with Polycythemia Vera : Report of a Case
- BLOOD CLEARANCE OF ^<99m>Tc-PHYTATE FOR EVALUATION OF HEPATIC DYSFUNCTION IN DOGS
- Amplitude Equation of Higher-Dimensional Nikolaevskii Turbulence
- Modeling Chaotic Evolution with Nonlinear Langevin Dynamics
- Asymptotic Behavior of the q-th Order Intermittency Exponent in Fully Developed Turbulence : Classical Phenomenology and Applications
- Dynamical Correlations for the Kuramoto-Sivashinsky Equation(Condensed Matter and Statistical Physics)
- Determination of Chaotic Dynamical Correlations in Terms of Unstable Periodic Orbits(Condensed Matter and Statistical Physics)
- Self-Organization in a Spin Model of Chaos Neural Network
- Self-Similarity and Energy-Dissipation Rate Fluctuations in Turbulence
- Adenoid Cystic Carcinoma of the Esophagus : Report of a Case and Review of the Japanese Literature
- Relationship of Serum Lipids to 10-year Deaths from All Causes and Cancer in Japanese Urban Dwellers Aged 40 Years and Over
- Self-rated Health as a Predictor of Active Life in the Community Elderly
- Self-Similarity and Energy-Dissipation Rate Fluctuations in Turbulence
- Fluctuation Spectrum for a New Type of Intermittency in a Coupled Electronic Circuit
- α-ナフチルイソチオシアン酸肝障害ラットにおける99mTc-フィチン酸とインドシアニングリ-ンの血液クリアランス試験の比較〔英文〕
- Transverse Front Instability in Bistable Systems with Long-Range Interactions(Condensed Matter and Statistical Physics)
- Derivation of Phase Dynamics in Non-Locally Distributed Systems with Periodic Structures in Either Space or Time(Condensed Matter and Statistical Physics)
- Pattern Formation in Swift-Hohenberg Equation under an Oscillating Field(Oscillation, Chaos and Network Dynamics in Nonlinear Science)
- PATTERN FORMATIONS IN REACTION-DIFFUSION SYSTEM(Session IV : Structures & Patterns, The 1st Tohwa University International Meeting on Statistical Physics Theories, Experiments and Computer Simulations)
- Stochastic Model of Chaotic Phase Synchronization. II(Condensed Matter and Statistical Physics)
- Stochastic Model of Chaotic Phase Synchronization. I(Condensed Matter and Statistical Physics)
- Impact Response Analysis of Patella-Patellar Tendon-Tibial Tuberosity Complex(Impact 2)
- Phase Diffusion in Chaotic Oscillators System(Oscillation, Chaos and Network Dynamics in Nonlinear Science)
- Analysis of Compression Force in the Hip Joint during Impulsive Exercises: A Preliminary Study for Developing Exercise Protocol for Osteoporosis
- Relationship of Serum Cholesterols and Vitamin E to Depressive Status in the Elderly
- Longitudinal Change in Serum Cholesterol Levels Among Isolated Hypertriglyceridemic Cases
- Health Problems in Aging Populations
- Nonlinear Effect on the First Passage Time Distribution
- Dynamic Scaling Laws for the Intermittent Switching between Two Bands : Progress Letters
- Statistical Characterization of a Set of Random Hamiltonians : Order-q Free Energy and Fluctuation Spectrum
- On-Off Intermittency Associated with the Breakdown of One-Dimensional Motion
- Mapping Model of Chaotic Phase Synchronization(Condensed Matter and Statistical Physics)
- Reciprocal Expression of mRNA for Inhibin β_C and β_A Subunits in Hepatocytes
- EFFECT OF α-NAPHTHYLISOTHIOCYANATE ON BLOOD CLEARANCE OF ^<99m>Tc-PHYTATE IN RATS
- Characteristic Property of Impact Fracture Toughness
- Microtubule Disruption with BAPTA and Dimethyl BAPTA by a Calcium Chelation-Independent Mechanism in 3T3-L1 Adipocytes
- BLOOD CLEARANCE OF ^<99m>Tc-PHYTATE FOR EVALUATION OF HEPATIC DYSFUNCTION IN RATS
- Scaling Properties of Characteristic Exponents in a Coupled-Chaos System
- Self-Similarity Dynamics of On-Off Intermittency
- EFFECT OF D-GALACTOSAMINE ON BLOOD CLEARANCE OF ^<99m>Tc-PHYTATE IN RATS
- Fluctuation Spectrum Theory of Ising Spin Sequences : A New Approach to Ising Spin Patterns : General and Mathematical Physics
- EFFECT OF D-GALACTOSAMINE ON BLOOD CLEARANCE OF ^Tc-PHYTATE IN DOGS
- EFFECT OF α-NAPHTHYLISOTHIOCYANATE ON BLOOD CLEARANCE OF ^<99m>Tc-PHYTATE IN DOGS
- EFFECT OF DL-ETHIONINE ON BLOOD CLEARANCE OF ^Tc-PHYTATE IN DOGS
- Synchronized States in Asymmetric Coupled Map Systems : Condensed Matter and Statistical Physics
- Characterization of Various Statistics of Diffusive Motion
- TURING INSTABILITY IN THE OREGONATOR MODEL(Session IV : Structures & Patterns, The 1st Tohwa University International Meeting on Statistical Physics Theories, Experiments and Computer Simulations)
- Fluctuation Spectrum and Multicorrelation--Application to low Dimensional Dynamical Systems (統計物理学の展開と応用--多様性の中の類似性(研究会報告))
- ORDERING PROCESS AND BLOCH WALL DYNAMICS IN NEARLY 1D ANISOTROPIC SPIN SYSTEM(Session IV : Structures & Patterns, The 1st Tohwa University International Meeting on Statistical Physics Theories, Experiments and Computer Simulations)
- Noisy Sine-Circle Map as a Model of Chaotic Phase Synchronization(Oscillation, Chaos and Network Dynamics in Nonlinear Science)
- Wandering Behavior of the Chaotic Itinerancy in an Oscillator Neural Network Model(Oscillation, Chaos and Network Dynamics in Nonlinear Science)
- A New Expansion of Dynamical Correlations in Stochastic Processes and Chaotic Dynamics(Condensed Matter and Statistical Physics)
- Magnetic Domain Wall Dynamics Associated with the Dynamic Phase Transition(Oscillation, Chaos and Network Dynamics in Nonlinear Science)
- Intermittency Caused by Chaotic Modulation. II : Lyapunov Exponent, Fractal Structure and Power Spectrum : General of Theoretical Physics
- Dynamic Scaling Law of Order-q Time Correlation Function : General and Mathematical Physics
- Continued Fraction Expansion of Fluctuation Spectrum and Generalized Time Correlation
- "Thermodynamics", Temporal Correlations and Scaling Laws : Complex Dynamics in Nonlinear Systems
- Analytic Properties of Characteristic Exponents for Chaotic Dynamical Systems : General and Mathematical Physics
- Characterization of Statistically Homogeneous Fluctuations : Fluctuation Spectrum and Spatial Correlation : Condensed Matter and Statistical Physics
- Theory of Diffusion and Intermittency in Chaotic Systems.II : Physical Picture for Non-Perturbative Non-Diffusive Motion : Condensed Matter and Statistical Physics
- On-off Intermittency in a Four-Dimensional Poincare Map
- Fluctuation-Spectrum Approach to Anomalous Enhancement of Diffusive Motion in Chaotic Dynamics : General and Mathematical Physics
- New Asymptotic Law Governing Overall Temporal Correlations in Chaotic Systems : Ensemble Homogenization and Order-q Power Spectrum : General and Mathematical Physics
- Theory of Diffusion and Intermittency in Chaotic Systems : Condensed Matter and Statistical Physics
- A Coupled Oscillatory-Reaction System Exhibiting Bifurcation Scheme Leading to a Chaos
- Fluctuation Renormalization in Nonlinear Dynamics
- Correlation Length in the Rayleigh-Benard Convection(General)
- BLOOD CLEARANCES OF ^Tc-PHYTATE AND INDOCYANINE GREEN IN CARBON TETRACHLORIDE TREATED DOGS
- Molluscan faunas of the First Setouchi Series, Southwest Japan Part l : Fauna of the Ichishi Group
- Statistical Dynamics of Chaotic Flows
- A New Expansion of the Master Equation
- Intermittency Associated with the Breakdown of the Chaos Symmetry
- Stability Theory of Synchronized Motion in Coupled-Oscillator Systems
- Theoretical Study of a Chemical Turbulence
- A Maximum Principle for Determining the Intermittency Exponent μ of Fully Developed Steady Turbulence
- Theory of Diffusion and Intermittency in Chaotic system. III : New Approach to Temporal Correlations
- Stability Theory of Synchronized Motion in Coupled-Oscillator Systems. IV : Instability of Synchronized Chaos and New Intermittency : Condensed Matter and Statistical Physics
- Intermittency Caused By Chaotic Modulation. III : Self-Similarity and Higher Order Correlation Functions : General and Mathematical Physics
- Scaling Structures of Free-Energy Fluctuations in a One-Dimensional Dilute Ising Model : General and Mathematical Physics
- EFFECTS OF HYPERTENSION AND ANTIHYPERTENSIVE DRUGS ON CARDIOVASCULAR COMPLICATIONS IN THE ELDERLY
- Breakdown of Chaos Symmetry and Intermittency in Band-Splitting Phenomena : General and Mathematical Physics
- Scaling Behaviors of Characteristic Exponents near Chaotic Transition Points : Condensed Matter and Statistical Physics
- On the β-Model of Intermittent Fully-Developed Turbulence
- Reduction of Variables and Processes in Macrodynamics
- Stability Theory of Synchronized Motion in Coupled-Oscillator Systems. II : The Mapping Approach
- Possibility of Soft-Mode Turbulence in Reaction-Diffusion Systems
- New Approach to Multiplicative Stochastic Processes. II : Infinite Number of Time Correlations : Condensed Matter and Statistical Physics
- A Fluctuation Theory of Local Fractal Dimensions
- Congenital Heart Disease in High School and College Students
- A New Intermittency in Coupled Dynamical Systems
- Stability Theory of Synchronized Motion in Coupled-Oscillator Systems. III : Mapping Model for Continuous System : Condensed Matter and Statistical Physics
- A New Expansion of Dynamical Correlations in Stochastic Processes and Chaotic Dynamics(Condensed Matter and Statistical Physics)
- Induction of prolonged elevation of interleukin 2 in the culture medium of murine splenocytes by their precultivation before mitogenic stimulations and its potentiation by glucocorticoid treatment and restraint stress loading.
- Comprehensive Study of Elderly People Living in an Urban Community: The Koganei Study
- New evidence about thyroid cancer prevalence : prevalence of thyroid cancer in younger and middle-aged Japanese population