Optimized Statistical Model for Lorenz System : Complex Dynamics in Nonlinear Systems

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概要

• 論文の詳細を見る

• We have made an estimate for the statistical distribution of the typical chaotic dynamics, the Lorenz system. The method we use is minimizing the Kullback-Leibler information among the class of trial distributions that we assume. From this optimized distribution we calculate time correlation function and entropy decay (or some kind of complexity) of the Lorenz system.

• 理論物理学刊行会の論文
• 1990-03-28

著者

• Yanagita T

  Hokkaido Univ. Sapporo

• SHIMADA Ippei

  Atomic Energy research Institute, College of Science and Technology Nihon University

• Shimada Ippei

  Atomic Energy Research Institute College Of Science And Technology Nihon University

• YANAGITA Tatsuo

  Department of Physics, College of Science and Technology Nihon University

関連論文

• Generating Function and Its Formal Derivatives for Dynamical Systems
• On the C-System-Like Property of the Lorenz System
• Optimized Statistical Model for Lorenz System : Complex Dynamics in Nonlinear Systems
• Phase Transition between Stationary State. III : An Integral Equation for Necessary and Sufficient Liapounoff Functions
• Gibbsian Distribution on the Lorenz Attractor
• Phase Transition between Stationary States. II : Liapounoff Function in Benard Problem
• The Wandering Motion on the Lorenz Surface
• The Iterative Transition Phenomenon between Periodic and Turbulent States in a Dissipative Dynamical System
• A Numerical Approach to Ergodic Problem of Dissipative Dynamical Systems

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