A Numerical Approach to Ergodic Problem of Dissipative Dynamical Systems
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概要
- 論文の詳細を見る
Based on the Lyapunov characteristic exponents, the ergodic property of dissipative dynamical systems with a few degrees of freedom is studied numerically by employing, as an example, the Lorenz system. The Lorenz system shows the spectra of (+,0,-) type concerning the 1-dimensional Lyapunov exponents, and the exponents take the same values for orbits starting from almost of all initial points on the attractor. This result suggests that the ergodic property for general dynamical systems not necessarily belonging to the category of the axiom-A may also be characterized in the framework of thee spectra of the Lyapunov characteristic exponents.
- 理論物理学刊行会の論文
- 1979-06-25
著者
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Nagashima Tomomasa
Department Of Computer Science And Systems Engineering Muroran Institute Of Technology
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SHIMADA Ippei
Atomic Energy research Institute, College of Science and Technology Nihon University
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Shimada Ippei
Department Of Physic Hokkaido University
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NAGASHIMA Tomomasa
Department of Precision Engineering, Faculty of Engineering Hokkaido University
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