Numerical identification of nonhyperbolicity of the Lorenz system through Lyapunov vectors
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- Saiki Yoshitaka
- Department of Mathematics, Hokkaido University
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- Kobayashi Miki U.
- Research Institute for Mathematical Sciences, Kyoto University
抄録
Understanding nonhyperbolicity in dynamical systems is important, yet, it is usually difficult to see whether a system is hyperbolic or not. In this letter, angles between stable and unstable directions on a point of a chaotic attractor of the Lorenz system with some sets of various parameter values are calculated through identifying Lyapunov vectors numerically. Then we estimate the parameter value where the system becomes nonhyperbolic in one parameter family.
収録刊行物
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- JSIAM Letters
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JSIAM Letters 2 (0), 107-110, 2010
一般社団法人 日本応用数理学会
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詳細情報
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- CRID
- 1390001205300094208
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- NII論文ID
- 130000433682
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- ISSN
- 18830617
- 18830609
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- 本文言語コード
- en
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- データソース種別
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- JaLC
- Crossref
- CiNii Articles
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- 抄録ライセンスフラグ
- 使用不可