ON SPIRAL-LINEAR SYSTEMS
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概要
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"The Poincare-Bendixon Theorem implies that two dimensional flows have no chaotic behavior. L.O. Chua and Brown showed an example of chaotic 2-dimensional flow with ""swicthing"" ([1], [2]). M. Misiurewicz showed that the unimodal map derived from the Chua-Brown system has negative Schwarzian derivative for certain parameter values ([3]). In this note we will show an analogous result for the system called Spiral-Linear system, proposed by H. Kawakami and Lozi, which is 2-dimensional chaotic system with ""switching"" apparently simpler than Chua-Brown system ([4]). The main result of this note is that the 1-dimensional map, which determines behaviors of the system, has negative Schwarzian derivatives."
- Yokohama City University and Yokohama National Universityの論文
- 1997-00-00
Yokohama City University and Yokohama National University | 論文
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