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物理学报. 2000, 49(12): 2328-2332.
doi: 10.7498/aps.49.2328.
非重正交的李雅普诺夫指数谱的计算方法
- 收稿日期: 2000-04-02
- 修回日期: 2000-07-11
- 刊出日期: 2000-06-05
English Abstract
A METHOD FOR COMPUTING LYAPUNOV EXPONENTS SPECTRA WITHOUT REORTHOGONALIZATION
- Received Date:
02 April 2000
- Accepted Date:
11 July 2000
- Published Online:
05 June 2000
Abstract: We present a method for the computation of Lyapunov exponents without reorthogon alization. In the low dimension of system(n<5) ,the equations needed in present algorithm is less than those in normal methods such as QR, SVD etc. This method is applicable to both discrete systems and continuous systems, and is still valid when the Lyapunov spectra is degenerate. Numerical analysis to Lorenz dynamical system indicates that the method converges quickly and steadly for arbitrary nonzero initial state.
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Keywords:
- chaos /
- Lyapunov exponents /
- compound matrix /
- eigenvalue
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