【摘 要】
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The relation between the Lyapunov exponent spectrun of a periodically excited non-autonomous dynamical system and the Lyapunov exponent spectrum of the correspo
【机 构】
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Shanghai Institute of Applied Mathematics and Mechanics,School of Civil Engineering and Mechanics
论文部分内容阅读
The relation between the Lyapunov exponent spectrun of a periodically excited non-autonomous dynamical system and the Lyapunov exponent spectrum of the corresponding autonomous system is given and the validity of the relation is verified theoretically and computationally. A direct method for calculating the Lyapunov exponent spectrum of non-autonomous dynamical systems is suggested in this paper, which makes it more convenient to calculate the Lyapunov exponent spectrum of the dynamical system periodically excited. Following the defi nition of the Lyapunov dimension D(LA) of the autonomous system, the definition of the Lyapunov dimension Dl of the non-autonomous dynamical system is also given, and the difference be-tween them is the integer 1, namely, D(A)L - DL = 1. For a quasi-poriodically excited dynamical system,similar conclusions are formed.
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