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On the calculation of Lyapunov characteristic exponents for continuous-time LTV dynamical systems using dynamic eigenvalues. (English) Zbl 1270.34156

Summary: The concept of the dynamic eigenvalues may be used, in principle, to formulate in a general way analytic solutions of continuous-time linear time-varying dynamical (LTV) systems. It has also been suggested that the mean value of these quantities may be used to calculate Lyapunov characteristic exponents for the aforementioned systems. In this article, it will be demonstrated that this conjecture is not necessarily valid.

MSC:

34D08 Characteristic and Lyapunov exponents of ordinary differential equations
34A30 Linear ordinary differential equations and systems
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References:

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