When Lyapunov exponents fail to exist.
نویسندگان
چکیده
We describe a simple continuous-time flow such that Lyapunov exponents fail to exist at nearly every point in the phase space R2 , despite the fact that the flow admits a unique natural measure. This example illustrates that the existence of Lyapunov exponents is a subtle question for systems that are not conservative.
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ورودعنوان ژورنال:
- Physical review. E, Statistical, nonlinear, and soft matter physics
دوره 78 5 Pt 2 شماره
صفحات -
تاریخ انتشار 2008