Rigorous Computations of Homoclinic Tangencies
نویسندگان
چکیده
In this paper, we propose a rigorous computational method for detecting homoclinic tangencies and structurally unstable connecting orbits. It is a combination of several tools and algorithms, including the interval arithmetic, the subdivision algorithm, the Conley index theory, and the computational homology theory. As an example we prove the existence of generic homoclinic tangencies in the Hénon family.
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ورودعنوان ژورنال:
- SIAM J. Applied Dynamical Systems
دوره 5 شماره
صفحات -
تاریخ انتشار 2006