A Rigorous determination of the Overall Period in the Structure of a Chaotic Attractor
نویسندگان
چکیده
There are many examples of nonconnected chaotic attractors consisting of several components. The determination of an overall period of such a system is typically done only by a numerical integration of the system. In this letter, we provide a rigorous proof that the exact value of the overall period of a particular 2-D chaotic attractor from an iterated map is two once the attractor has been partitioned and quantized into disconnected sets. As far as we know, there are no examples of a rigorous proof for such a property in the current literature.
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ورودعنوان ژورنال:
- I. J. Bifurcation and Chaos
دوره 23 شماره
صفحات -
تاریخ انتشار 2013