Classifying and quantifying basins of attraction.

نویسندگان

  • J C Sprott
  • Anda Xiong
چکیده

A scheme is proposed to classify the basins for attractors of dynamical systems in arbitrary dimensions. There are four basic classes depending on their size and extent, and each class can be further quantified to facilitate comparisons. The calculation uses a Monte Carlo method and is applied to numerous common dissipative chaotic maps and flows in various dimensions.

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عنوان ژورنال:
  • Chaos

دوره 25 8  شماره 

صفحات  -

تاریخ انتشار 2015