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Intertwined Basins of Attraction in Systems of O.D.E.

โœ Scribed by Xiao-song Yang; S.S Yang; C.K Duan

Book ID
104363906
Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
222 KB
Volume
10
Category
Article
ISSN
0960-0779

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โœฆ Synopsis

We investigate the basins of attraction in two dimensional ordinary di}erential equations "O[D[E[#\ and show that under certain conditions the basins of attraction are of _ne and intertwined structure\ which giving rise to an obstruction to predictability[ รž 0888 Published by Elsevier Science Ltd[ All rights reserved[

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An examination is presented of how basins of attraction evolve in a coupled non-linear oscillator that has the ability to escape from a two-dimensional potential well. This work may be considered an extension of earlier studies on a single-degree-of-freedom system [1], in which it was shown that, un