Category of Attractor and Its Application ()
ABSTRACT
In this paper, we provide a new approach to
study the geometry of attractor. By applying category, we investigate the
relationship between attractor and its attraction basin. In a complete metric
space, we prove that the categories of attractor and its attraction basin are
always equal. Then we apply this result to both autonomous and non-autonomous
systems, and obtain a number of corresponding results.
Share and Cite:
Wei, J. , Li, Y. and Li, M. (2015) Category of Attractor and Its Application.
Journal of Applied Mathematics and Physics,
3, 725-729. doi:
10.4236/jamp.2015.37086.
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