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Chaotic behaviors and toroidal/spherical attractors generated by discontinuous dynamics

✍ Scribed by Qingfei Chen; Yiguang Hong; Guanrong Chen


Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
819 KB
Volume
371
Category
Article
ISSN
0378-4371

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✦ Synopsis


This paper reports a class of chaotic attractors with toroidal or spherical patterns. These attractors look like spheres or tori, but they are not exactly on the two-dimensional toroidal/spherical surfaces. Discontinuous structures are taken in the considered system to produce easily various chaotic tori/spheres with different input functions. Moreover, controlling the shape of these chaotic attractors can be realized by adjusting some parameters with the help of Fourier series. The underlying chaos-generation mechanism is also explored briefly.