Chaotic behaviors and toroidal/spherical attractors generated by discontinuous dynamics

Qingfei Chen, Yiguang Hong and Guanrong Chen

Physica A: Statistical Mechanics and its Applications, 2006, vol. 371, issue 2, 293-302

Abstract: 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.

Keywords: Chaotic torus or sphere; Non-smooth structure; Fourier series (search for similar items in EconPapers)
Date: 2006
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:371:y:2006:i:2:p:293-302

DOI: 10.1016/j.physa.2006.03.047

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