Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
847448 | Optik - International Journal for Light and Electron Optics | 2016 | 6 Pages |
Abstract
This paper reports a novel approach for constructing four-dimensional piecewise-linear multi-wing hyperchaotic differential dynamic system. First, two basic four-dimensional linear systems are obtained. Then, by switching control based on Shilnikov theorem, the double-wing hyperchaotic attractors can be generated. Thirdly, by mth shifting transformation of four-dimensional linear systems, multi-wing hyperchaotic attractors are realized. The designed systems are chaotic in the sense of Smale horseshoe. To confirm the existence of hyperchaotic system, Lyapunov exponent spectrums are further investigated.
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Authors
Chaoxia Zhang,