Journal
CHINESE PHYSICS B
Volume 25, Issue 5, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1674-1056/25/5/050503
Keywords
non-equilibrium multi-wing hyperchaotic system; single parameter control; unified step function; circuit implementation
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Funding
- National Natural Science Foundation of China [61403143]
- Natural Science Foundation of Guangdong Province, China [2014A030313739]
- Science and Technology Foundation Program of Guangzhou City, China [201510010124]
- Excellent Doctorial Dissertation Foundation of Guangdong Province, China [XM080054]
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This paper aims at developing a novel method of constructing a class of multi-wing chaotic and hyperchaotic system by introducing a unified step function. In order to overcome the essential difficulties in iteratively adjusting multiple parameters of conventional multi-parameter control, this paper introduces a unified step function controlled by a single parameter for constructing various multi-wing chaotic and hyperchaotic systems. In particular, to the best of the authors' knowledge, this is also the first time to find a non-equilibrium multi-wing hyperchaotic system by means of the unified step function control. According to the heteroclinic loop Shilnikov theorem, some properties for multi-wing attractors and its chaos mechanism are further discussed and analyzed. A circuit for multi-wing systems is designed and implemented for demonstration, which verifies the effectiveness of the proposed approach.
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