Journal
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS
Volume 59, Issue 5, Pages 1015-1028Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCSI.2011.2180429
Keywords
Circuit implementation; grid multiwing hyperchaotic attractor; piecewise linear hyperchaotic Lorenz system family; super-heteroclinic loop; switching control
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Funding
- National Natural Science Foundation of China [61025017, 11072254, 61172023, 60871025]
- Natural Science Foundation of Guangdong Province [8151009001000060, S2011010001018]
- Science and Technology Program of Guangdong Province [2009B010800037]
- Hong Kong Research Grants Council [CityU 1114/11E]
- Australian Research Council [FT0992226]
- Discovery Scheme [DP0986376]
- Australian Research Council [FT0992226] Funding Source: Australian Research Council
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This paper initiates a systematic methodology for generating various grid multiwing hyperchaotic attractors by switching control and constructing super-heteroclinic loops from the piecewise linear hyperchaotic Lorenz system family. By linearizing the three-dimensional generalized Lorenz system family at their two symmetric equilibria and then introducing the state feedback, two fundamental four-dimensional linear systems are obtained. Moreover, a super-heteroclinic loop is constructed to connect all equilibria of the above two fundamental four-dimensional linear systems via switching control. Under some suitable conditions, various grid multiwing hyperchaotic attractors from the real world applications can be generated. Furthermore, a module-based circuit design approach is developed for realizing the designed piecewise linear grid multiwing hyperchaotic Lorenz and Chen attractors. The experimental observations validate the proposed systematic methodology for grid multiwing hyperchaotic attractors generation. Our theoretical analysis, numerical simulations and circuit implementation together show the effectiveness and universality of the proposed systematic methodology.
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