Journal
CHINESE PHYSICS B
Volume 26, Issue 11, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1674-1056/26/11/110502
Keywords
multi-scroll hidden attractors; multi-wing hidden attractors; multiple lines equilibria; no equilibrium
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Funding
- National Natural Science Foundation of China [51177117, 51307130]
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A novel 5-dimensional (5D) memristive chaotic system is proposed, in which multi-scroll hidden attractors and multiwing hidden attractors can be observed on different phase planes. The dynamical system has multiple lines of equilibria or no equilibrium when the system parameters are appropriately selected, and the multi-scroll hidden attractors and multi-wing hidden attractors have nothing to do with the system equilibria. Particularly, the numbers of multi-scroll hidden attractors and multi-wing hidden attractors are sensitive to the transient simulation time and the initial values. Dynamical properties of the system, such as phase plane, time series, frequency spectra, Lyapunov exponent, and Poincare map, are studied in detail. In addition, a state feedback controller is designed to select multiple hidden attractors within a long enough simulation time. Finally, an electronic circuit is realized in Pspice, and the experimental results are in agreement with the numerical ones.
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