Journal
NONLINEAR DYNAMICS
Volume 81, Issue 3, Pages 1275-1288Publisher
SPRINGER
DOI: 10.1007/s11071-015-2067-4
Keywords
Hyperchaos; Four-wing attractor; A line equilibrium; Memristor; Topological horseshoe
Categories
Funding
- Natural Science Foundation of China [61174094]
- Tianjin Nature Science Foundation [14JCYBJC18700]
- Shandong Provincial Natural Science Foundation [ZR2012FM034]
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A new hyper-chaotic system is presented in this paper by adding a smooth flux-controlled memristor and a cross-product item into a three-dimensional autonomous chaotic system. It is exciting that this new memristive system can show a four-wing hyper-chaotic attractor with a line equilibrium. The dynamical behaviors of the proposed system are analyzed by Lyapunov exponents, bifurcation diagram and Poincar, maps. Then, by using the topological horseshoe theory and computer-assisted proof, the existence of hyperchaos in the system is verified theoretically. Finally, an electronic circuit is designed to implement the hyper-chaotic memristive system.
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