Journal
SCIENCE CHINA-TECHNOLOGICAL SCIENCES
Volume 54, Issue 8, Pages 2180-2187Publisher
SCIENCE PRESS
DOI: 10.1007/s11431-011-4400-6
Keywords
memristor; chaotic circuit; initial state; equilibrium point set; stability
Funding
- National Natural Science Foundation of China [60971090]
- Natural Science Foundations of Jiangsu Province, China [BK2009105]
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Based on Chua's chaotic oscillation circuit, a fifth-order chaotic circuit with two memristors is designed and its corresponding dimensionless mathematic model is established. By using conventional dynamical analysis methods, stability analysis of the equilibrium set of the circuit is performed, the distribution of stable and unstable regions corresponding to the memristor initial states is achieved, and the complex dynamical behaviors of the circuit depending on the circuit parameters and the memristor initial states are investigated. The theoretical analysis and numerical simulation results demonstrate that the proposed chaotic circuit with two memristors has an equilibrium set located on the plane constituted by the inner state variables of two memristors. The stability of the equilibrium set depends on both the circuit parameters and the initial states of the two memristors. Rich nonlinear dynamical phenomena, such as state transitions, transient hyperchaos and so on, are expected.
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