Codimension-2 Bifurcation Dynamics and Infinity Analysis of a Class of Lorenz Chaos Systems With Memristors

HUANG Jun; CHEN Yuming

doi:10.21656/1000-0887.410023

Volume 41 Issue 11

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HUANG Jun, CHEN Yuming. Codimension-2 Bifurcation Dynamics and Infinity Analysis of a Class of Lorenz Chaos Systems With Memristors[J]. Applied Mathematics and Mechanics, 2020, 41(11): 1275-1283. doi: 10.21656/1000-0887.410023

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Codimension-2 Bifurcation Dynamics and Infinity Analysis of a Class of Lorenz Chaos Systems With Memristors

doi: 10.21656/1000-0887.410023

School of Mathematics and Systems Science, Guangdong Polytechnic Normal University, Guangzhou 510665, P.R.China

Funds: The National Natural Science Foundation of China(11701104)

Received Date: 2020-01-10
Rev Recd Date: 2020-10-13
Publish Date: 2020-11-01

Abstract

Abstract

Based on the classical Lorenz system, a class of 3D memristive chaotic systems were obtained through feedback control, and the local high codimensional bifurcation and the infinite global dynamic behavior of the system were studied. Firstly, according to the average theory, the zeroHopf bifurcation behavior at the origin equilibrium point was analyzed. Secondly, with the center manifold theory, the doublezero bifurcation at the origin of the system was investigated. Finally, according to the Poincaré compactification method, the dynamics at infinity of the system was discussed.
- Lorenz system,
- zero-Hopf bifurcation,
- double-zero bifurcation,
- dynamics at infinity

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References(14)

References

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