Two new chaotic systems with only one linear term and their different structure synchronization

XIAN Yongju 1, XIA Cheng 1, ZHONG De 1, XU Changbiao 2

Journal of Vibration and Shock ›› 2019, Vol. 38 ›› Issue (7) : 71-76.

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PDF(1338 KB)
Journal of Vibration and Shock ›› 2019, Vol. 38 ›› Issue (7) : 71-76.

Two new chaotic systems with only one linear term and their different structure synchronization

  • XIAN Yongju 1, XIA Cheng 1, ZHONG De 1, XU Changbiao 2
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Abstract

Here,two new 3-D autonomous continuous chaotic systems were constructed. Their important characteristics were that each of them has line equilibrium and only one linear term. The two systems’ equilibrium point,Lyapunov exponent spectrum and bifurcation diagram were investigated,respectively. By means of the topological horseshoe theory and numerical computation,their topological horseshoes and topological entropies were obtained. Based on the conditional Lyapunov stability theory,the different structure synchronization between the two chaotic systems was realized using the active control synchronization method. Numerical simulation and theoretical analysis verified the effectiveness of the designed controller.

Key words

chaotic system / line equilibrium / topological horseshoe / different structure synchronization

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XIAN Yongju 1, XIA Cheng 1, ZHONG De 1, XU Changbiao 2. Two new chaotic systems with only one linear term and their different structure synchronization[J]. Journal of Vibration and Shock, 2019, 38(7): 71-76

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