Non-smooth bifurcation analysis of a piecewise linear chaotic circuit

作者：Ji Ying; Bi Qin-Sheng^*

来源：Acta Physica Sinica, 2010, 59(11): 7612-7617.

• piecewise linear chaotic circuit
• non-smooth bifurcation
• period-adding bifurcation

The dynamics of a nonlinear capacitor circuit is investigated in this paper. The symmetric periodic solution and the chaotic attractor can be observed in numerical simulations. Furthermore, the generalized Jacobian matrix at the non-smooth boundaries is introduced to explore the non-smooth bifurcation mechanism for the periodic solutions. Discontinuous bifurcation in the combination of the Hopf bifurcation and the turning point bifurcation occurs at the non-smooth boundaries. Here, the Hopf bifurcation may result in a new frequency, which leads to periodic oscillation. With the variation of the parameter, the periodic symmetric solution oscillates more quickly, which can also be explained through non-smooth bifurcation, and the conclusion accord well with the numerical results.

• 出版日期2010-11
• 单位江苏大学