Memristor Based van der Pol Oscillation Circuit

Yimin Lu, Xianfeng Huang, Shaobin He, Dongdong Wang, Bo Zhang
2014 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering  
The memristor is referred to as the fourth fundamental passive circuit element of which inherent nonlinear properties offer to construct the chaos circuits. In this paper, a flux-controlled memristor circuit is developed, and then a van der Pol oscillator is implemented based on this new memristor circuit. The stability of the circuit, the occurring conditions of Hopf bifurcation and limit circle of the self-excited oscillation are analyzed; meanwhile, under the condition of the circuit with an
more » ... external exciting source, the circuit exhibits a complicated nonlinear dynamic behavior, and chaos occurs within a certain parameter set. The memristor based van der Pol oscillator, furthermore, has been created by an analog circuit utilizing active elements, and there is a good agreement between the circuit responses and numerical simulations of the van der Pol equation. In the consequence, a new approach has been proposed to generate chaos within a nonautonomous circuit system.
doi:10.1142/s0218127414501545 fatcat:oxbdnhhwtbbzras6jjoiqvrsum