Spiking Behavior in Chua's Circuit

Chua's circuit with a slow-fast effect is established under certain parameter conditions. The dynamics of this slow-fast system is investigated. A spiking phenomenon can be observed in the numerical simulation. By introducing slow-fast analysis and a generalized Jacobian matrix at the non-smooth boundaries, the bifurcation mechanism for the periodic spiking solution, different from the smooth case, is discussed.