Complex transient dynamics in periodically forced memristive Chua's circuit

摘要

When a sinusoidal voltage stimulus is applied, memristive Chua's circuit becomes a non-autonomous periodically forced nonlinear circuit. By utilizing theoretical formulations, simulations and experimental verifications, the complex transient dynamics of the periodically forced memristive Chua's circuit is investigated in this paper. It can be found that the equilibrium point of the circuit switches between a line equilibrium and no equilibrium with the time evolutions, and the circuit exhibits period, chaos and also hyperchaos in a parameter range of the stimulus frequency. Moreover, some abundant interesting nonlinear phenomena including transient chaos, transient hyperchaos and chaotic beats are revealed numerically and verified experimentally.