Abstract
In this paper, a two-grid coupled Cellular Neural Networks (CNN's) is proposed, which is composed of time-delay Chua's circuit with same lossless transmission line (LTL). Under zero-flux boundary conditions, the circuit is reduced to two neutral partial differential equations with time delay and diffusion. First, the equilibrium point of the system is calculated by its initial state and original function. Secondly, select the time delay as a bifurcating parameter, the stability and Hopf bifurcation behavior of the coupled circuit system are studied near the equilibrium point. Finally, the numerical simulation shows that the length of the lossless transmission line has an effect on the dynamic behavior of the system.
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