Analysis of Chua's circuit with transmission line

Abstract

We have analyzed Chua's circuit with a transmission line, where the parallel LC resonator in original Chua's circuit is replaced by a lossless or lossy transmission line. Some papers about Chua's circuit with lossless transmission line (time-delayed Chua's circuit) have been reported, but whose analysis is rather simple because the signal on it is not affected an attenuation due to the line loss. On the other hand, the method of characteristics is developed for the simulation of high-speed VLSI circuits containing lossy transmission lines. In this paper, we will apply this method to analyze Chua's circuit with transmission line. The linear interpolation and the variable stepsize integration techniques are introduced to get the accurate solution around the breakpoint of piecewise linear function. Consequently we found from the numerical experiments that Chua's circuit with lossy transmission line has the complicate and interesting chaotic attractors compared to Chua's circuit with lossless line.