2D Bifurcations and Chaos in Nonlinear Circuits: a Parallel Computational Approach

This paper deals with parallel computation of 2D bifurcation diagrams in nonlinear oscillating circuits. When two parameters in such circuits vary simultaneously, then a significant computational effort is needed to capture all the details of the obtained bifurcation diagrams. Therefore, parallel computing seems to be a natural approach as, in a typical problem, we deal with solving of a system of ordinary differential equations tens or hundreds of million of times. One particular system of three differential equations from plasma science (electric arc RLC circuit) is used as a test example.