Analytical and numerical techniques for research of bifurcation processes in an electrical circuit with a laser-arc discharge

Abstract

Special techniques have been developed and bifurcation processes in nonlinear circuit with laser-arc discharge and inertial feedback was investigated. It was found that Hopf bifurcation can be both supercritical and subcritical. The boundary between the two types of bifurcation has been found. The interaction of Hopf bifurcation with other ones (the bifurcation of the twin limit cycle and bifurcation of saddle separatrix) was described.