Influence of Arc Ignition Voltage on Vibrations Generated in Autonomous RLC Circuits Part. 2. Oscillations in Circuits with Arc of Undefined and Specified Ignition Voltage Values

The determination of parameters and initial conditions responsible for the formation of chaotic vibrations necessitated the considering of mathematical models of simple circuits with electric arc of unspecified ignition voltage. The use of numerical calculations made it possible to identify ranges of circuit element parameters, where at least one of the Lyapunov exponents of chaotic attractors had a positive value. The subsequent stage of the research work discussed in the article involved the reduction of arc ignition voltage until all exponents reached negative values. The above-named situation corresponds to the disappearance of chaotic vibrations in the circuit. The tests revealed low relative current values of the arc model causing the aforementioned bifurcation.