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Bifurcation of periodic states in coupled BVP oscillators with hard characteristics

In a previous report, we classified periodic solutions into eight different types according to their symmetrical properties. However stable solutions were only two types. In this report, to obtain more stable states, we investigate bifurcations observed in two identical BVP oscillators with fifth order characteristics coupled by an inductor containing resistive component. We consider two cases that the single oscillator has (1) hard oscillation and (2) three stable equilibrium points. In total we obtain six kinds of periodic solutions. Moreover in the case (2), chaotic attractors caused by a cascade of period-doubling bifurcations are found.