Onset of the propagating pulse wave in a ring of coupled bistable oscillators

抄録

One of the onset mechanisms of the propagating pulse wave observed in a ring of coupled bistable oscillators is investigated. In particular, a formation mechanism of the propagating pulse wave solution and its related dynamics are discussed. For the 6-coupled oscillator case, it is verified that a global bifurcation of maps based on the heteroclinic tangle converts the fixed point corresponding to the standing pulse wave into the invariant circle corresponding to the propagating pulse wave.