In this paper, the Melnikov function method has been used to analyse the distance between stable manifold and unstable manifold of the soft spring Duffing equation([1]) after its heteroclinic orbits rupture as the res...In this paper, the Melnikov function method has been used to analyse the distance between stable manifold and unstable manifold of the soft spring Duffing equation([1]) after its heteroclinic orbits rupture as the result of a small perturbation. The conditions that limit circles are bifurcated are given, and then their stability and location is determined.展开更多
文摘In this paper, the Melnikov function method has been used to analyse the distance between stable manifold and unstable manifold of the soft spring Duffing equation([1]) after its heteroclinic orbits rupture as the result of a small perturbation. The conditions that limit circles are bifurcated are given, and then their stability and location is determined.
