Symmetry restoration in a class of forced oscillators

摘要: Abstract This paper is concerned with a class of symmetric forced oscillators modeled by nonlinear ordinary differential equations. The Duffing oscillator and the pendulum belong to this oscillators. Another example found in an electric power system associated phenomenon known as ferroresonance. Solutions for systems can be or non-symmetric. Sometimes, physical parameter varied, solutions lose gain symmetry at bifurcation point. It will shown that bifurcations which might otherwise called breaking, creation via collision explosion are all result between conjugate attractors (i.e., relate each other symmetry) limit set. same mechanism seems plausible least some involving non-attracting sets. point illustrated examples.