An Offset-Boostable Chaotic Oscillator with Broken Symmetry

A new 3D offset-boostable symmetric system is proposed by an absolute value function introduced. The seems to be more fragile and easier the state of broken symmetry. Coexisting pairs attractors get closer closer, finally emerged together. Basins attraction show how these coexisting are arranged in phase space. All can easily offset boosted space a single constant when initial condition revised accordingly. PSpice simulations prove all phenomena.