An Offset-Boostable Chaotic Oscillator with Broken Symmetry

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

Automated summary

A new 3D offset-boostable symmetric system is proposed by introducing an absolute value function. The system is more fragile and prone to a state of broken symmetry. Coexisting attractor pairs get closer and finally merge together. The basins of attraction demonstrate the arrangement of these coexisting attractors in phase space.