Diagnosing multistability by offset boosting

An offset-boosting-based approach is developed for multistability identification in dynamical systems, where nonbifurcation operations are used for diagnosing multistability. Compared with the amplitude control method, the proposed approach has three distinguished features: easiness to introduce a parameter for offset boosting; reliability for finding coexisting attractors from arbitrary initial conditions; vigilance for identifying coexisting symmetric pairs of attractors. The proposed approach can identify coexisting hidden or self-excited attractors.