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Diagnosing multistability by offset boosting

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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… Click to show full abstract

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.

Keywords: multistability; multistability offset; offset boosting; approach; diagnosing multistability

Journal Title: Nonlinear Dynamics
Year Published: 2017

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