| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 7154929 | Communications in Nonlinear Science and Numerical Simulation | 2018 | 22 Pages |
Abstract
Four types of scenarios occurring multistability are identified in a vibro-impact system. Besides the coexistence of high-periodic attractors and chaotic attractors, this system has some coexisting multi-frequency quasiperiodical attractors. We observe the coexistence of different two-dimensional tori T2, which the mechanism of torus formation involves phase-locked dynamics on three-dimensional tori. We also find that the tori T3 and the tori T2 (or period-3) coexist for a certain set of parameters. The mechanism leading to the multistability is investigated through interplay among the codimension two bifurcations, strong resonance bifurcations and global bifurcations.
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Authors
Zhang Yongxiang, Luo Guanwei,