Multi-valued responses and dynamic stability of a nonlinear vibro-impact system with a unilateral non-zero offset barrier

Xu Wei¹, Huang Dong-Mei^{1, 2, †,}, Xie Wen-Xian¹

Phase portraits of system (1) for Ω = 2.08: (a)c₁ = 0.1, c₃ = −0.1; (b) c₁ = 0.1, c₃ = 0.0; (c) c₁ = 0.1, c₃ = 0.1; (d) c₁ = 0.2, c₃ = −0.1; (e) c₁ = 0.2, c₃ = 0.0; (f) c₁ = 0.2, c₃ = 0.1.