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

Classification of the steady-state solutions: (a1) c₁ = 0.1, c₃ = 0.0; (b1) c₁ = 0.1, c₃ = −0.1; (c1) c₁ = 0.1, c₃ = 0.1; (a2) c₁ = 0.2, c₃ = 0.0; (b2) c₁ = 0.2, c₃ = −0.1; (c2) c₁ = 0.2, c₃ = 0.1.