Complex dynamics of an archetypal self-excited SD oscillator driven by moving belt friction
Li Zhi-Xin1, Cao Qing-Jie1, †, , Alain Léger2
       

Basins of attraction and their corresponding coexisting attractors using Poincaré sections forc= 0.048,g1= 2,μ= 0.1,v0= 0.2, andω= 1.08. (a) Coexisting period-1 solutions (black and yellow) forα= 0.4 andf= 0.3. (b) Coexistence of a period-2 solution (yellow) and a chaotic attractor (black) forα= 0.4 andf= 0.4528 with the largest Lyapunov exponent 0.0482. (c) Coexistence of a pair of period-4 solutions (black and yellow) and a period-5 solution (blue) forα= 0 andf= 0.54. (d) Coexistence of a pair of period-2 solutions (brown and blue), a period-5 solution (yellow), and a period-14 solution (black) forα= 0 andf= 0.95.