Asymmetric Double Strange Attractors in a Simple Autonomous Jerk Circuit

Figure 10

Experimental phase portraits showing the coexistence of multiple (two) solutions for different values of the control parameter . We have five pairs of mismatch coexisting asymmetric solutions: (a) screw-like (Shilnikov) chaotic attractor a(i) coexisting with a spiralling- like (Feigenbaum) chaotic attractor a(ii) for  k ; (b) screw-like (Shilnikov) chaotic attractor b(i) coexisting with a period-2 cycle b(ii) for  k ; (c) period-3 cycle c(i) coexisting with a period-1 cycle c(ii) for  k ; (d) screw-like (Shilnikov) chaotic attractor d(i) coexisting with a period-1 cycle d(ii) for  k ; (e) period-4 cycles e(i) coexisting with a period-1 cycle e(ii) for  k (i.e., ). Each pair of solutions appears randomly in experiment when switching on and off the power supply. The scales are  V/div and  V/div for all pictures. Note the perfect similarity of those pictures with the numerical phase portraits of Figure 6.