A new four-dimensional hyperjerk system with stable equilibrium point, circuit implementation, and its synchronization by using an adaptive integrator backstepping control
Singh J P1, †, Pham V T2, Hayat T3, 4, Jafari S5, Alsaadi F E6, Roy B K1
       

(color online) (a) Coexistence of period-1 attractor and period-2 attractor with (x(0), y(0),z(0), w(0))=(0,±0.1,±0.1,±0.1) (blue, red), (b) coexistence of period-1 attractor and stable equilibrium with (x(0), y(0), z(0), w(0) = (0,0, ± 0.8,0) (red, blue), (c) coexistence of stable equilibrium and strange attractor with (x(0), y(0), z(0), w(0) = (0,0.8, ± 0.8, −0.8) (red, blue) of system (2), and a = 2.60, b = 1.43, c = 2.18, d = 6.11, f = 2.65, and g = 1.74.