Strange Attractors                                 & Complex Systems

Strange Attractor Type II

The system embeds a deeply modified version of the Lotka-Volterre oscillator and overlaps three nonlinearities, i.e. xy, x2y, and xz:

                    dx/dt = x(a − y) + α z              (1)

                    dy/dt = − y(b − x2)                 (2)

                    dz/dt =−x(c − sz) −βz             (3)

 α, β, and s, parameters. Simulations exhibit two typical morphologies of the related Strange Attractor.