Chaos synthesis via root locus

For chaos synthesis the following scenario was written and demonstrated. Choose: (i) the linear system with a single input and a single output, at least of the third order, with poles that are semistable, hyperbolic, dissipative, and nonpotential; (ii) the feedback from the output to the input, which is nonlinear, static, odd, and strictly monotonous, giving rise in addition to the central equilibrium also the off-central equilibria; and (iii) the linear system zeros, which are attracting, according to the rules of the root locus method, the central equilibrium poles to the off-central equilibria poles in such a way that these off-central equilibria poles are again semistable, hyperbolic, nonpotential, and dissipative.