A-stabilization and the ranges of complex polynomials on the unit disk

Abstract

Problems of stabilization of the unstable cycle of one-dimensional complex dynamical system are briefly discussed. These questions reduced to the problem of description of the ranges of polynomials $q(z)=q_{1}z+q_2{z}^2+\cdots +q_n{z}^n$ defined in the unit disk and normalized by the conditions $q(1)=1$ and this is the main subject of the present paper.

Cited by in corpus (3)

• Generalization of nonlinear control for nonlinear discrete systems
• Further finding results for cycles by semilinear control
• Search for cycles in non-linear autonomous discrete dynamical system