Dual space topology of algebras associated with logistic map

Stanislav Popovych

Kiev Shevchenko University

Abstract: Nonlinear dynamical systems are the main tools in study of "dynamical relations" algebars arising in quantum physics models. In particular, Witten's first deformation associated with quadratic two-dimensional map and Quesne's cubic deformation associated with cubic two-dimensional map provide the well-known examples of algebars in this class. The main purpose of this presentation is to give a description of dual space topology of algebars associated with the logistic one-dimensional map.