On Some Applications of Complex Analysis in Non-Linear Dynamics
We consider stability of equilibrium in a discrete autonomous dynamical system. The suggested method involves extremal polynomials of complex variable. The examples of applications include H´ennon map, Burgers mapping, Arnold’s Cat map, Ikeda map and several others.
Spring Southeastern Sectional Meeting of the American Mathematical Society (AMS)
Stokolos, Alexander M..
"On Some Applications of Complex Analysis in Non-Linear Dynamics."
Mathematical Sciences Faculty Presentations.