On Some Applications of Complex Analysis in Non-Linear Dynamics
Document Type
Presentation
Presentation Date
3-5-2016
Abstract or Description
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.
Sponsorship/Conference/Institution
Spring Southeastern Sectional Meeting of the American Mathematical Society (AMS)
Location
Athens, GA
Recommended Citation
Stokolos, Alexander M..
2016.
"On Some Applications of Complex Analysis in Non-Linear Dynamics."
Department of Mathematical Sciences Faculty Presentations.
Presentation 411.
https://digitalcommons.georgiasouthern.edu/math-sci-facpres/411