Mathematical Sciences: Faculty Presentations (1991-2022)

On Some Applications of Complex Analysis in Non-Linear Dynamics

Document Type

Presentation

Presentation Date

3-5-2016

Copyright

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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

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