On Some Applications of Complex Analysis in Non-Linear Dynamics

Research output: Contribution to conferencePresentation

Abstract

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.

Original languageAmerican English
StatePublished - Mar 5 2016
EventSpring Southeastern Sectional Meeting of the American Mathematical Society (AMS) -
Duration: Mar 6 2016 → …

Conference

ConferenceSpring Southeastern Sectional Meeting of the American Mathematical Society (AMS)
Period03/6/16 → …

Disciplines

  • Mathematics
  • Physical Sciences and Mathematics

Keywords

  • Applications
  • Complex Analysis
  • Non-Linear Dynamics

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