Finding Orbits of Functions Using Suffridge Polynomials

Dmitriy Dmitrishin, Paul Hagelstein, Alex Stokolos

Research output: Contribution to book or proceedingChapterpeer-review

Abstract

In this paper we indicate how Suffridge polynomials may be used to find orbits of functions. In particular, we describe a control mechanism that, given a function f: ℝn→ ℝn and a positive integer T, yields a dynamical system G: ℝTn→ ℝTn that under quantifiable conditions has (x, …, x) as an attractor provided x lies on a T-cycle of f. An explicit example of this control mechanism is provided using a logistic function.

Original languageEnglish
Title of host publicationApplied and Numerical Harmonic Analysis
PublisherSpringer International Publishing
Pages127-133
Number of pages7
DOIs
StatePublished - 2019

Publication series

NameApplied and Numerical Harmonic Analysis
ISSN (Print)2296-5009
ISSN (Electronic)2296-5017

Keywords

  • Control theory
  • Stability

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