Search for cycles in non-linear autonomous discrete dynamical system

We construct a family of polynomials with real coefficients that contains as a particular case the Fejér and Suffridge polynomials. These polynomials allow us to suggest a robust algorithm to search for cycles of arbitrary length in non-linear autonomous discrete dynamical systems. Numeric examples...

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Bibliographic Details
Published in:arXiv.org 2018-05
Main Authors: Dmitrishin, D, Stokolos, A, Tohaneanu, M
Format: Article
Language:English
Subjects:
Algorithms
Dynamical systems
Polynomials
Robustness (mathematics)
Online Access:Get full text
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Summary:We construct a family of polynomials with real coefficients that contains as a particular case the Fejér and Suffridge polynomials. These polynomials allow us to suggest a robust algorithm to search for cycles of arbitrary length in non-linear autonomous discrete dynamical systems. Numeric examples are included.
ISSN:2331-8422