Search for cycles in non-linear autonomous discrete dynamical system

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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Veröffentlicht in:arXiv.org 2018-05
Hauptverfasser: Dmitrishin, D, Stokolos, A, Tohaneanu, M
Format: Artikel
Sprache:eng
Schlagworte:
Algorithms
Dynamical systems
Polynomials
Robustness (mathematics)
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Beschreibung
Zusammenfassung: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