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 Fej\'er 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 ex...

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Hauptverfasser: Dmitrishin, D, Stokolos, A, Tohaneanu, M
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Dynamical Systems
Physics - Chaotic Dynamics
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Zusammenfassung:We construct a family of polynomials with real coefficients that contains as a particular case the Fej\'er 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.
DOI:10.48550/arxiv.1805.00554