Dynamics of a System Associated with a Piecewise Quadratic Family
Abstract This paper presents a study, both in analytical and numerical form, of a discrete dynamical system associated with a piecewise quadratic family. The orbits of periods one and two were characterized, and their stability was established. The nonsmooth phenomenon known as border collision is p...
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| Veröffentlicht in: | Ciencia en desarrollo 2016-12, Vol.7 (2), p.125-132 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | por |
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| Online-Zugang: | Volltext |
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| Zusammenfassung: | Abstract This paper presents a study, both in analytical and numerical form, of a discrete dynamical system associated with a piecewise quadratic family. The orbits of periods one and two were characterized, and their stability was established. The nonsmooth phenomenon known as border collision is present when there is a period doubling. Lyapunov exponents are calculated numerically to determine the presence of chaos in the system. |
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| ISSN: | 0121-7488 |