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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Bibliographic Details
Published inCiencia en desarrollo Vol. 7; no. 2; pp. 125 - 132
Main Authors López Buriticá, Karen, Casanova Trujillo, Simeon, Acosta Medina, Carlos Daniel
Format Journal Article
LanguagePortuguese
Published Universidad Pedagógica y Tecnológica de Colombia 01.12.2016
Subjects
SOCIAL SCIENCES, INTERDISCIPLINARY
Chaos
Stability
Bifurcaciones
estabilidad
Bifurcation
Periodic orbit
Dynamical system
Caos
Sistema dinámico
Fixed point
Órbita periódica
Punto fijo
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Summary: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.
ISSN:0121-7488