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Ciencia en Desarrollo

Print version ISSN 0121-7488

Abstract

LOPEZ BURITICA, Karen; CASANOVA TRUJILLO, Simeon  and  ACOSTA MEDINA, Carlos Daniel. Dynamics of a System Associated with a Piecewise Quadratic Family. Ciencia en Desarrollo [online]. 2016, vol.7, n.2, pp.125-132. ISSN 0121-7488.

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.

Keywords : Bifurcation; Chaos; Stability; Periodic orbit; Fixed point; Dynamical system.

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