Abstract
AbstractThis 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 are characterized, and their stability is 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. ResumenPresenta un estudio analítico y numérico de la dinámica de un sistema discreto asociado a una familiacuadrática a tramos; se caracterizan las órbitas de período uno y dos, así como su estabilidad; se muestrala presencia del fenómeno no suave, conocido como bifurcación por colisión de borde cuando ocurre undoblamiento de período. Se hallaron numéricamente los exponentes de Lyapunov para detectar la presencia de caos en el sistema.
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