Dynamics of a System Associated with a Piecewise Quadratic Family

• Published in: Ciencia en desarrollo Vol. 7; no. 2; pp. 125 - 132
• Main Authors: López Buriticá, Karen, Casanova Trujillo, Simeon, Acosta Medina, Carlos Daniel
• Format: Journal Article
• Language: Portuguese
• 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

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...