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Characterization of a Family of Cubic Dynamical Systems
Kothari, Shan
Date:2011
Type:Article
Abstract:
Motivated by the fact that cubic maps have found potential appli- cations to modeling of biological and physical processes, we examine a family of discrete, non-linear dynamical systems comprising one-parameter real variable cubic polynomials of a certain form. We examine and classify their xed points and 2-cycles over various parametric domains. We also study their bifurcation diagrams and use a variety of techniques to analyze their chaotic behavior.
Description:
Article published in Mathematics Exchange, 8(1), 2011.