Nonlinear dynamics investigation in parameter planes of a periodically forced compound KdV-Burgers equation
Departamento de Física, Universidade do Estado de
Santa Catarina, 89219-710
Received in final form: 27 May 2013
Published online: 7 August 2013
Parameter plane plots related to a periodically forced compound Korteweg-de Vries-Burgers system, which is modeled by a third-order partial differential equation, are reported. It is shown that typical periodic structures embedded in a chaotic region in these parameter planes, organize themselves in different ways. There are bifurcation sequences whose periods have a well-defined law of formation, that may be written in a closed form, and there are bifurcation sequences self-organized in period-adding cascades.
Key words: Statistical and Nonlinear Physics
© EDP Sciences, Società Italiana di Fisica and Springer-Verlag, 2013