Nonlinear dynamics investigation in parameter planes of a periodically forced compound KdV-Burgers equation
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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.
KeywordsStatistical and Nonlinear Physics
- 4.A.J. Lichtenberg, M.A. Lieberman, Regular and Chaotic Dynamics (Springer, New York, 1992)Google Scholar
- 18.M. Bikdash, B. Balachandran, A. Nayfeh, Nonlinear Dyn. 6, 101 (1994)Google Scholar
- 22.E. Metter, Dynamic buckling, in Handbook of engineering mechanics, edited by W. Flügge (Wiley, New York, 2003)Google Scholar
- 24.S. Wiggins, Introduction to Applied Nonlinear Dynamical Systems and Chaos (Springer, New York, 2003)Google Scholar