Submitting Campus

Daytona Beach

Department

Department of Mathematics

Document Type

Article

Publication/Presentation Date

3-2007

Abstract/Description

In this paper we use a traveling wave reduction or a so{called spatial approxima- tion to comprehensively investigate the periodic solutions of the complex cubic{quintic Ginzburg{Landau equation. The primary tools used here are Hopf bifurcation theory and perturbation theory. Explicit results are obtained for the post{bifurcation periodic orbits and their stability. Generalized and degenerate Hopf bifurcations are also brie y considered to track the emergence of global structure such as homoclinic orbits.

Publication Title

Mathematics and Computers in Simulation

DOI

https://doi.org/10.1016/j.matcom.2006.10.022

Publisher

Elsevier

Additional Information

Dr. Mancas was not affiliated with Embry-Riddle Aeronautical University at the time this articles was published.

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