Pattern formation in a nonequilibrium phase transition for a generalized Burgers–Fisher equation


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Resumo

A nonequilibrium phase transition of a generalized Burgers–Fisher equation describing biological pattern formation with a periodic boundary condition is examined. In the presence of a weak external force, some approximate bifurcation solutions near a critical point and new spatially periodic patterns are obtained by using the perturbation method in an infinite-dimensional space. The result shows that the external force delays the bifurcation.

Sobre autores

Q. Huang

Department of Fundamental Sciences

Autor responsável pela correspondência
Email: joweiwong@gmail.com
República Popular da China, Yancheng, 224051

J. Tang

Department of Fundamental Sciences; College of Mechanical and Vehicle Engineering

Email: joweiwong@gmail.com
República Popular da China, Yancheng, 224051; Changsha, 410082

L. Zhang

College of Mechanical and Vehicle Engineering

Email: joweiwong@gmail.com
República Popular da China, Changsha, 410082

K. Ouyang

State Grid Hunan Electric Power Corporation Research Institute

Email: joweiwong@gmail.com
República Popular da China, Changsha, 410007

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