Attractor bifurcation for FKPP type equation with periodic boundary condition

作者：Zhang, Qiang^*

来源：Boundary Value Problems, 2012, 41.

DOI：10.1186/1687-2770-2012-41

• FKPP type equation
• periodic boundary condition
• attractor bifurcation
• center manifold

In this article, we make bifurcation analysis on the FKPP type equation under periodic boundary condition. And we show that the solutions bifurcate from the trivial solution u = 0 to an attractor a (lambda) as parameter crosses certain critical value. Moreover, we prove that the attractor a (lambda) consists of only one cycle of steady state solutions and is homeomorphic to S (1). The analysis is based on a new theory of bifurcation, called attractor bifurcation, which was developed by Ma and Wang. @@@ 2000 Mathematics Subject Classification: 35B; 35Q; 37G; 37L.

• 出版日期2012
• 单位四川大学; 中国民用航空飞行学院