| Abstract: |
| In this talk, we study dynamics bifurcation of the modified Swift-Hohenberg equation endowed with evenly periodic condition on an interval.
Having the length of the periodicity as the bifurcation parameter $\lambda$, we prove that the trivial solution bifurcates to an attractor as $\lambda$ crosses over a critical point.
We also verify the structure of the bifurcated attractor by investigating the stability of singular points. |
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