| Abstract: |
| Center manifolds are important invariant sets for dynamical systems which reduces high-dimensional systems to simplers ones on the center manifolds. This makes it possible to analyze bifurcations and stability that would otherwise be intractable. But their non-uniqueness poses a critical obstacle. In this talk, I will present our recent result on smooth conjugacy of center manifold dynamics, i.e., proving that the reduced dynamics are uniquely determined up to smooth equivalence, and then apply the developed theory to resolve some problems in the literature. |
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