| Abstract: |
| A center manifold, if existed, is useful tool to study long time behavior of a dynamical system. It contains interesting dynamics, such as periodic orbits, and limit cycles. A main application of the center manifold theory is the dimension reduction, also known as center manifold reduction. However, finding the representation of the center manifold is a challenging problem numerically. In this work, we develop algorithms based on a general framework to compute the center manifold. As an application, we apply our methods to a quasilinear elliptic equation in cylindrical domains, which models a steady stratified fluid flow. |
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