| Volume 15, Number 1, 2025, Pages - DOI：10.11948/JAAC-2024-0319 |
| SOME PROPERTIES OF CENTER MANIFOLDS OF DIFFERENTIAL SYSTEMS |
| Maoan Han |
| Keywords:Center manifold, symmetrical property, invariance. |
| Abstract: |
| We present some symmetrical properties of center manifolds of differential systems under certain symmetrical conditions. These properties are fundamental to study local behavior of orbits, including stability of singular points, bifurcation of periodic solutions and homoclinic orbits of the reduced equations. |
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