ON SYMMETRY PROPERTY OF CENTER MANIFOLDS OF DIFFERENTIAL SYSTEMS
Maoan Han, Ai Ke · Journal of Applied Analysis & Computation · 2025
We present a simple and new proof on some symmetry properties of center manifolds of differential systems under certain symmetry conditions in a given differential system. 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.