ON SYMMETRY PROPERTY OF CENTER MANIFOLDS OF DIFFERENTIAL SYSTEMS
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.
Authors
- Maoan Han (ORCID: https://orcid.org/0000-0001-8792-1256)
- Ai Ke (ORCID: https://orcid.org/0000-0003-2981-8300)
Publication Details
- Journal
- Journal of Applied Analysis & Computation
- Published
- 2025-01-01
- DOI
- https://doi.org/10.11948/20240319
- Primary Topic
- Mathematical Control Systems and Analysis
- Type
- article
- Field-Weighted Citation Impact
- 0.00