Work

On Symmetry Property of Center Manifolds of Differential Systems

Year: 2025

Type: article

Abstract: 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.

Source: Journal of Applied Analysis & Computation

DOI: 10.11948/20240319

Authors: Maoan Han, Ai Ke

Institution: Zhejiang Normal University

Language: English

Topic: Advanced Differential Equations and Dynamical Systems

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: National Natural Science Foundation of China

Awards: G1694200480, G8521977386