ON SYMMETRY PROPERTY OF CENTER MANIFOLDS OF DIFFERENTIAL SYSTEMS

Maoan Han; Ai Ke

doi:10.11948/20240319

2025 Volume 15 Issue 1

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Maoan Han, Ai Ke. ON SYMMETRY PROPERTY OF CENTER MANIFOLDS OF DIFFERENTIAL SYSTEMS[J]. Journal of Applied Analysis & Computation, 2025, 15(1): 1-8. doi: 10.11948/20240319

Citation:

Maoan Han, Ai Ke. ON SYMMETRY PROPERTY OF CENTER MANIFOLDS OF DIFFERENTIAL SYSTEMS[J]. Journal of Applied Analysis & Computation, 2025, 15(1): 1-8. doi: 10.11948/20240319

ON SYMMETRY PROPERTY OF CENTER MANIFOLDS OF DIFFERENTIAL SYSTEMS

Maoan Han^1, ,,
Ai Ke^1,

1.
School of Mathematical Sciences, Zhejiang Normal University, Jinhua 321004, China

Author Bio: Email: aike_math@zjnu.edu.cn(A. Ke)
Corresponding author: Email: mahan@zjnu.edu.cn(M. Han)
Fund Project: This work is supported by the National Key R&D Program of China (No. 2022YFA1005900) and the National Natural Science Foundation of China (No. 12301214)

Abstract

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.
- Center manifold /
- symmetrical property /
- invariance
MSC: 34C45, 37D10

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References

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