Work

Lyapunov graphs of Non-singular Morse-Smale flows on $S^1 \times S^2$

Year: 2026

Type: preprint

Abstract: Following B. Yu's work on Lyapunov graphs of non-singular Smale flows on $S^1\times S^2$, we characterize the Lyapunov graphs of non-singular Morse-Smale flows on $S^1 \times S^2$ by using filtrating neighborhoods as the local data attached to the vertices. More precisely, we determine which oriented graphs with vertices labeled by filtrating neighborhoods can be realized as such Lyapunov graphs.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.02271

Author: Chen, Fangfang

Institution: Huangshan University

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7207684779

Cites: 1

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Related to: 10