Work

Global distribution of the limit-sets for competitive flows

Year: 2024

Type: article

Abstract: We give the global distribution of the limit sets for competitive dynamical systems in $ \mathbb{R}^n $. The main result is that, for dissipative competitive dynamical systems in $ \mathbb{R}^n $, there is a countable family of disjoint unordered invariant open $ (n-1) $-cells attracting all non-convergent trajectories, which is a natural extension of Hirsch's work [8].

Source: Discrete and Continuous Dynamical Systems - S

DOI: 10.3934/dcdss.2024170

Authors: Xi Sheng, Yufeng Zhang

Institution: Soochow University

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4402678073

FWCI:

Cites: 23

Cited by:

Related to: 10