2018/09/26 by Lin Niu, Yi Wang, Niu, Lin +1
Engineering · Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Dynamical Systems (math.DS) #FOS: Mathematics #Quantum chaos and dynamical systems #Stability and Controllability of Differential Equations #math.DS
paper · pdf · doi:10.48550/arxiv.1809.10068
16 pages, 3 figures
arxiv created 2018/09/26 · openalex publication_date 2018/09/26 · arxiv updated 2018/09/27 · openalex created_date 2018/10/05 · openalex updated_date 2026/07/28
A nonlinear dynamical system is called eventually competitive (or cooperative) provided that it preserves a partial order in backward (or forward) time only after some reasonable initial transient. We presented in this paper the Non-oscillation Principle for eventually competitive or cooperative systems, by which the non-ordering of (both ω- and α-) limit sets is obtained for such systems; and moreover, we established the Poincaré-Bendixson Theorem and structural stability for three-dimensional eventually competitive and cooperative systems.