Non-hyperbolic minimal sets for tridiagonal competitive-cooperative systems

DOI10.1090/S0002-9939-2015-12536-1zbMath1358.37042OpenAlexW2055858230MaRDI QIDQ5246933

Mats Gyllenberg, Chun Fang, Yi Wang

Publication date: 22 April 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2015-12536-1

zbMATH Keywords

skew-product flowexponential separationFloquet bundlesnon-hyperbolic minimal settridiagonal competitive-cooperative system

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Invariant manifolds for ordinary differential equations (34C45) Topological dynamics of nonautonomous systems (37B55) Monotone systems involving ordinary differential equations (34C12)

Related Items

Structure of \(\omega\)-limit sets for almost-periodic parabolic equations on \(S^{1}\) with reflection symmetry

Cites Work

• Unnamed Item
• Unnamed Item
• Periodic tridiagonal systems modeling competitive-cooperative ecological interactions
• Competition for fluctuating nutrient
• Concerning a theorem of sell
• Carrying simplices in nonautonomous and random competitive Kolmogorov systems
• Smooth invariant foliations in infinite dimensional spaces
• A spectral theory for linear differential systems
• The structure of a flow in the vicinity of an almost periodic motion
• The \(C^ 1\) property of carrying simplices for a class of competitive systems of ODEs
• Center manifold and stability for skew-product flows
• Asymptotic almost periodicity of scalar parabolic equations with almost periodic time dependence
• Ergodicity of minimal sets in scalar parabolic equations
• On the dynamics of dominated splitting
• Floquet Bundles for Tridiagonal Competitive-Cooperative Systems and the Dynamics of Time-Recurrent Systems
• Jacobi matrices and transversality
• Competitive and Cooperative Tridiagonal Systems of Differential Equations
• Dynamics of nonautonomous tridiagonal competitive–cooperative systems of differential equations
• Differential equations and convergence almost everywhere in strongly monotone semiflows
• Ergodic Properties of Linear Dynamical Systems
• Periodic Tridiagonal Competitive and Cooperative Systems of Differential Equations
• Convergence in almost periodic competition diffusion systems