Semiflows “Monotone with Respect to High-Rank Cones" on a Banach Space
DOI10.1137/16M1064295zbMath1359.34056arXiv1603.05129OpenAlexW2572942877MaRDI QIDQ2956666
Jianhong Wu, Yi Wang, Lirui Feng
Publication date: 19 January 2017
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1603.05129
cyclic feedback systemsmonotone semiflowshigh-rank coneshomoclinic propertysystems with discrete-valued Lyapunov functionals
Nonlinear differential equations in abstract spaces (34G20) Stability of solutions to ordinary differential equations (34D20) Invariant manifolds for ordinary differential equations (34C45) Asymptotic properties of solutions to ordinary differential equations (34D05) Monotone systems involving ordinary differential equations (34C12)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Generic Morse-Smale property for the parabolic equation on the circle
- Systems of differential equations that are competitive or cooperative. V: Convergence in 3-dimensional systems
- The Poincaré-Bendixson theorem for monotone cyclic feedback systems
- Existence of periodic orbits for high-dimensional autonomous systems
- Orbital stability for ordinary differential equations
- Convergence to cycles as a typical asymptotic behavior in smooth strongly monotone discrete-time dynamical systems
- A Perron theorem for the existence of invariant subspaces
- Erratum to: Exponential separation and invariant bundles for maps in ordered Banach spaces with applications to parabolic equations
- Systems of differential delay equations: Floquet multipliers and discrete Lyapunov functions
- The Poincaré-Bendixson theorem for monotone cyclic feedback systems with delay
- \(K\)-dimensional invariant cones of random dynamical systems in \(\mathbb{R}^n\) with applications
- Tensor products, positive linear operators, and delay-differential equations
- 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
- Systems of Differential Equations That are Competitive or Cooperative. IV: Structural Stability in Three-Dimensional Systems
- Systems of Differential Equations that are Competitive or Cooperative II: Convergence Almost Everywhere
- Systems of differential equations which are competitive or cooperative: III. Competing species
- Existence of periodic orbits of autonomous ordinary differential equations
- Systems of Differential Equations Which Are Competitive or Cooperative: I. Limit Sets
- Periodic Tridiagonal Competitive and Cooperative Systems of Differential Equations
- Systems of differential equations that are competitive or cooperative. VI: A localCrClosing Lemma for 3-dimensional systems
- Discrete Ljapunov functionals and $\omega $-limit sets
- Almost automorphic and almost periodic dynamics in skew-product semiflows
- Le «closing lemma» en topologie $C^1$
- Orbital Stability and Inertial Manifolds for Certain Reaction Diffusion Systems
- Abstract competitive systems and orbital stability in $\mathbf{{\mathbb R}^3}$
- Dynamics of Small Neural Populations
- The general properties of dicrete-time competitive dynamical systems