Meanders, zero numbers and the cell structure of Sturm global attractors
From MaRDI portal
Publication:6196018
DOI10.1007/s10884-021-10053-xarXiv2002.00218OpenAlexW3187818813WikidataQ115383028 ScholiaQ115383028MaRDI QIDQ6196018
Publication date: 14 March 2024
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2002.00218
Morse theoryone space dimensionparabolic PDEmeandercell complexinfinite-dimensional dissipative dynamics
Attractors (35B41) Initial-boundary value problems for second-order parabolic equations (35K20) Semilinear parabolic equations (35K58)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Schoenflies spheres as boundaries of bounded unstable manifolds in gradient Sturm systems
- Nonlinear Sturm global attractors: unstable manifold decompositions as regular CW-complexes
- A permutation characterization of Sturm global attractors of Hamiltonian type
- A sequence of order relations: Encoding heteroclinic connections in scalar parabolic PDE
- Sturm 3-ball global attractors. 1: Thom-Smale complexes and meanders
- Connecting orbits in scalar reaction diffusion equations. II: The complete solution
- Semigroups of linear operators and applications to partial differential equations
- Geometric theory of semilinear parabolic equations
- A permutation related to the dynamics of a scalar parabolic PDE
- Properties of the attractor of a scalar parabolic PDE
- Infinite-dimensional dynamical systems in mechanics and physics
- Realization of meander permutations by boundary value problems
- Sturm 3-ball global attractors 3: examples of Thom-Smale complexes
- Heteroclinic orbits of semilinear parabolic equations
- Boundary orders and geometry of the signed Thom-Smale complex for Sturm global attractors
- Sturm 3-ball global attractors 2: design of Thom-Smale complexes
- Connectivity and design of planar global attractors of Sturm type. II: Connection graphs
- A branched covering of \(CP^ 2\to S^ 4\), hyperbolicity and projectivity topology
- Meanders
- Connectivity and design of planar global attractors of Sturm type, I: Bipolar orientations and Hamiltonian paths
- Generic properties of equilibria of reaction-diffusion equations with variable diffusion
- The zero set of a solution of a parabolic equation.
- Orbit equivalence of global attractors of semilinear parabolic differential equations
- ENUMERATION OF MEANDERS AND MASUR–VEECH VOLUMES
- Connectivity and design of planar global attractors of Sturm type. III: Small and platonic examples
This page was built for publication: Meanders, zero numbers and the cell structure of Sturm global attractors