scientific article; zbMATH DE number 687778
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Publication:4313261
zbMath0814.35056MaRDI QIDQ4313261
Publication date: 14 November 1994
Full work available at URL: https://eudml.org/doc/221091
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global attractorsheteroclinic connectionsnumber of equilibriadissipative one dimensional parabolic equations
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Reaction-diffusion equations (35K57) Attractors of solutions to ordinary differential equations (34D45) Bifurcations in context of PDEs (35B32)
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Heteroclinic orbits between rotating waves of semilinear parabolic equations on the circle ⋮ Sturm 3-ball global attractors 3: examples of Thom-Smale complexes ⋮ Sturm attractors for fully nonlinear parabolic equations ⋮ Meanders, zero numbers and the cell structure of Sturm global attractors ⋮ A permutation characterization of Sturm global attractors of Hamiltonian type ⋮ Global Heteroclinic Rebel Dynamics Among Large 2-Clusters in Permutation Equivariant Systems ⋮ Connectivity and design of planar global attractors of Sturm type. II: Connection graphs ⋮ A sequence of order relations: Encoding heteroclinic connections in scalar parabolic PDE ⋮ Connectivity and design of planar global attractors of Sturm type. III: Small and platonic examples ⋮ Orbit equivalence of global attractors of semilinear parabolic differential equations ⋮ Homoclinic and heteroclinic orbits for a semilinear parabolic equation ⋮ Realization of meander permutations by boundary value problems ⋮ Boundary orders and geometry of the signed Thom-Smale complex for Sturm global attractors ⋮ The viscous Cahn-Hilliard equation: Morse decomposition and structure of the global attractor
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