6533b830fe1ef96bd1296ef1
RESEARCH PRODUCT
On the connectedness of the attainability set for lattice dynamical systems
José ValeroFrancisco Morillassubject
Discrete mathematicsAlgebra and Number TheoryCompact spaceDynamical systems theorySocial connectednessApplied MathematicsLattice (order)AttractorInitial value problemUniquenessAnalysisMathematicsdescription
We prove the Kneser property (i.e. the connectedness and compactness of the attainability set at any time) for lattice dynamical systems in which we do not know whether the property of uniqueness of the Cauchy problem holds or not. Using this property, we can check that the global attractor of the multivalued semiflow generated by such system is connected.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2012-04-01 | Journal of Difference Equations and Applications |