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Heteroclinic points of multi-dimensional dynamical systems. (English) Zbl 1042.37006

Summary: The authors investigate dynamical behavior of multidimensional dynamical systems. These are the systems with a multidimensional independent “time” variable. Especially they consider the problem of concordance, in the sense of Shcherbakov, of limit points and heteroclinic or homoclinic points for multidimensional dynamical systems and solutions of the multidimensional nonautonomous differential equations.

MSC:

37B05 Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.)
37B55 Topological dynamics of nonautonomous systems
54H15 Transformation groups and semigroups (topological aspects)
35B15 Almost and pseudo-almost periodic solutions to PDEs
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