David Cheban, Jinqiao Duan, & Anatoly Gherco
Abstract:
The authors investigate dynamical behavior of
multi-dimensional dynamical systems. These are the
systems with a multi-dimensional independent
``time" variable. Especially they consider the problem
of concordance, in the sense of Shcherbakov, of limit
points and heteroclinic or homoclinic points for
multi-dimensional dynamical systems and solutions of the
multi-dimensional non-autonomous differential equations.
Submitted December 03, 2002. Published April 15, 2003.
Math Subject Classifications: 37B05, 37B55, 54H15, 35B15, 35B35.
Key Words: Topological dynamics, transformation semigroup,
nonautonomous dynamical system, limit set, heteroclinic point, almost
periodicity, concordance, multi-dimensional differential equations
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David N. Cheban State University of Moldova Faculty of Mathematics and Informatics A. Mateevich Str. 60 MD-2009, Chisinau, Moldova email: cheban@usm.md |
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Jinqiao Duan Department of Applied Mathematics, Illinois Institute of Technology Chicago, IL 60616, USA Dept. of Mathematics, The University of Science and Technology of China Hefei 230026, China email: duan@iit.edu |
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Anatoly Gherco State University of Moldova Faculty of Mathematics and Informatics A. Mateevich Str. 60 MD-2009, Chisinau, Moldova email: gerko@usm.md |
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