Heteroclinic points of multi-dimensional dynamical systems
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2023-09-13 16:48
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CHEBAN, David, DUAN, Jinqiao, GERKO, Anatoly. Heteroclinic points of multi-dimensional dynamical systems. In: Electronic Journal of Differential Equations, 2003, vol. 2003, pp. 1-21. ISSN 1072-6691.
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Electronic Journal of Differential Equations
Volumul 2003 / 2003 / ISSN 1072-6691 /ISSNe 1550-6150

Heteroclinic points of multi-dimensional dynamical systems


Pag. 1-21

Cheban David1, Duan Jinqiao23, Gerko Anatoly1
 
1 Moldova State University,
2 Illinois Institute of Technology,
3 University of Science and Technology of China
 
 
Disponibil în IBN: 12 septembrie 2023


Rezumat

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 multidimensional non-autonomous differential equations.

Cuvinte-cheie
almost periodicity, concordance, Heteroclinic point, Limit set, Multi-dimensional differential equations, nonautonomous dynamical system, topological dynamics, transformation semigroup