Electronic Journal of Differential Equations, Vol. 2003(2003), No. 41, pp. 1-21. Title: Heteroclinic points of multi-dimensional dynamical systems Authors: David Cheban (State Univ. of Moldova) Jinqiao Duan (Illinois Inst. of Technology, Chicago, USA) Anatoly Gherco (State Univ. of Moldova) 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