Salih Aytar
Suleyman Demirel University, Turkey
Sergey Kobyakov
St. Petersburg State Technical University, Russia
George Osipenko
St. Petersburg State Technical University, Russia
Let {Q1, Q2, Q3,...} be chain recurrent set components of a dynamical system. A connection Qi→Qj is said to exist if there is a point x such that α - limit set of x is in Qi and ω - limit set of x is in Qj. Let the matrix S=(sij) be such that sij=1 if there is the connection Qi→Qj, sii=1 and sij=0 in other case. The matrix S is named the structure matrix of dynamical system f. By the definition, the structure matrix is a topological invariant. The main result: If the dynamical system has a finite number of chain recurrent components with the stable connections then there exist a finite algorithm for construction of the structure matrix.