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International Conference on Mathematical Modeling and Scientific Computing
April 2-6, 2001
Middle East Technical University and Selcuk University
Ankara and Konya, Turkey

Organizers
F. Bornemann (Munich University of Tecnology, Germany), H. Bulgak (Selcuk University, Konya, Turkey), V. Ganzha (Munich University of Technology, Germany), B. Karasozen (METU, Ankara, Turkey), A. Sinan (Selcuk University, Konya, Turkey), C. Zenger (Munich University of Technology, Germany)

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The structure matrix of dynamical system
by
Salih Aytar
Department of Mathematics, Suleyman Demirel University, Turkey
Coauthors: George Osipenko (Department of Mathematics, Suleyman Demirel University and Nonlinear Analysis and Mathematical Modeling Laboratory, St, Petersburg University, Russia)

Let { Q1, Q2, Q3, ...} be chain recurrent set components of a dynamical system f:M --> M. The matrix \Pi = ( \piij) is such that \piij=1 if there is a trajectory starting at Qi and finishing at Qj, and \piij=0 in other case. The matrix is named the structure matrix of dynamical system f. The paper gives an algorithm for construction of the structure matrix of dynamical system with finite number of chain recurrent components.

Date received: March 21, 2001

Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cagk-92.