Limits and colimits in the variety of dynamical systems

Authors

  • Mahboobeh Mohamadhasani Hormozgan university

Keywords:

Congruence relation, colimit, extended morphism, limit, subdynamical system.

Abstract

In this paper, we prove the class of dynamical system is a variety. Also the varietyof dynamical systems can be seen as a category. Then in this area we pay attentionto some limits, colimits and their existence or lack of existence in the mentionedcategory.

References

Ahmad, K.H. (1998) Some theorems on the structure of Liapunov stable motions. Kuwait Journal of

Science 15, 15-19.

Alligood, K.T, Sauer, T.D & Yorke, J.A. (1996) CHAOS: An introduction to dynamical systems.

Springer-Verlag New York.

Awodey, S. (2006) Category theory, Clarendon Press, Oxford.

Dehghan, N.A. & Davvaz, B. (2010) Universal hyperdynamical systems. Bulletin of the Korean

Mathematical Society, 47, No.3:513-526.

Hungerford, T.W. (1974) Algebra, Springer.

Molaei, M.R. (2005) Mathematical structure based on completely simple semigroup, Hadronic Press.

Vries, J. de (1993) Elements of topological dynamics, Kluwer Academic Publishers.

Downloads

Published

09-05-2016