The consistency, the composition and the causality of the asynchronous flows

  • Serban Vlad Oradea City Hall, piata Unirii Nr. 1, 410100, Oradea, Romania
Keywords: consistency; composition; causality; asynchronous flow; asynchronous circuit

Abstract

Let ϕ : {0,1}n → {0,1}n the asynchronous flows are (discrete time and real time) functions that result by iterating the coordinates ϕi  ∈ {1,....,n} independently on each other. The purpose of the paper is that of showing that the asychronous flows fulfill the properties of consistency, composition and causality that define the dynamical systems. The origin of the problem consists in modeling the asynchronous circuits from the digital electrical engineering.

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References

D. V. Anosov, V. I. Arnold (Eds.), Dynamical systems I., Springer Verlag 1988 (Encyclopedia of Mathematical Sciences, Vol. 1).

D. K. Arrowsmith, C. M. Place, An introduction to dynamical systems, Cambridge University Press, 1990.

Michael Brin, Garrett Stuck, Introduction to dynamical systems, Cambridge University Press, 2002.

Robert L. Devaney, A Örst course in chaotic dynamical systems. Theory and experiment, Perseus Books Publishing, 1992.

Robert W. Easton, Geometric methods in discrete dynamical systems, Oxford University Press, 1998.

Boris Hasselblatt, Anatole Katok, Handbook of dynamical systems, Volume 1, Elsevier, 2005. 12.

Richard A. Holmgren, A rst course in discrete dynamical systems, Springer-Verlag, 1994.

Jurgen Jost, Dynamical systems. Examples of complex behaviour,

Springer-Verlag, 2005.

R. E. Kalman, P. L. Falb, M. A. Arbib, Teoria sistemelor dinamice, Editura tehnica, 1975.

Serban E. Vlad, The decomposition of the regular asynchronous systems as parallel connection of regular asynchronous systems, the Proceedings of ICTAMI, Alba Iulia, September 3-6, 2009.

Serban E. Vlad, On the serial connection of the regular asynchronous systems, ROMAI Journal, Vol. 7, Nr. 2, 2011, pp. 181-188

Serban E. Vlad, Asynchronous systems theory, second edition, LAP LAMBERT Academic Publishing, 2012.

Published
2015-04-20
How to Cite
Vlad, S. (2015). The consistency, the composition and the causality of the asynchronous flows. Journal of Progressive Research in Mathematics, 3(2), 152-160. Retrieved from http://scitecresearch.com/journals/index.php/jprm/article/view/97
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Articles