American Journal of Systems and Software
ISSN (Print): 2372-708X ISSN (Online): 2372-7071 Editor-in-chief: Josué-Antonio Nescolarde-Selva
Open Access
Journal Browser
Article Metrics
• 10988
Views
• 8035
Saves
• 4
Citations
• 43
Likes
Export Article
American Journal of Systems and Software. 2014, 2(6), 146-150
DOI: 10.12691/ajss-2-6-2
Open AccessArticle

### Introduction to Coding Theory for Flow Equations of Complex Systems Models

1Department of Applied Mathematics, University of Alicante, Alicante, Spain

Pub. Date: December 10, 2014

Cite this paper:
J. Nescolarde-Selva, J.L. Usó-Doménech and M. Lloret-Climent. Introduction to Coding Theory for Flow Equations of Complex Systems Models. American Journal of Systems and Software. 2014; 2(6):146-150. doi: 10.12691/ajss-2-6-2

### Abstract

The modeling of complex dynamic systems depends on the solution of a differential equations system. Some problems appear because we do not know the mathematical expressions of the said equations. Enough numerical data of the system variables are known. The authors, think that it is very important to establish a code between the different languages to let them codify and decodify information. Coding permits us to reduce the study of some objects to others. Mathematical expressions are used to model certain variables of the system are complex, so it is convenient to define an alphabet code determining the correspondence between these equations and words in the alphabet. In this paper the authors begin with the introduction to the coding and decoding of complex structural systems modeling.

This work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

### References:

 [1] Sastre-Vazquez, P., Usó-Domènech, J.L, Villacampa, Y., Mateu, J. and Salvador, P. 1999. Statistical Linguistic Laws in Ecological Models. Cybernetics and Systems: An International Journal. Vol 30. 8. 697-724. [2] Sastre-Vazquez, P., Usó-Domènech, J.L. and Mateu, J. 2000. Adaptation of linguistics laws to ecological models. Kybernetes. 29 (9/10). 1306-1323. [3] Usó-Domènech, J.L., Villacampa, Y., Stübing, G., Karjalainen, T. & Ramo, M.P. 1995. MARIOLA: a model for calculating the response of mediterranean bush ecosystem to climatic variations. Ecological Modelling. 80, 113-129. [4] Usó-Domènech, J. L., Mateu, J and J.A. Lopez. 1997. Mathematical and Statistical formulation of an ecological model with applications. Ecological Modelling. 101, 27-40. [5] Usó-Domènech, J.L. and Villacampa, Y. 2001. Semantics of Complex Structural Systems: Presentation and Representation. A synchronic vision of language L (MT). Int. Journal of General Systems. 30 (4). 479-501. [6] Usó-Domènech, J.L, Sastre-Vazquez, P. Mateu, J. 2001. Syntax and First Entropic Approximation of L (MT): A Language for Ecological Modelling. Kybernetes. 30 (9/10). 1304-1318. [7] Usó-Domènech, J.L and Sastre-Vazquez, P. 2002. Semantics of L (MT): A Language for Ecological Modelling. Kybernetes 31 (3/4), 561-576. [8] Usó-Domènech, J.L., Vives Maciá, F. and Mateu. J.. 2006a. Regular grammars of L (MT): a language for ecological systems modelling (I) –part I. Kybernetes 35 nº6, 837-850. [9] Usó-Domènech, J.L., Vives Maciá, F. and Mateu. J.. 2006b. Regular grammars of L (MT): a language for ecological systems modelling (II) –part II. Kybernetes 35 (9/10), 1137-1150. [10] Usó-Doménech, J. L., Nescolarde-Selva, J. 2014. Disipation Functions of Flow Equations in Models of Complex Systems. American Journal of Systems and Software. 2 (4), pp. 101-107 [11] Usó-Doménech, J. LL., Nescolarde-Selva, J., Lloret-Climent, M. 2014a. Behaviours, Processes and Probabilistic Environmental Functions in H-Open Systems. American Journal of Systems and Software. 2 (3), pp. 65-71. [12] Usó-Doménech, J. L., Nescolarde-Selva, J., Lloret-Climent, M. 2014b. Saint Mathew Law and Bonini Paradox in Textual Theory of Complex Models. American Journal of Systems and Software. 2 (4), pp. 89-93. [13] Usó-Doménech, J. L., Nescolarde-Selva, J., Lloret-Climent, M. and González-Franco, L. 2014. Diversity for Texts Builds in Language L (MT): Indexes Based in Theory of Information. American Journal of Systems and Software, 2 (5). pp. 113-120 [14] Villacampa, Y., Usó-Domènech, J.L., Mateu, J. Vives, F. and Sastre, P. 1999. Generative and Recognoscitive Grammars in Ecological Models. Ecological Modelling. 117, 315-332. [15] Villacampa, Y. and Usó-Domènech, J.L. 1999. Mathematical Models of Complex Structural systems. A Linguistic Vision. Int. Journal of General Systems. Vol 28, no 1, 37-52. [16] Villacampa-Esteve, Y., Usó-Domènech, J.L., Castro-Lopez-M, A. and P. Sastre-Vazquez. 1999. A Text Theory of Ecological Models. Cybernetics and Systems: An International Journal. Vol 30, 7.587-607. [17] Forrester, J.W., 1961. Industrial Dynamics. MIT Press, Cambridge, MA. [18] Jörgensen, S.E., 1988. Fundamentals of Ecological Modelling. Developments in Environmental Modelling 9. Elsevier, Amsterdam. [19] Abramson, N. 1981. Teoria de la Codificación y la Información. Ed Paraninfo. Madrid. (In Spanish) [20] Davis, M.D. and Weyuker, E.J, 1983. Computability, Complexity and Languages. Academic Press. [21] Yablosnsky, S.V. 1989. Introduction to Discrete Mathematics. Ed Mir. Moscou.