Syntactic and Semantic Relationships in Models of Complex Systems: An Ecological Case

José Luis Usó-Doménech¹, Josué-Antonio Nescolarde-Selva^1, and Miguel Lloret-Climent¹

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

Cite this paper:
José Luis Usó-Doménech, Josué-Antonio Nescolarde-Selva and Miguel Lloret-Climent. Syntactic and Semantic Relationships in Models of Complex Systems: An Ecological Case. American Journal of Systems and Software. 2015; 3(4):73-82. doi: 10.12691/ajss-3-4-1

Abstract

In this paper, the authors extend and generalize the methodology based on the dynamics of systems with the use of differential equations as equations of state, allowing that first order transformed functions not only apply to the primitive or original variables, but also doing so to more complex expressions derived from them, and extending the rules that determine the generation of transformed superior to zero order (variable or primitive). Also, it is demonstrated that for all models of complex reality, there exists a complex model from the syntactic and semantic point of view. The theory is exemplified with a concrete model: MARIOLA model.

Keywords:
complex system flow equations mathematical model seme sememe state equations transformed function

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References:

[1]	Hoffmeyer,J. 1996. “The global semiosphere”. In: Semiotics Around the World: Synthesis in Diversity. Proc. Fifth Congress Int. Assoc. Semiotic studies, Berkeley, California ,June 13-18.
[2]	Markushevich, A. 1978. Teoría de las funciones Analíticas. Vol I. Editorial Mir. Moscow. (In Spanish, ranslated from Russian).
[3]	Nescolarde-Selva, J. and Usó-Doménech, J. L 2013b. Topological Structures of Complex Belief Systems (II): Textual Materialization. Complexity. Vol. 19, 2. 50-62.
[4]	Nescolarde-Selva, J. and Usó-Domènech, J. L. 2014a. Semiotic Vision of Ideologies. Foundations of Science. Vol .19, 3. pp. 263-282.
[5]	Nescolarde-Selva, J. A. And Usó-Doménech, J. L. 2014b Reality, System and Impure Systems. Foundations of Science. Vol. 19, 3. pp. 289-306.
[6]	Nescolarde-Selva, J.; Usó-Doménech, J. L.; Lloret-Climent, M. 2014. Introduction to coding theory for flow equations of complex systems models. American Journal of Systems and Software. 2(6). pp. 146-150.
[7]	Nescolarde-Selva, J.; Usó-Doménech, J.L.; Lloret- Climent, M.; González-Franco, L. 2015. Chebanov law and Vakar formula in mathematical models of complex systems. Ecological Complexity. 21. pp. 27-33
[8]	Pottier, B. 1967. Présentation de la linguistique, fondements d’une théorie. Klincksieck. Paris. (In French).
[9]	Trier, J. 1931. Der Deustche Wortschatz im Sinnbezirk des Verstandes. Carl Winter. Heidelberg. (In German).
[10]	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.
[11]	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.
[12]	Usó-Domènech, J.L., Villacampa, Y., Mateu, J., and Sastre-Vazquez, P. 2000. “Uncertainty and Complementary Principles in Flow Equations of Ecological Models”. Cybernetics and Systems: an International Journal, 31(2), p 137-160.
[13]	Usó-Doménech, J. L., Nescolarde-Selva, J., Lloret-Climent, M. 2014. Saint Mathew Law and Bonini Paradox in Textual Theory of Complex Models. American Journal of Systems and Software.2 (4), pp. 89-93.
[14]	Usó-Doménech, J. L., Nescolarde-Selva, J. 2014. Dissipation Functions of Flow Equations in Models of Complex Systems. American Journal of Systems and Software. 2 (4), pp. 101-107
[15]	Usó-Doménech, J. L.; Nescolarde-Selva, J.; Lloret-Climent, M.; 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.