Astronomy and Astrophysics – Astronomy
Scientific paper
Jun 2006
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006rmxac..26..173k&link_type=abstract
XI IAU Regional Latin American Meeting of Astronomy (Eds. L. Infante & M. Rubio) Revista Mexicana de Astronomía y Astrofísica (S
Astronomy and Astrophysics
Astronomy
Scientific paper
The hypothesis of implementing system dynamics as a methodological tool for the construction of mathematical models of astronomical phenomena that show feedback is proposed. These processes are described as dynamic systems because feedback loops are present in the influence relationships between the variables of the system. The feedback loops or feedback refers to the situation where variable X affects variable Y, and Y in turn affects X, producing a series of causes and effects. The interaction X - Y cannot be studied independently, only the study of both interactions as a whole will lead us to the correct results. Modelling and simulation with system dynamics can be summarized as follows: Analyze the theory and/or observations of the problem, establish the influence relationships to find the feedback and verify the dynamic nature of the system, translate the influence relationships into mathematical relationships and obtain its numerical solution under different simulation conditions. The step from influence relationships to differential equations is facilitated through a series of representations based on the correlation: state variable-rate, where the state variable expresses the evolution of the system and the rate expresses the change of the state variable. Three cases where this methodology is used were shown; in the Proton Proton Chain case the model is completely developed and the results are in accordance with the theory and observations. In the cases of the CNO cycle and the galactic evolution the authors are developing these models to verify the hypothesis aforementioned.
Barrios-Hernández C. J.
Katime O. J.
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