Abstract

GONZALEZ MULET, Yunet; MORENO LEMUS, Noel  and  MORENO LEMUS, Edel. Methodology for stability analysis in N-Dimensional equations systems. RCIM [online]. 2016, vol.8, suppl.1, pp. 515-525. ISSN 1684-1859.

The analysis of the stability that present the systems when being in front of certain variations of the initial conditions and the parameters that it characterize, it is today one of the important studies that carried out to the dynamic systems. The existent methods until the moment don't allow making this analysis in more than a time series at the same time, because in general they annul the ability to gather in oneself study the possibility to verify how they influence the variations. That´s the reason why the present work has the purpose of to put in the investigator's hands a methodology that allows to study the stability of the Systems of n-dimensional Differential Equations, regarding the variation of the parameters of the same one and to interpret the obtained results. Specifically like essential part of the methodology was used the function lyapunov developed inside the mathematical assistant Matlab and for the analysis of those results the technique of Datamining was included: Trees of Decision, also wanting to have results in the smallest possible time, one worked with the Platform of Tasks Distributed T-arenal. The methodology was applied to a case of study reported in the literature and one was proven that it was obtained the same classification of stability or uncertainty. On the other hand, when carrying out the analysis in a quantity of time series, the time in that the result was obtained was considerably small, concerning its complexity.

Keywords : time series; stability; exponent of Lyapunov.

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