A multidisciplinary teaching toolsolving chaotic systemsby electrical analogy

Abstract

Ordinary differential equations represent the mathematical models of a great varietyof problems in Science and Engineering which means that two different problems areequivalent from mathematical point of view if they are formulated by the samegoverning equations; a subject that is forgotten and even not perceived by most ofstudents. Within this field of problems are those concerning with chaotic systems ofan only variable belonging to the modern theory of chaos. As a multidisciplinary toolof teaching and learning, the subject of this communication is to design networkmodels, or circuits, whose governing equation are formally equivalent to that ofchaotic system, allowing its dynamic simulation easily in suitable codes of free use.Thanks to the lineal and non-lineal electrical components contained in the libraries ofthese codes, very few and intuitive programing rules are required for the design. So,we have a multidisciplinary tool that allows the students of first course of Graduate inEngineering and Sciences to solve this kind of systems, whatever is the order ofequations, grade or type of non-linearity. An application is presented to illustrate theproposed subject