Aracil, Javier with Miguel Toro, "Generic Qualitative Behavior of Elementary System Dynamics Structures", 1989

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In this paper we will assume that the qualitative information about a given concrete system comprises no numerical information beyond the signs of the influences, the relative value of these influences and the classification of the variables in a system as levels, rates and auxiliaries. With this information we try to get as much knowledge as possible on the behavior modes of the system, in the concrete meaning given to behavior mode in the qualitative theory of nonlinear dynamical systems.Our aim is to explore how the formal qualitative analysis techniques, based on the second of the above senses of qualitative, can be used to solve the kind of questions suggested by the first of the uses. In this way a synthesis of both senses can be reached.The results here reported are still in a work progress stage. For instance, a computer implementation of them is being developed. However we think that they are interesting enough to deserve publication.

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  • 1989
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