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Qualitative superposition. (English) Zbl 0764.34007

In practical applications, the study of systems of nonlinear ODE’s is often approximated by a set of their values and a qualitative statement about the derivatives on typical points of time called the history record. The author investigates the assumptions that are to be made in order to allow for an additive superposition of such records, as it is well known for linear systems. Special attention is drawn to the question of incorporating these techniques in reasoning mechanisms in the framework of artificial intelligence. Application to a medical problem – - monitoring of patients in intensive care units — is announced.
Reviewer: R.Repges (Aachen)

MSC:

34A34 Nonlinear ordinary differential equations and systems
37-XX Dynamical systems and ergodic theory
92C99 Physiological, cellular and medical topics
68U20 Simulation (MSC2010)
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References:

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