Qualitative Simulation of Differential Equations

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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/3236 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/3236 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/3236 archive 351 disk0/00/00/31/90 2016-01-15 01:59:11 2021-08-27 17:13:23 2016-01-15 01:59:11 monograph show 2 Aubin J.-P. 7347 Qualitative Simulation of Differential Equations pub iis_met prog_sds This paper deals with the QSIM algorithm introduced by Kuipers to track down the changes of monotonicity properties of solutions to a differential equation or other observations of the solutions. It introduces the concept of "qualitative cells" where the monotonicity properties of the states of the system remain the same. It provides sufficient conditions for the non-emptiness of such cells, for their singularities, for the transition from one cell to another, and characterizes also the qualitative equilibria and repellors of the associated qualitative system. 1988-03 published WP-88-015 WP-88-015 10 1134 public working_paper IIASA, Laxenburg, Austria 23 FALSE info:eu-repo/semantics/book