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Aubin, J.-P. (1992). Dynamical Qualitative Simulation. IIASA Working Paper. IIASA, Laxenburg, Austria: WP-92-061
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Abstract
The purpose of this paper is to revisit the QSIM algorithm introduced by Kuipers in qualitative physics for studying the qualitative evolution of solutions to a differential equation using techniques of set-valued analysis and viability theory. It describes Dordan's software. It operates on a class of differential equations called "replicator systems", which play an important role in biochemistry and biology. This software provides the monotonic cells and draws them on the screen of the computer for three-dimensional systems (the state subset being the probability simplex). It also supplies symbolically the transitions from one monotonic cell to the other ones. It also provides a LaTeX report providing the list of qualitative cells, singling out qualitative equilibria and describing the discrete dynamical system.
| Item Type: | Monograph (IIASA Working Paper) |
|---|---|
| Research Programs: | System and Decision Sciences - Core (SDS) |
| Depositing User: | IIASA Import |
| Date Deposited: | 15 Jan 2016 02:01 |
| Last Modified: | 27 Aug 2021 17:14 |
| URI: | https://pure.iiasa.ac.at/3638 |
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