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- W2113441573 abstract "This paper defines a solution manifold and a stable submanifold for a system of differential equations. Although we eventually work in the smooth topos, the first two sections do not mention topos theory and should be of interest to non-topos theorists. The paper characterizes solutions in terms of barriers to growth and defines solutions in what are called filter rings (characterized as C ∞ -reduced rings in a paper of Moerdijk and Reyes). We examine standardization, stabilization, perturbation, change of variables, non-standard solutions, strange attractors and cycles at infinity." @default.
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- W2113441573 date "2000-01-01" @default.
- W2113441573 modified "2023-09-24" @default.
- W2113441573 title "SOLUTION MANIFOLDS FOR SYSTEMS OF DIFFERENTIAL EQUATIONS" @default.
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