Markus–Yamabe conjecture

id: markus-yamabe-conjecture-248-8051369
title: Markus–Yamabe conjecture
text: In mathematics, the Markus–Yamabe conjecture is a conjecture on global asymptotic stability. If the Jacobian matrix of a dynamical system at a fixed point is Hurwitz, then the fixed point is asymptotically stable. Markus-Yamabe conjecture asks if a similar result holds globally. Precisely, the conjecture states that if a continuously differentiable map on an n -dimensional real vector space has a fixed point, and its Jacobian matrix is everywhere Hurwitz, then the fixed point is globally stable.
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original url: https://en.wikipedia.org/wiki/Markus%E2%80%93Yamabe_conjecture
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date modified: 2024-01-05T11:30:18Z
main entity: {"identifier":"Q6771536","url":"https://www.wikidata.org/entity/Q6771536"}
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