Geodesic
Global Stability Determined by Local Properties and the First Variation
Canadian mathematical bulletin, Tome 9 (1966) no. 1, pp. 89-94

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In this note we consider a system of autonomous differential equations 1.1 where f: En → En is a continuously differentials Le mapping for n ≥ 2. We shall assume that f(0) = 0 and that the origin is locally asymptotically stable. 
Datko, R. Global Stability Determined by Local Properties and the First Variation. Canadian mathematical bulletin, Tome 9 (1966) no. 1, pp. 89-94. doi: 10.4153/CMB-1966-012-0
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     title = {Global {Stability} {Determined} by {Local} {Properties} and the {First} {Variation}},
     journal = {Canadian mathematical bulletin},
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     year = {1966},
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