MORSE THEORY AND LYAPUNOV STABILITY ON MANIFOLDS

E. Moulay

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MORSE THEORY AND LYAPUNOV STABILITY ON MANIFOLDS

机译：流形上的摩尔斯理论和Lyapunov稳定性

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The aim of this article is to recall the main theorems of Morse theory and to infer some corollaries for the problem of Lyapunov stability on manifolds. It makes a link between Morse theory and the general theory of the Lyapunov stability for dynamical systems.

机译：本文旨在回顾摩尔斯理论的主要定理，并为流形上的Lyapunov稳定性问题推论一些推论。它在动力系统的Morse理论和Lyapunov稳定性的一般理论之间建立了联系。

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《Journal of Mathematical Sciences》 |2011年第3期|p.419-425|共7页
作者
E. Moulay;
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Xlim (UMR-CNRS 6172) - Departement SIC Universite de Poitiers - Bat. SP2MI Bvd Marie et Pierre Curie - BP 30179 86962 Futuroscope Chasseneuil Cedex - France;

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MORSE THEORY AND LYAPUNOV STABILITY ON MANIFOLDS

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