A note on a global stability theorem of M. W. Hirsch

Jiang, Ji Fa

doi:10.1090/S0002-9939-1991-1043411-0

A note on a global stability theorem of M. W. Hirsch
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by Ji Fa Jiang

Proc. Amer. Math. Soc. 112 (1991), 803-806

DOI: https://doi.org/10.1090/S0002-9939-1991-1043411-0

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Abstract:

For a $3$-dimensional cooperative vector field $F$, we present a new global stability result which is the same as that of Hirsch [4] except that we do not assume that $\operatorname {Div} F \leq 0$ or that the equilibrium is stable. Thus we solve the "interesting problem" pointed out by Hirsch [4].

References

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