Given a compact connected component of zeros of a vector field, we give a necessary condition for its asymptotic stability in terms of its index and Euler characteristic.
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Paper provided by Universite catholique de Louvain - Center for Operations Research and Economics (CORE) in its series Papers with number
2000/18.
Length: 5 pages Date of creation: 2000 Date of revision: Handle: RePEc:fth:louvco:2000/18
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Find related papers by JEL classification: C60 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - General C62 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Existence and Stability Conditions of Equilibrium
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