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MONODROMY AND STABILITY FOR NILPOTENT CRITICAL POINTS
https://doi.org/10.1142/S0218127405012740Cited by:64
Abstract
We give a new and short proof of the characterization of monodromic nilpotent critical points. We also calculate the first generalized Lyapunov constants in order to solve the stability problem. We apply the results to several families of planar systems obtaining necessary and sufficient conditions for having a center. Our method also allows us to generate limit cycles from the origin.
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