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math.DS2020
Infinitesimal Center Problem on zero cycles and the composition conjecture
A. Álvarez, J. L. Bravo, C. Christopher +1
We study the analogue of the classical infinitesimal center problem in the plane, but for zero cycles. We define the displacement function in this context and prove that it is iden…
math.DS2020
Poincaré compactification for non-polynomial vector fields
José Luis Bravo, Manuel Fernández, Antonio E. Teruel
In this work a theorical framework to apply the Poincaré compactification technique to locally Lipschitz continuous vector fields is developed. It is proved that these vectors fiel…