17 research outputs found
Parallelization of the Lyapunov constants and cyclicity for centers of planar polynomial vector fields
Planar nonautonomous polynomial equations II : coinciding sectors
AbstractWe give a few sufficient conditions for the existence of periodic solutions of the equation z˙=∑j=0naj(t)zj where aj's are complex-valued. We prove the existence of one up to two periodic solutions and heteroclinic ones
Evaluating Generating Functions for Periodic Multiple Polylogarithms via Rational Chen-Fliess Series
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