Int J of Bifurcation and Chaos 23(5): 13500788, 2013. PMCID: PMC3957494
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Abstract
We obtain necessary and sufficient conditions for the existence of a center on a local center manifold for three 4-parameter families of quadratic systems on ℝ3. We also give a positive answer to an open question posed in [Dias & Mello, 2010] related to similar systems.