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Cyclicity of Rigid Centers on Center Manifolds of Three-dimensional systems
Published 24 Feb 2022 in math.DS and math.CA | (2202.12155v1)
Abstract: We work with polynomial three-dimensional rigid differential systems. Using the Lyapunov constants, we obtain lower bounds for the cyclicity of the known rigid centers on their center manifolds. Moreover, we obtain an example of a quadratic rigid center from which is possible to bifurcate 13 limit cycles, which is a new lower bound for three-dimensional quadratic systems.
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