Article Contents
Article Contents

# Evaluating cyclicity of cubic systems with algorithms of computational algebra

• We describe an algorithmic approach to studying limit cycle bifurcations in a neighborhood of an elementary center or focus of a polynomial system. Using it we obtain an upper bound for cyclicity of a family of cubic systems. Then using a theorem by Christopher [3] we study bifurcation of limit cycles from each component of the center variety. We obtain also the sharp bound for the cyclicity of a generic time-reversible cubic system.
Mathematics Subject Classification: Primary: 34C07; Secondary: 34C23.

 Citation:

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