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NEW STUDY ON THE CENTER PROBLEM AND BIFURCATIONS OF LIMIT CYCLES FOR THE LYAPUNOV SYSTEM (I)
https://doi.org/10.1142/S0218127409025110Cited by:27
Abstract
The center problem and bifurcations of limit cycles for the planar dynamical system with double zero eigenvalues are studied. The concepts of focal values and Lyapunov constants as well as their computational method are given. As an example, for a class of cubic system, the corresponding results are obtained.
This research was partially supported by the National Natural Science Foundation of China (10671179 and 10771196).
Keywords:
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