The number of limit cycles of a quintic Hamiltonian system with perturbation
نویسندگان
چکیده
We consider number of limit cycles of perturbed quintic Hamiltonian system with perturbation in the form of (2n+2m) or (2n+2m+1) degree polynomials. We show that the perturbed system has at most n + 2m limit cycles. For m = 1 and n = 1 we showed that the perturbed system can have at most one limit cycles. If m = 1 and n = 2 we give some general conditions based on coefficients of the perturbed terms for the number of existing limit cycles. M.S.C. 2000: 34C07, 34C08, 37G15, 34M50.
منابع مشابه
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