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Elliptic integrals and limit cycles
Published online by Cambridge University Press: 17 April 2009
Extract
By using zeros of elliptic integrals we establish an upper bound for the number of limit cycles that emerge from the period annulus of the Hamiltonian XH in the system Xε = XH + ε(P, Q), where H = y2 + x4 and P, Q are polynomials in x, y, as a function of the degrees of P and Q. In particular, if (P, Q) = , with N = 2k + 1 or 2k + 2, this upper bound is k − 1.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 48 , Issue 2 , October 1993 , pp. 195 - 200
- Copyright
- Copyright © Australian Mathematical Society 1993
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