Bifurcations of Limit Cycles from Cubic Hamiltonian Systems with a Center and a Homoclinic Saddle-loop
نویسندگان
چکیده
It is proved in this paper that the maximum number of limit cycles of system { dx dt = y, dy dt = kx− (k + 1)x2 + x3 + (α + βx + γx2)y is equal to two in the finite plane, where k > 11+ √ 33 4 , 0 < | | 1, |α| + |β| + |γ| = 0. This is partial answer to the seventh question in [2], posed by Arnold.
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