an:05631886
Zbl 1199.34163
Zou, Lan; Chen, Xingwu
Center conditions for polynomial Li??nard equation
EN
J. Sichuan Univ., Nat. Sci. Ed. 45, No. 5, 1051-1056 (2008).
00255456
2008
j
34C05 34C07
Li??nard equation; non-degenerate center; pseudo division
Summary: Necessary and sufficient conditions are studied for the coefficients of the polynomials \(f (x)\) and \(g (x)\) such that the Li??nard equation \(\ddot{x}+f (x)\dot{x}+g (x)=0\) has non-degenerate centers. An algorithm to calculate the center conditions is presented.