| [1] Yeh Yen-chien.The Theory of Limit Cycles,Shanghai Science and Technology Press,Shanghai(1984).(in Chinese).
[2] Zhang Zhi-fen.et al.,The Gualitative Theory of Differential Equations,Science Press,Beijing(1985).(in Chinese).
[3] Huang Qi-chang and Shi Xi-fu.On the conditions for the existence of limit cycles of Liénard equation.Kexue Tongbao,27.11(1982).645-646.(in Chinese).
[4] Ding Da-zheng.The existence of limit cycles of Liénard equation,Acta Math.Appl.Sinca,7,2(1984).166-174(in Chinese).
[5] Dragileov.A.V.,Periodic solutions of the differential equation of nonlinear oscillations.Prikl.Mat.i Mech.,16(1952).85-88.(in Russian).
[6] Huang Ke-cheng.On the existence of limit cycles of the system (dx)/(dt)=h(y)-F(x),(dy)/(dt)=-g(x).Acta Math.Sinica,23,4(1980).483-490.(in Chinese).
[7] Huang Qi-chang and Yang Si-ren.Conditions for existence of multiple limit cycles of Liénardequations with alternating damping,J.Northeast Normal University,1(1981),11-19.(in Chinese).
[8] Voilokov,M.I.,Sufficient conditions for the existence of exactly n limit cycles for the system (dx)/(dt)=y,(dy)/(dt)=F(y)-x Mat.Sbornik,44,86(1958),235-244.(in Russian).
[9] Neumann.D.A.and L.D.Sabbagh,Periodic solutions of Lienard systems.J.Math.Anal.Appl.,62,1(1978),148-156.
[10] Comstock,C.,On the limit cycles of ÿ十ηFý十y=0,J.Diff.Eqs.,7-8(1970),173-179.
[11] Wu Kui-guang,The existence of limit cycles of nonlinear equations,Acta Math.Sinica,25,4(1982),456-463.(in Chinese).
[12] Reichikov,G.S.,Certain criteria for the presence and absence of limit cycles in a dynamical system of second order.Sibirsk.Mat.,7,6(1966),1425-1431.(in Russian).
[13] Zhang Zhi-fen,On the existence of at least n limit cycles in one type of nonlinear differential equations,Acta Scientiarum,Naturalium.Universitatis Pekinensis,1(1982),34-43.(in Chinese) |
Email Alert
RSS