Chun-gen Liu

activity

20012018

most citedMultiplicity of closed characteristics on symmetric convex hypersurfaces in

R^{2 n}

52 citations · 149 across the 18 of their papers we have counts for

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Showing 2011Show all

3 papers · 1 filter

math.DS2011★ 4 cited

Multiple brake orbits on compact convex symmetric reversible hypersurfaces in $R^{2 n}$

Duanzhi Zhang, Chungen Liu

In this paper, we prove that there exist at least $[\frac{n + 1}{2}] + 1$ geometrically distinct brake orbits on every $C^{2}$ compact convex symmetric hypersurface $\Sg$ in $R^{2 n}$ fo…

math.DS2011★ 3 cited

Existence and multiplicity of Homoclinic solutions for the second order Hamiltonian systems

Chungen Liu, Qingye Zhang

In this paper we study the existence and multiplicity of homoclinic solutions for the second order Hamiltonian system $u ¨ - L (t) u (t) + W_{u} (t, u) = 0$ , $\forall t \in R$ , by m…

math.DS2011

Infinitely many periodic solutions for second order Hamiltonian systems

Qingye Zhang, Chungen Liu

In this paper, we study the existence of infinitely many periodic solutions for second order Hamiltonian systems $u ¨ + \nabla_{u} V (t, u) = 0$ , where $V (t, u)$ is either asymptotica…

Multiple brake orbits on compact convex symmetric reversible hypersurfaces in R2n

Existence and multiplicity of Homoclinic solutions for the second order Hamiltonian systems

Infinitely many periodic solutions for second order Hamiltonian systems

Multiple brake orbits on compact convex symmetric reversible hypersurfaces in $R^{2 n}$