4 citations · 9 across the 6 of their papers we have counts for
6 papers
Odd index of the amended potential implies linear instability
Yanxia Deng, Shuqiang Zhu
For a relative equilibrium of a symmetric simple mechanical system, if the Morse index of the corresponding amended potential is odd, whether the nullity is zero or not, it is line…
Action and periodic orbits on annulus
Yanxia Deng, Zhihong Xia
We consider the classical problem of area-preserving maps on annulus . Let be the set of all invariant probability measures of an a…
Global existence and singularity of the Hill's type lunar problem with strong potential
Yanxia Deng, Slim Ibrahim
We characterize the fate of the solutions of Hill's type lunar problem using the ideas of ground states from PDE. In particular, the relative equilibrium will be defined as the gro…
Numerical investigation on the Hill's type lunar problem with homogeneous potential
Yanxia Deng, Slim Ibrahim, Euaggelos E. Zotos
We consider the planar Hill's lunar problem with a homogeneous gravitational potential. The investigation of the system is twofold. First, the starting conditions of the trajectori…
Global Existence and Singularity of the N-body Problem with Strong Force
Yanxia Deng, Slim Ibrahim
We use the idea of ground states and excited states in nonlinear dispersive equations (e.g. Klein-Gordon and Schrödinger equations) to characterize solutions in the N-body problem…
Stability of Periodic Orbits by Conley-Zehnder index theory
Yanxia Deng, Daniel Offin
We give a necessary and sufficient condition for strong stability of low dimensional Hamiltonian systems, in terms of the iterates of a closed orbit and the Conley-Zehnder index. A…