3 papers
math.DS2021
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…
math.DS2021
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…
math.CA2019
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…