Periodic and quasi periodic solutions of a four erential system describing the motion of vortices

HIGHLIGHTS

• who: Zaitao Liang and collaborators from the In this article, we consider a four-dimensional singular differential system (11), which can describe the dynamics of configurations bearing a small number of vortices in atomic Bose-Einstein condensates. By introducing some new variables, the system (1.1) is equivalent to the radially symmetric system (2.1). Based on topological degree theory and some analysis methods, we obtained some results on the existence and multiplicity of periodic and quasi-periodic solutions of the system (2.1). Besides the existence, we also obtain some dynamics properties of these solutions. Detailed . . .
  

   

  

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