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math.DS2017
The monotonicity of the apsidal angle using the theory of potential oscillators
David Rojas
In a central force system the angle between two successive passages of a body through pericenters is called the apsidal angle. In this paper we prove that for central forces of the…
math.DS2017
A criticality result for polycycles in a family of quadratic reversible centers
David Rojas, Jordi Villadelprat
We consider the family of dehomogenized Loud's centers where and we study the number of critical periodic…
math.DS2017
Bifurcation of relative equilibria generated by a circular vortex path in a circular domain
David Rojas, Pedro J. Torres
We study the passive particle transport generated by a circular vortex path in a 2D ideal flow confined in a circular domain. Taking the strength and angular velocity of the vortex…