Now showing items 1-3 of 3

    • Integrable zero-Hopf singularities and 3-dimensional centers 

      García, I. A. (Isaac A.) (2018-01-25)
      In this paper we show that the well-known Poincaré-Lyapunov nondegenerate analytic center problem in the plane and its higher dimensional version expressed as the 3-dimensional center problem at the zero-Hopf singularity ...
    • The three-dimensional center problem for the zero-Hopf singularity 

      García, I. A. (Isaac A.); Valls, Claudia (American Institute of Mathematical Sciences, 2016-03-01)
      In this work we extend well-known techniques for solving the Poincar\'e-Lyapunov nondegenerate analytic center problem in the plane to the 3-dimensional center problem at the zero-Hopf singularity. Thus we characterize the ...
    • Zero-Hopf polynomial centers of third-order differential equations 

      García, I. A. (Isaac A.); Valls, Claudia (Springer Science+Business Media New York, 2016-11-15)
      We study the 3-dimensional center problem at the zero-Hopf singularity in some families of polynomial vector fields arising from third-order polynomial differential equations. After proving some general properties we check ...