On the periodic orbits of perturbed Hooke Hamiltonian systems with three degrees of freedom

نویسندگان

  • Jaume Llibre
  • Luis Fernando Mello
چکیده

We study periodic orbits of Hamiltonian differential systems with three degrees of freedom using the averaging theory. We have chosen the classical integrable Hamiltonian system with the Hooke potential and we study periodic orbits which bifurcate from the periodic orbits of the integrable system perturbed with a non–autonomous potential.

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تاریخ انتشار 2015