Non-local criteria for the existence and stability of periodic oscillations in autonomous hamiltonian systems☆

@inproceedings{Zevin1986NonlocalCF,
  title={Non-local criteria for the existence and stability of periodic oscillations in autonomous hamiltonian systems☆},
  author={Alexandr A. Zevin},
  year={1986}
}
Abstract The conditions under which single-parameter families of periodic solutions (the existence in a sufficiently small neighbourhood of the origin of coordinates follows from the Lyapunov theorem (see /1/)) can be continued in a parameter to the boundary of the given domain, in particular to a certain isoenergetic surface, are found. These conditions, which can be verified by the use of the Hessian of a Hamilton function, also ensure the orbital stability of solutions to a first… CONTINUE READING

Citations

Publications citing this paper.

Similar Papers