Stability and motion in two degree-of-freedom hamiltonian systems for two-to-one commensurability

abstract

• The two time variable method is used to investigate the stability of and the motion about the equilibrium point of an autonomous Hamiltonian system of two degrees of freedom when the Hamiltonian H is indefinite and the relation between the frequencies 1 and 2 of the linearized system is 1 22. Also, the conditions for periodic orbits and the stability of these orbits are obtained. 1971 D. Reidel Publishing Company.

authors

• Alfriend, Terry

published proceedings

• Celestial Mechanics and Dynamical Astronomy

author list (cited authors)

• Alfriend, K. T.

citation count

• 12

complete list of authors

• Alfriend, KT

publication date

• June 1971

publisher

• Springer Nature  Publisher

published in

• Celestial Mechanics and Dynamical Astronomy  Journal

Digital Object Identifier (DOI)

• 10.1007/bf01228038

start page

• 247

end page

• 265

volume

• 3

issue

• 2

URL

• http%3A%2F%2Fdx.doi.org%2F10.1007%2Fbf01228038