On the stability of equilibria of Hamiltonian systems near the main resonances

Details On the stability of equilibria of Hamiltonian systems near the main resonances On the stability of equilibria of Hamiltonian systems near the main resonances

Jun 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984cemec..33..159s&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 33, June 1984, p. 159-167.

Other

Equilibrium Methods, Hamiltonian Functions, Linear Systems, Systems Stability, Celestial Mechanics, Degrees Of Freedom, Perturbation Theory, Resonance

Scientific paper

The equilibrium point O of an autonomous Hamiltonian system of two degrees of freedom is considered for small-oscillation frequencies related as ω2 = 2ω1+ɛ. If under the precise resonance (ɛ = 0) the equilibrium is unstable, the inner diameter η(ɛ) of the domain of stability containing the point O is estimated. It is shown that for the normalized variables η(ɛ) ≤ ɛ/b where b is the corresponding resonance coefficient. The estimates of η(ɛ) for other main resonances are reported.

Affiliated with

Also associated with

No associations

Rating

On the stability of equilibria of Hamiltonian systems near the main resonances does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the stability of equilibria of Hamiltonian systems near the main resonances, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the stability of equilibria of Hamiltonian systems near the main resonances will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1853375