Stability and Geometry of Third-Order Resonances in Four-Dimensional Symplectic Mappings

Details Stability and Geometry of Third-Order Resonances in Four-Dimensional Symplectic Mappings Stability and Geometry of Third-Order Resonances in Four-Dimensional Symplectic Mappings

Mar 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997cemda..67..181g&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 67, Issue 3, pp.181-204

Astronomy and Astrophysics

Astronomy

Hamiltonian Systems, Symplectic Mappings, Normal Forms, Resonances, Stability, Three Degrees Of Freedom

Scientific paper

We analyze four-dimensional symplectic mappings in the neighbourhood of an elliptic fixed point whose eigenvalues are close to satisfy a third-order resonance. Using the perturbative tools of resonant normal forms, the geometry of the orbits and the existence of elliptic or hyperbolic one-dimensional tori (fixed lines) is worked out. This allows one to give an analytical estimate of the stability domain when the resonance is unstable. A comparison with numerical results for the four-dimensional Hénon mapping is given.

Affiliated with

Also associated with

No associations

Rating

Stability and Geometry of Third-Order Resonances in Four-Dimensional Symplectic Mappings 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 Stability and Geometry of Third-Order Resonances in Four-Dimensional Symplectic Mappings, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stability and Geometry of Third-Order Resonances in Four-Dimensional Symplectic Mappings will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1859849