The Evolution of the Stable and Unstable Manifold of an Equilibrium Point

Details The Evolution of the Stable and Unstable Manifold of an Equilibrium Point The Evolution of the Stable and Unstable Manifold of an Equilibrium Point

Mar 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998cemda..70..159m&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, v. 70, Issue 3, p. 159-165 (1998).

Astronomy and Astrophysics

Astronomy

3

Stable Manifold, Bifurcation, Restricted Three-Body Problem, Str&Ouml, Mgren'S Conjecture, Restricted Three&Hyphen, Body Problem.

Scientific paper

We consider the evolution of the stable and unstable manifolds of an equilibrium point of a Hamiltonian system of two degrees of freedom which depends on a parameter,ν. The eigenvalues of the linearized system are complex for ν < 0 and purely imaginary for ν > 0. Thus for ν < 0 the equilibrium has a two-dimensional stable manifold and a two-dimensional unstable manifold, but for ν > 0 these stable and unstable manifolds are gone. We study the system defined by the truncated generic normal form in this situation.

Affiliated with

Also associated with

No associations

Rating

The Evolution of the Stable and Unstable Manifold of an Equilibrium Point 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 The Evolution of the Stable and Unstable Manifold of an Equilibrium Point, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Evolution of the Stable and Unstable Manifold of an Equilibrium Point will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1657748