Virtual turning points and bifurcation of Stokes curves for higher order ordinary differential equations

Details Virtual turning points and bifurcation of Stokes curves for higher order ordinary differential equations Virtual turning points and bifurcation of Stokes curves for higher order ordinary differential equations

2004-09-02

arxiv.org/abs/math-ph/0409005v1

Physics

Mathematical Physics

7 pages, 4 figures

Scientific paper

10.1088/0305-4470/38/15/007

For a higher order linear ordinary differential operator P, its Stokes curve bifurcates in general when it hits another turning point of P. This phenomenon is most neatly understandable by taking into account Stokes curves emanating from virtual turning points, together with those from ordinary turning points. This understanding of the bifurcation of a Stokes curve plays an important role in resolving a paradox recently found in the Noumi-Yamada system, a system of linear differential equations associated with the fourth Painleve equation.

Affiliated with

Also associated with

No associations

Rating

Virtual turning points and bifurcation of Stokes curves for higher order ordinary differential equations 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 Virtual turning points and bifurcation of Stokes curves for higher order ordinary differential equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Virtual turning points and bifurcation of Stokes curves for higher order ordinary differential equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-172215