StdMap.sea.hqx Standard Map (Orbit Finder for Area-Preserving Maps) J.D. Meiss jdm@bolder.colorado.edu As the title says, this program maps orbits of area-preserving maps. The selection of maps is Standard Map: y' = y - k sin(2 pi x)/(2 pi) x' = x + y' Henon: y' = x x' = -y - a + x^2 Fermi (Ulam): y' = y + k sin(2 pi x)/(2 pi) x' = x + 1/y' Two harmonic: y' = y - (a sin(2 pi x) + b sin (4 pi x))/(2 pi) x' = x + y' Piecewise LInear: y' = y - V'(x) (appropriate V') x' = x + y' The user can modify the paramters, then find periodic orbits, stable and unstable manifolds for a hyperbolic periodic orbit with a given frequency, a sequence of periodic orbits that converge to a homoclinic point, or a periodic orbit with a given Farey sequence. Balloon help is implemented and offers sufficient help in using the program. This program requires FPU, but tests out fine on a PowerMac with SoftwareFPU installed. -------------------------------------------------------------- Location in Mathematics Archives: Anonymous FTP: /mac/fractals Gopher: (First select "Software" then "Macintosh software arranged by subjects") Fractals / Standard Map --------------------------------------------------------------