-- card: 6757 from stack: in -- bmap block id: 8235 -- flags: 0000 -- background id: 2811 -- name: -- part 1 (button) -- low flags: 00 -- high flags: A003 -- rect: left=320 top=267 right=289 bottom=420 -- title width / last selected line: 0 -- icon id / first selected line: 0 / 0 -- text alignment: 1 -- font id: 0 -- text size: 12 -- style flags: 0 -- line height: 16 -- part name: return map ----- HyperTalk script ----- on mouseUp open "bin:strange attractors:rossler band:ross.1D map" end mouseUp -- part contents for background part 22 ----- text ----- • Under this suposition there is strong contraction in every direction, under iteration by , except in the direction corresponding to the characteristic multiplier near -1. • Let x measure distance in this direction (along the "slow manifold"). Then all the dynamics may be approximated well (due to the draconian contraction) by the iteration confined to this 1D line: