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dynamicFlowerSolve -- a naive dynamic strategy

Synopsis

Description

Output is verbose. For other dynamic strategies, see MonodromySolverOptions.

i1 : R = CC[a,b,c,d][x,y];
i2 : polys = polySystem {a*x+b*y^2,c*x*y+d};
i3 : (p0, x0) = createSeedPair polys;
i4 : (L, npaths) = dynamicFlowerSolve(polys.PolyMap,p0,{x0})
 -- 0.00321704 seconds elapsed
 -- 0.00319263 seconds elapsed
 -- 0.000337552 seconds elapsed
 -- 0.00303069 seconds elapsed
 -- 0.00323914 seconds elapsed
 -- 0.000319227 seconds elapsed
 -- 0.00292944 seconds elapsed
 -- 0.00308915 seconds elapsed
 -- 0.00027625 seconds elapsed
 -- 0.0030111 seconds elapsed
 -- 0.00305438 seconds elapsed
 -- 0.000239307 seconds elapsed
--backup directory created: /tmp/M2-145519-0/1
  H01: 1
  H10: 1
number of paths tracked: 2
found 1 points in the fiber so far
  H01: 1
  H10: 1
number of paths tracked: 4
found 1 points in the fiber so far
  H01: 1
  H10: 1
number of paths tracked: 6
found 1 points in the fiber so far
  H01: 1
  H10: 1
number of paths tracked: 8
found 1 points in the fiber so far

o4 = ({{.892712+.673395*ii, .29398+.632944*ii}}, 8)

o4 : Sequence

For the programmer

The object dynamicFlowerSolve is a method function with options.