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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})
 -- 0.00300336 seconds elapsed
 -- 0.00299011 seconds elapsed
 -- 0.000305498 seconds elapsed
 -- 0.00288395 seconds elapsed
 -- 0.00290225 seconds elapsed
 -- 0.000234108 seconds elapsed
 -- 0.00278743 seconds elapsed
 -- 0.00291131 seconds elapsed
 -- 0.000247189 seconds elapsed
 -- 0.00315652 seconds elapsed
 -- 0.00323991 seconds elapsed
 -- 0.000283249 seconds elapsed
--backup directory created: /tmp/M2-113214-0/1
  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.