fitz.c running, solve: 
 v' = v - v^3/3.0 + r      initial v = -1.0 
 r' = -(v - 0.2 - 0.2*r)   initiaL R = 1.0 
t=0, v=-1, v1=-0.999667, v2=-0.999666, vp=0.333333 
t=0, r=1, r1=1.0014, r2=1.0014, rp=1.4 
t=0.25, vp=0.692043, rp=1.34162, v=-0.872276, r=1.3446 
t=0.5, vp=1.10244, rp=1.18261, v=-0.64928, r=1.6623 
t=0.75, vp=1.62157, rp=0.897707, v=-0.31124, r=1.92512 
h reduced to 0.0005 
t=1.0005, vp=2.26864, rp=0.445767, v=0.174725, r=2.09701 
t=1.2505, vp=2.7664, rp=-0.186055, v=0.813971, r=2.13257 
t=1.5005, vp=2.39495, rp=-0.88245, v=1.48325, r=1.99755 
t=1.7505, vp=1.21697, rp=-1.3973, v=1.93938, r=1.70667 
t=2.0005, vp=0.283219, rp=-1.65063, v=2.11513, r=1.32097 
t=2.2505, vp=-0.167188, rp=-1.74279, v=2.12179, r=0.89453 
t=2.5, vp=-0.370291, rp=-1.76038, v=2.05167, r=0.45648 
t=2.75, vp=-0.485589, rp=-1.74012, v=1.94372, r=0.0183076 
t=3, vp=-0.578941, rp=-1.69292, v=1.81053, r=-0.411338 
t=3.25, vp=-0.679218, rp=-1.61893, v=1.65357, r=-0.825889 
t=3.5, vp=-0.805107, rp=-1.51257, v=1.46871, r=-1.21805 
t=3.75, vp=-0.977496, rp=-1.36311, v=1.24706, r=-1.57851 
t=4, vp=-1.22786, rp=-1.15274, v=0.973357, r=-1.89443 
t=4.25, vp=-1.60429, rp=-0.852588, v=0.622421, r=-2.14725 
t=4.5, vp=-2.15317, rp=-0.419104, v=0.156197, r=-2.30936 
t=4.75, vp=-2.76939, rp=0.192128, v=-0.461813, r=-2.3414 
t=5.0005, vp=-2.83145, rp=0.943483, v=-1.18501, r=-2.20008 
t=5.2505, vp=-1.78091, rp=1.60295, v=-1.77933, r=-1.87664 
t=5.5005, vp=-0.562467, rp=1.97753, v=-2.06259, r=-1.42292 
t=5.7505, vp=0.10823, rp=2.12689, v=-2.10834, r=-0.906495 
t=6.0005, vp=0.415183, rp=2.16446, v=-2.03818, r=-0.368521 
t=6.2505, vp=0.587295, rp=2.14575, v=-1.91144, r=0.171157 
t=6.5005, vp=0.73039, rp=2.08705, v=-1.74669, r=0.701037 
t=6.7505, vp=0.894265, rp=1.98686, v=-1.54437, r=1.21119 
t=7.0005, vp=1.11793, rp=1.83283, v=-1.29447, r=1.68992 
t=7.2505, vp=1.45408, rp=1.60068, v=-0.97591, r=2.121 
t=7.5005, vp=1.98348, rp=1.24791, v=-0.551032, r=2.48006 
t=7.7505, vp=2.76559, rp=0.708894, v=0.0382394, r=2.72911 
t=8.0005, vp=3.45228, rp=-0.0634709, v=0.828006, r=2.81401 
t=8.2505, vp=2.84176, rp=-0.912449, v=1.65184, r=2.68941 
t=8.5005, vp=1.20059, rp=-1.47879, v=2.15597, r=2.38214 
t=8.7505, vp=0.179524, rp=-1.71435, v=2.31018, r=1.97786 
t=9.0005, vp=-0.209262, rp=-1.79046, v=2.2981, r=1.53782 
t=9.2505, vp=-0.357691, rp=-1.80716, v=2.22463, r=1.08736 
t=9.5, vp=-0.435949, rp=-1.79752, v=2.12494, r=0.637272 
t=9.75, vp=-0.499482, rp=-1.76981, v=2.00794, r=0.191007 
t=10, vp=-0.567594, rp=-1.72408, v=1.87475, r=-0.246114 
t=10.25, vp=-0.650735, rp=-1.65684, v=1.72284, r=-0.669205 
t=10.5, vp=-0.759297, rp=-1.56186, v=1.5472, r=-1.07217 
t=10.75, vp=-0.908417, rp=-1.42944, v=1.33974, r=-1.44694 
t=11, vp=-1.12309, rp=-1.24436, v=1.08744, r=-1.78241 
t=11.25, vp=-1.44431, rp=-0.982305, v=0.769164, r=-2.06258 
t=11.5, vp=-1.92556, rp=-0.605205, v=0.351548, r=-2.26377 
t=11.75, vp=-2.55418, rp=-0.0642063, v=-0.207287, r=-2.35111 
t=12, vp=-2.93893, rp=0.650086, v=-0.907712, r=-2.28045 
t=12.25, vp=-2.28291, rp=1.37962, v=-1.58566, r=-2.02378 
t=12.5, vp=-0.972902, rp=1.86837, v=-1.99127, r=-1.61117 
t=12.75, vp=-0.0883957, rp=2.08837, v=-2.11105, r=-1.11212 
t=13, vp=0.322878, rp=2.15897, v=-2.07485, r=-0.579132 
t=13.25, vp=0.528435, rp=2.15843, v=-1.96607, r=-0.0383972 
t=13.5, vp=0.67475, rp=2.11465, v=-1.81522, r=0.496525 
t=13.75, vp=0.82578, rp=2.03146, v=-1.62813, r=1.01563 
t=14, vp=1.02102, rp=1.9005, v=-1.39853, r=1.50822 
t=14.25, vp=1.30541, rp=1.70261, v=-1.11008, r=1.96022 
t=14.5, vp=1.7484, rp=1.40335, v=-0.732424, r=2.35096 
t=14.75, vp=2.43531, rp=0.945641, v=-0.214825, r=2.64846 
t=15, vp=3.26124, rp=0.262557, v=0.499913, r=2.80433 
t=15.25, vp=3.29369, rp=-0.597092, v=1.35147, r=2.76338 
t=15.5, vp=1.8255, rp=-1.30508, v=2.00976, r=2.51823 
t=15.75, vp=0.475743, rp=-1.65055, v=2.27934, r=2.14193 
t=16, vp=-0.102842, rp=-1.7713, v=2.31369, r=1.71131 
t=16.25, vp=-0.313706, rp=-1.80476, v=2.25744, r=1.26324 
t=16.5, vp=-0.409087, rp=-1.80358, v=2.1659, r=0.811708 
t=16.75, vp=-0.475044, rp=-1.78259, v=2.05515, r=0.363081 
t=17, vp=-0.539933, rp=-1.7441, v=1.92838, r=-0.0781186 
t=17.25, vp=-0.616133, rp=-1.68578, v=1.78418, r=-0.507288 
t=17.5, vp=-0.713408, rp=-1.60248, v=1.6185, r=-0.918881 
t=17.75, vp=-0.844519, rp=-1.48601, v=1.42459, r=-1.3057 
t=18, vp=-1.02993, rp=-1.32362, v=1.19164, r=-1.65797 
t=18.25, vp=-1.30381, rp=-1.09506, v=0.902136, r=-1.96188 
t=18.5, vp=-1.71731, rp=-0.76805, v=0.527841, r=-2.19713 
t=18.75, vp=-2.30405, rp=-0.296003, v=0.0281761, r=-2.33352 
t=19, vp=-2.87222, rp=0.35771, v=-0.625037, r=-2.32928 
t=19.25, vp=-2.68119, rp=1.11371, v=-1.34415, r=-2.14491 
t=19.5005, vp=-1.46616, rp=1.71667, v=-1.87444, r=-1.78432 
t=19.7505, vp=-0.358248, rp=2.02776, v=-2.09028, r=-1.31067 
t=20.0005, vp=0.201219, rp=2.14301, v=-2.10043, r=-0.786516 
t=20.2505, vp=0.461564, rp=2.16454, v=-2.01388, r=-0.246746 
t=20.5005, vp=0.620314, rp=2.13607, v=-1.87764, r=0.29167 
t=20.7505, vp=0.764369, rp=2.06851, v=-1.70473, r=0.818035 
t=21.0005, vp=0.938029, rp=1.95759, v=-1.49287, r=1.32227 
t=21.2505, vp=1.18151, rp=1.78859, v=-1.22979, r=1.79192 
t=21.5005, vp=1.55311, rp=1.53378, v=-0.891298, r=2.20931 
t=21.7505, vp=2.1385, rp=1.14548, v=-0.435018, r=2.54752 
t=22.0005, vp=2.95994, rp=0.554865, v=0.199514, r=2.76477 
t=22.2505, vp=3.47124, rp=-0.260581, v=1.02333, r=2.80492 
t=22.5005, vp=2.48823, rp=-1.07398, v=1.80202, r=2.63342 
t=22.7505, vp=0.893318, rp=-1.55467, v=2.21461, r=2.29671 
t=23.0005, vp=0.0541228, rp=-1.74027, v=2.3166, r=1.88064 
t=23.2505, vp=-0.254599, rp=-1.79757, v=2.285, r=1.43687 
t=23.5005, vp=-0.378489, rp=-1.80677, v=2.2039, r=0.985692 
t=23.7505, vp=-0.450709, rp=-1.79274, v=2.09977, r=0.535371 
t=24.0005, vp=-0.514119, rp=-1.76109, v=1.97917, r=0.0907919 
t=24.2505, vp=-0.584818, rp=-1.71088, v=1.84204, r=-0.343605 
t=24.5005, vp=-0.672718, rp=-1.63799, v=1.68527, r=-0.762719 
t=24.7505, vp=-0.7889, rp=-1.53552, v=1.50326, r=-1.16008 
t=25.0005, vp=-0.950232, rp=-1.39273, v=1.28699, r=-1.52704