Simulation for Ricker Map, with parameter = [0.9999900000000006,1] Constructing the invariant set... done Starting simulation on the invariant set X x Y: X = [2.822016690896836e-06,7.389014394969061] Y = [2.822016690896836e-06,7.389014394969061] Constructing the local attraction domain... done Local attraction domain is: {[0.9545454545454545,1.045444545454546],[0.9545454545454545,1.045444545454546]} Filling the initial graph with boxes... done Adding edges to the graph... done - Number of boxes: 5476, number of edges: 12204 ---- Enclosure is: {[2.822016690896836e-06,7.400002822016712],[2.822016690896836e-06,7.400002822016712]} with box size: 0.1000000000000005 -------------- Iteration no. 1 Keeping only SCCs... done - Number of boxes: 608, number of edges: 6648 Bisecting boxes... done - Number of boxes: 1216, number of edges: 26592 Keeping only the good edges... done - Number of boxes: 1216, number of edges: 13865 ---- Enclosure is: {[2.822016690896836e-06,2.800002822016693],[2.822016690896836e-06,2.400002822016693]} with box size: 0.1000000000000001 Checking the attracted boxes... done -------------- Iteration no. 2 Keeping only SCCs... done - Number of boxes: 602, number of edges: 5782 Bisecting boxes... done - Number of boxes: 1204, number of edges: 23128 Keeping only the good edges... done - Number of boxes: 1204, number of edges: 8861 ---- Enclosure is: {[2.822016690896836e-06,2.300002822016693],[2.822016690896836e-06,2.250002822016693]} with box size: 0.05000000000000027 Checking the attracted boxes... done -------------- Iteration no. 3 Keeping only SCCs... done - Number of boxes: 619, number of edges: 3906 Bisecting boxes... done - Number of boxes: 1238, number of edges: 15624 Keeping only the good edges... done - Number of boxes: 1238, number of edges: 7584 ---- Enclosure is: {[2.822016690896836e-06,1.900002822016692],[2.822016690896836e-06,1.750002822016692]} with box size: 0.05000000000000004 Checking the attracted boxes... done -------------- Iteration no. 4 Keeping only SCCs... done - Number of boxes: 875, number of edges: 5256 Bisecting boxes... done - Number of boxes: 1750, number of edges: 21024 Keeping only the good edges... done - Number of boxes: 1750, number of edges: 9395 ---- Enclosure is: {[2.822016690896836e-06,1.750002822016692],[2.822016690896836e-06,1.625002822016692]} with box size: 0.02500000000000013 Checking the attracted boxes... done -------------- Iteration no. 5 Keeping only SCCs... done - Number of boxes: 1242, number of edges: 6650 Bisecting boxes... done - Number of boxes: 2484, number of edges: 26600 Keeping only the good edges... done - Number of boxes: 2484, number of edges: 13415 ---- Enclosure is: {[2.822016690896836e-06,1.625002822016692],[2.822016690896836e-06,1.525002822016692]} with box size: 0.02500000000000013 Checking the attracted boxes... done -------------- Iteration no. 6 Keeping only SCCs... done - Number of boxes: 1844, number of edges: 9838 Bisecting boxes... done - Number of boxes: 3688, number of edges: 39352 Keeping only the good edges... done - Number of boxes: 3688, number of edges: 18047 ---- Enclosure is: {[2.822016690896836e-06,1.550002822016692],[2.822016690896836e-06,1.462502822016692]} with box size: 0.01250000000000018 Checking the attracted boxes... done -------------- Iteration no. 7 Keeping only SCCs... done - Number of boxes: 2852, number of edges: 13907 Bisecting boxes... done - Number of boxes: 5704, number of edges: 55628 Keeping only the good edges... done - Number of boxes: 5704, number of edges: 29023 ---- Enclosure is: {[2.822016690896836e-06,1.475002822016692],[2.822016690896836e-06,1.400002822016692]} with box size: 0.01250000000000018 Checking the attracted boxes... done -------------- Iteration no. 8 Keeping only SCCs... done - Number of boxes: 4506, number of edges: 22667 Bisecting boxes... done - Number of boxes: 9012, number of edges: 90668 Keeping only the good edges... done - Number of boxes: 9012, number of edges: 41519 ---- Enclosure is: {[2.822016690896836e-06,1.425002822016692],[2.822016690896836e-06,1.362502822016692]} with box size: 0.006250000000000089 Checking the attracted boxes... done -------------- Iteration no. 9 Keeping only SCCs... done - Number of boxes: 6241, number of edges: 28231 Bisecting boxes... done - Number of boxes: 12482, number of edges: 112924 Keeping only the good edges... done - Number of boxes: 12482, number of edges: 59689 ---- Enclosure is: {[2.822016690896836e-06,1.368752822016692],[2.822016690896836e-06,1.306252822016692]} with box size: 0.006250000000000089 Checking the attracted boxes... done -------------- Iteration no. 10 Keeping only SCCs... done - Number of boxes: 10247, number of edges: 48712 Bisecting boxes... done - Number of boxes: 20494, number of edges: 194848 Keeping only the good edges... done - Number of boxes: 20494, number of edges: 90550 ---- Enclosure is: {[2.822016690896836e-06,1.331252822016692],[2.822016690896836e-06,1.284377822016692]} with box size: 0.003125000000000044 Checking the attracted boxes... done -------------- Iteration no. 11 Keeping only SCCs... done - Number of boxes: 15320, number of edges: 67847 Bisecting boxes... done - Number of boxes: 30640, number of edges: 271388 Keeping only the good edges... done - Number of boxes: 30640, number of edges: 143413 ---- Enclosure is: {[2.822016690896836e-06,1.287502822016692],[2.822016690896836e-06,1.234377822016692]} with box size: 0.003125000000000044 Checking the attracted boxes... done -------------- Iteration no. 12 Keeping only SCCs... done - Number of boxes: 23861, number of edges: 109462 Bisecting boxes... done - Number of boxes: 47722, number of edges: 437848 Keeping only the good edges... done - Number of boxes: 47722, number of edges: 205845 ---- Enclosure is: {[2.822016690896836e-06,1.268752822016692],[2.822016690896836e-06,1.226565322016692]} with box size: 0.001562500000000133 Checking the attracted boxes... done -------------- Iteration no. 13 Keeping only SCCs... done - Number of boxes: 35677, number of edges: 155174 Bisecting boxes... done - Number of boxes: 71354, number of edges: 620696 Keeping only the good edges... done - Number of boxes: 71354, number of edges: 329633 ---- Enclosure is: {[2.822016690896836e-06,1.225002822016692],[2.822016690896836e-06,1.184377822016692]} with box size: 0.001562500000000133 Checking the attracted boxes... done -------------- Iteration no. 14 Keeping only SCCs... done - Number of boxes: 58538, number of edges: 268270 Bisecting boxes... done - Number of boxes: 117076, number of edges: 1073080 Keeping only the good edges... done - Number of boxes: 117076, number of edges: 509659 ---- Enclosure is: {[2.822016690896836e-06,1.209377822016692],[2.822016690896836e-06,1.178909072016692]} with box size: 0.0007812500000001776 Checking the attracted boxes... done -------------- Iteration no. 15 Keeping only SCCs... done - Number of boxes: 82598, number of edges: 359157 Bisecting boxes... done - Number of boxes: 165196, number of edges: 1436628 Keeping only the good edges... done - Number of boxes: 165196, number of edges: 770407 ---- Enclosure is: {[2.822016690896836e-06,1.178909072016692],[2.822016690896836e-06,1.148440322016692]} with box size: 0.0007812500000001776 Checking the attracted boxes... done -------------- Iteration no. 16 Keeping only SCCs... done - Number of boxes: 136308, number of edges: 630828 Bisecting boxes... done - Number of boxes: 272616, number of edges: 2523312 Keeping only the good edges... done - Number of boxes: 272616, number of edges: 1212535 ---- Enclosure is: {[2.822016690896836e-06,1.168752822016692],[2.822016690896836e-06,1.139455947016692]} with box size: 0.0003906250000000888 Checking the attracted boxes... done -------------- Iteration no. 17 Keeping only SCCs... done - Number of boxes: 193566, number of edges: 867498 Bisecting boxes... done - Number of boxes: 387132, number of edges: 3469992 Keeping only the good edges... done - Number of boxes: 387132, number of edges: 1890575 ---- Enclosure is: {[2.822016690896836e-06,1.141409072016692],[2.822016690896836e-06,1.116799697016692]} with box size: 0.0003906250000000888 Checking the attracted boxes... done -------------- Iteration no. 18 Keeping only SCCs... done - Number of boxes: 309369, number of edges: 1493512 Bisecting boxes... done - Number of boxes: 618738, number of edges: 5974048 Keeping only the good edges... done - Number of boxes: 618738, number of edges: 2927196 ---- Enclosure is: {[2.822016690896836e-06,1.131643447016692],[2.822016690896836e-06,1.112893447016692]} with box size: 0.0001953125000000444 Checking the attracted boxes... done -------------- Iteration no. 19 Keeping only SCCs... done - Number of boxes: 426561, number of edges: 2037891 Bisecting boxes... done - Number of boxes: 853122, number of edges: 8151564 Keeping only the good edges... done - Number of boxes: 853122, number of edges: 4576610 ---- Enclosure is: {[2.822016690896836e-06,1.113674697016692],[2.822016690896836e-06,1.092971572016692]} with box size: 0.0001953125000000444 Checking the attracted boxes... done -------------- Iteration no. 20 Keeping only SCCs... done - Number of boxes: 654480, number of edges: 3462917 Bisecting boxes... done - Number of boxes: 1308960, number of edges: 13851668 Keeping only the good edges... done - Number of boxes: 1308960, number of edges: 7027497 ---- Enclosure is: {[2.822016690896836e-06,1.105862197016692],[2.822016690896836e-06,1.090725478266692]} with box size: 9.765625000013323e-05 Checking the attracted boxes... done -------------- Iteration no. 21 Keeping only SCCs... done - Number of boxes: 759951, number of edges: 4120421 Bisecting boxes... done - Number of boxes: 1519902, number of edges: 16481684 Keeping only the good edges... done - Number of boxes: 1519902, number of edges: 9710695 ---- Enclosure is: {[2.822016690896836e-06,1.091409072016692],[2.822016690896836e-06,1.074221572016692]} with box size: 9.765625000013323e-05 Checking the attracted boxes... done -------------- Iteration no. 22 Keeping only SCCs... done - Number of boxes: 1107377, number of edges: 6839981 Bisecting boxes... done - Number of boxes: 2214754, number of edges: 27359924 Keeping only the good edges... done - Number of boxes: 2214754, number of edges: 14614165 ---- Enclosure is: {[0.000393447016690897,1.085549697016692],[2.822016690896836e-06,1.073342665766692]} with box size: 4.882812500017764e-05 Checking the attracted boxes... done -------------- Iteration no. 23 Keeping only SCCs... done - Number of boxes: 1251227, number of edges: 8566016 Bisecting boxes... done - Number of boxes: 2502454, number of edges: 34264064 Keeping only the good edges... done - Number of boxes: 2502454, number of edges: 21943048 ---- Enclosure is: {[0.9274930563916916,1.075002822016692],[0.9403348532666915,1.060842665766692]} with box size: 4.882812500017764e-05 Checking the attracted boxes... done -------------- Iteration no. 24 Keeping only SCCs... done - Number of boxes: 1659166, number of edges: 13787700 Bisecting boxes... done - Number of boxes: 3318332, number of edges: 55150800 Keeping only the good edges... done - Number of boxes: 3318332, number of edges: 31662627 ---- Enclosure is: {[0.9307157126416916,1.071340712641692],[0.9412381735791917,1.059988173579192]} with box size: 2.441406250008882e-05 Checking the attracted boxes... done -------------- Iteration no. 25 Keeping only SCCs... done - Number of boxes: 1202165, number of edges: 11846571 Bisecting boxes... done - Number of boxes: 2404330, number of edges: 47386284 Keeping only the good edges... done - Number of boxes: 2404330, number of edges: 33670359 ---- Enclosure is: {[0.9382352438916916,1.063577040766692],[0.9503446188916915,1.050491103266692]} with box size: 2.441406250008882e-05 Checking the attracted boxes... done -------------- Iteration no. 26 Keeping only SCCs... done - Number of boxes: 1728209, number of edges: 22873525 Bisecting boxes... done - Number of boxes: 3456418, number of edges: 91494100 Keeping only the good edges... done - Number of boxes: 3456418, number of edges: 58619370 ---- Enclosure is: {[0.9405057517041916,1.061086806391692],[0.9506620017041916,1.050124892329192]} with box size: 1.220703125004441e-05 Checking the attracted boxes... done -------------- Iteration no. 27 Keeping only SCCs... done - Number of boxes: 1118064, number of edges: 19657151 Bisecting boxes... done - Number of boxes: 2236128, number of edges: 78628604 Keeping only the good edges... done - Number of boxes: 2236128, number of edges: 61949999 ---- Enclosure is: {[0.9459134665479416,1.055495986079192],[0.9702909079541915,1.030044325922942]} with box size: 1.220703125004441e-05 Checking the attracted boxes... done -------------- Iteration no. 28 Keeping only SCCs... done - Number of boxes: 1552652, number of edges: 40324225 Bisecting boxes... done - Number of boxes: 3105304, number of edges: 161296900 Keeping only the good edges... done - Number of boxes: 3105304, number of edges: 115653305 ---- Enclosure is: {[0.9471707907666915,1.054128798579192],[0.9706632224073166,1.029647597407317]} with box size: 6.103515625133227e-06 Checking the attracted boxes... done -------------- Iteration no. 29 Keeping only SCCs... done - Number of boxes: 679220, number of edges: 23058051 Bisecting boxes... done - Number of boxes: 1358440, number of edges: 92232204 Keeping only the good edges... done - Number of boxes: 1358440, number of edges: 79150663 ---- Enclosure is: {[0.9506681052198166,1.050515517329192],[0.9816190329541916,1.018166884516692]} with box size: 6.103515625133227e-06 Checking the attracted boxes... done -------------- Iteration no. 30 Keeping only SCCs... done - Number of boxes: 758319, number of edges: 37573916 Bisecting boxes... done - Number of boxes: 1516638, number of edges: 150295664 Keeping only the good edges... done - Number of boxes: 1516638, number of edges: 118751916 ---- Enclosure is: {[0.9514554587354416,1.049673232172942],[0.9816648093213792,1.018118056391692]} with box size: 3.051757812677636e-06 Checking the attracted boxes... done -------------- Iteration no. 31 Keeping only SCCs... done - Number of boxes: 86917, number of edges: 3236974 Bisecting boxes... done - Number of boxes: 173834, number of edges: 12947896 Keeping only the good edges... done - Number of boxes: 173834, number of edges: 11363973 ---- Enclosure is: {[0.9535092917432542,1.047549208735442],[0.9891446677198166,1.01027809057138]} with box size: 3.051757812677636e-06 Checking the attracted boxes... done -------------- Iteration no. 32 Keeping only SCCs... done - Number of boxes: 32816, number of edges: 1056966 Bisecting boxes... done - Number of boxes: 65632, number of edges: 4227864 Keeping only the good edges... done - Number of boxes: 65632, number of edges: 2882161 ---- Enclosure is: {[0.9538877097120041,1.047146376704192],[0.9891843405713792,1.010235365962005]} with box size: 1.525878906338818e-06 Checking the attracted boxes... done -------------- Iteration no. 33 Keeping only SCCs... done - Number of boxes: 0, number of edges: 0 Bisecting boxes... done - Number of boxes: 0, number of edges: 0 Keeping only the good edges... done - Number of boxes: 0, number of edges: 0 Checking the attracted boxes... done Running Time : 36371.65 Attracting Fixed Point validated