** Construir sequencia descrita em classe (x[n+1] = x²[n] + e[n], x[0] = e[0])
set.seed(123)
x = rnorm(1,0,1)
aux = rep(0,999)
y = c(x,aux)
for (i in 1:999) {
y[i+1] = (y[i]^2 + rnorm(1,0,1)) %% 100
}
y
## [1] -0.56047565 0.08395546 1.56575683 2.52210285 6.49029054
## [6] 43.83893625 22.31324774 96.61596363 33.95757503 52.67123993
## [11] 75.48359767 98.13333043 30.55131252 33.49337913 21.25060448
## [16] 53.37510378 49.39955438 38.34935545 71.37441941 93.83495474
## [21] 3.93090774 15.23406075 31.05060241 63.41101878 20.33226404
## [26] 11.71426756 38.06185153 48.85791509 85.95773020 89.98519626
## [31] 97.76200944 57.11541749 63.06604079 78.20363433 16.63000358
## [36] 77.24565922 67.44578556 48.87207800 88.17404526 74.28178580
## [41] 17.08899463 91.82582028 30.71587284 45.63380043 83.65170396
## [46] 96.48446695 8.84947780 77.84660200 60.87340810 5.48844406
## [51] 30.37633674 22.69328698 14.94240333 24.64401943 7.10192245
## [56] 51.95377313 97.64578924 35.28477048 45.13888220 37.73462793
## [61] 24.28178475 89.10274727 38.96636343 17.35890334 0.25973393
## [66] 0.37099035 0.58584362 0.39621698 1.07925536 3.21487682
## [71] 9.84440178 94.60307759 50.74802805 74.65315040 72.40485546
## [76] 43.48866538 90.97924381 76.00208578 76.49834696 51.85819552
## [81] 89.27820704 70.98353217 38.29117918 66.85877962 69.87592510
## [86] 82.97669008 86.22793561 35.69206144 73.59731825 17.71406191
## [91] 14.78149318 19.04093753 62.79603388 42.71396502 25.84346052
## [96] 67.28419229 29.34986489 62.94717982 62.11174659 56.84264386
## [101] 30.37575448 22.94334368 26.15032737 83.49207908 69.97564997
## [106] 96.54656039 20.45341807 16.67436867 77.65434397 31.11613410
## [111] 67.63845433 75.56846880 8.97559439 80.50573271 81.69240593
## [116] 73.95033943 68.75837829 27.07387896 32.14521751 32.29088027
## [121] 42.81859491 32.48459549 54.75838644 98.22479366 49.95395096
## [126] 94.74526672 76.90095155 13.83431002 90.42627707 76.84027695
## [131] 5.87271335 34.94026619 20.86343432 34.86039477 13.19387632
## [136] 75.20970968 55.03979029 30.11846300 9.03091703 80.11356928
## [141] 18.88576643 56.40997610 80.51325910 80.87022369 38.39154395
## [146] 73.37974001 83.12448876 10.36854765 9.60688936 91.00529273
## [151] 82.75104454 48.50441448 53.01042700 9.09699416 82.63585017
## [156] 28.40333735 7.31256217 53.10112669 20.70662918 28.38991112
## [161] 7.03976477 48.50911095 51.87368987 94.12074062 58.29695732
## [166] 98.83346058 68.68950064 17.76371778 16.06653134 58.50239371
## [171] 22.31468919 98.01064664 6.05278794 38.76469372 1.96014279
## [176] 2.74616350 7.57920237 57.75478930 36.05221089 99.30354446
## [181] 60.13061583 16.95414586 87.09341162 84.39683402 22.58931350
## [186] 10.07990872 2.71448007 7.45313933 56.30333960 69.56675783
## [191] 39.74824087 79.59796614 35.93079785 90.12687052 21.54198824
## [196] 66.05447077 63.79381816 68.39996391 77.94389735 74.06565447
## [201] 87.91998257 31.23574881 75.40685875 86.73754092 22.98666572
## [206] 27.91055400 78.21042167 16.27544101 66.54088743 27.63567124
## [211] 63.84957033 77.01131894 31.97572127 21.93068710 79.96252945
## [216] 95.68181297 54.56816982 76.96209127 21.92722027 79.51827324
## [221] 22.58180578 10.55593793 12.53767377 57.90085203 52.14500840
## [226] 19.16165123 66.46428140 16.78348368 82.56997492 16.78516555
## [231] 83.69707664 5.11031925 26.32990166 92.52519398 60.33713201
## [236] 39.25248311 40.57450490 46.70943037 82.09518975 38.83864289
## [241] 7.65155923 58.04415987 70.62055580 86.12559757 17.43950526
## [246] 6.03870546 36.36498873 21.05256489 42.54571917 10.62368003
## [251] 12.48697446 55.36265489 64.67963872 83.54616202 81.55969749
## [256] 51.89568936 94.24337401 82.44429802 96.94863607 97.50513449
## [261] 6.73013460 44.80484123 7.52095249 57.86492502 50.64262694
## [266] 66.22324460 85.38497479 88.83739252 91.69352920 7.79250396
## [271] 61.56813092 91.59727245 90.74462972 33.19254827 2.59490395
## [276] 6.28696928 39.70078541 76.22691299 10.97043027 20.37501530
## [281] 13.47377331 82.27906312 70.23025392 32.02291459 25.58520316
## [286] 54.73665920 96.32288014 79.73808434 57.94304443 57.56446272
## [291] 14.83575257 21.15373544 48.62578619 63.88961499 83.88538643
## [296] 36.82475710 57.92958764 54.48622114 68.76927781 30.46348530
## [301] 27.30869414 45.01208666 25.14940663 31.44014062 88.04528254
## [306] 52.30295725 33.58512644 28.17269871 94.93762755 15.19069962
## [311] 32.05853087 28.50617609 10.87534470 17.67161556 11.93395010
## [316] 43.12268896 59.46063157 34.30805830 78.72729974 98.89911576
## [321] 81.27252796 6.44191018 40.15943249 13.44083821 80.13321931
## [326] 22.01658266 84.66909025 69.48780504 29.89056739 93.45330927
## [331] 34.53857306 91.72459519 12.67975783 62.29547642 81.10376979
## [336] 75.76925096 39.61535292 69.17540582 86.10255020 13.54726803
## [341] 84.15265867 82.62896644 29.21715051 53.69790045 83.41253113
## [346] 55.89711243 24.58650553 3.92440400 14.42693718 7.95661030
## [351] 64.32259064 35.40291856 52.93936345 2.69283974 6.35817832
## [356] 40.76033448 61.81629694 21.22153098 47.88747897 95.78210026
## [361] 74.00543039 77.45492061 99.53849277 8.93621550 80.67360685
## [366] 8.02104898 64.71539444 87.13686870 93.69081041 77.50691744
## [371] 9.73902367 93.19753305 85.31618004 79.67595711 48.76827470
## [376] 77.75513619 44.86442354 12.96097508 67.97256760 18.47966538
## [381] 41.53258353 25.14572498 32.48221135 54.03903738 20.69369431
## [386] 29.60755425 77.06350528 37.64825768 16.95566123 87.84055133
## [391] 15.31541248 32.40421315 50.91728098 91.74002523 15.65866946
## [396] 46.69782989 79.91317173 86.96074798 60.91100696 9.79622619
## [401] 95.89249146 94.20126748 73.24404659 64.66152001 81.78286538
## [406] 86.78652331 31.55087442 96.21408293 56.61094545 5.02643655
## [411] 25.75729299 63.70597734 59.10480602 93.25538562 96.15327107
## [416] 42.80838903 32.46523074 54.42149178 62.23416589 72.53612612
## [421] 63.26909501 3.26480791 10.78528654 17.59467261 8.85403802
## [426] 77.94365060 77.61012161 23.34210547 46.48745633 59.64508905
## [431] 57.34613109 88.95717510 13.67904085 86.11052243 15.04133275
## [436] 25.16427012 33.95319400 53.90415817 3.43327981 13.02310372
## [441] 68.36018588 73.56978246 13.17279381 73.32260686 75.55956315
## [446] 9.41290474 89.04159432 29.28882212 55.78276422 10.08040441
## [451] 3.04495534 10.31838184 6.90429283 48.38443792 41.97100803
## [456] 58.90459264 70.86131173 20.84051241 34.55757439 93.93079007
## [461] 23.86528823 69.20350979 89.64427163 35.70475168 73.73650556
## [466] 38.28226299 66.27255946 93.77639967 94.07828920 51.84950244
## [471] 90.34632259 62.17652364 64.59714068 72.55123303 63.46737238
## [476] 28.25903689 0.28547097 99.75534978 51.50281457 52.31222423
## [481] 36.58925446 39.08759973 29.16866756 50.93248587 94.83095880
## [486] 93.68960627 78.65709583 86.36432913 60.42422663 50.70620733
## [491] 71.01367761 44.34645757 67.90238272 9.64358651 92.12568971
## [496] 85.78462459 59.18366387 2.87091027 8.60624048 74.61953284
## [501] 67.47278872 51.58351972 61.88629126 30.66410762 38.77832932
## [506] 3.66367712 12.52658218 54.84451009 8.07040711 65.05225914
## [511] 31.69904972 5.04590574 26.34362990 94.19243356 71.59810418
## [516] 25.55372323 52.86096815 94.59197102 46.60130198 71.49703763
## [521] 12.79365746 63.56939103 40.36905584 29.38472459 64.57668779
## [526] 70.69865041 99.53584539 7.52361534 57.01506290 50.15894105
## [531] 16.52473811 72.56063605 63.62533899 48.31175469 35.97149236
## [536] 94.74917707 78.57180852 73.88794971 58.82055569 59.65553096
## [541] 58.50912600 22.84912567 22.78671109 18.03683879 26.19391959
## [546] 86.98557590 65.29179167 63.65755120 54.71405179 93.07024783
## [551] 62.91593520 57.63270006 22.63882801 12.76635824 64.63181803
## [556] 75.81293153 47.54928981 60.40803625 48.93357821 93.86549777
## [561] 9.89782763 98.54571423 10.17021157 4.91723433 22.99298686
## [566] 28.77852389 28.73642676 26.36895819 95.02020946 28.91970748
## [571] 37.31074498 90.63522475 13.96222629 95.26416526 74.81639982
## [576] 98.86368642 74.70174639 80.42308040 66.36410296 4.22026176
## [581] 17.49419349 5.94445939 34.15503818 67.06529129 96.71433905
## [586] 53.43715630 55.91109977 25.26756199 39.03268031 22.23362147
## [591] 91.52414918 77.13485062 50.62571948 62.67762741 28.98910408
## [596] 39.21223890 37.47253118 2.24907429 6.23951603 40.79147121
## [601] 65.01813569 27.33062124 46.92952677 0.86441535 1.53759924
## [606] 2.15347723 3.98072127 14.43411600 8.04394223 63.85594541
## [611] 77.18473394 56.26555304 67.50004802 56.24048000 64.06653550
## [616] 1.91927088 3.23040286 9.76002038 94.03507155 44.14129128
## [621] 47.03831370 12.92134583 67.80761422 98.05073678 13.07172713
## [626] 71.81121585 57.02131028 50.36632822 35.37896905 53.75816850
## [631] 89.26217724 65.88071349 40.80166981 65.08648973 34.89731141
## [636] 15.87938713 52.03863321 9.15874235 84.51868545 42.91525306
## [641] 40.88475712 71.83443164 60.34292210 41.89795980 55.04323755
## [646] 30.65735349 39.04251164 23.98717024 76.12515064 96.02853184
## [651] 19.54042342 81.93533785 14.00836835 94.78355944 84.40376611
## [656] 23.16755970 37.75607560 26.05972690 79.87841816 80.68240715
## [661] 10.51447171 11.93462988 44.40163834 71.47709262 6.72571851
## [666] 45.26681551 49.29014764 29.36330875 62.77218958 41.35846217
## [671] 10.00441078 99.79413968 59.26815643 12.16414289 48.05763975
## [676] 7.57503088 56.26119305 63.99408741 94.38959983 8.70325209
## [681] 76.12890216 96.59185643 29.25934519 55.11244190 36.33956319
## [686] 20.14926442 5.75382758 33.59014936 27.97680916 80.62336153
## [691] 0.03499086 1.18841117 2.60392238 5.99144854 34.34967910
## [696] 82.35851476 82.76253094 49.53907709 54.54073336 73.07755562
## [701] 39.60091578 66.69208853 47.14157816 22.44724130 2.51393234
## [706] 6.90983846 48.03521163 6.47734174 42.18228101 80.09291219
## [711] 15.93567898 53.73301631 87.14340468 93.88626461 16.07214438
## [716] 59.43889686 33.81686210 43.29282115 74.64160484 71.77246391
## [721] 50.24490171 22.82184375 21.47838196 59.79158089 75.03482873
## [726] 30.47577023 29.33643854 60.81605259 97.85939902 77.44834245
## [731] 99.98438252 97.75792710 54.66866079 90.06204854 11.11653189
## [736] 24.10219548 81.53786043 48.32599747 35.32676864 48.99973952
## [741] 1.68607507 3.83311138 17.07566956 92.24290684 8.96124287
## [746] 78.09324070 1.24595693 1.06973186 3.51906096 12.75843363
## [751] 64.31605877 36.44570509 28.80089059 29.70525693 82.21616865
## [756] 59.37799328 26.75892054 15.83837050 48.81629768 82.83502983
## [761] 62.18195697 67.21222820 18.10018772 25.92469390 72.45849561
## [766] 51.20144511 22.86455989 22.56313785 8.77329714 78.45858060
## [771] 54.08094168 24.31142297 91.50274908 71.13531573 60.51277239
## [776] 63.67348677 54.30885698 49.17349284 18.50731025 42.24146041
## [781] 85.15437758 52.17245688 21.96794882 81.41408334 26.93474602
## [786] 24.88754596 20.18732456 5.56986768 29.13710078 48.31686200
## [791] 34.91354869 18.04231581 26.41190887 97.92229993 88.60618490
## [796] 51.87483035 91.38638934 51.02622199 3.90644517 15.90782719
## [801] 53.41524938 52.53085591 60.34602533 42.79570920 31.74900025
## [806] 8.14312172 66.23480624 89.21097341 58.87409196 66.00041038
## [811] 53.54625285 65.63591212 7.99528598 64.13089195 13.04817418
## [816] 71.07635617 51.65425403 69.37654839 12.18395062 47.24021001
## [821] 30.40845588 25.41648624 45.91485304 8.96354723 80.07747245
## [826] 11.80970238 39.10071774 27.01351077 28.56014885 14.24006761
## [831] 3.83384787 14.10105941 99.62933640 27.52116305 57.22264071
## [836] 74.71448837 80.50370483 80.02782079 4.50831501 20.62399114
## [841] 24.58961226 7.33389017 53.32755487 43.89235212 27.18836657
## [846] 39.18125808 34.52741723 93.18784651 85.59028199 25.66667659
## [851] 59.34055462 21.20400977 50.62648535 61.88485141 32.05569414
## [856] 26.96399550 25.59820377 54.91711840 16.03660147 58.79620791
## [861] 57.90527397 53.16321189 24.93761443 21.01857571 41.61723995
## [866] 34.54768712 91.68245779 6.80412028 45.76881853 96.45074043
## [871] 1.60612961 2.72327555 6.31667879 40.80394740 66.44590308
## [876] 17.00875666 90.09540372 19.02503804 63.19849634 93.91806462
## [881] 21.07989945 43.39016640 82.52133810 10.99220575 21.36987145
## [886] 57.12876324 62.65745885 25.35263670 41.99158172 63.68823134
## [891] 55.20030321 47.63551582 68.02595080 29.35851231 62.38283645
## [896] 90.91727954 66.19276570 81.12977834 82.41208162 91.99473024
## [901] 62.01627845 45.22747915 45.82446374 1.52052886 3.39662501
## [906] 10.91249401 19.90844842 96.29775007 73.55798257 11.03716088
## [911] 24.39437014 93.90000594 17.31203543 97.92659341 90.20753260
## [916] 38.49554709 83.35280832 45.76550887 94.89457186 6.57313826
## [921] 42.79213072 30.95430116 58.13222291 79.72035944 56.00086898
## [926] 37.41514730 99.79775962 59.78910388 77.22494031 64.12250490
## [931] 11.88438738 39.89642037 91.72721461 13.66057456 86.60025146
## [936] 99.02813444 5.88459549 33.90769046 49.51696794 53.29824691
## [941] 41.75221084 42.88713480 37.62041459 14.45101071 8.37394991
## [946] 70.22667515 31.12329510 70.66617833 93.43649289 29.16425886
## [951] 50.41273306 40.43827736 35.41043151 54.13229316 30.66075085
## [956] 38.45978459 79.37574192 0.81885606 99.24941680 51.40210166
## [961] 42.96022566 47.88060835 92.70935851 95.07188865 38.76059762
## [966] 2.45369397 4.17214134 15.73563633 47.53271185 58.77762801
## [971] 54.86429082 7.97919835 62.16890800 63.87163896 80.57232221
## [976] 90.80061550 43.95226202 31.88121072 16.08885055 58.99752925
## [981] 83.01352006 90.11990867 21.29246871 52.85246433 94.89538142
## [986] 4.36393036 18.96180127 60.33704099 39.49992500 61.89925119
## [991] 32.19306061 35.31894479 47.88243901 92.51465833 59.27523416
## [996] 13.46340976 82.33391830 77.52300232 9.29327147 86.11570397
Including Plots
**Plotar diagrama de Poincaré (x[n+1] vs x[n])
