Introduction to the Modeling and Analysis of Complex Systems

214 CHAPTER 12. CELLULAR AUTOMATA II: ANALYSISstates in CA terminology.75 5722625 85 881454950 1165 80 162 81 149 280 210 100101 308 204 154 144 134194 164 202258290 300 306 294 26648484133618371224 3842 66128288 289 196153 99140 161 304 198 330 305 340352 392 396400404 332 272 28198 52 16 0673 6897192200 296 324 146 102274 256 89 19 21 12 64208 356264 32 3313179 10 40 74104 67 77 358496136 168178 322 257 384148 51 105 8312982133137 131 76 132 69 138 130 147 165 261 328 170329 292 386 260 176 150 320 152 193 169 160 166201 268338 265 408 321 293 273 297 276 298402 420416336 388277714126927432705314 3915 278 28282 142 23 8654785529 45 28530 31 302284 46 2864710856172106925760 901565859 1109462936117415763158139 135 872632752673342877179159 175 182 125 103 231119 155181 189 183 222 221 237 343 426 249 371 342 301 436 351 407409 333 406 438 411 335 245 247361 253 349 414 441 442 470 486 491 476 478 490255477 444 489 415 473 422 459 379 434 207 238 373214 254317 303 187213 307 123313347 359381498 463 507 479362412203215 377492383230 179115319487 447501 462508423 495107 206 223 127 219 218 315 239345499 346 380445 311 363461 309 364 318 250 91 366 171173 109 190191 111 235 217 211205 95243382246 341 310 350 251357358 365 378 374 367 410 413427 493446 502 503 506505 511 510 509431428 494 460429 467 469 435 471 475 375 500 485 443 474 430 437 439216212 228312 121113 180112 368 240120 184 185 252232344 360114 116117118188124 220314 316126186 122348151279398 271283143195385163197295399 167299432 395327 199224 391177424397 331464225 226480209456465 227484481433 466229497482468472233496369241 488234504370 242244372236 248440376390394259325389387 393326 323291353 354339448337403 455405453419421 451454355401 452449418 450417425457483458Figure 12.1: Graph-based phase space of the 1-D binary CA model with the majorityrule (r = 2, L = 9) drawn with Code 12.3.Exercise 12.4 Measure the number of states in each of the basins of attractionshown in Fig. 12.1, and draw a pie chart to show the relative sizes of those basins.Look up matplotlib’s online references to find out how to draw a pie chart. Thendiscuss the findings.