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File:Logistic iterates 3.4.svg

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ax.plot(x_values, y_values, label=f'iteration = {2**n}', color='blue') ax.plot(x_values, x_values, linewidth=0.5, color='green') ax.hlines(0.5, 0, 1, linewidth=0.3, alpha=0.8, linestyle='--', color='black') ax.legend()
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ax = axes n_iter = 2**n y_values = function_iter(logistic_map, n_iter - last_n_iter, y_values, r=r) last_n_iter = n_iter
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r = 3.4 highest_exponent = 8 fig, axes = plt.subplots(nrows=highest_exponent, ncols=1, figsize=(40, 5 * highest_exponent))
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I, the copyright holder of this work, hereby publish it under the following license:
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fig.suptitle(f'Iterates of the Logistic map with r = {r}',y=1.0) plt.tight_layout()
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x_values = np.linspace(0, 1, 10000) y_values = x_values last_n_iter = 0
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88: 150:```python import numpy as np import matplotlib.pyplot as plt 82:(SVG file, nominally 3,600 × 3,600 pixels, file size: 140 KB) 508:
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for _ in range(n): x = f(x, **kwargs) return x
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Add a one-line explanation of what this file represents
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plt.savefig(f'logistic_iterates_{r}.svg') plt.show()
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Commons is a freely licensed media file repository.
435:https://commons.wikimedia.org/User:Cosmia_Nebula 307:https://creativecommons.org/licenses/by-sa/4.0 93: 313:Creative Commons Attribution-Share Alike 4.0 237: 8: 273:– to copy, distribute and transmit the work 41:Size of this PNG preview of this SVG file: 684: 601: 335: 260:Attribution-Share Alike 4.0 International 694: 686: 661: 577: 561: 541: 525: 505: 489: 469: 453: 386: 370: 353: 350: 331: 324: 159:def function_iter(f, n, x, **kwargs): 7: 590: 248: 243: 677: 344: 338: 234: 230: 171:for n in range(highest_exponent): 148:Logistic map iterates when r=3.0. 142: 125: 75: 343: 329: 284:Under the following conditions: 255:This file is licensed under the 247: 242: 236: 92: 21: 326: 143: 14: 325: 26: 1: 544:original creation by uploader 31: 351:Items portrayed in this file 716: 298:same or compatible license 591: 205: 138:Logistic iterates 3.4.svg 16: 328: 264: 153:def logistic_map(x, r): 99:This is a file from the 648: 211: 201: 194: 191: 156:return r * x * (1 - x) 135: 103:. Information from its 106:description page there 69:3,600 × 3,600 pixels 65:2,048 × 2,048 pixels 61:1,024 × 1,024 pixels 664:Feigenbaum function 627:23:35, 6 April 2024 279:– to adapt the work 47:Other resolutions: 413:Wikimedia username 400:author name string 703: 702: 652: 492:copyright license 337: 221: 220: 121: 120: 101:Wikimedia Commons 707: 685: 639: 456:copyright status 437: 432: 422: 417: 407: 404: 320: 317: 314: 311: 308: 300:as the original. 257:Creative Commons 251: 250: 246: 245: 240: 239: 207: 197: 147: 139: 133: 117: 96: 95: 89: 83: 72: 57:768 × 768 pixels 53:480 × 480 pixels 49:240 × 240 pixels 43:600 × 600 pixels 715: 714: 710: 709: 708: 706: 705: 704: 673: 660: 653: 645: 637: 593: 592: 589: 588: 587: 586: 585: 584: 583: 582: 580: 570: 569: 568: 566: 555: 554: 553: 552: 551: 550: 549: 548: 546: 534: 533: 532: 530: 519: 518: 517: 516: 515: 514: 513: 512: 510: 498: 497: 496: 494: 483: 482: 481: 480: 479: 478: 477: 476: 474: 462: 461: 460: 458: 447: 446: 445: 444: 443: 442: 441: 440: 439: 438: 433: 430: 424: 423: 418: 415: 409: 408: 405: 402: 393: 392: 391: 389: 379: 378: 377: 375: 364: 363: 362: 361: 360: 358: 342: 341: 340: 323: 322: 321: 318: 315: 312: 309: 306: 305: 263: 252: 233: 232: 227: 222: 187: 179: 175: 163: 157: 137: 130: 123: 122: 111: 110: 109:is shown below. 85: 81: 74: 73: 46: 12: 11: 5: 713: 711: 701: 700: 697: 693: 692: 689: 676: 672: 671: 666: 658: 657: 656: 651: 650: 647: 643: 640: 636:3,600 × 3,600 634: 629: 624: 620: 619: 616: 613: 610: 607: 604: 597: 596: 581: 578: 576: 575: 574: 573: 572: 571: 567: 562: 560: 559: 558: 557: 556: 547: 542: 540: 539: 538: 537: 536: 535: 531: 528:source of file 526: 524: 523: 522: 521: 520: 511: 506: 504: 503: 502: 501: 500: 499: 495: 490: 488: 487: 486: 485: 484: 475: 470: 468: 467: 466: 465: 464: 463: 459: 454: 452: 451: 450: 449: 448: 426: 425: 411: 410: 398: 397: 396: 395: 394: 390: 387: 385: 384: 383: 382: 381: 380: 376: 371: 369: 368: 367: 366: 365: 359: 354: 352: 349: 348: 347: 346: 345: 334: 333: 330: 327: 304: 303: 302: 301: 291: 282: 281: 280: 274: 267:You are free: 254: 253: 235: 229: 228: 226: 223: 219: 218: 213: 209: 208: 203: 199: 198: 193: 189: 188: 176: 173: 161: 155: 140: 131: 129: 126: 124: 119: 118: 97: 87: 86: 40: 36: 35: 34: 29: 24: 19: 13: 10: 9: 6: 4: 3: 2: 712: 698: 695: 690: 687: 683: 680: 674: 670: 667: 665: 662: 654: 646: 644:Cosmia Nebula 641: 635: 633: 630: 628: 625: 622: 621: 617: 614: 611: 608: 605: 603: 602: 600: 594: 565: 545: 529: 509: 493: 473: 457: 436: 429: 421: 420:Cosmia Nebula 414: 406:Cosmia Nebula 401: 374: 357: 310:CC BY-SA 4.0 299: 295: 292: 289: 286: 285: 283: 278: 275: 272: 269: 268: 266: 265: 261: 258: 241: 224: 217: 216:Cosmia Nebula 214: 210: 204: 200: 190: 185: 182: 172: 169: 166: 160: 154: 151: 146: 141: 134: 127: 115: 108: 107: 102: 98: 91: 90: 84: 79: 78:Original file 70: 66: 62: 58: 54: 50: 44: 39: 33: 30: 28: 25: 23: 20: 18: 15: 681: 678: 669:Logistic map 598: 595:File history 579:6 April 2024 293: 287: 276: 270: 196:6 April 2024 183: 180: 170: 167: 164: 158: 152: 149: 144: 114:You can help 104: 76: 22:File history 472:copyrighted 294:share alike 288:attribution 136:Description 655:File usage 612:Dimensions 388:some value 27:File usage 609:Thumbnail 606:Date/Time 564:inception 225:Licensing 145:English: 675:Metadata 638:(140 KB) 332:Captions 277:to remix 271:to share 262:license. 206:Own work 32:Metadata 623:current 618:Comment 373:creator 356:depicts 336:English 128:Summary 80:‎ 699:2880pt 696:Height 691:2880pt 212:Author 202:Source 688:Width 615:User 319:true 316:true 192:Date 17:File 428:URL 186:``` 431:: 416:: 403:: 67:| 63:| 59:| 55:| 51:| 45:. 116:. 71:.

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