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File:Intermittency in logistic map, cobweb diagram.png

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x_next = logistic_map_3(x_cobweb, r) x_cobweb.append(x_cobweb) y_cobweb.append(x_next) x_cobweb.append(x_next) y_cobweb.append(x_next)
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plt.plot(x_values, y_values, label='Logistic map', color='blue') plt.plot(x_values, x_values, label='y = x', color='green')
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plt.xlabel('x') plt.ylabel('x_next') plt.legend() plt.title('Cobweb diagram for the logistic map with r = 3.8284')
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If the file has been modified from its original state, some details may not fully reflect the modified file.
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The following pages on the English Knowledge use this file (pages on other projects are not listed):
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I, the copyright holder of this work, hereby publish it under the following license:
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x_values = np.linspace(0, 1, 1000) y_values = logistic_map_3(x_values, r)
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Uploaded while editing "Intermittency" on en.wikipedia.org
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return logistic_map(logistic_map(logistic_map(x, r), r), r)
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Add a one-line explanation of what this file represents
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plt.plot(x_cobweb, y_cobweb, color='red', alpha=0.5)
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Commons is a freely licensed media file repository.
123:import numpy as np import matplotlib.pyplot as plt 111:Intermittency in logistic map, cobweb diagram.png 47:Intermittency_in_logistic_map,_cobweb_diagram.png 740:Matplotlib version3.7.1, https://matplotlib.org/ 457:https://commons.wikimedia.org/User:Cosmia_Nebula 138:r = 3.8284 x_initial = 0.19 num_iterations = 75 51:(567 × 455 pixels, file size: 42 KB, MIME type: 305:https://creativecommons.org/licenses/by-sa/4.0 66: 311:Creative Commons Attribution-Share Alike 4.0 235: 189: 108: 209: 199: 14: 271:– to copy, distribute and transmit the work 258:Attribution-Share Alike 4.0 International 142:Generate x values for the cobweb plot 97: 640: 246: 241: 13: 722: 342: 336: 232: 228: 115: 98: 44: 772: 729: 341: 708: 327: 282:Under the following conditions: 253:This file is licensed under the 245: 240: 234: 157:for i in range(num_iterations): 65: 21: 324: 116: 41:No higher resolution available. 644: 323: 26: 1: 590:original creation by uploader 564:original creation by uploader 31: 704: 349:Items portrayed in this file 222: 7: 719: 10: 777: 296:same or compatible license 132:def logistic_map_3(x, r): 105: 100: 641: 203: 16: 326: 262: 154:x_cobweb = y_cobweb = 126:def logistic_map(x, r): 72:This is a file from the 36: 698: 192: 129:return r * x * (1 - x) 76:. Information from its 79:description page there 749:Horizontal resolution 172:Plot the cobweb lines 164:Plot the logistic map 150:Generate cobweb lines 677:21:20, 18 April 2023 757:Vertical resolution 277:– to adapt the work 435:Wikimedia username 422:author name string 377:Wikimedia username 369:author name string 764: 763: 702: 530:copyright license 516:copyright license 335: 219: 218: 94: 93: 74:Wikimedia Commons 768: 742: 730: 689: 651: 486:copyright status 472:copyright status 459: 454: 444: 439: 429: 426: 333: 318: 315: 312: 309: 306: 298:as the original. 255:Creative Commons 249: 248: 244: 243: 238: 237: 205: 195: 120: 112: 106: 90: 69: 68: 62: 56: 54: 776: 775: 771: 770: 769: 767: 766: 765: 738: 718: 710: 703: 695: 687: 643: 642: 639: 638: 637: 636: 635: 634: 633: 632: 630: 620: 619: 618: 616: 601: 600: 599: 598: 597: 596: 595: 594: 592: 580: 579: 578: 576: 557: 556: 555: 554: 553: 552: 551: 550: 548: 536: 535: 534: 532: 513: 512: 511: 510: 509: 508: 507: 506: 504: 492: 491: 490: 488: 469: 468: 467: 466: 465: 464: 463: 462: 461: 460: 455: 452: 446: 445: 440: 437: 431: 430: 427: 424: 415: 414: 413: 411: 401: 400: 399: 397: 362: 361: 360: 359: 358: 356: 340: 339: 338: 321: 320: 319: 316: 313: 310: 307: 304: 303: 261: 250: 231: 230: 225: 220: 185: 161: 136: 130: 110: 103: 96: 95: 84: 83: 82:is shown below. 58: 52: 50: 43: 42: 12: 11: 5: 774: 762: 761: 758: 754: 753: 750: 746: 745: 744: 743: 734: 721: 717: 716: 706: 701: 700: 697: 693: 690: 684: 679: 674: 670: 669: 666: 663: 660: 657: 654: 646: 631: 628: 626: 625: 624: 622: 621: 617: 612: 610: 609: 608: 607: 605: 593: 588: 586: 585: 584: 582: 581: 577: 574:source of file 572: 570: 569: 568: 567: 565: 561: 560:source of file 549: 544: 542: 541: 540: 538: 537: 533: 528: 526: 525: 524: 523: 521: 517: 505: 500: 498: 497: 496: 494: 493: 489: 484: 482: 481: 480: 479: 477: 473: 448: 447: 433: 432: 420: 419: 418: 417: 416: 412: 409: 407: 406: 405: 403: 402: 398: 393: 391: 390: 389: 388: 386: 382: 378: 374: 370: 366: 357: 352: 350: 347: 346: 345: 344: 332: 331: 328: 325: 302: 301: 300: 299: 289: 280: 279: 278: 272: 265:You are free: 252: 251: 233: 227: 226: 224: 221: 217: 216: 211: 207: 206: 201: 197: 196: 191: 187: 186: 174: 173: 166: 165: 159: 152: 151: 144: 143: 134: 128: 113: 104: 102: 99: 92: 91: 70: 60: 59: 40: 35: 34: 29: 24: 19: 9: 6: 4: 3: 2: 773: 759: 756: 755: 751: 748: 747: 741: 737: 736: 735: 733:Software used 732: 731: 728: 725: 715: 714:Intermittency 712: 711: 696: 694:Cosmia Nebula 691: 685: 683: 680: 678: 675: 672: 671: 667: 664: 661: 658: 655: 653: 652: 650: 629:18 April 2023 627: 615: 611: 591: 587: 575: 571: 547: 543: 531: 527: 503: 499: 487: 483: 458: 451: 443: 442:Cosmia Nebula 436: 428:Cosmia Nebula 423: 408: 396: 392: 373:Cosmia Nebula 355: 351: 348: 329: 322: 308:CC BY-SA 4.0 297: 293: 290: 287: 284: 283: 281: 276: 273: 270: 267: 266: 264: 263: 259: 256: 239: 215: 214:Cosmia Nebula 212: 208: 202: 198: 194:18 April 2023 188: 183: 180: 177: 171: 170: 169: 163: 162: 158: 155: 149: 148: 147: 141: 140: 139: 133: 127: 124: 119: 114: 107: 88: 81: 80: 75: 71: 64: 63: 57: 48: 39: 33: 30: 28: 25: 23: 20: 18: 15: 726: 723: 648: 645:File history 291: 285: 274: 268: 181: 178: 175: 167: 156: 153: 145: 137: 131: 125: 122: 117: 87:You can help 77: 45: 22:File history 502:copyrighted 476:copyrighted 292:share alike 286:attribution 182:plt.show() 109:Description 705:File usage 686:567 × 455 662:Dimensions 410:some value 121:```python 27:File usage 760:39.37 dpc 752:39.37 dpc 659:Thumbnail 656:Date/Time 614:inception 604:inception 223:Licensing 118:English: 53:image/png 720:Metadata 330:Captions 275:to remix 269:to share 260:license. 204:Own work 32:Metadata 688:(42 KB) 673:current 668:Comment 395:creator 365:creator 354:depicts 334:English 101:Summary 49:‎ 210:Author 200:Source 665:User 317:true 314:true 190:Date 17:File 450:URL 381:URL 184:``` 453:: 438:: 425:: 89:. 55:)

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File:Intermittency in logistic map, cobweb diagram.png
Intermittency_in_logistic_map,_cobweb_diagram.png
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Cosmia Nebula
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