Calculate the logistic map for:
s0 = 0.30001 and r = 4 using 51 trials
Logistic Map Table
| n | xn + 1 = rxn(1 - xn) | xn + 1 = rxn(1 - xn) | xn |
|---|---|---|---|
| 0 | 0.30001 | 0.30001 | 0.30001 |
| 1 | 4 x 0.30001(1 - 0.30001) | 4 x 0.30001 x 0.69999 | 0.8400159996 |
| 2 | 4 x 0.8400159996(1 - 0.8400159996) | 4 x 0.8400159996 x 0.1599840004 | 0.53755648006405 |
| 3 | 4 x 0.53755648006405(1 - 0.53755648006405) | 4 x 0.53755648006405 x 0.46244351993595 | 0.99435804322079 |
| 4 | 4 x 0.99435804322079(1 - 0.99435804322079) | 4 x 0.99435804322079 x 0.005641956779206 | 0.02244050041163 |
| 5 | 4 x 0.02244050041163(1 - 0.02244050041163) | 4 x 0.02244050041163 x 0.97755949958837 | 0.087747697411623 |
| 6 | 4 x 0.087747697411623(1 - 0.087747697411623) | 4 x 0.087747697411623 x 0.91225230258838 | 0.32019215604233 |
| 7 | 4 x 0.32019215604233(1 - 0.32019215604233) | 4 x 0.32019215604233 x 0.67980784395767 | 0.87067655700517 |
| 8 | 4 x 0.87067655700517(1 - 0.87067655700517) | 4 x 0.87067655700517 x 0.12932344299483 | 0.45039556034717 |
| 9 | 4 x 0.45039556034717(1 - 0.45039556034717) | 4 x 0.45039556034717 x 0.54960443965283 | 0.99015759826691 |
| 10 | 4 x 0.99015759826691(1 - 0.99015759826691) | 4 x 0.99015759826691 x 0.0098424017330857 | 0.038982115444841 |
| 11 | 4 x 0.038982115444841(1 - 0.038982115444841) | 4 x 0.038982115444841 x 0.96101788455516 | 0.14985004048114 |
| 12 | 4 x 0.14985004048114(1 - 0.14985004048114) | 4 x 0.14985004048114 x 0.85014995951886 | 0.50958002339578 |
| 13 | 4 x 0.50958002339578(1 - 0.50958002339578) | 4 x 0.50958002339578 x 0.49041997660422 | 0.99963289260695 |
| 14 | 4 x 0.99963289260695(1 - 0.99963289260695) | 4 x 0.99963289260695 x 0.00036710739305446 | 0.0014678905008657 |
| 15 | 4 x 0.0014678905008657(1 - 0.0014678905008657) | 4 x 0.0014678905008657 x 0.99853210949913 | 0.0058629431933726 |
| 16 | 4 x 0.0058629431933726(1 - 0.0058629431933726) | 4 x 0.0058629431933726 x 0.99413705680663 | 0.023314276361936 |
| 17 | 4 x 0.023314276361936(1 - 0.023314276361936) | 4 x 0.023314276361936 x 0.97668572363806 | 0.091082883518619 |
| 18 | 4 x 0.091082883518619(1 - 0.091082883518619) | 4 x 0.091082883518619 x 0.90891711648138 | 0.33114716739421 |
| 19 | 4 x 0.33114716739421(1 - 0.33114716739421) | 4 x 0.33114716739421 x 0.66885283260579 | 0.88595488368401 |
| 20 | 4 x 0.88595488368401(1 - 0.88595488368401) | 4 x 0.88595488368401 x 0.11404511631599 | 0.40415531104186 |
| 21 | 4 x 0.40415531104186(1 - 0.40415531104186) | 4 x 0.40415531104186 x 0.59584468895814 | 0.96325518239407 |
| 22 | 4 x 0.96325518239407(1 - 0.96325518239407) | 4 x 0.96325518239407 x 0.036744817605931 | 0.14157854394015 |
| 23 | 4 x 0.14157854394015(1 - 0.14157854394015) | 4 x 0.14157854394015 x 0.85842145605985 | 0.48613623934375 |
| 24 | 4 x 0.48613623934375(1 - 0.48613623934375) | 4 x 0.48613623934375 x 0.51386376065625 | 0.99923118456186 |
| 25 | 4 x 0.99923118456186(1 - 0.99923118456186) | 4 x 0.99923118456186 x 0.00076881543813501 | 0.0030728974438284 |
| 26 | 4 x 0.0030728974438284(1 - 0.0030728974438284) | 4 x 0.0030728974438284 x 0.99692710255617 | 0.012253818980512 |
| 27 | 4 x 0.012253818980512(1 - 0.012253818980512) | 4 x 0.012253818980512 x 0.98774618101949 | 0.048414651603621 |
| 28 | 4 x 0.048414651603621(1 - 0.048414651603621) | 4 x 0.048414651603621 x 0.95158534839638 | 0.18428269245488 |
| 29 | 4 x 0.18428269245488(1 - 0.18428269245488) | 4 x 0.18428269245488 x 0.81571730754512 | 0.60129032686585 |
| 30 | 4 x 0.60129032686585(1 - 0.60129032686585) | 4 x 0.60129032686585 x 0.39870967313415 | 0.95896107873364 |
| 31 | 4 x 0.95896107873364(1 - 0.95896107873364) | 4 x 0.95896107873364 x 0.041038921266361 | 0.15741891283062 |
| 32 | 4 x 0.15741891283062(1 - 0.15741891283062) | 4 x 0.15741891283062 x 0.84258108716938 | 0.53055279485537 |
| 33 | 4 x 0.53055279485537(1 - 0.53055279485537) | 4 x 0.53055279485537 x 0.46944720514463 | 0.9962661069061 |
| 34 | 4 x 0.9962661069061(1 - 0.9962661069061) | 4 x 0.9962661069061 x 0.003733893093898 | 0.014879804545046 |
| 35 | 4 x 0.014879804545046(1 - 0.014879804545046) | 4 x 0.014879804545046 x 0.98512019545495 | 0.058633583846987 |
| 36 | 4 x 0.058633583846987(1 - 0.058633583846987) | 4 x 0.058633583846987 x 0.94136641615301 | 0.22078274676898 |
| 37 | 4 x 0.22078274676898(1 - 0.22078274676898) | 4 x 0.22078274676898 x 0.77921725323102 | 0.6881509019925 |
| 38 | 4 x 0.6881509019925(1 - 0.6881509019925) | 4 x 0.6881509019925 x 0.3118490980075 | 0.85839695231763 |
| 39 | 4 x 0.85839695231763(1 - 0.85839695231763) | 4 x 0.85839695231763 x 0.14160304768237 | 0.48620649827773 |
| 40 | 4 x 0.48620649827773(1 - 0.48620649827773) | 4 x 0.48620649827773 x 0.51379350172227 | 0.99923895724095 |
| 41 | 4 x 0.99923895724095(1 - 0.99923895724095) | 4 x 0.99923895724095 x 0.00076104275904876 | 0.0030418542918706 |
| 42 | 4 x 0.0030418542918706(1 - 0.0030418542918706) | 4 x 0.0030418542918706 x 0.99695814570813 | 0.012130405657351 |
| 43 | 4 x 0.012130405657351(1 - 0.012130405657351) | 4 x 0.012130405657351 x 0.98786959434265 | 0.047933035663755 |
| 44 | 4 x 0.047933035663755(1 - 0.047933035663755) | 4 x 0.047933035663755 x 0.95206696433625 | 0.18254183902325 |
| 45 | 4 x 0.18254183902325(1 - 0.18254183902325) | 4 x 0.18254183902325 x 0.81745816097675 | 0.59688126411704 |
| 46 | 4 x 0.59688126411704(1 - 0.59688126411704) | 4 x 0.59688126411704 x 0.40311873588296 | 0.96245608265234 |
| 47 | 4 x 0.96245608265234(1 - 0.96245608265234) | 4 x 0.96245608265234 x 0.03754391734766 | 0.14453748647141 |
| 48 | 4 x 0.14453748647141(1 - 0.14453748647141) | 4 x 0.14453748647141 x 0.85546251352859 | 0.49458560590374 |
| 49 | 4 x 0.49458560590374(1 - 0.49458560590374) | 4 x 0.49458560590374 x 0.50541439409626 | 0.99988273734628 |
| 50 | 4 x 0.99988273734628(1 - 0.99988273734628) | 4 x 0.99988273734628 x 0.00011726265371848 | 0.00046899561275407 |
0.00046899561275407
You have 2 free calculationss remaining
What is the Answer?
0.00046899561275407
How does the Logistic Map Calculator work?
Free Logistic Map Calculator - Given r, x0 and (n) trials, this will display the logistic map.
This calculator has 3 inputs.
This calculator has 3 inputs.
What 1 formula is used for the Logistic Map Calculator?
What 3 concepts are covered in the Logistic Map Calculator?
- iteration
- the process of doing something again and again, usually to improve it, or one of the times you do it:
- logistic map
- a polynomial mapping (equivalently, recurrence relation) of degree 2. it gives a way of predicting how a population of animals will grow or shrink over time
- trial
- a single performance of well-defined experiment
Logistic Map Calculator Video
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