File:Intermittency in logistic map, cobweb diagram.png
Summary
| Description |
English: ```python
import numpy as np import matplotlib.pyplot as plt def logistic_map(x, r): return r * x * (1 - x) def logistic_map_3(x, r): return logistic_map(logistic_map(logistic_map(x, r), r), r) r = 3.8284 x_initial = 0.19 num_iterations = 75
x_values = np.linspace(0, 1, 1000) y_values = logistic_map_3(x_values, r)
x_cobweb = [x_initial] y_cobweb = [0] for i in range(num_iterations): x_next = logistic_map_3(x_cobweb[-1], r) x_cobweb.append(x_cobweb[-1]) y_cobweb.append(x_next) x_cobweb.append(x_next) y_cobweb.append(x_next)
plt.plot(x_values, y_values, label='Logistic map', color='blue') plt.plot(x_values, x_values, label='y = x', color='green')
plt.plot(x_cobweb, y_cobweb, color='red', alpha=0.5) plt.xlabel('x') plt.ylabel('x_next') plt.legend() plt.title('Cobweb diagram for the logistic map with r = 3.8284') plt.show() ``` |
| Date | |
| Source | Own work |
| Author | Cosmia Nebula |
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