File:Logistic scaling limit, r=3.56994567.svg
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[edit]DescriptionLogistic scaling limit, r=3.56994567.svg |
English: Logistic scaling limit at r=3.56994567
```python import numpy as np import matplotlib.pyplot as plt def logistic_map(x, r): return r * x * (1 - x) def function_iter(f, n, x, **kwargs): for _ in range(n): x = f(x, **kwargs) return x r = 3.56994567 alpha = 2.502907875 highest_exponent = 8 fig, ax = plt.subplots(figsize=(30, 10)) x_values = np.linspace(0, 1, 100000) y_values = x_values last_n_iter = 0 for n in range(highest_exponent): n_iter = 2**n y_values = function_iter(logistic_map, n_iter - last_n_iter, y_values, r=r) last_n_iter = n_iter ax.plot(0.5+(x_values-0.5)*(-alpha)**(n), 0.5+(y_values-0.5)*(-alpha)**(n), label=f'iteration = {2**n}', alpha=0.1, color='black', linewidth=4) ax.hlines(0.5, 0, 1, linewidth=0.3, alpha=0.8, linestyle='--', color='black')
l_x = 5 ax.set_xlim(0.5-l_x, 0.5+l_x) ax.set_ylim(-6, 4)
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Source | Own work |
Author | Cosmia Nebula |
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current | 00:06, 7 April 2024 | 2,700 × 900 (126 KB) | Cosmia Nebula (talk | contribs) | Uploaded while editing "Feigenbaum function" on en.wikipedia.org |
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