File:PWLDuffingAttractor.svg
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Summary edit
| Description |
English: PWL Duffing chaotic attractor |
| Date | |
| Source | Own work |
| Author | Shiyu Ji |
Python/Matplotlib Code edit
# An Euler method based simulation of the PWL Duffing chaotic Attractor with i=-15.
import matplotlib.pyplot as pl
import numpy as np
t0 = 0.0
dt = 0.01
t_final = 1000
T = np.arange(t0, t_final, dt)
i, e = -14.0, .25
gamma, m0, m1, omega = .14+i/20, -.0845, .66, 1.0
ax = pl.figure().add_subplot(111)
ax.set_xlabel('X')
ax.set_ylabel('Y')
x, y = 0.0, 0.0
for t in T:
new_x = x + y * dt
new_y = y + (-m1*x - (m0-m1)/2*(abs(x+1)-abs(x-1)) - e*y + gamma*np.cos(omega*t)) * dt
ax.plot([x, new_x], [y, new_y], 'b-', linewidth=0.5)
x, y = new_x, new_y
pl.show()
Licensing edit
I, the copyright holder of this work, hereby publish it under the following license:
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- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 09:21, 11 November 2016 | | 720 × 540 (19.79 MB) | Shiyu Ji (talk | contribs) | User created page with UploadWizard |
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