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79 lines
2.4 KiB
Python
79 lines
2.4 KiB
Python
#!/usr/bin/env python
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"""
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Test: Initial Conditions With a Given Energy
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Sample random particles with the same given energy in a valid coordinates range.
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@ Author: Moussouni, Yaël (MSc student) & Bhat, Junaid Ramzan (MSc student)
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@ Institution: Université de Strasbourg, CNRS, Observatoire astronomique
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de Strasbourg, UMR 7550, F-67000 Strasbourg, France
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@ Date: 2025-01-01
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Licence:
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Order and Chaos in a 2D potential
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Copyright (C) 2025 Yaël Moussouni (yael.moussouni@etu.unistra.fr)
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Bhat, Junaid Ramzan (junaid-ramzan.bhat@etu.unistra.fr)
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test_initial_E.py
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Copyright (C) 2025 Yaël Moussouni (yael.moussouni@etu.unistra.fr)
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Bhat, Junaid Ramzan (junaid-ramzan.bhat@etu.unistra.fr)
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This program is free software: you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation; either version 3 of the License, or
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(at your option) any later version.
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This program is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with this program. If not, see https://www.gnu.org/licenses/.
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"""
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import numpy as np
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import matplotlib.pyplot as plt
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import potentials as pot
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import energies as ene
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import integrator as itg
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import initial_conditions as init
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import poincare_sections as pcs
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if "YII_1" in plt.style.available: plt.style.use("YII_1")
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# Loading matplotlib style...
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# parameters
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N_grid = 1000
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N_inter = 30000
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N_part = 100
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E = 1/12
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h = 0.01
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if __name__ == "__main__":
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# Initial conditions
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W_grid = init.mesh_grid(N_grid, xmin=-1, xmax=1, ymin=-1, ymax=1)
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X_grid = W_grid[0]
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Y_grid = W_grid[1]
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potential = pot.hh_potential(W_grid, position_only=True)
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pot_valid = np.ma.masked_where(potential > E, potential)
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W_all_part = init.n_energy_part(pot.hh_potential, N_part, E)
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# Plot
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fig, ax = plt.subplots(1)
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pcm = ax.pcolormesh(X_grid, Y_grid, pot_valid, vmin = 0)
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sct = ax.scatter(W_all_part[0, 0], W_all_part[0, 1], s=1, color="C3")
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fig.colorbar(pcm, label="potential")
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ax.set_title("$E = {:.2f}$".format(E))
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ax.set_xlabel("$x$")
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ax.set_ylabel("$y$")
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ax.set_aspect("equal")
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fig.savefig("Figs/initial_E.png")
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plt.show(block=True)
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