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To test the generation of particles in this potential with a given energy ```bash diff --git a/Source/test_evolution_chaotic.py b/Source/test_evolution_chaotic.py new file mode 100644 index 0000000..15817da --- /dev/null +++ b/Source/test_evolution_chaotic.py @@ -0,0 +1,94 @@ +#!/usr/bin/env python +""" +Test: Evolution + +Evolve a particle with a given energy in a potential and show the result path +followed by the particle in a given time. + +@ Author: Moussouni, Yaël (MSc student) & Bhat, Junaid Ramzan (MSc student) +@ Institution: Université de Strasbourg, CNRS, Observatoire astronomique + de Strasbourg, UMR 7550, F-67000 Strasbourg, France +@ Date: 2025-01-01 + +Licence: +Order and Chaos in a 2D potential +Copyright (C) 2025 Yaël Moussouni (yael.moussouni@etu.unistra.fr) + Bhat, Junaid Ramzan (junaid-ramzan.bhat@etu.unistra.fr) + +test_evolution.py +Copyright (C) 2025 Yaël Moussouni (yael.moussouni@etu.unistra.fr) + Bhat, Junaid Ramzan (junaid-ramzan.bhat@etu.unistra.fr) + +This program is free software: you can redistribute it and/or modify +it under the terms of the GNU General Public License as published by +the Free Software Foundation; either version 3 of the License, or +(at your option) any later version. + +This program is distributed in the hope that it will be useful, +but WITHOUT ANY WARRANTY; without even the implied warranty of +MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +GNU General Public License for more details. + +You should have received a copy of the GNU General Public License +along with this program. If not, see https://www.gnu.org/licenses/. + +""" + +import numpy as np +import matplotlib.pyplot as plt +import potentials as pot +import energies as ene +import integrator as itg +import initial_conditions as init +import poincare_sections as pcs + +if "YII_1" in plt.style.available: plt.style.use("YII_1") +# Loading matplotlib style... + +# Constants +N_grid = 5000 +h = 0.01 +N_inter = 5000 +eps = 1e-2 + +x_0 = 0.3 +y_0 = 0.1 +E = 1/6 + +# Main +if __name__ == "__main__": + W_part = init.one_part(x_0, y_0,0,0) + POT = pot.hh_potential(W_part)[0] + u_0 = np.sqrt(2 * (E - POT)) + v_0 = 0.0 + + W_part[1,0] = u_0 + W_part[1,1] = v_0 + + pos_t, positions = itg.rk4(0, W_part, h, N_inter, pot.hh_evolution) + + pos_x = positions[:,0,0] + pos_y = positions[:,0,1] + vel_x = positions[:,1,0] + vel_y = positions[:,1,1] + + W_grid = init.mesh_grid(N_grid) + X_grid = W_grid[0] + Y_grid = W_grid[1] + potential = pot.hh_potential(W_grid, position_only=True) + + fig, ax = plt.subplots(1) + + pcm = ax.pcolormesh(X_grid, Y_grid, potential) + line = ax.plot(pos_x, pos_y, color="C3") + fig.colorbar(pcm, label="potential") + + ax.set_xlabel("$x$") + ax.set_ylabel("$y$") + ax.set_aspect("equal") + + plt.savefig("Figs/evolution_chaotic.png") + + plt.show(block=True) + + diff --git a/test_evoluion_chaotic.sh b/test_evoluion_chaotic.sh new file mode 100755 index 0000000..e2f05f5 --- /dev/null +++ b/test_evoluion_chaotic.sh @@ -0,0 +1,4 @@ +#!/usr/bin/env bash + +source activate.sh +venv/bin/python Source/test_evolution_chaotic.py