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@yonesuke
Created February 5, 2022 08:10
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{
"cells": [
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [],
"source": [
"import os\n",
"os.environ[\"CUDA_DEVICE_ORDER\"]=\"PCI_BUS_ID\"\n",
"os.environ[\"CUDA_VISIBLE_DEVICES\"]=\"2\""
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [],
"source": [
"import jax.numpy as jnp\n",
"from jax.lax import fori_loop\n",
"from jax import random, jit, vmap\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [],
"source": [
"class Kuramoto:\n",
" def __init__(self, n_oscillator, coupling_const, gamma=1.0, seed=0):\n",
" self.n_oscillator = n_oscillator\n",
" self.K = coupling_const\n",
" self.key = random.PRNGKey(seed)\n",
" self.gamma = gamma\n",
" self.omegas = self.gamma * random.cauchy(self.key, shape=[self.n_oscillator])\n",
"\n",
" def init_thetas(self):\n",
" _, subkey = random.split(self.key)\n",
" return 2.0 * jnp.pi * random.uniform(subkey, shape=[self.n_oscillator])\n",
"\n",
" def forward(self, thetas):\n",
" coss, sins = jnp.cos(thetas), jnp.sin(thetas)\n",
" rx, ry = jnp.mean(coss), jnp.mean(sins)\n",
" return self.omegas + self.K * ry * coss - self.K * rx * sins\n",
"\n",
"@jit\n",
"def orderparameter(thetas):\n",
" rx, ry = jnp.mean(jnp.cos(thetas)), jnp.mean(jnp.sin(thetas))\n",
" return jnp.sqrt(rx*rx + ry*ry)\n"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [],
"source": [
"def rungekutta(func, x, dt):\n",
" k1 = func(x)\n",
" k2 = func(x + 0.5 * dt * k1)\n",
" k3 = func(x + 0.5 * dt * k2)\n",
" k4 = func(x + dt * k3)\n",
" dx = (k1 + 2.0 * k2 + 2.0 * k3 + k4) * dt / 6.0\n",
" return x + dx\n",
"\n",
"def solve_kuramoto(model, dt, t_max):\n",
" func = jit(model.forward)\n",
" update = jit(lambda thetas: rungekutta(func, thetas, dt))\n",
" def body_fun(i, val):\n",
" thetas, rs = val\n",
" next_thetas = update(thetas)\n",
" rs = rs.at[i].set(orderparameter(next_thetas))\n",
" return [next_thetas, rs]\n",
" n_iter = int(t_max / dt)\n",
" init_val = [model.init_thetas(), jnp.zeros(n_iter)]\n",
" _, rs = fori_loop(0, n_iter, body_fun, init_val=init_val)\n",
" return rs"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {},
"outputs": [],
"source": [
"n_oscillator = 10**6\n",
"dt, t_max = 0.05, 400; ts = jnp.arange(0, t_max, dt)\n",
"Ks = jnp.arange(0, 4, 0.05)\n",
"r_K = jit(lambda K: solve_kuramoto(Kuramoto(n_oscillator=n_oscillator, coupling_const=K), dt, t_max))\n",
"orbits = vmap(r_K)(Ks)"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f6aec72c2e0>]"
]
},
"execution_count": 39,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"rs = orbits[:, 6400:].mean(axis=1)\n",
"plt.plot(Ks, rs)\n",
"Kc = 2.0\n",
"true_rs = jnp.array([(0.0 if K<Kc else jnp.sqrt(1.0 - Kc / K)) for K in Ks])\n",
"plt.plot(Ks, true_rs)"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.xlim(0, t_max)\n",
"plt.ylim(0, 1)\n",
"for orbit in orbits:\n",
" plt.plot(ts, orbit)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"interpreter": {
"hash": "645985de8d58b4dcdbdcae739cfaf37a0990d454c20f8294a16e4c93ef28566b"
},
"kernelspec": {
"display_name": "Python 3.9.7 64-bit ('anaconda3-2021.11': pyenv)",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.9.7"
},
"orig_nbformat": 4
},
"nbformat": 4,
"nbformat_minor": 2
}
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