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@uranix
Last active November 5, 2022 13:11
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "29921c71",
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"\n",
"import matplotlib.pyplot as plt\n",
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "5afc20ae",
"metadata": {},
"outputs": [],
"source": [
"I = np.array([3.0, 2.0, 1.0])"
]
},
{
"cell_type": "markdown",
"id": "c8642750",
"metadata": {},
"source": [
"$$\n",
"I_1 \\dot {\\omega}_1 + (I_3-I_2) \\omega_2 \\omega_3 = 0\\\\\n",
"I_2 \\dot {\\omega}_2 + (I_1-I_3) \\omega_1 \\omega_3 = 0\\\\\n",
"I_3 \\dot {\\omega}_3 + (I_2-I_1) \\omega_1 \\omega_2 = 0\\\\\n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "1845efc7",
"metadata": {},
"outputs": [],
"source": [
"def rhs(w, I):\n",
" b = np.zeros_like(w)\n",
" b[0] = -(I[2] - I[1]) * w[1] * w[2] / I[0]\n",
" b[1] = -(I[0] - I[2]) * w[0] * w[2] / I[1]\n",
" b[2] = -(I[1] - I[0]) * w[0] * w[1] / I[2]\n",
" return b"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "baac95fa",
"metadata": {},
"outputs": [],
"source": [
"dt = 0.01\n",
"w0 = np.array([0.05, 4.0, 0.05])\n",
"T = 100\n",
"\n",
"K0 = 0.5 * (I * w0**2).sum()\n",
"L0 = np.linalg.norm(I * w0)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "14b64554",
"metadata": {},
"outputs": [],
"source": [
"def stepper(step, x0, T, dt):\n",
" x = x0.copy()\n",
" t = 0\n",
" ts = [t]\n",
" xs = [x.copy()]\n",
" while t < T:\n",
" x = step(x, dt)\n",
" t += dt\n",
" ts.append(t)\n",
" xs.append(x.copy())\n",
" return ts, np.array(xs)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "f829404d",
"metadata": {},
"outputs": [],
"source": [
"class Euler:\n",
" def __init__(self, rhs):\n",
" self.rhs = rhs\n",
" \n",
" def __call__(self, x, dt):\n",
" return x + dt * self.rhs(x)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "ac847381",
"metadata": {},
"outputs": [],
"source": [
"class MidPoint:\n",
" def __init__(self, rhs):\n",
" self.rhs = rhs\n",
" \n",
" def __call__(self, x, dt):\n",
" k1 = self.rhs(x)\n",
" k2 = self.rhs(x + 0.5 * dt * k1)\n",
" return x + dt * k2"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "0e8238c1",
"metadata": {},
"outputs": [],
"source": [
"class RK4:\n",
" def __init__(self, rhs):\n",
" self.rhs = rhs\n",
" \n",
" def __call__(self, x, dt):\n",
" k1 = self.rhs(x)\n",
" k2 = self.rhs(x + 0.5 * dt * k1)\n",
" k3 = self.rhs(x + 0.5 * dt * k2)\n",
" k4 = self.rhs(x + dt * k3)\n",
" return x + dt * (k1 + 2*k2 + 2*k3 + k4) / 6"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "1b8a5075",
"metadata": {},
"outputs": [],
"source": [
"def K(I, ws):\n",
" return 0.5 * np.einsum('j,ij,ij->i', I, ws, ws)\n",
"\n",
"def L(I, ws):\n",
" return np.linalg.norm(ws * I, axis=1)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "58d7913d",
"metadata": {},
"outputs": [],
"source": [
"ts1, ws1 = stepper(Euler(lambda w: rhs(w, I)), w0, T, dt)\n",
"L1 = L(I, ws1)\n",
"K1 = K(I, ws1)"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "796fdecf",
"metadata": {},
"outputs": [],
"source": [
"ts2, ws2 = stepper(MidPoint(lambda w: rhs(w, I)), w0, T, dt)\n",
"L2 = L(I, ws2)\n",
"K2 = K(I, ws2)"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "e75652c6",
"metadata": {},
"outputs": [],
"source": [
"ts4, ws4 = stepper(RK4(lambda w: rhs(w, I)), w0, T, dt)\n",
"L4 = L(I, ws4)\n",
"K4 = K(I, ws4)"
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "152d3926",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f4f5c795750>]"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(ts1, K1 / K0 - 1)\n",
"plt.plot(ts1, L1 / L0 - 1)"
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "3ee9d4af",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f4f5c9a4490>]"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(ts2, K2 / K0 - 1)\n",
"plt.plot(ts2, L2 / L0 - 1)"
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "6c0c4c9f",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f4f52d5e150>]"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(ts2, K4 / K0 - 1)\n",
"plt.plot(ts2, L4 / L0 - 1)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "aee3ac07",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"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": "3.7.12"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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