diff --git a/examples/trigonometric potential.ipynb b/examples/trigonometric potential.ipynb index 5fb380a..dfd24d3 100644 --- a/examples/trigonometric potential.ipynb +++ b/examples/trigonometric potential.ipynb @@ -1,7 +1,7 @@ { "metadata": { "name": "", - "signature": "sha256:a002ce2fcf7253e137a498218483d371ff1d45c80b48943516c487c0f3686f10" + "signature": "sha256:dc482bdadd5a811af5f4d0d30bc1524553bf5e7d1801f768963afabf0e7f388b" }, "nbformat": 3, "nbformat_minor": 0, @@ -14,22 +14,24 @@ "input": [ "import sympy as sp\n", "import numpy as np\n", - "from ode import ode" + "from pyNT.ode import Hamiltonian" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "define the potential, and plot it since we defined it..." + ] + }, { "cell_type": "code", "collapsed": false, "input": [ - "x = sp.Symbol('x')\n", - "y = sp.Symbol('y')\n", - "p = sp.Symbol('p')\n", - "q = sp.Symbol('q')\n", - "\n", "A = 1.\n", "B = 1.\n", "C = 0.5\n", @@ -39,24 +41,6 @@ "def Unp(x, y):\n", " return A*np.cos(x) + B*np.cos(y) + C*np.cos(x)*np.cos(y)\n", "\n", - "H = (p**2 + q**2)/2 + Usp(x, y)\n", - "\n", - "trig_sys = ode(\n", - " x = [x, y, p, q],\n", - " f = [H.diff(p),\n", - " H.diff(q),\n", - " -H.diff(x),\n", - " -H.diff(y)])" - ], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 2 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ "%matplotlib inline\n", "import matplotlib\n", "from mpl_toolkits.mplot3d import axes3d\n", @@ -73,9 +57,9 @@ { "metadata": {}, "output_type": "pyout", - "prompt_number": 3, + "prompt_number": 2, "text": [ - "" + "" ] }, { @@ -83,10 +67,31 @@ "output_type": "display_data", "png": 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BILquH7Y6LhwOk5ubW8gLqKJ6yFWFcIq3/3v3pmAYUkT0SJLEunUyjzyisWxZ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\n1ZgzR41YHBgGLF0aZvDg4r9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VVaskGjUyOf54k9atLWH04IN2yghef12he3er1kmSJEaP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D1TdmXZMpV+/Szef184R6HInz+DqChpKw9x2cqVk9Lj/PkqwSBMnKgzapTJ229HNKHGjjVZs0bl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\nvHkWpUopdu/WGD9eZ+RImy1bNIoUgWrVFEuXip/cDz9IonLpUvaEUHo6z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pRw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bSBA9kE9sIF1rw99FBeQfeBAy4KDNSodWs53wLvpMqVubIvKkqjnTvduSmjnNyUF7tg9+3r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"text": [ - "" + "" ] } ], + "prompt_number": 2 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "x = sp.Symbol('x')\n", + "y = sp.Symbol('y')\n", + "p = sp.Symbol('p')\n", + "q = sp.Symbol('q')\n", + "\n", + "H = (p**2 + q**2)/2 + Usp(x, y)\n", + "\n", + "trig_sys = Hamiltonian(\n", + " q = [x, y],\n", + " p = [p, q],\n", + " H = H)" + ], + "language": "python", + "metadata": {}, + "outputs": [], "prompt_number": 3 }, { @@ -95,7 +100,7 @@ "input": [ "traj = trig_sys.cRK(\n", " 0.01,\n", - " 2**14,\n", + " 2**12,\n", " np.array([[3.14, 3.14 ],\n", " [3.14, 3.14 ],\n", " [0.90, 0.901],\n", @@ -122,9 +127,9 @@ { "metadata": {}, "output_type": "display_data", - "png": 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R+UFz589zVKFpUzZjs0N8PE9/8PIln0N0NG8zNGQflLk5DxAsX57/FiiQvePl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\nHYyHq5zjEcKWCvsVxnavzz+XEOe7kcUv7TM6ihCmY7riyciAnqP/yyp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cei4QzUPTFXHxkcXy9A9P6xYqPU7dOCWlJpaS7//6XlasEClWTGT38cvS89ee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\n7rSyPd4Tb90SOgxaQv3ZVQm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"text": [ - "" + "" ] } ], @@ -134,12 +139,18 @@ "cell_type": "code", "collapsed": false, "input": [ - "evdt = trig_sys.get_evdt(\n", + "evdt0 = trig_sys.get_evdt(\n", " h0 = 2.**(-6),\n", " exp_range = range(4),\n", " nsteps = 2**6,\n", " X0 = np.array([3.14, 3.14, 0.9, 1.61]),\n", - " solver = ['cRK', 'Taylor4'])" + " solver = ['Heun', 'CM2'])\n", + "evdt1 = trig_sys.get_evdt(\n", + " h0 = 2.**(-6),\n", + " exp_range = range(4),\n", + " nsteps = 2**6,\n", + " X0 = np.array([3.14, 3.14, 0.9, 1.61]),\n", + " solver = ['cRK', 'CM4'])" ], "language": "python", "metadata": {}, @@ -148,21 +159,73 @@ "output_type": "stream", "stream": "stdout", "text": [ - "hello\n" + "hello\n", + "hello" + ] + }, + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + "hello" + ] + }, + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n" ] } ], "prompt_number": 6 }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "evdt2 = trig_sys.get_evdt(\n", + " h0 = 2.**(-2),\n", + " exp_range = range(4),\n", + " nsteps = 2**2,\n", + " X0 = np.array([3.14, 3.14, 0.9, 1.61]),\n", + " solver = ['CM6', 'CM8'])" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "hello\n" + ] + } + ], + "prompt_number": 11 + }, { "cell_type": "code", "collapsed": false, "input": [ "fig = plt.figure()\n", "ax = fig.add_subplot(111)\n", - "ax.plot(evdt[:, 0], evdt[:, 2], marker = '.')\n", + "ax.plot(evdt0[:, 0],\n", + " evdt0[:, 2],\n", + " marker = '.',\n", + " label = '2')\n", + "ax.plot(evdt1[:, 0],\n", + " evdt1[:, 2],\n", + " marker = '.',\n", + " label = '4')\n", + "ax.plot(evdt2[:, 0],\n", + " evdt2[:, 2],\n", + " marker = '.',\n", + " label = '6')\n", "ax.set_xscale('log')\n", "ax.set_yscale('log')\n", + "ax.legend(loc = 'best')\n", "ax.grid()" ], "language": "python", @@ -171,13 +234,13 @@ { "metadata": {}, "output_type": "display_data", - "png": 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"text": [ - "" + "" ] } ], - "prompt_number": 7 + "prompt_number": 12 }, { "cell_type": "markdown", @@ -221,7 +284,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 155 + "prompt_number": 8 }, { "cell_type": "code", @@ -232,20 +295,20 @@ "initial_condition[0:2] = np.pi\n", "tmp1 = np.random.randn(ntraj)\n", "tmp2 = np.random.randn(ntraj)\n", - "initial_condition[2] = 3*tmp1 / (tmp1**2 + tmp2**2)**.5\n", - "initial_condition[3] = 3*tmp2 / (tmp1**2 + tmp2**2)**.5" + "initial_condition[2] = 2*tmp1 / (tmp1**2 + tmp2**2)**.5\n", + "initial_condition[3] = 2*tmp2 / (tmp1**2 + tmp2**2)**.5" ], "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 127 + "prompt_number": 29 }, { "cell_type": "code", "collapsed": false, "input": [ "data0 = get_data(\n", - " solver = ['Heun', 'Euler'],\n", + " solver = ['Heun', 'CM2'],\n", " N = 1024,\n", " h0exp = -5,\n", " X0 = initial_condition)" @@ -253,74 +316,62 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 192 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "data01 = get_data(\n", - " solver = ['Heun', 'Euler'],\n", - " N = 1024,\n", - " h0exp = -4,\n", - " X0 = initial_condition)" - ], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 193 + "prompt_number": 52 }, { "cell_type": "code", "collapsed": false, "input": [ "data1 = get_data(\n", - " solver = ['Heun', 'Taylor2'],\n", + " solver = ['Heun', 'CM2'],\n", " N = 1024,\n", - " h0exp = -5,\n", + " h0exp = -6,\n", " X0 = initial_condition)" ], "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 194 + "prompt_number": 58 }, { "cell_type": "code", "collapsed": false, "input": [ - "data2 = get_data(\n", - " solver = ['cRK', 'Taylor4'],\n", - " N = 128,\n", - " h0exp = -5,\n", - " X0 = initial_condition)" + "fig = plt.figure(figsize=(10, 6))\n", + "ax = fig.add_subplot(111)\n", + "ax.plot(data0['t'], data0['eps']/data0['t'],\n", + " label = 'CM2')\n", + "ax.plot(data1['t'], data1['eps']/data1['t'],\n", + " label = 'CM4')\n", + "ax.set_yscale('log')\n", + "ax.set_xscale('log')\n", + "ax.legend(loc = 'best')\n", + "#ax.set_ylim(0, 1)\n", + "plt.show()" ], "language": "python", "metadata": {}, - "outputs": [], - "prompt_number": 201 + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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k6z6FL5HQovAlIuKCFSuciVWzG1O//dh2apet7X5RIuIXCl8iIi5YsQJatcq6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\n5z0HnAJuBH4HhltrD593bXU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+ "text": [ + "" + ] + } + ], + "prompt_number": 59 }, { "cell_type": "code", "collapsed": false, "input": [ - "fig = plt.figure(figsize=(10, 6))\n", + "fig = plt.figure(figsize=(10, 10))\n", "ax = fig.add_subplot(111)\n", - "ax.plot(data0['t'], (np.log(data0['eps']) /\n", - " np.log(data0['t'])),\n", - " label = 'Euler')\n", - "ax.plot(data01['t'], (np.log(data01['eps']) /\n", - " np.log(data01['t'])),\n", - " label = 'Euler, bigger step')\n", - "ax.plot(data1['t'], (np.log(data1['eps']) /\n", - " np.log(data1['t'])),\n", - " label = 'Heun')\n", - "ax.plot(data2['t'], (np.log(data2['eps']) /\n", - " np.log(data2['t'])),\n", - " label = 'cRK')\n", - "ax.set_xscale('log')\n", - "ax.legend(loc = 'best')\n", - "ax.set_ylim(0, 2)\n", + "ax.plot(data0['x0'][:, 0], data0['x0'][:, 1])\n", + "ax.set_xlim(-500, 500)\n", + "ax.set_ylim(-500, 500)\n", "plt.show()" ], "language": "python", @@ -329,13 +380,13 @@ { "metadata": {}, "output_type": "display_data", - "png": 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9v/LqrFeZ8+IcahSvkebrr1yBnj1h+XIICYHq1T1QpEgWoYAlIpIN/LrnVzrP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\nDw0PxiUk0HvXLgbedx+5cujbuYg/0Tp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fP/0T9LB24VpmPzD7rJGuSlvFg/0e5EjpEX45+kv98T8mWQCZFSefp2iwGPDU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SAAAg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"text": [ - "" + "" ] } ], - "prompt_number": 202 + "prompt_number": 66 }, { "cell_type": "code", @@ -343,8 +394,7 @@ "input": [], "language": "python", "metadata": {}, - "outputs": [], - "prompt_number": 13 + "outputs": [] } ], "metadata": {}