{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "A8bf2X_smASz"
      },
      "source": [
        "# Lorenz Equations\n",
        "    <Joseph wilkes>\n",
        "    <Class: m437>\n",
        "    <Oct 8th, 2020>"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "SEYHXPgqmAS1"
      },
      "source": [
        "# Notes from class\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "VsSKy9n-mAS1"
      },
      "outputs": [],
      "source": [
        "import numpy as np\n",
        "from scipy.integrate import odeint\n",
        "import matplotlib.pyplot as plt\n",
        "import matplotlib.animation as animation\n",
        "from matplotlib.animation import FuncAnimation as FuncAnimation\n",
        "from mpl_toolkits.mplot3d import Axes3D\n",
        "from scipy.stats import linregress\n",
        "plt.rcParams['animation.ffmpeg_path'] = '/Users/joeywilkes/Desktop/ffmpeg'\n",
        "from IPython import display #one way of visualizing it"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "8jupG6limAS2"
      },
      "outputs": [],
      "source": [
        "# %matplotlib notebook\n",
        "%matplotlib inline"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "5HkXXUqwmAS2"
      },
      "source": [
        "## Problem 1\n",
        "Write a function that implements the Lorenz equations. Let $\\sigma = 10$, $\\rho = 28$, $\\beta = 8$ . Make a 3D plot of a solution to the Lorenz equations for an initial condition where $(x, y, z)$ are drawn randomly from a uniform distribution from −15 to 15. As usual, use `scipy .integrate.odeint` to compute the solution."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "VhiOZpbkmAS3"
      },
      "outputs": [],
      "source": [
        "def lorenz(x,t):\n",
        "    \"\"\"Implements Lorenz equations:\n",
        "\n",
        "    dx/dt = σ(y − x)\n",
        "    dy/dt = ρx − y − xz\n",
        "    dz/dt = xy − βz\n",
        "\n",
        "    Parameters:\n",
        "        x ((3,) ndarray): The state values (x,y,z)\n",
        "        t (float): The time value t\n",
        "    Returns:\n",
        "        ((3,) ndarray): The derivative values\n",
        "    \"\"\"\n",
        "    # s for sigma, p for rho (cuz it looks like a p), b for beta\n",
        "    s,p,b = 10,28,8/3\n",
        "    #s,p,b = 10,28,1\n",
        "    return np.array([\n",
        "        s * (x[1] - x[0])\n",
        "        , p * x[0] - x[1] - x[0] * x[2]\n",
        "        , x[0] * x[1] - b * x[2]\n",
        "    ])"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "UULswyEsmAS3",
        "outputId": "a41be7cf-471d-408e-a6d5-557d40693f90"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 576x576 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "y0 = np.random.uniform(-15,15,size=3)\n",
        "# print(y0)\n",
        "t_final = 50\n",
        "domain = np.linspace(0,t_final,int(5e4))\n",
        "y = odeint(lorenz,y0,domain)\n",
        "\n",
        "# Create figure object.\n",
        "fig = plt.figure(figsize=(8,8))\n",
        "\n",
        "# Create 3D axis object using add_subplot().\n",
        "ax = fig.add_subplot(111, projection='3d')\n",
        "ax.plot(y[:,0],y[:,1],y[:,2])\n",
        "fig.suptitle('Solution for Lorenz Attractor Dynamics')\n",
        "ax.set_xlabel('X',fontsize=18)\n",
        "ax.set_ylabel('Y',fontsize=18)\n",
        "ax.set_zlabel('Z',fontsize=18)\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "oaYroJOJmAS4"
      },
      "source": [
        "## Problem 2\n",
        "To better visualize the Lorenz attractor, produce a single 3D plot displaying three solutions to the Lorenz equations, each with random initial conditions."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "FSVk5fxhmAS4",
        "outputId": "64764579-a496-400f-beb4-6fe3c28dea41"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 576x576 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "# Create figure object.\n",
        "\n",
        "\"really interesting behavior when beta = 4, numsamples = 5, and t_final = 5\"\n",
        "\n",
        "fig = plt.figure(figsize=(8,8))\n",
        "\n",
        "# Create 3D axis object using add_subplot().\n",
        "ax = fig.add_subplot(111, projection='3d')\n",
        "\n",
        "uniform_boundary = 15\n",
        "\n",
        "num_samples = 3\n",
        "for i in range(num_samples):\n",
        "    y0 = np.random.uniform(-uniform_boundary,uniform_boundary,size=3)\n",
        "    # print(y0)\n",
        "    t_final = 100\n",
        "    domain = np.linspace(0,t_final,int(5e4))\n",
        "    y = odeint(lorenz,y0,domain)\n",
        "    #ax.plot(y[:,0],y[:,1],y[:,2],color='blue')\n",
        "    ax.plot(y[:,0],y[:,1],y[:,2])\n",
        "fig.suptitle('Multiple Uniform Initial Conditions in Lorenz Attractor')\n",
        "ax.set_xlabel('X',fontsize=18)\n",
        "ax.set_ylabel('Y',fontsize=18)\n",
        "ax.set_zlabel('Z',fontsize=18)\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "o_V4PkYTmAS4"
      },
      "source": [
        "## Problem 3\n",
        "Use `matplotlib.animation.FuncAnimation` to produce a 3D animation of two solutions to the Lorenz equations with similar initial conditions. To make similar initial conditions, draw $(x_1,y_1,z_1)$ randomly as before, and then produce $(x_2,y_2,z_2)$ by adding a small perturbation: `np.random.randn(3)*(1e-10)`. It will take several seconds before the separation between the two solutions will be noticeable.\n",
        "\n",
        "The animation should have a point marker and the past trajectory curve for each solution. Save your animation as `lorenz_animation1.mp4`.\n",
        "\n",
        "(Recall that you can display the saved animation in a Jupyter notebook by running the follwing code in a markdown cell):\n",
        "\n",
        "`<video src='lorenz_animation1.mp4' controls>`"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "oplC5wLZmAS5"
      },
      "outputs": [],
      "source": [
        "animation.writer = animation.writers['ffmpeg']\n",
        "\n",
        "uniform_boundary = 15\n",
        "y0 = np.random.uniform(-uniform_boundary,uniform_boundary,size=3)\n",
        "y1 = y0 + np.random.random((3,)) / int(1e8)\n",
        "t_final = 500\n",
        "domain = np.linspace(0,t_final,int(5e4))\n",
        "sol_0 = odeint(lorenz,y0,domain)\n",
        "sol_1 = odeint(lorenz,y1,domain)\n",
        "\n",
        "# Create figure object.\n",
        "fig = plt.figure(figsize=(8,8))\n",
        "\n",
        "# Create 3D axis object using add_subplot().\n",
        "ax = fig.add_subplot(111, projection='3d')\n",
        "\n",
        "ALPHA=0.70\n",
        "\n",
        "part1, = plt.plot([],[],[],marker='o',color='blue',alpha=ALPHA,markersize=15)\n",
        "traj1, = plt.plot([],[],[],linestyle='-',alpha=ALPHA,label='original',color='blue')\n",
        "part2, = plt.plot([],[],[],marker='o',color='red',markersize=15)\n",
        "traj2, = plt.plot([],[],[],linestyle='-',alpha=ALPHA,label='perturbation',color='red')\n",
        "\n",
        "ax.set_xlim3d(-30,30)\n",
        "ax.set_ylim3d(-50,50)\n",
        "ax.set_zlim3d(-20,60)\n",
        "\n",
        "def update(i):\n",
        "    # plot the position in 3d space of the position of the first particle\n",
        "    part1.set_data(sol_0[i][0],sol_0[i][1])\n",
        "    part1.set_3d_properties(sol_0[i][2])\n",
        "    # plot the position in 3d space of the position of the second particle\n",
        "    part2.set_data(sol_1[i][0],sol_1[i][1])\n",
        "    part2.set_3d_properties(sol_1[i][2])\n",
        "    # plot the position in 3d space of the trajectory of the first particle\n",
        "    traj1.set_data(sol_0[:i,0],sol_0[:i,1])\n",
        "    traj1.set_3d_properties(sol_0[:i,2])\n",
        "    # plot the position in 3d space of the trajectory of the second particle\n",
        "    traj2.set_data(sol_1[:i,0],sol_1[:i,1])\n",
        "    traj2.set_3d_properties(sol_1[:i,2])\n",
        "\n",
        "    return part1, part2, traj1, traj2\n",
        "\n",
        "ani = FuncAnimation(fig, update, frames=range(5000), interval=15)\n",
        "fig.suptitle('Divergence of Pertubed solutions in Lorenz Attractor')\n",
        "plt.legend(loc='best')\n",
        "ax.set_xlabel('X',fontsize=18)\n",
        "ax.set_ylabel('Y',fontsize=18)\n",
        "ax.set_zlabel('Z',fontsize=18)\n",
        "\n",
        "ani.save(\"lorenz_animation3.mp4\")\n",
        "plt.close()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "YMBPcFWomAS5"
      },
      "source": [
        "#\n",
        "lorenz_animation3 is better than lorenz_animation1"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "bnlekf_WmAS5"
      },
      "outputs": [],
      "source": [
        "# <video src=\"lorenz_animation1.mp4\" controls>"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "jEeQVw3WmAS5"
      },
      "source": [
        "<video src=\"lorenz_animation3.mp4\" controls>"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "K-DFVTfzmAS5"
      },
      "source": [
        "## Problem 4\n",
        "The `odeint` function allows users to specify error tolerances (similar to setting a value of $h$ for a Runge-Kutta method). Using a single random initial condition, produce two approximations by using the odeint arguments `(atol=1e-15, rtol=1e-13)` for the first approximation and `(atol=1e-12, rtol=1e-10)` for the second.\n",
        "As in the previous problem, use `FuncAnimation` to animate both solutions. Save the animation as `lorenz_animation2.mp4`."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "GmdmZia4mAS5"
      },
      "outputs": [],
      "source": [
        "animation.writer = animation.writers['ffmpeg']\n",
        "\n",
        "uniform_boundary = 15\n",
        "y0 = np.random.uniform(-uniform_boundary,uniform_boundary,size=3)\n",
        "# print(y0)\n",
        "t_final = 500\n",
        "domain = np.linspace(0,t_final,int(5e4))\n",
        "# perturb the solutions according to the tolerance in the solver\n",
        "sol_0 = odeint(lorenz,y0,domain,atol=1e-15,rtol=1e-13)\n",
        "sol_1 = odeint(lorenz,y0,domain,atol=1e-12,rtol=1e-10)\n",
        "\n",
        "# Create figure object.\n",
        "fig = plt.figure(figsize=(8,8))\n",
        "\n",
        "# Create 3D axis object using add_subplot().\n",
        "ax = fig.add_subplot(111, projection='3d')\n",
        "\n",
        "ALPHA=0.65\n",
        "\n",
        "part1, = plt.plot([],[],[],marker='o',color='blue',alpha=ALPHA,markersize=15)\n",
        "traj1, = plt.plot([],[],[],linestyle='-',alpha=ALPHA,label='original',color='blue')\n",
        "part2, = plt.plot([],[],[],marker='o',color='red',markersize=15)\n",
        "traj2, = plt.plot([],[],[],linestyle='-',alpha=ALPHA,label='perturbation',color='red')\n",
        "\n",
        "\n",
        "ax.set_xlim3d(-30,30)\n",
        "ax.set_ylim3d(-50,50)\n",
        "ax.set_zlim3d(-20,60)\n",
        "\n",
        "\n",
        "def update(i):\n",
        "    # plot the position in 3d space of the position of the first particle\n",
        "    part1.set_data(sol_0[i][0],sol_0[i][1])\n",
        "    part1.set_3d_properties(sol_0[i][2])\n",
        "    # plot the position in 3d space of the position of the second particle\n",
        "    part2.set_data(sol_1[i][0],sol_1[i][1])\n",
        "    part2.set_3d_properties(sol_1[i][2])\n",
        "    # plot the position in 3d space of the trajectory of the first particle\n",
        "    traj1.set_data(sol_0[:i,0],sol_0[:i,1])\n",
        "    traj1.set_3d_properties(sol_0[:i,2])\n",
        "    # plot the position in 3d space of the trajectory of the second particle\n",
        "    traj2.set_data(sol_1[:i,0],sol_1[:i,1])\n",
        "    traj2.set_3d_properties(sol_1[:i,2])\n",
        "\n",
        "    return part1, part2, traj1, traj2\n",
        "\n",
        "ani = FuncAnimation(fig, update, frames=range(5000), interval=15)\n",
        "fig.suptitle('Divergence of Pertubed solutions in Lorenz Attractor')\n",
        "plt.legend(loc='best')\n",
        "ax.set_xlabel('X',fontsize=18)\n",
        "ax.set_ylabel('Y',fontsize=18)\n",
        "ax.set_zlabel('Z',fontsize=18)\n",
        "\n",
        "ani.save(\"lorenz_animation4.mp4\")\n",
        "plt.close()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Je67hm8HmAS5"
      },
      "source": [
        "#\n",
        "lorenz_animation4 is better than lorenz_animation2"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "M7PZ5uSWmAS5"
      },
      "outputs": [],
      "source": [
        "# <video src=\"lorenz_animation2.mp4\" controls>"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "YMPJSJB1mAS5"
      },
      "source": [
        "<video src=\"lorenz_animation4.mp4\" controls>"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "-tPCRrMemAS5"
      },
      "source": [
        "## Problem 5\n",
        "Estimate the Lyapunov exponent of the Lorenz equations by doing the following:\n",
        "* Produce an initial condition that already lies on the attractor. This can be done by using a random \"dummy\" initial condition, approximating the resulting solution to the Lorenz system for a short time, and then using the endpoint of that solution (which is now on the attractor) as the desired intital condition.\n",
        "* Produce a second initial condition by adding a small perturbation to the first (as before).\n",
        "* For both initial conditions, use `odeint` to produce approximate solutions for $0 \\leq t \\leq 10$.\n",
        "* Compute $||\\delta(t)||$ by taking the norm of the vector difference between the two solutions for each value of $t$.\n",
        "* Use `scipy.stats.linregress` to calculate a best-fit line for $\\log(||\\delta(t)||)$ against $t$.\n",
        "* The slope of the resulting best-fit line is an approximation of the Lyapunov exponent $\\lambda$.\n",
        "\n",
        "Produce a plot similar to Figure 1.3 using `plt.semilogy`.\n",
        "\n",
        "Hint: Remember that the best-fit line you calculated corresponds to a best-fit exponential for $||\\delta(t)||$. If `a` and `b` are the slope and intercept of the best-fit line, the best-fit exponential can be plotted using `plt.semilogy(t,np.exp(a*t+b))`."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "scrolled": true,
        "id": "2lLs-cXmmAS5",
        "outputId": "e12676bd-38c1-4bfc-85e4-7e92044fc34d"
      },
      "outputs": [
        {
          "data": {
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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "# get initial conditions inside attractor\n",
        "y0 = np.random.uniform(-15,15,size=3)\n",
        "t_final = 10\n",
        "domain = np.linspace(0,t_final,int(5e3))\n",
        "y = odeint(lorenz,y0,domain)\n",
        "#print(y.shape) #shape (len(domain),3) #so each row is 3 dimension place in time\n",
        "#this is the initial condition from within the attractor\n",
        "start = y[-1]\n",
        "second = start + np.random.random((3,)) / int(1e8)\n",
        "y1 = odeint(lorenz,start,domain)\n",
        "y2 = odeint(lorenz,second,domain)\n",
        "error = np.linalg.norm(y1 - y2,axis=1)\n",
        "#https://docs.scipy.org/doc/scipy/reference/generated/scipy.stats.linregress.html\n",
        "result = linregress(domain,np.log(error))\n",
        "\n",
        "plt.semilogy(domain,np.exp(result.slope * domain + result.intercept))\n",
        "# plt.semilogy(domain,result.slope * domain + result.intercept)\n",
        "plt.semilogy(domain,error)\n",
        "# plt.semilogy(domain,np.exp(error))\n",
        "plt.title(f'lambda = {np.round(result.slope,2)}')\n",
        "plt.xlabel('Time')\n",
        "plt.ylabel('Separation')\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "zMHRRxKymAS5"
      },
      "outputs": [],
      "source": []
    }
  ],
  "metadata": {
    "kernelspec": {
      "display_name": "Python 3",
      "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": "3.7.3"
    },
    "colab": {
      "provenance": []
    }
  },
  "nbformat": 4,
  "nbformat_minor": 0
}