diff --git a/README.md b/README.md index 323b44c71..d3b8b6eda 100644 --- a/README.md +++ b/README.md @@ -47,6 +47,8 @@ The examples directory contain a few notebooks that show how to get started. You * [Simple differential equation](http://nbviewer.jupyter.org/github/JuliaLang/ODE.jl/blob/master/examples/Simple_Differential_Equation.ipynb) * [Lorenz Attractor](http://nbviewer.jupyter.org/github/JuliaLang/ODE.jl/blob/master/examples/Lorenz_Attractor.ipynb) * [Terminal Velocity](http://nbviewer.jupyter.org/github/JuliaLang/ODE.jl/blob/master/examples/Terminal_Velocity.ipynb) +* [Duffing oscillator](http://nbviewer.jupyter.org/github/YingboMa/ODE.jl/blob/57689392f2a03d713b9d3f38cdef37855c816457/examples/Duffing_oscillator.ipynb) +* [Van der Pol oscillator](http://nbviewer.jupyter.org/github/YingboMa/ODE.jl/blob/57689392f2a03d713b9d3f38cdef37855c816457/examples/Van_der_Pol_oscillator.ipynb) # Need something long-term reliable right now? diff --git a/examples/Duffing_oscillator.ipynb b/examples/Duffing_oscillator.ipynb new file mode 100644 index 000000000..22d7afbce --- /dev/null +++ b/examples/Duffing_oscillator.ipynb @@ -0,0 +1,346 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Duffing Oscillator\n", + "\n", + "---\n", + "\n", + "This notebook implements the [Duffing oscillator](http://www.scholarpedia.org/article/Duffing_oscillator) in Julia. Similer to the [Lorenz Attractor](https://github.com/JuliaLang/ODE.jl/blob/master/examples/Lorenz_Attractor.ipynb), Duffing oscillator is also a chaotic attractor system.\n", + "\n", + "![Duffing Oscillator](https://upload.wikimedia.org/wikipedia/commons/thumb/6/64/Forced_Duffing_equation_Poincaré_section.png/638px-Forced_Duffing_equation_Poincaré_section.png)\n", + "\n", + "Image courtesy of [WikiMedia](https://upload.wikimedia.org/wikipedia/commons/thumb/6/64/Forced_Duffing_equation_Poincaré_section.png/638px-Forced_Duffing_equation_Poincaré_section.png)\n", + "\n", + "The Duffing oscillator is formally described by a second-order differential equation. In the following equations, $t$ represents time, $\\delta$ is the dumping constant, $\\gamma$ is the forcing amplitude, $\\omega$ is the angular velocity, and the $x$ is the function of position. When $\\beta > 0$ the duffing oscillator can be interpreted as a forced oscillator. The force can be written as $F = - \\beta x - \\alpha x^3$. When $\\alpha > 0$, this spring is called a hardening spring, and, when $\\alpha<0$, it is called a softening spring although this interpretation is valid only for small x (Thompson and Stewart, 2002).\n", + "\n", + "![Parameters](http://www.scholarpedia.org/w/images/5/51/Duffing-RestoringForce.gif)\n", + "\n", + "Image courtesy of [Scholarpedia](http://www.scholarpedia.org/w/images/5/51/Duffing-RestoringForce.gif)\n", + "\n", + "$$ \\frac{d^2x}{dt^2} + \\delta \\frac{dx}{dt} + \\beta x + \\alpha x^3 = \\gamma cos ( \\omega t ) $$\n", + "\n", + "---\n", + "\n", + "In order to use the ODE.jl package to solve this problem. We need to rewrite this second-oder differential equation into a system of first-order differential equations as following.\n", + "\n", + "$$ \\begin{cases} \n", + " v'(t) = \\gamma cos ( \\omega t ) - ( \\delta v + \\beta x + \\alpha x^3 )\n", + " \\\\\\\\ \n", + " x'(t) = v(t)\n", + "\\end{cases} $$" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "using ODE;\n", + "using PyPlot;" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "function duffing_oscillator(t, y)\n", + " (v, x) = y\n", + "\n", + " v_prime = γ * cos(ω * t) - (δ * v + β * x + α * x^3)\n", + " x_prime = v\n", + "\n", + " [v_prime, x_prime]\n", + "end;" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Set parameters values" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "α = 1;\n", + "β = -1;\n", + "δ = 0.2;\n", + "γ = 0.3;\n", + "ω = 1;" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Set initial values and time interval. Attention: The initial values have to correspond to what the previous\n", + "function returns." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "start = [1.0, pi - 1e-3];\n", + "time = [0:0.0125:200;];\n", + "tspan_warming_up = [0:0.0125:1;];" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Warm up the JIT with a small time span" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "ODE.ode78(duffing_oscillator, start, tspan_warming_up);\n", + "ODE.ode23s(duffing_oscillator, start, tspan_warming_up);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Using different solvers and different tolerances (The comparison will be in the following notebook)\n", + "\n", + "ode78 is an adaptive explicit [Runge-Kutta](https://en.wikipedia.org/wiki/Runge–Kutta_methods) solver, and ode23s (better for stiff problem, but slower than explicit) is a implicit [Runge-Kutta](https://en.wikipedia.org/wiki/Runge–Kutta_methods) solver.\n", + "\n", + "The lower the tolerance values are the smaller the step size the solver will use. Therefore, small tol (tolerance) will give us a more accurate result.\n", + "\n", + "Since the ode23s runs slowly, it is better to run with a relatively higher tolerance." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " 0.124077 seconds (1.73 M allocations: 35.325 MB, 7.58% gc time)\n", + " 0.084589 seconds (1.88 M allocations: 38.138 MB, 7.83% gc time)\n", + " 8.917763 seconds (23.34 M allocations: 2.057 GB, 3.80% gc time)\n", + " 11.179722 seconds (27.26 M allocations: 2.416 GB, 4.41% gc time)\n" + ] + } + ], + "source": [ + "@time (t1, y1) = ode78(duffing_oscillator, start, time, points=:specified, reltol = 1e-16, abstol = 1e-16);\n", + "@time (t2, y2) = ode78(duffing_oscillator, start, time, points=:specified, reltol = 5e-17, abstol = 5e-17);\n", + "@time (t3, y3) = ode23s(duffing_oscillator, start, time, points=:specified, reltol = 1e-9, abstol = 1e-9);\n", + "@time (t4, y4) = ode23s(duffing_oscillator, start, time, points=:specified, reltol = 5e-10, abstol = 5e-10);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Exctract velocity $x'(t)$ and position $x(t)$ arrays" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "velocity1 = map(f -> f[1], y1);\n", + "position1 = map(f -> f[2], y1);\n", + "velocity2 = map(f -> f[1], y2);\n", + "position2 = map(f -> f[2], y2);\n", + "velocity3 = map(f -> f[1], y3);\n", + "position3 = map(f -> f[2], y3);\n", + "velocity4 = map(f -> f[1], y4);\n", + "position4 = map(f -> f[2], y4);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Plot a [limit cycle](https://en.wikipedia.org/wiki/Limit_cycle) graph of this system" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false, + "scrolled": true + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "PyPlot.Figure(PyObject )" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "PyPlot.plot(position2, velocity2, label=\"Limit Cycle\");\n", + "PyPlot.legend();" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Comparison between ode78 with different tolerances\n", + "\n", + "---\n", + "\n", + "The results of ode78 with lower tolerance (reltol = abstol = 5e-17) and ode78 (reltol = abstol = 1e-16) don't have big differences.\n", + "\n", + "Therefore, the results of ode78 converge." + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "PyPlot.Figure(PyObject )" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "PyPlot.plot(t1, position1, label=\"ode78 lower_tol\");\n", + "PyPlot.plot(t2, position2, label=\"ode78\");\n", + "PyPlot.legend();" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Comparison between ode23s with different tolerances\n", + "\n", + "The results of ode23s solver do not converge." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "PyPlot.Figure(PyObject )" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "PyPlot.plot(t3, position3, label=\"ode23\");\n", + "PyPlot.plot(t4, position4, label=\"ode23 low_tol\");\n", + "PyPlot.legend();" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Differences analysis (Assume ode78 solver with lower tolerance has the best result, since the results of ode78 converge, and it has the lowest tolerance.)\n", + "\n", + "The y-axis is in log scale, the lower the y vaules are the better the results are." + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "PyPlot.Figure(PyObject )" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "diff_ode78 = log(abs(position1 - position2));\n", + "diff_ode78_ode23s = log(abs(position1 - position3));\n", + "diff_ode78_ode23s_low_tol = log(abs(position1 - position4));\n", + "\n", + "PyPlot.plot(t1, diff_ode78, label=\"diff_ode78\");\n", + "PyPlot.plot(t1, diff_ode78_ode23s, label=\"diff_ode78_ode23s\");\n", + "PyPlot.plot(t1, diff_ode78_ode23s_low_tol, label=\"diff_ode78_ode23s_low_tol\");\n", + "PyPlot.legend();" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Julia 0.4.7-pre", + "language": "julia", + "name": "julia-0.4" + }, + "language_info": { + "file_extension": ".jl", + "mimetype": "application/julia", + "name": "julia", + "version": "0.4.7" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/examples/README.md b/examples/README.md index 3dc861bab..d9861ac72 100644 --- a/examples/README.md +++ b/examples/README.md @@ -8,3 +8,5 @@ You can also directly see the result without installing anything. Just follow th * [Simple differential equation](http://nbviewer.jupyter.org/github/JuliaLang/ODE.jl/blob/master/examples/Simple_Differential_Equation.ipynb) * [Lorenz Attractor](http://nbviewer.jupyter.org/github/JuliaLang/ODE.jl/blob/master/examples/Lorenz_Attractor.ipynb) * [Terminal Velocity](http://nbviewer.jupyter.org/github/JuliaLang/ODE.jl/blob/master/examples/Terminal_Velocity.ipynb) +* [Duffing oscillator](http://nbviewer.jupyter.org/github/YingboMa/ODE.jl/blob/57689392f2a03d713b9d3f38cdef37855c816457/examples/Duffing_oscillator.ipynb) +* [Van der Pol oscillator](http://nbviewer.jupyter.org/github/YingboMa/ODE.jl/blob/57689392f2a03d713b9d3f38cdef37855c816457/examples/Van_der_Pol_oscillator.ipynb) diff --git a/examples/Simple_Differential_Equation.ipynb b/examples/Simple_Differential_Equation.ipynb index 3dba69eef..a97ee1d82 100644 --- a/examples/Simple_Differential_Equation.ipynb +++ b/examples/Simple_Differential_Equation.ipynb @@ -177,7 +177,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Julia 0.4.3", + "display_name": "Julia 0.4.7-pre", "language": "julia", "name": "julia-0.4" }, @@ -185,7 +185,7 @@ "file_extension": ".jl", "mimetype": "application/julia", "name": "julia", - "version": "0.4.3" + "version": "0.4.7" } }, "nbformat": 4, diff --git a/examples/Van_der_Pol_oscillator.ipynb b/examples/Van_der_Pol_oscillator.ipynb new file mode 100644 index 000000000..ac3d56789 --- /dev/null +++ b/examples/Van_der_Pol_oscillator.ipynb @@ -0,0 +1,251 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# Van der Pol oscillator\n", + "\n", + "---\n", + "\n", + "This notebook implements the [Van der Pol oscillator](http://www.scholarpedia.org/article/Van_der_Pol_oscillator) in Julia. Similar to the [Duffing oscillator](http://localhost:8888/notebooks/Duffing%20oscillator.ipynb#Duffing-Oscillator), Van der Pol oscillator is also a stiff problem.\n", + "\n", + "![Van der Pol oscillator](https://upload.wikimedia.org/wikipedia/commons/thumb/1/1a/Vanderpol_mu%3D5.svg/500px-Vanderpol_mu%3D5.svg.png)\n", + "\n", + "Image courtesy of [WikiMedia](https://upload.wikimedia.org/wikipedia/commons/thumb/f/fa/VanderPol-lc.svg/278px-VanderPol-lc.svg.png)\n", + "\n", + "![Van der Pol oscillator limit cycle](https://upload.wikimedia.org/wikipedia/commons/thumb/f/fa/VanderPol-lc.svg/278px-VanderPol-lc.svg.png)\n", + "\n", + "Image courtesy of [WikiMedia](https://upload.wikimedia.org/wikipedia/commons/thumb/1/1a/Vanderpol_mu%3D5.svg/500px-Vanderpol_mu%3D5.svg.png)\n", + "\n", + "This system is described by a second-order differential equation. In the following equation, $t$ represents time, and $x$ is the function of position.\n", + "\n", + "$$ \\frac{d^2x}{dt^2} - \\epsilon ( 1 - x^2 ) \\frac{dx}{dt} + x = 0 $$\n", + "\n", + "---\n", + "\n", + "In the following notebook, the system will be solved will be a forced Van der Pol oscillator. Forced Van der Pol oscillator is a chaotic system.\n", + "\n", + "As form:\n", + "\n", + "$$ \\frac{d^2x}{dt^2} - \\epsilon ( 1 - x^2 ) \\frac{dx}{dt} + x = A sin ( \\omega t ) $$\n", + "\n", + "---\n", + "\n", + "In order to use the ODE.jl package to solve this problem. We need to rewrite this second-oder differential equation into a system of first-order differential equations as following.\n", + "\n", + "$$ \\begin{cases} \n", + " v'(t) = \\epsilon ( 1 - x^2 ) v - x + A sin ( \\omega t )\n", + " \\\\\\\\ \n", + " x'(t) = v(t)\n", + "\\end{cases} $$\n", + "\n", + "---\n" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "using PyPlot\n", + "using ODE" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "function VanDerPolOscillator(t, y)\n", + " (v, x) = y\n", + "\n", + " v_prime = ϵ * (1 - x ^ 2) * v - x + A * sin(ω * t)\n", + " x_prime = v\n", + "\n", + " [v_prime, x_prime]\n", + "end;" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Set parameter values Feel free to change ϵ parameter. It can change the stiffness of this system." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "ϵ = 4.0;\n", + "ω = 4*π; # The angular frequency of the forcing.\n", + "A = 3.0; # The amplitude of the forcing." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Set initial values and time interval. Attention: The initial values have to correspond to what the previous function returns." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "start = [0.01, 0.0];\n", + "time = [0:0.0125:50;];\n", + "tspan_warming_up = [0:0.0125:1;];" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Warm up the JIT with a small time span" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "ODE.ode23s(VanDerPolOscillator, start, tspan_warming_up);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Since the Van derr Pol oscillator is a stiff system, it needs to use ode23s to solve it." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "(t, y) = ODE.ode23s(VanDerPolOscillator, start, time, reltol=1e-7, abstol=1e-7);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Extract velocity $x'(t)$ and position $x(t)$" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "velocity = map(f -> f[1], y);\n", + "position = map(f -> f[2], y);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Plot velocity $x'(t)$ and position $x(t)$ in time scale" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "PyPlot.Figure(PyObject )" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "PyPlot.plot(t, velocity, label=\"Velocity\");\n", + "PyPlot.plot(t, position, label=\"Position\");\n", + "legend();" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Plot [limit cycle](https://en.wikipedia.org/wiki/Limit_cycle)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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", 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