syncro.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[32m\u001b[1m  Activating\u001b[22m\u001b[39m environment at `~/Documents/simulations/Project.toml`\n"
     ]
    }
   ],
   "source": [
    "using Pkg\n",
    "Pkg.activate(\".\")\n",
    "using Plots, DifferentialEquations, Erdos"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "solve_kuramoto_on (generic function with 5 methods)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "function solve_kuramoto_on(graph; T=10., solver=BS3(), reltol=1e-8, abstol=1e-8)\n",
    "    n, A = nv(graph), adjacency_matrix(graph)\n",
    "    ω = 2*pi .* rand(n,1)\n",
    "    θ0 = 2*pi .* rand(n,1)\n",
    "    ℰ(θ,p,t) = ω .- sum(sin.(θ .- transpose(θ)) .* A, dims=2)\n",
    "    ode = ODEProblem(ℰ, θ0, (0.0, T)) \n",
    "    return solve(ode, solver, reltol=reltol, abstol=abstol)\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "graph = CompleteGraph(1000)\n",
    "s = solve_kuramoto_on(graph, T=10)\n",
    "histogram(s(10.) .% 2*pi, nbins=100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "graph = random_regular_graph(1000,20)\n",
    "s = solve_kuramoto_on(graph, T=10)\n",
    "histogram(s(10.) .% 2*pi, nbins=100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {},
   "outputs": [
    {
     "data": {
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      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "graph = random_regular_graph(1000, 7)\n",
    "s = solve_kuramoto_on(graph, T=10)\n",
    "histogram(s(10.) .% 2*pi, nbins=100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {},
   "outputs": [
    {
     "data": {
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     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "graph = erdos_renyi(1000, 7/1000)\n",
    "s = solve_kuramoto_on(graph, T=10)\n",
    "histogram(s(10.) .% 2*pi, nbins=100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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