{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "d749f34d",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-06-19T08:12:22.192691Z",
     "iopub.status.busy": "2026-06-19T08:12:22.192436Z",
     "iopub.status.idle": "2026-06-19T08:12:27.465159Z",
     "shell.execute_reply": "2026-06-19T08:12:27.464332Z"
    },
    "tags": [
     "remove-cell"
    ]
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "An NVIDIA GPU may be present on this machine, but a CUDA-enabled jaxlib is not installed. Falling back to cpu.\n"
     ]
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "import brainmass\n",
    "import brainstate\n",
    "import brainunit as u\n",
    "import jax.numpy as jnp\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "brainstate.random.seed(0)\n",
    "brainstate.environ.set(dt=0.1 * u.ms)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2c543260",
   "metadata": {},
   "source": [
    "# Kuramoto Phase Oscillators\n",
    "\n",
    "The **Kuramoto model** is the canonical model of synchronization in a population of coupled phase oscillators. Each oscillator $i$ has a natural frequency $\\omega_i$ and is pulled toward its neighbours' phases:\n",
    "\n",
    "$$\\dot\\theta_i = \\omega_i + \\frac{K}{N}\\sum_j W_{ij}\\sin(\\theta_j - \\theta_i).$$\n",
    "\n",
    "Below a critical coupling $K_c$ the oscillators drift incoherently; above it they synchronize. Global coherence is measured by the Kuramoto order parameter $R = |\\frac{1}{N}\\sum_j e^{i\\theta_j}|$, which rises from ~0 (incoherent) to ~1 (fully synchronized).\n",
    "\n",
    "**Reference:** Kuramoto (1975), *Self-entrainment of a population of coupled nonlinear oscillators*, in International Symposium on Mathematical Problems in Theoretical Physics."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1a82b976",
   "metadata": {},
   "source": [
    "## Build the model\n",
    "\n",
    "We build a population of `N = 50` all-to-all coupled oscillators with heterogeneous natural frequencies."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "a69ff2f4",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-06-19T08:12:27.468514Z",
     "iopub.status.busy": "2026-06-19T08:12:27.467661Z",
     "iopub.status.idle": "2026-06-19T08:12:27.851607Z",
     "shell.execute_reply": "2026-06-19T08:12:27.850693Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "KuramotoNetwork(\n",
       "  in_size=(50,),\n",
       "  out_size=(50,),\n",
       "  omega=Const(\n",
       "    fit=False,\n",
       "    t=IdentityT(),\n",
       "    reg=None,\n",
       "    val=array([0.26726323, 0.38929582, 1.0616633 , 0.89393497, 0.7714078 ,\n",
       "           0.6464344 , 0.65553415, 1.0891497 , 0.6068392 , 1.6390607 ,\n",
       "           0.9431283 , 1.2892036 , 0.6096699 , 0.7753918 , 0.8881005 ,\n",
       "           1.1328372 , 0.6429101 , 0.9792233 , 0.71318233, 0.4123708 ,\n",
       "           0.6682017 , 0.90339845, 1.399099  , 1.2436711 , 0.6523528 ,\n",
       "           0.8370276 , 1.2423491 , 1.4963813 , 0.87720704, 1.0161666 ,\n",
       "           0.8054836 , 0.46972126, 0.93654096, 1.2767292 , 0.6103365 ,\n",
       "           0.78553677, 0.27926868, 0.4968717 , 0.85904926, 0.4855122 ,\n",
       "           0.40338105, 0.5047833 , 0.91766524, 0.7843089 , 1.1179159 ,\n",
       "           0.7176786 , 1.5749897 , 1.1670102 , 0.97626454, 1.2301239 ],\n",
       "          dtype=float32)\n",
       "  ),\n",
       "  K=Const(\n",
       "    fit=False,\n",
       "    t=IdentityT(),\n",
       "    reg=None,\n",
       "    val=Array(2., dtype=float32)\n",
       "  ),\n",
       "  alpha=Const(\n",
       "    fit=False,\n",
       "    t=IdentityT(),\n",
       "    reg=None,\n",
       "    val=Array(0., dtype=float32)\n",
       "  ),\n",
       "  conn=array([[1., 1., 1., ..., 1., 1., 1.],\n",
       "         [1., 1., 1., ..., 1., 1., 1.],\n",
       "         [1., 1., 1., ..., 1., 1., 1.],\n",
       "         ...,\n",
       "         [1., 1., 1., ..., 1., 1., 1.],\n",
       "         [1., 1., 1., ..., 1., 1., 1.],\n",
       "         [1., 1., 1., ..., 1., 1., 1.]], shape=(50, 50)),\n",
       "  normalize_by_n=True,\n",
       "  exclude_self=True,\n",
       "  init_theta=Uniform(low=0.0, high=6.283185307179586)\n",
       ")"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "N = 50\n",
    "omega = np.asarray(brainstate.random.normal(1.0, 0.3, N))\n",
    "node = brainmass.KuramotoNetwork(in_size=N, omega=omega, K=2.0,\n",
    "                                 conn=np.ones((N, N)))\n",
    "node"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "052c55a8",
   "metadata": {},
   "source": [
    "## Run a simulation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "7889f4c5",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-06-19T08:12:27.853867Z",
     "iopub.status.busy": "2026-06-19T08:12:27.853620Z",
     "iopub.status.idle": "2026-06-19T08:12:28.161511Z",
     "shell.execute_reply": "2026-06-19T08:12:28.160827Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(np.float32(0.12783922), np.float32(0.98598903))"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sim = brainmass.Simulator(node, dt=0.1 * u.ms)\n",
    "res = sim.run(150. * u.ms, monitors=['theta'])\n",
    "theta = u.get_magnitude(res['theta'])\n",
    "R = np.abs(np.mean(np.exp(1j * theta), axis=1))\n",
    "R[0], R[-1]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c88f511f",
   "metadata": {},
   "source": [
    "## Visualize\n",
    "\n",
    "Left: the order parameter `R` climbing toward synchronization. Right: individual phases (mod $2\\pi$) bunching together over time."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "3ada43a9",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-06-19T08:12:28.164329Z",
     "iopub.status.busy": "2026-06-19T08:12:28.164041Z",
     "iopub.status.idle": "2026-06-19T08:12:28.413280Z",
     "shell.execute_reply": "2026-06-19T08:12:28.412209Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1100x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(1, 2, figsize=(11, 4))\n",
    "axes[0].plot(u.get_magnitude(res['ts']), R)\n",
    "axes[0].set_xlabel('time (ms)'); axes[0].set_ylabel('order parameter R')\n",
    "axes[0].set_ylim(0, 1); axes[0].set_title('Synchronization (K = 2.0)')\n",
    "axes[1].plot(u.get_magnitude(res['ts']), np.mod(theta[:, ::5], 2 * np.pi),\n",
    "             lw=0.6, alpha=0.7)\n",
    "axes[1].set_xlabel('time (ms)'); axes[1].set_ylabel('phase (rad)')\n",
    "axes[1].set_title('Individual phases')\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8d668eb6",
   "metadata": {},
   "source": [
    "## Try it: vary the coupling strength `K`\n",
    "\n",
    "Sweep `K` across the synchronization transition: weak coupling stays incoherent (`R` low), strong coupling locks the population (`R` -> 1)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "0e2f041e",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-06-19T08:12:28.416048Z",
     "iopub.status.busy": "2026-06-19T08:12:28.415827Z",
     "iopub.status.idle": "2026-06-19T08:12:28.772437Z",
     "shell.execute_reply": "2026-06-19T08:12:28.771308Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "K = 0.0  ->  steady order parameter R = 0.078\n",
      "K = 1.0  ->  steady order parameter R = 0.932\n",
      "K = 3.0  ->  steady order parameter R = 0.994\n"
     ]
    }
   ],
   "source": [
    "for K in [0.0, 1.0, 3.0]:\n",
    "    m = brainmass.KuramotoNetwork(in_size=N, omega=omega, K=K, conn=np.ones((N, N)))\n",
    "    r = brainmass.Simulator(m, dt=0.1 * u.ms).run(200. * u.ms, monitors=['theta'])\n",
    "    th = u.get_magnitude(r['theta'])\n",
    "    R_final = float(np.abs(np.mean(np.exp(1j * th[-50:]), axis=1)).mean())\n",
    "    print(f'K = {K:.1f}  ->  steady order parameter R = {R_final:.3f}')"
   ]
  }
 ],
 "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": "3.13.11"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
