{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "d41d981c",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-06-19T08:13:14.615119Z",
     "iopub.status.busy": "2026-06-19T08:13:14.614910Z",
     "iopub.status.idle": "2026-06-19T08:13:19.910447Z",
     "shell.execute_reply": "2026-06-19T08:13:19.909502Z"
    },
    "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": "62428695",
   "metadata": {},
   "source": [
    "# Generic 2D Oscillator\n",
    "\n",
    "The **Generic 2D Oscillator** is The Virtual Brain's flexible planar node: a two-variable system $(V, W)$ whose nullclines are configurable polynomials, so that a single class can be tuned into an excitable, bistable, or oscillatory regime:\n",
    "\n",
    "$$\\dot V = d\\,\\tau\\,(-f V^3 + e V^2 + g V + \\alpha W + \\gamma(I + V_{inp})),\\qquad \\dot W = \\tfrac{d}{\\tau}(a + b V + c V^2 - \\beta W).$$\n",
    "\n",
    "Choosing the polynomial coefficients $a..g$ reproduces FitzHugh-Nagumo-like, bistable, or Morris-Lecar-like dynamics, which is why it is the default workhorse node in many whole-brain studies.\n",
    "\n",
    "**Reference:** Sanz-Leon, Knock, Spiegler & Jirsa (2015), *Mathematical framework for large-scale brain network modeling in The Virtual Brain*, NeuroImage 111:385-430."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5358346c",
   "metadata": {},
   "source": [
    "## Build the model\n",
    "\n",
    "We use an oscillatory configuration and drive it with a constant input to elicit a limit cycle."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "978b13df",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-06-19T08:13:19.913554Z",
     "iopub.status.busy": "2026-06-19T08:13:19.912947Z",
     "iopub.status.idle": "2026-06-19T08:13:19.935463Z",
     "shell.execute_reply": "2026-06-19T08:13:19.934516Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Generic2dOscillatorStep(\n",
       "  in_size=(1,),\n",
       "  out_size=(1,),\n",
       "  a=Const(\n",
       "    fit=False,\n",
       "    t=IdentityT(),\n",
       "    reg=None,\n",
       "    val=Array(-0.5, dtype=float32)\n",
       "  ),\n",
       "  b=Const(\n",
       "    fit=False,\n",
       "    t=IdentityT(),\n",
       "    reg=None,\n",
       "    val=Array(-10., dtype=float32)\n",
       "  ),\n",
       "  c=Const(\n",
       "    fit=False,\n",
       "    t=IdentityT(),\n",
       "    reg=None,\n",
       "    val=Array(0., dtype=float32)\n",
       "  ),\n",
       "  d=Const(\n",
       "    fit=False,\n",
       "    t=IdentityT(),\n",
       "    reg=None,\n",
       "    val=Array(0.1, dtype=float32)\n",
       "  ),\n",
       "  e=Const(\n",
       "    fit=False,\n",
       "    t=IdentityT(),\n",
       "    reg=None,\n",
       "    val=Array(3., dtype=float32)\n",
       "  ),\n",
       "  f=Const(\n",
       "    fit=False,\n",
       "    t=IdentityT(),\n",
       "    reg=None,\n",
       "    val=Array(1., dtype=float32)\n",
       "  ),\n",
       "  g=Const(\n",
       "    fit=False,\n",
       "    t=IdentityT(),\n",
       "    reg=None,\n",
       "    val=Array(0., dtype=float32)\n",
       "  ),\n",
       "  alpha=Const(\n",
       "    fit=False,\n",
       "    t=IdentityT(),\n",
       "    reg=None,\n",
       "    val=Array(1., dtype=float32)\n",
       "  ),\n",
       "  beta=Const(\n",
       "    fit=False,\n",
       "    t=IdentityT(),\n",
       "    reg=None,\n",
       "    val=Array(1., dtype=float32)\n",
       "  ),\n",
       "  gamma=Const(\n",
       "    fit=False,\n",
       "    t=IdentityT(),\n",
       "    reg=None,\n",
       "    val=Array(1., dtype=float32)\n",
       "  ),\n",
       "  I=Const(\n",
       "    fit=False,\n",
       "    t=IdentityT(),\n",
       "    reg=None,\n",
       "    val=Array(0., dtype=float32)\n",
       "  ),\n",
       "  tau=Const(\n",
       "    fit=False,\n",
       "    t=IdentityT(),\n",
       "    reg=None,\n",
       "    val=Array(1., dtype=float32)\n",
       "  ),\n",
       "  init_V=Constant(value=0.0),\n",
       "  init_W=Constant(value=0.0),\n",
       "  method=exp_euler\n",
       ")"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "node = brainmass.Generic2dOscillatorStep(in_size=1, a=-0.5, b=-10.0, c=0.0,\n",
    "                                         d=0.1, I=0.0)\n",
    "node"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "151cd17a",
   "metadata": {},
   "source": [
    "## Run a simulation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "a8c474a1",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-06-19T08:13:19.938260Z",
     "iopub.status.busy": "2026-06-19T08:13:19.937964Z",
     "iopub.status.idle": "2026-06-19T08:13:20.109720Z",
     "shell.execute_reply": "2026-06-19T08:13:20.108449Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(2500, 1)"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sim = brainmass.Simulator(node, dt=0.1 * u.ms)\n",
    "res = sim.run(300. * u.ms, inputs=lambda i, t: 0.5,\n",
    "              monitors=['V', 'W'], transient=50. * u.ms)\n",
    "res['V'].shape"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cbc80f41",
   "metadata": {},
   "source": [
    "## Visualize"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "f87ca27a",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-06-19T08:13:20.112266Z",
     "iopub.status.busy": "2026-06-19T08:13:20.111988Z",
     "iopub.status.idle": "2026-06-19T08:13:20.276426Z",
     "shell.execute_reply": "2026-06-19T08:13:20.275251Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(1, 2, figsize=(10, 4))\n",
    "brainmass.viz.plot_timeseries(res['V'], ts=res['ts'], ax=axes[0])\n",
    "axes[0].set_title('Generic 2D oscillator V')\n",
    "brainmass.viz.plot_phase_portrait(res['V'], res['W'], ax=axes[1])\n",
    "axes[1].set_xlabel('V'); axes[1].set_ylabel('W')\n",
    "axes[1].set_title('Phase portrait')\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7138a8c3",
   "metadata": {},
   "source": [
    "## Try it: vary the constant input `I`\n",
    "\n",
    "The constant drive `I` shifts the `V`-nullcline and moves the node between regimes. We sweep it and watch the response amplitude."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "beee0d5f",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-06-19T08:13:20.278558Z",
     "iopub.status.busy": "2026-06-19T08:13:20.278381Z",
     "iopub.status.idle": "2026-06-19T08:13:20.652679Z",
     "shell.execute_reply": "2026-06-19T08:13:20.651301Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(8, 4))\n",
    "for I in [-1.0, 0.0, 1.0]:\n",
    "    m = brainmass.Generic2dOscillatorStep(in_size=1, a=-0.5, b=-10.0, c=0.0, d=0.1, I=I)\n",
    "    r = brainmass.Simulator(m, dt=0.1 * u.ms).run(\n",
    "        300. * u.ms, inputs=lambda i, t: 0.5, monitors=['V'], transient=50. * u.ms)\n",
    "    ax.plot(u.get_magnitude(r['ts']), u.get_magnitude(r['V'])[:, 0], label=f'I = {I}')\n",
    "ax.set_xlabel('time (ms)'); ax.set_ylabel('V'); ax.legend()\n",
    "ax.set_title('Constant-input sweep')\n",
    "plt.show()"
   ]
  }
 ],
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