{ "cells": [ { "cell_type": "markdown", "id": "7d7d5f1e", "metadata": {}, "source": [ "# INL Stability Analysis\n", "\n", "This notebook reproduces the stability visualizations and simulations for the Integrator Neuron Layer (INL) dynamics. It contains:\n", "\n", "- spectral radius heatmap over $(\\alpha, p)$ where $p = dt\\cdot g\\cdot\\beta$\n", "- contour boundary where spectral radius == 1\n", "- eigenvalue magnitude checks for example parameter sets\n", "- simulation of energy $E(n) = \\tfrac12\\|x-\\mu\\|^2 + \\tfrac12\\|v\\|^2$ for representative parameters\n", "\n", "The notebook is ready to run in a local environment (Python 3.8+, NumPy, Matplotlib, PyTorch optional)." ] }, { "cell_type": "code", "execution_count": 17, "id": "945b625c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Libraries imported\n", "Output directory: c:\\dev\\inl\\inl_notebook_outputs\n" ] } ], "source": [ "# Imports\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import json\n", "import os\n", "\n", "print('Libraries imported')\n", "\n", "# Create output directory\n", "output_dir = r'c:\\dev\\inl\\inl_notebook_outputs'\n", "os.makedirs(output_dir, exist_ok=True)\n", "print('Output directory:', output_dir)\n" ] }, { "cell_type": "markdown", "id": "7e1294c4", "metadata": {}, "source": [ "## Helper functions\n", "\n", "Define functions for spectral radius, simulation and plotting." ] }, { "cell_type": "code", "execution_count": 18, "id": "f4a3b67f", "metadata": {}, "outputs": [], "source": [ "def spectral_radius(alpha, p):\n", " # alpha in [0,1), p = dt*g*beta\n", " a11 = 1 - p\n", " a12 = p * alpha\n", " a21 = -1.0\n", " a22 = alpha\n", " trace = a11 + a22\n", " det = a11 * a22 - a12 * a21\n", " disc = trace*trace - 4*det\n", " sqrt_disc = np.sqrt(np.maximum(disc, 0.0))\n", " lam1 = 0.5 * (trace + sqrt_disc)\n", " lam2 = 0.5 * (trace - sqrt_disc)\n", " return np.maximum(np.abs(lam1), np.abs(lam2))\n", "\n", "def simulate_inl(alpha, beta, dt, g, dim=128, steps=200, seed=0, excite=False):\n", " rng = np.random.RandomState(seed)\n", " mu = rng.normal(scale=0.1, size=(dim,))\n", " v_target = np.zeros(dim)\n", " x = rng.normal(scale=1.0, size=(dim,))\n", " v = rng.normal(scale=1.0, size=(dim,))\n", " E = []\n", " for n in range(steps):\n", " error = x - mu\n", " v_next = alpha * v - beta * error\n", " x_next = x + dt * g * v_next\n", " x, v = x_next, v_next\n", " En = 0.5 * np.sum((x - mu)**2) + 0.5 * np.sum((v - v_target)**2)\n", " E.append(En)\n", " if excite and n % 10 == 0:\n", " x += 0.001 * rng.normal(size=x.shape)\n", " return np.array(E)\n" ] }, { "cell_type": "markdown", "id": "5ff15a5f", "metadata": {}, "source": [ "## Spectral radius heatmap\n", "Compute and plot the spectral radius over a grid of (alpha, p)." ] }, { "cell_type": "code", "execution_count": 19, "id": "47630aaa", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Saved heatmap to c:\\dev\\inl\\inl_notebook_outputs\\spectral_radius_heatmap.png\n" ] } ], "source": [ "alphas = np.linspace(0.0, 0.99, 201)\n", "ps = np.linspace(0.0, 3.0, 301)\n", "R = np.empty((len(ps), len(alphas)))\n", "for i, p in enumerate(ps):\n", " for j, a in enumerate(alphas):\n", " R[i, j] = spectral_radius(a, p)\n", "\n", "import matplotlib.pyplot as plt\n", "plt.figure(figsize=(9,5))\n", "plt.imshow(R, origin='lower', aspect='auto', extent=[alphas[0], alphas[-1], ps[0], ps[-1]])\n", "plt.colorbar(label='spectral radius (max |λ|)')\n", "plt.xlabel('alpha (α)')\n", "plt.ylabel('p = dt·g·β')\n", "plt.title('Spectral radius heatmap: stability if < 1')\n", "plt.tight_layout()\n", "figpath = os.path.join(output_dir, 'spectral_radius_heatmap.png')\n", "plt.savefig(figpath, dpi=150)\n", "plt.show()\n", "print('Saved heatmap to', figpath)" ] }, { "cell_type": "markdown", "id": "e8343359", "metadata": {}, "source": [ "## Stability contour\n", "Plot contour where spectral radius = 1." ] }, { "cell_type": "code", "execution_count": 25, "id": "728e6be5", "metadata": {}, "outputs": [ { "data": { "image/png": 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1R7xx2223uZ0+c+ZMXedLrSdVh0ZR24/aFlVdI1VPyB1VQ0bNp2pEqdphinp9lF//+tdS0lRdlYEDB3qsKfPDDz/oWi9qW1dno1MOHTrkcZ8qjhtuuKHQ24u6j7u21YK2QfUaqiLFpe1atjN3Jk2apC8VtaaU4u4Yr6gaZup1U/uROvaq+nE227WXiU1MTJQff/xRv++o98z09HQ9/dy5c4Vuy6oO2XXXXed2/1HHwK+//lq3tyTfN4t6Nl5Ve0m9H6maZar+lnL48GG9r6j253zf8pY6hnfp0iXfdFXXTr0m27dv158tbrrpplz7WmHvU+o9dO3atbo2oNofclLbc95pOT+/qPcVVQsxL9VG9blGfQbKSb3OZ8+e1ScsUMu646qX6arLV9TjUc7t2LVdA0BehFIAfJL6EJr3g58KL1TBYvWlXBU/VR+wXV9+XaGDKnzs6UxTRQ0oPFHFSN1RBcSV1NTU7GmnT58utJ2uAq8q7MhLFZdWBVJPnjxZYFtU4XJ31JcLVeS5ICp0UgHOpk2bdKjk+oD76quv6r+q2Kq3XEWoVYjlTSFcFQq41lFB68XTa1eU18Ab3m5P6nUqye3J0+tUHKqdL7/8si4irl5HdVGFdFVhWxUMqUL0qjCuOwU9f9d01/asHD16VP99++239aUwKrTMu70U9Wxe3shbUD4vVcRdhdxJSUlF3qdKo03F2cc9HVMK24bLy3bma1w/KriOP3mpE0aodfLhhx/qi3ofU8XgVYH7W2+9tcDjWWG+//57uf32292eQMLTtuwqbO/tvm41FUKp9aKK/atjy4MPPpi9HlVgq553cY6bhe0b6jYVSuV83p7eF1zvU+r9Rr0O6njuzb7vaR923ZY3lHIdc48cOeLxvTbnMdebNuXk2o4LK/4OoHIjlAJQaagzxP31r3/VXyTVL78ffPCBPmtOaSrsbFcuJfELtzdnRlK/sqpfKtUHcHUmM9WTTH1YVL+8Hjx4UIdAec805xISElLo/asPtPfdd5/8/ve/17/0qrPxqLP2qF9i1YdWV6+W8sqK18CK7cnT61Rc6rVVZ4v67rvvZN26dfry6aef6os6Y5f6Zb84vVpybm+u56Z+1Vc9EArTu3dvsUJh61OFr7/5zW/0/qPOeKd626kwQH25VfvDG2+8oW8vaJ8q6TZd6z5eHrbjktzOvvnmG30pzg8a6myFZUn13FEhQEEhkPoBQP2oonr5qDOUql4sat2ofz/11FM6eClKzx8VlqgwU50RVJ3lUPWaU8dtdRZGdWxUj6N6Cl/LtlPW290f/vAHHUq99tpr8sADD+jgR71PqX21ND8HlOTzLunju2s/VGe4VK9vYVTP5eK2yRWyunqoAUBehFIAKhX1AVt92FZDE3755Zdcw/Ny/nLojus217yK65d719CYvFy9OEqK67ELOtV6QY+puverL6tqiIy707y7hhpdCzWURA3FUl8gX3jhBR1OKerLcVFCH9ev/OpLtPpA7+kXXDU0QA13VMOU1Gvkbvilu9euNFWU7ako1DDEu+++W1+U/fv3yx133KHDx0ceeUTef//9fMscO3bM7fAW1/bboEGD7GmuIapq6K1r2/F2e1Ff0FV7cg7ZLW1ffPGF3j5VkKK+yJfGPlUUxd3H1fan1l1Bx5TCjjUFuZbtuDjbmTs7d+70et68w5XKOpRSPWRUKFVYryX1I8vYsWP1RVEB1ksvvSRz587VYaga+lylShWve0mpQEotowLWom7LhW0j7vb1sqCGtY0YMUKWLVumhyiqYWtxcXF6uLCrh1JRqeNbUZ632tdUryR17O/QoUOB7wnBwcFSo0aNEv1c4O421zFXvYe+9957Ulpc27G7oewAoFSMn4YBoAR/GXR9OFO/ArsMGjRIByfqi4y7oW+qZ5Wrds3QoUPdhg+u+hs5qVozJUkNO1RUW65cuZLvdtXDQH3Qzss1b0HDOj766KNrbpv6AqRqYqhfoJ999ln58ssv9YdrNa0oevTooX+VVV/KvOnpoL6cub5EFvTB2vUlPedrdy1cX7rVkNDC6nCo18ldHQ3Vg0xta2qbU9te3u1JfRF3p6S3p2uhhss9/PDD+t/qubijhhYVNt21nhT15dC1DRdluKSqWaOoHpAl9fp5w7VPqSFmean2f/XVV8W+72tpT1H3cdcxRdXZc0f1KC0q13acM/h3OX/+vB7WVJLbmTuqhtB/T+hTpEtB9X6spIJFZd++fV4vo3rEqeeselmpXnMq1Pd2ey9sW1brRNViKox6z1HBVl7qGO5638y5r5ekouzLqv6WokLv4gwtz0sNh8s7JE7Zu3ev3sbzHt9d68DT+5SqY6fe17ylHkP9eKMe0917h/pM466dasineq9V25lqc2lR9faUgupWAQChFIBKQ31ofeyxx3QvKSVnYVb1RU7VLFEfwNWvzDl/oVb1YlQRZfVFUxVqzVmsVX2IVwXT1YfyvL8wq6KmqoZVSVIfVtUXFlWQVg05UL2DXE6dOpVdK8PdcA9l+fLl+b7oqGFGn332WYm0T33AVx/E1S/2KqS78cYbCyzWWxD1YfzPf/6z/rda76oHSF6qiHPOWh1//OMf9V81NEM9x5zUFwAVdAQEBGR/KblWrl+/C/ogr0IyNcRM9T5Q25P6kuiitj81TZkxY0b2r9WuAsbqy6V6jfIGOqpnzj//+c9ravecOXP0l3z111tqSJAqLu4q4O2i9hVVPL6gL7Ou18NV3NdF1Q3avHmzroOTM7BUhYFVkXa1Hasi1+5+2Vf7ogpPcgZ9aiiOui/1Gqv9O287VbFvNQysKK+fN1z7lOqNk7NHkDpOqGGshfWiKA3F3cfVa6ACetUTKe/2pV67+fPnF7ktqkeKoo6JOUNyFVKoHpXq+FWS25mvcYXn6jXJSx1L1PHVXY0fNYRPrW81XDNnDx1P27tr21E/JLiKmiuq2LZ6DyuoyHVO6hic85is3pvUe5TaZ9VxTfWALA2u56Z6c+XddvJSvcpUb0oVlKmgRvWQcoXhxaG2TdUTOGetJDVUTU1Tt6njWc7ju3r/Ue9v6seWvCGxGiKphhcqBb2PF0R9flG93NSPbuqxcw77VG1TxyN3wwjVe6IaFqtuU8vnPU66tgG1b6p6dcXl2n5UzTMAcMvtOfkAoIJynYq8f//+uU7zPX78eLNhw4bZpzH+85//nG/ZS5cumZ07d9a3q9NtT5o0ybzhhhvM2rVr62lNmzZ1e4rzr776Sp+KWc3TpUsXfcr17t2762mPP/54gae+Lmi6p1Njq1M+u9qkTuc8bdo0/fzUqbfVad379u3rdrmJEyfq6YGBgeaoUaPMGTNmmG3atNHtVOtD3abWX07q+bqbXhi13lzPbdu2bWZxOJ1O87e//W32/ahTSav2jh071mzWrJnb5/fYY4/p6er5DBgwwLzpppvMbt266Wl+fn7m22+/7fU69nQa8vPnz5tVqlTJ3tZ+9atf6dN9v/POO9nzHDlyJHt7jIyM1NuSeg3CwsL0NNW2K1eu5HvMl19+Oft5q9dSLadOEa+e11/+8pdrep1cpxZXf73lao9q95AhQ/R6nTx5cvZzU/tK3tOiu9o/e/Zs3e5BgwaZN954o9mxY8fs1+OLL77I91jx8fHm8OHDs7fTnj176u1b7VPq32qauu2XX37Jd8rxatWq6dvq1Kmjt0G1TK9evcyAgIB8z/df//qXnrdq1ar69OzqtVOX/fv3e32a+atXr2avg5o1a+rHvP766/Vrrdoya9Yst+vam/t2x9Pxorj7uPLJJ5/o10Tdrl4j9Vqp10wtd//99xf42K7nn/e4mHPdqPWh2jVixAi9raj7dx0jcp6evjjbWXmwcOFCs3fv3tkX13bYvHnzXNOLQh1f1HZbt25dMzMzM9+6Vfdvs9n0+5U6PqjXSx0rXO9D6n2nKMerjIwM/Z7l2ifGjRun9zu17lU7Hn74YbfbrGtbVo+tnqN6D1LvRWpZ9d7kev1d+1VOBW1TBR2TCzoWKz169NC3tW7d2rz55pv1c1NtdueVV17JfuwXX3zRLA613arlr7vuOv1+VL16db2tqmNJjRo19G0tW7Y0Y2Nj8y37+uuv69fO9R6gtnP1mrheuyeffLLA43bO/SWvc+fO6W1OzafaoNqi2qTapqarthZ0Hw899FD2OlHvNWp/VccOtR+q5dX01157rcjHIyU9Pd2sVauWGRwcbF6+fNnj/AAqJ0IpAD7F9QUm70V9SVO3TZ8+vcAAQklKSjLnzZunwyX1AVt9kGrbtq356KOPug0QXH744Qf9wVItoz78q3Dos88+07eVdCilnDhxQn+xUF/A1XNTH4zVh3DV/oKWUx8On3/+ef2lULVTfXBVX1yXLFlSYKhRnFBKfXh1fVG5Vj/++KP+gKyep/pypMI4FTTMnTvX7QdcNb8KrlRI4O/vb0ZFRelwYtOmTW7vv7ihlLJmzRr9RTsiIiL7S0beAEK1cc6cOXobUtuSWu8qYHvuuefM5OTkAp/3+++/r7+wqGXUl/Rhw4aZS5cuvebXqTih1OHDh/UXJRUWNWrUSLdJPedOnTqZjzzyiHnq1KlCt221Paj9KSQkRD+XMWPGmOvXry/w8RwOh/nxxx/r19H1uqvXs0OHDubtt99uLliwQG/L7vYJFQSpL6aqjerLdatWrcw77rjD3LBhQ77HUPu5+gKm5nW117UdeBscXbx40fz973+vv/QFBQXpL+K33HKLeejQoewvrlaGUsXZx13Wrl1rjh49Wr9Gru1UfYEu7LELCqWU06dPmzNnztShhDpGqVBffflNSEhw+yW7ONtZeeB6nT1dikqFFWq5RYsW5ZquAqT58+frIEoFjiqsU/uW2gZVKLp8+XK39+fpeKVeF/U+59p/1OumwsOtW7cWuM3mnJ6YmKhfX/U6q9db7bvqPerkyZNu21OSoZTa99X6UiGeOu4Xtp2rQFvdrrZxFfAVR859+8KFC+ZvfvMbs0GDBvp5qx+//vCHPxQawGzcuFGHier9SbVXHd9UEKj2U3e8CaVcP6zdd9992W1Rf9WPO+o45ek+1DFZBXpqvaljmQpX1fFTbQNvvfVWvs8/3m7XX3/9tZ5PHbsBoCCG+p/7PlQAABSdGrq2fv16XYdEDd9D5eMqTs9HDKB41BBlNexNDWW1uj6ZL1NDfJ955hk9NNw1XA6lR52VVNVCVPWu3J30AgAUQikAQIlRZzVSdTtUjYvDhw/rmhWofAilgGt38803yyeffKILvLs7qyiKRtXLUmfhUzWXVPFtVy0tlG6wqk4e8O6777KaARSIUAoAcE1UUXh1dixVUFUVKlaFnj/99FOZPn06a7aSIpQCrt2ZM2ekdevW+qxtrmLvKLpHHnlEr8tly5bpsz/+9re/1SdhQOlSJzxQJ7VQZ4KMiopidQMoEKEUAOCaqLOkNW3aVJ9VqFmzZvosTGpoBCovQikA5UWTJk3k5MmTOhhRP5Y899xzEhQUVNbNAgD8F6EUAAAAAAAALGez/iEBAAAAAABQ2RFKAQAAAAAAwHKEUgAAAAAAALAcoRQAAAAAAAAsRygFAAAAAAAAyxFKAQAAAAAAwHKEUgAAAAAAALAcoRQAAAAAAAAsRygFAAAAAAAAyxFKAQAAAAAAwHKEUgAAAAAAALAcoRQAAAAAAAAsRygFAAAAAAAAyxFKAQAAAAAAwHKEUgAAAAAAALAcoRQAAAAAAAAsRygFAAAAAAAAyxFKAQAAAAAAwHLlLpR67bXXpFOnThIWFqYvffv2lR9//LHQZb744gtp06aNBAcHS8eOHWXRokWWtRcAAAAAAAA+EEo1aNBAnnvuOdm2bZts3bpVhg0bJhMnTpS9e/e6nT8mJkZuvPFGufPOO2XHjh0yadIkfdmzZ4/lbQcAAAAAAIB3DNM0TSnnatSoIc8//7wOnvKaPn26JCUlycKFC7On9enTR7p06SLz58+3uKUAAAAAAACokD2lcnI4HPLpp5/q0EkN43Nnw4YNMmLEiFzTRo8eracDAAAAAACgfPKXcujnn3/WIVRqaqpUrVpVFixYIO3atXM77/nz56VOnTq5pqnranpB0tLS9MXF6XTKlStXpGbNmmIYRgk+EwAAAAAAgIrPNE1JSEiQevXqic1m891QqnXr1rJz506x2+3y5Zdfym233SarV68uMJgqqnnz5sncuXNL5L4AAAAAAAAqi1OnTul64D4bSgUGBkqLFi30v7t37y5btmyRf/zjH/L666/nmzcqKkpiY2NzTVPX1fSCzJkzRx544IHs6yr8atSokRz8/nsJr1q1RJ8LgPycpimX09KkZlCQ2OidCJQq9rdywjTFOHxY/JYvF78VK8S4eNHjIs4Afzmy9F1Ja9PMkiaiZJhOU1KupEhIjRAxbPTAB0oT+xtQMtoFedcBKC4uTpo2bSrVqlUroUcup6FUXmp4Xc7hdjmpYX7Lly+X2bNnZ09bunRpgTWolKCgIH3JSwVS1Utw5QIo+EtyRkCAVA8OJpQCShn7Wxk7eVJsP/0kfosXi3HihMfZTZtNEof0Evv0sWKfOEwCq4dJoCUNRUl+SfbL9JPQ6qGEUkApY38DSkb1oOpFmr8kyx6Vu1BK9WKKjo7WPZfUWMWPP/5YVq1aJT/99JO+febMmVK/fn09BE+ZNWuWDB48WF588UUZN26cLoy+detWeeONN8r4mQAAgErpwgWxLVmSddm3z6tFknt1lDgVRF0/WjKjapV6EwEAAMqDchdKXbhwQQdP586dk/DwcOnUqZMOpEaOHKlvP6l+ccxRUKtfv346uHrsscfk0UcflZYtW8o333wjHTp0KMNnAQAAKhW7XWzLl+teUcb27WKYpsdFUts110FU3NRoyWhWMnUZAAAAKhLDVOXTK7n4+HgdgMWuXMnwPcCi4UQXU1OlNsP3APa3iiw5WWxr1mQFURs2iJGZ6XGR9Mb1dAgVNyNa0jq0sqSZsH44UfKlZAmtxfA9gP0NqBg6BnX0uqZURESErssdFhbmmz2lAAAAyq2MDB1A2RYv1oGUkZrqeZHIGmK/YYzYp0VLcu9OqhCDJU0FAAAo7wilAAAACuNwiLFjR1YQpc6cFx/vcX05wqqKfeJwXbA8cUhPEX8+cgEAAOTFJyQAAIC8TFOMffv00DxVsNy4dMnjOnIGBUrCuMESNy1aEsYMFDM4/5l+AQAA8D+EUgAAAC7HjomfCqJUnahTpzyuF9PPTxKH9dZBVPzE4eIMq8q6BAAA8BKhFAAAqNzOn9e9ofTwvIMHvVokqW9XiZseLfYpI8URWbPUmwgAAOCLCKUAAEDlExcntmXLsobn7djh1SIpHVvpYuWqV1RG43ql3kQAAABfRygFAAAqh6Qksa1alTU0b9MmMRwOj4ukNW2gi5WrXlFpbZtb0kwAAIDKglAKAAD4rvR0MWJisobmrV0rRlqax0UyomqJfeoYiZs6RlJ6dhQxDEuaCgAAUNkQSgEAAN/icIixdWvW0LwVK8RITPS8SPVqYp80QuKmj5WkQT1E/PwsaSoAAEBlRigFAAAqPtMUY8+erCBq6VIxLl/2uIgzJFjixw/RNaISR/UXMyjQkqYCAAAgC6EUAACosIwjR7KG5i1ZIsaZMx7nN/39JWFkP12wPH7CUHFWDbWknQAAAMiPUAoAAFQsZ87oEEr3ijp82OPspmFI0oDuOoiyTx4hjloRljQTAAAAhSOUAgAA5d/ly2JbtiwriNq926tFUrq21TWi4m4YLZkNokq9iQAAACgaQikAAFA+JSaKbeVKPTzP2LJFDKfT4yJpLRtnBVHTxkh6q6aWNBMAAADFQygFAADKj9RUMdavF7+ffhJj3Tox0tM9LpJRL1KHUHHTxkpq17YihmFJUwEAAHBtCKUAAEDZyszUPaF0wfJVq8RISvK8SI1wsU8eKfbpYyVpQDcRm82SpgIAAKDkEEoBAADrOZ1i7N6dVSNq2TIxrl71vEhosMSPHypxM8ZK4oh+YgYGWNJUAAAAlA5CKQAAYA3TFOPQoawgaskSMc6d87iIM8BfEkcPkLhp0RI/brCYVUItaSoAAABKH6EUAAAoXadPZw3NW7JEbEePepzdNAxJGtRDFyyPnzRCHDXCeYUAAAB8EKEUAAAoeZcuZYVQqlfU3r1eLZLco4PETY8W+/WjJbNeJK8KAACAjyOUAgAAJSM+XmwrVuggyti6VQzT9LhIaptmYp8WrcOo9OaNeCUAAAAqEUIpAABQfKmpYluzJiuIWr9ejMxMj4ukN6yb1SNqWrSkdmwlYhi8AgAAAJUQoRQAACiazEwxNm7MGpq3erUYycmeF6kVIfYpI3WdqOS+XURsNtY6AABAJUcoBQAAPHM6xdi5M6tg+fLlYtjtHhdxVA2V+InDda+oxKG9RQICWNMAAADIRigFAADcM00xDhzI6hG1ZIkYsbEe15QzKFASxgyUuGnRkjB2kJghwaxdAAAAuEUoBQAAcjtxQgdRfqpO1IkTHteOabPpnlBqaF78xGHiDK/GGgUAAIBHhFIAAEAkNlZsS5dm9Yr65Rev1khy7066R5T9+tGSGVWLtQgAAIAiIZQCAKCyiosT24oVuk6UsWOHGKbpcZHU9i10EBU3NVoymjWwpJkAAADwTYRSAABUJsnJYluzRveIMmJixHA4PC6S3rheVhA1PVrSOrSypJkAAADwfYRSAAD4uowMsW3eLH5Lloht9WoxUlM9L1Knph6Wp4KolF6dRAzDkqYCAACg8iCUAgDAFzkcekie/48/Sr0VK8QvIcHzImFVxT5phNinRUvikJ4i/nxMAAAAQOnh0yYAAL7CNMXYty+rWPmSJWJcuuRxEWdQoCSMG6zPnJcweoCYwUGWNBUAAAAglAIAoKI7dkz8VBCl6kSdOuVxdtPPTxKH99F1ouKvGybOsKqWNBMAAADIiVAKAICK6Px53RtKnTnPdvCgV4sk9ekicTeOFfuUUeKoXaPUmwgAAAAUhlAKAICK4upVsS1blhVE7drl1SIpnVrLhXEjJPm28ZLZpH6pNxEAAADwFqEUAADlWVKS2Fatyhqat2mTGA6Hx0XSmjXUNaLs06MltVVTSb6ULKG1QoXz5wEAAKA8IZQCAKC8SU8XIyYmq0fU2rVipKV5XCSjbm2xTx2j60SldG8vYvw3gnKapd9eAAAAoBgIpQAAKA8cDjG2bs06c96KFWIkJnpepHo1sU8aoXtFJQ3qIeLnZ0lTAQAAgJJAKAUAQFkxTTH27MkKopYuFePyZY+LOEOCJX78EImbHi2JI/uLGRRoSVMBAACAkkYoBQCAxYzDh7OCqCVLxDhzxuP8pr+/JIzsp4OohPFDxVk11JJ2AgAAAKWJUAoAACucOaNDKF0n6sgRrxZJHNhD7NOixT5lpDhqVi/1JgIAAABWIpQCAKC0XL6sh+XpMGr3bq8WSenaVhcrt98wRjIaRvHaAAAAwGcRSgEAUJISE8W2cqXuEWVs2SKG0+lxkbSWjXWxcjU8L71lE14PAAAAVAqEUgAAXKvUVDHWrRO/n34SY/16MdLTPS6SUT9S4qaO0WFUape2IobB6wAAAIBKhVAKAIDiyMzUPaF0jahVq8RISvK8SI1wsU8ZpXtEJffvJmKzse4BAABQaRFKAQDgLadTjN27s86ct2yZGFevelzEUSVE4icME/v0aEkc3lfMwADWNwAAAEAoBQCAB6YpxuHDWT2i1PC88+c9rjJngL8kjBmoz5wXP26wmKEhrGYAAAAgD3pKAQDgzunTWUGUOnPe0aMe15FpGJI0qIeuEWWfPFKcEWGsVwAAAKAQhFIAALhcuiS2pUuzwqi9e71aL8k9OugaUfbrR0tmvUjWJQAAAOAlQikAQOUWHy+2FSuyhuZt2yaG0+lxkdTWTcU+fazETRsj6S0aW9JMAAAAwNcQSgEAKp/UVLGtWZMVRK1fL0ZmpsdF0hvWFfu0MXp4XmrHViKGYUlTAQAAAF9FKAUAqBwyM8XYuDHrzHmrVomRkuJ5kVoRYr9+lMRNi5bkvl1EbDZLmgoAAABUBoRSAADf5XSKsWtXVo2oZcvEsNs9LuKoGirxE4frOlGJQ3uLBARY0lQAAACgsiGUAgD4FtMU48CBrCBq6VIxYmM9LuIMCpSEMQN1EJUQPUjMkGBLmgoAAABUZoRSAADfcPKkHprnt3ixGCdOeJzdtNkkcUgviZsxTuInDhNneDVLmgkAAAAgC6EUAKDiio3VvaF0r6j9+71aJKlPZ7FPixb79aMls07NUm8iAAAAAPcIpQAAFUtcnNhWrNBBlLFjhxim6XGR1HbN9Vnz4qZGS0azBpY0EwAAAEDhCKUAAOVfcrLY1qzRw/OMmBgxHA6Pi6Q3rqfPmhc3Y6yktW9pSTMBAAAAeI9QCgBQPmVk6ABKBVEqkDJSUz0vEllDD8tTQVRKr04ihmFJUwEAAAAUHaEUAKD8cDj0kDxdI2rFCjHi4z0vElZV7BOH6zpRiUN7ifjz1gYAAABUBHxyBwCULdMUY9++rB5RS5eKcfGix0WcwUGSMHaQHp6XMGagmMFBljQVAAAAQMkhlAIAlI1jx8RPBVGqTtSpUx5nN/38JHF4Hx1ExV83TJxhVS1pJgCgaOxX7HLx/EVJTkwWp8PJ6islIVVCpFp4NanbqK4YDFcHUEERSgEArHP+vNiWLMnqFXXggFeLJPXrKnHTo8U+ZZQ4atco9SYCAIoXRO3YsEN2rN0mx3cdECPDIeJUZ0f1fIZUFIeh6yaafoaE16stXQb3lK79u0qTlk0IqABUKIRSAIDSdfWq2JYvz6oTtXOnV4ukdGqdFUTdMEYyGtfjFQKAcuz4oePy70f/Ic4r8dKpbl2J7t1HmkVFStXgYAnw8yvr5vkkp2lKclqaXLQnyNZDR2TzZ0tk9ac/yoiZ18n4m8YTTAGoMAilAAAlLylJbKtWZQ3N27RJDIfD4yJpzRqKfeoYfea8tLbNeVUAoMIEUq9IUwmQB267WaqGBJd1kyoNta4jq4dL+8YN5FanUxZt3SGfvPuNvo1gCkBFQSgFACgZaWlixMRkDc1bu1aMtDSPi2TUrS32G0brOlEpPTrooQgAgIohIz1DXvvL/+lA6qFJ4yQkMLCsm1Rp2Ww2Gd+ru/770fvfSoOmDaRrv65l3SwA8IhQCgBQfA6HGFu3Zg3NW7lSjMREz4tUryb2SSN0EJU0uKcIQzsAoELat32fpF28KndPu55AqpwY26OrbDpyVLas3kIoBaBCIJQCABSNaYqxd29WELV0qRiXL3tcxBkSLPHjh+g6UYkj+4sZxK/pAFDRbV+/XRpXC5O6NSLKuinIoXfzZvLJxl2SmpIqwQynBFDOEUoBALxiHDmSFUQtWSLGmTMe5zf9/SVhZD+xT4uW+AlDxVk1lDUNAD7C4XDIvpgdMrl5i7JuCvLo1bK5/GfLNvllxy/0lgJQ7hFKAQAKdvasDqF0GHX4sMc1ZRqGJA3oLnHTx0r85BHiqFmdtQsAPig5MVnSk1KlQa0aZd0U5FErPEyC/Wxy9dJV1g2Aco9QCgCQ2+XLYlu2LKtg+e7dXq2dlK5tdRAVd8NoyWwQxRoFAB+XkpQi4jQlNCiorJsCN6oEBmW9RgBQzhFKAQBEEhN1oXIVRBmbN4vhdHpcK2ktGusaUeqS3qopaxEAKhGnfp8wxc9mK+umwA31uqghlgBQ3hFKAUBllZoqxrp14qeCqPXrxUhP97hIRv1IiZs6RuKmjZXUrm1FDMOSpgIAKq4Xvv5eXlzwg+z59wtSs1rVfLcPeeQpqVGtinz95z/KqYuXpNcDj+npb/7h1zK+Zzev7mvJ9t3y2qKlcujseUlKS5XI8HDp3LSRzBjcX4Z1ai9TnnlRNuw/5LGtf5w8Th6cMkH/++CZczL4kbkSFOAvu/7v7xJeJX9txLz3G+DnJ1ER1WVQh7Zy/6SxUr/m/4Y3frYmRma/+YH8OHeOdGnW2O3j53z+7jw6bZLcN2GMx+cBABUFoRQAVCaZmWJs2ZJVI2rVKjGSkjwvUiNc7JNHin36WEka0E2EX8UBABZ4ecEPMq5HVzE8/ADy2g9L5KlPv5a+bVrKfRNGS0hQoByPvShr9+6Xbzds0aHUrOui5aYhA7KX2Xn0uLy9ZKX84box0rJe3ezp7RrWz/73VzGbJDI8TOzJybJwy3a5OcfyOdWrESFzpk3S/87IzNRh1gcr1sqqn/fJmr89KaHFOOPs5L49ZVjnDvmmd2zcsMj3BQDlGaEUAPg6p1OM3buzakQtWybGVc+FTx1VQiRh/FCJmzFWEof3FTMwwJKmAgCgdGjcUPacOCWLtu6UcT27FrhSMh0OefnbRbpn0mcPz8p3+yV7vP47uGO7XNODA/x1KDW4Q1vp17Z1vuVM05QFMVtkcr9ecvLiJfk6ZnOBoVS1kBC5oX/vXNMa1a4lj37wqWw5eDjfY3tDhU957xMAfBGhFAD4ItMU4/DhrCBKDc87d87jIs4Af0kc1V/iZoyT+LGDxHQzTAEAACtM7NNDUtLS5eVvfpCxPboU2FvqSkKiJKSkSq+WzQs8E11xbD54RE5duiyT+vTQodTvXn1bzl65qntFeaN29azH9ffzK9bjA0BlQSgFAL7k9Gk9NE/XiTp2zOPspmFI0qAe+sx58ZNGiKNGuCXNBACgMH6GIbMmRssfXn+v0N5StcKqSXBggCzZuVvuGDVUIqpWKZEVq3pGNYmsLV2aNZHWDerpIYHfbNgivx83Kt+8DtMplxMSs3tuHTpzTl74aqE0rVNberZyH5Z5kpKekX2fOYWHhhB0AfAphFIAUNFduiS2pUuz6kTt3evVIsnd2+sgyn7DaMmsF1nqTQQAoKim9Oslr3y7qNDeUjabTX4/dpS89M0P0mP2o9KndQvp1bqFDO3UXjo1aVSslZ6R6ZDvN2+TmcMG6eshgYEyqmsnHVS5C6UOnz0vHX7/YK5pLetFyad/miWB/sX7uvX819/rS14Ln/iTdG/RrFj3CQDlEaEUAFRE8fFiW7FCbEuWiLF1qxj61NyFS23TLCuImjZG0psX74M6AABW8bPZZNbEsTLr9ffkx207ZWwP972lHrp+grSoFyXvLVuti4uv2L1XnvviW12X6tXf3SGt6v+vkLk3VuzeI1cTk3SxcRf175kv/VsOnD6re07l1LBWTXnhzlv0vzOdTjly7rz8+4clctML/yffPPag7s1VVLcMHSgTeuU+86BS1OcCAOUdoRQAVBSpqWJbsyarRlRMjBgZGR4XSW8QpUMoVScqtWMrEQ9nMAIAoCwUVDPqetVb6psf5OVvFkl09y4FLq9CI3VJSEmR7YePyWdrN8iCDVvktpf+LSvnPa6H+Hnrq/WbdKHywAB/ORZ7QU9rHFlb95j6KmazPPrfM+25hAYF6ULrLupsf71atZAxj8+Tfy38SZ686QYpqmZ1aue6TwDwVYRSAFCeZWaKsXFjVsHyVavESEnxvEitCLFPGal7RSX37aLGNljSVAAA3AkKyAqEUtPT3d6ekp6ePY+73lKzVW+pN96Xxdt2eVzB6kx46mx36hLg5yefr9so248ck35tW3n14qhQa+mOnyU1I0P6Pfh4vtsXbNgsc6ZOLDBEc+nctLGEhYbIxv2HvHpcAKisCKUAoLxxOsXYuTMriFq2TAy73eMijqqhEj9hmMTNiJbEYX1ECvhwDwCA1RrUqqn/HjkXK/Vr1sh1W3Jaupy9ckUGdyy4V9D1/Xvr2lKqbpSq7eStzs0a61DqQpzn91GXRVt26EDquV/dJDWr5S6afvhcrPzty+/0mfl6t27h8b4cTqckpaV5/dgAUBkRSgFAeWCaYhw4kBVEqTpRsbEeF3EGBkhC9CCJmxYtCWMHiRkSbElTAQAoioHtWuuC3+8vXyMD2rXWxcldPlq5VjIdTj3krSA5e0vlpUKtfSdPS4+W+Yt/r9iVdfKP5nXreN1WNTyvcWQtuW14VpHznNIyMvRwPFXw3FMotX7fAUlKTZP2DRt4/dgAUBkRSgFAWTp5UgdRfqpO1PHjHmc3bTZJHNJL7NOixT5puDirh1nSTAAAiqtWeJjcP2ms7mU06ZkXZXTXThISFChbDx3VdZ/UUDtPPaDUmfhUXak9J07lG/o34am/S/cWTWVox/ZSr2aE2JNTZPG2nbLpwGEZ072zdPTyLHznr8bpMOnOUUPd3q6GGA7p2E6fme+vt06XAH+/7CF/X67fpP/tcDh0j6oPVqzRdazunTA63/18uma9rNyd/2y5d48elv3vn0+cyr7PnJpE1nYbwAFARUUoBQBWu3BB94bSvaJ++cWrRZJ7d9I9ouzXj5bMqFql3kQAAEqS6umkzlL37rJV8tI3i8ThdEjD2rXkoSkT5J7xo3L1nnLH389PZk+MltlvfpBrenhoiD7z3bKdP8una2Pkoj1ebIZN9456fMYUuTNH0OPJNxu3itM0Cw3I1G0/bNmhz9A3ultnPe3slaty3/x39b9VranqVUKlb5uW8sDk8foMgHmpHmPuTB/UN/vfKqxTl7ymDehDKAXApximaZpSycXHx0t4eLjErlwp1asV/ZStAIpGfeC7mJoqtYODxVZZzgYXFye2FSuyzpy3fbs6+HpcJLVdcx1ExU0bKxnN6P6P4jGdpiRfSpbQWqFi2CrJ/gaUocqyz50/fV7m3fGYPDk2WlrVr1vWzUEe93/wiXSYPlKuu+U6n143lWV/A0pbx6COXs0XFxcnERERYrfbJSwszDd7Ss2bN0++/vpr2b9/v4SEhEi/fv3kb3/7m7Ru3brAZd577z25/fbbc00LCgqS1NRUC1oMAAVIThbbmjViW7xYjA0bxHA4PK6q9Eb1JG56tL6kdfDuTEEAAAAAUBGVu1Bq9erVcs8990jPnj0lMzNTHn30URk1apTs27dPqlTJfQaMnFRKd+DAgezrnk7TCgClIiNDB1B6aN7q1WJ4EY5nRNbQw/JUnajkPp3VAYwXBwAAAIDPK3eh1OLFi/P1goqMjJRt27bJoEH5z4KRM4SKioqyoIUAkIfTqYfk6SBq+XIx4uM9riJHWFWxTxqhg6jEIT1F/Mvd4RgAAAAASlW5/xakxioqNWrUKHS+xMREady4sTidTunWrZs8++yz0r69+1PLpqWl6UvOmlKuOjfqAqB0qf3MrOj7m2mKsW+f+C1ZIn5Ll4px8aLHRZzBQRIfPUjipo6RhDEDxQwOynFjBV4XKPf1NtT+pv4CYJ8rMc4cxxk2rPJHfcZS//n4sZ/3OKBkqBylJOfzmVBKPeHZs2dL//79pUOHDgXOp+pNvfPOO9KpUycdYr3wwgu6FtXevXulQYMGbutWzZ07N9/0y2lpkhEQUOLPA0Bu6guyPSOjQg619T9xQkKXLdOXgNOnPc5v+vmJfWBPuTRxlFwdNUgc1f47DDnRIZKYXPoNBpwi6fHpYpiGSOEntwJQEirJPpdyNUWcmU5xZDjFke65ZiKs5XSYkpaQpouA+7RKsr8Bpe1CwIUidRqqNKGUqi21Z88eWbduXaHz9e3bV19cVCDVtm1bef311+Xpp5/ON/+cOXPkgQceyNVTqmHDhlIzKEiqBweX8LMAkJerh1StinL2vfPndW8oPzU8L0ftusIk9e0icVOjJW7KSHFE1tTTcvSLAqz9FdkwJaRmCGcmAtjnSkxIaojY/G3iF2ATv0A/tq1yxuZnSFC1IH1WOl/GexxQMiKDIr2aLzAwUCpNKHXvvffKwoULZc2aNW57OxUmICBAunbtKocPH3Z7uzozn7rkpb4cV4gvyIAPUD2kyvU+FxcntmXLsupE7djh1SIpHVtJ3PSxYp86RjIa18ueXk6fISrZ/qZOlc3psgH2uRKTo1dKab/PvbrwJ/lkTYysee4JsdkqbneY95evkX9+/6PEPP+UBJX26Az1+Ur9Z/P9TyG8xwHXzttja2kcg/3L47Ce++67TxYsWCCrVq2Spk2bFvk+HA6H/PzzzzJ27NhSaSMAH5WUJLZVq3QQZWzaJIbD83CEtKYNdLHyuOnRktauhSXNBACgskhISZFXf1gij994fbkNpL7duFWW7NgtO44ck2OxF6Vvm5by9Z//mG++6QP7yosLFsqHK9bKXaOHlUlbAaC88S+PQ/Y+/vhj+fbbb6VatWpy/vx5PT08PFxCQkL0v2fOnCn169fXtaGUp556Svr06SMtWrSQuLg4ef755+XEiRNy1113lelzAVABpKeLERMjtsWLxbZ2rRg5ToJQkIyoWmK/YbTuFZXSo0PWr5EAAKDEfbI6RjIdDpnUp2e5XbvvL18tu4+flC5Nm8jVxKQC5wsODJBpA/rI64uXyZ2jhla4upoAUClCqddee03/HTJkSK7p7777rvzqV7/S/z558mSuX0quXr0qd999tw6wIiIipHv37hITEyPt2rWzuPUAKgSHQ4ytW7OCqJUrxUhM9LxI9WpinzRC4qZFS9LgniJ+1M8AAKC0fbYmRkZ166wDnZKSnJomF+PjpXFk7RK5v//77e1SN6K6/n4y5JGnCp13Qu/uuufX+n0HZED7NiXy+ABQkZXL4XueqGF9Ob388sv6AgCFHFzE2Ls3q0bUkiViXL7scWU5Q4IlfvwQHUQljuovZlDJF/YDAADunbxwSfadOiO/iR7h9vZTly7L/W98INuOHNXfIXq0aC7PzJwurRv8r66jO5cTEqTvg49Lvzat5KYh/WVsj67XFHrVr1nD63k7N20sEVWryOLtuwilAKA8hlIAUJKMI0eygihVJ+rMGY/zm/7+kjCir9inj9WBlLNaFV4QAADKwJZDR/Tfjk0a5bvtQpxdxj/5N10w/MHJ4yUtI1PeWrJCrn/2ZVk57y9SOzyswPuNrB6ua1SpXlj3vPaOhIeGypR+PeXGwf3dPlZJ69i4YfZzA4DKjlAKgO85e1b3htJh1KFDXi2SOKC7DqLsU0aKo2b1Um8iAAAo3OFzsfpvo9o18932j+9+lPiUFIl5ao7UrRGhpw3t1E7GPvk3+dfCn2TuzVMLvF8VZP02eoS+7Dx6XNet+jpmi7y7bLV0aNxQbh7SXyb37SXhVUJL5SVqFFlbNq/fWCr3DQAVDaEUAN9w+bLYli3LCqJ27/ZqkZSubXWx8rgbRktmg6hSbyIAAPDe1cRE8fezSZXg4Hy3fbtxm0R375IdSCldmzeVbs2byvJdewoNpXLq0qyJvqj5F23dIZ+uiZFHP/hM5n78lYzt2VXmTJ0kDWp5PzzPG9WrhEpqeoYkp6VLKKUBAFRyhFIAKq7ERLGtWqULlhubN4vhdHpcJK1FY4mbNkbiZoyV9FZNLWkmAAAoOUmpqbouVNM6kfluaxYVKd9v3lbk+1Q1pab06yXX9e4u7y9fI0998pV8HbNZxvfsVuKhlKuGLiffAwBCKQAVTVqaGOvWiZ8KotavFyM93eMiGfUjJW7qGImbNlZSu7blUyAAABVARNWqkulwSmJKqlQN+V9vqauJySX+WAfPnNM1pr5cv0ku2OOldf16cuPgftK/XesSf6y4pGQJCQzUFwCo7OgpBaD8y8wUY+vWrKF5K1aIkZTkeZGIMImfPFLiZoyTpAHdRGw2S5oKAABKRou6dfTfkxcvSbtGDbKnm2ZWz+hjsRfyLXP0/AVpUCt/DSp34pNT5NuNW/WQve1HjkmV4CCZ2LuHPiNf9xbNSu1lPHXxkrSsT9kAAFAIpQCUT6Ypxu7demiebflyMa5c8biIMzRY4scP1UPzEkf0E/MaTu8MAADKVo+WWcHQrmMncoVSLj9u2ynnrlzNriu148gxHS7dPXpYoferel49/N7HuoaUqu3UvUVTefHOW2Vin+5u61eVtJ9PnJIpfXuV+uMAQEVAKAWgfAVRhw9n9Yj66Scxzp3zuIgzwF8SR/WXuGnREj9+iJildKYcAABgrcaRtaVNg3qydu9+uXFw/3y3q5pSE59+QW4bPkjSMjPlrZ9WSETVKnLP+NEeC6iv+nmfzBw2SG4a3F9aN6h3Te3csP+QbNyfdbZfVesqOS1NXv5mkb7ep01L6dumZfa8KmC7mpgko7t3vqbHBABfQSgFoOydPp0dRNmOHvU4u2kYkjSoR1YQNXmkOGqEW9JMAABgrRmD+snzX38vKenp+WowTe3fWwybTd78ablcjk/QZ9F7duYMqVO98M8FURERsuOfz0mgf8l8FVq/b7+8uOCHXNP+/tV3+u8fJ4/LFUot3Lxd6tesIQNKoVYVAFREhFIAyoTt0iXxW7tW/JYsEduePV4tk9yjgw6i7DeMlsx6+c+4AwAAfIvqIfWP736UBTFbdK2nvH4bPUJfiiLA368EWyjy4JQJ+uJJWkaGfL52g9w7YbQYnHoPADRCKQDWiY/XhcrVmfPqbd8uhjOrUGlhUls3Ffu0aF0nKr15I0uaCQAAyoew0BD5/bhR8u9FS2TGoL5iq8AnLvl0zQbx9/fTwwYBAFkIpQCUrtRUsa1dm1Ujav16MTIyPC6S3iBK7NPG6F5RqZ3biPBrIgAAlda940frS0Wnal+pCwDgfwilAJS8zEwxNm3KOnPe6tViJCd7XqRWhNinjNRBVHK/riIV+JdQAAB8nWv4mdOLXs+wnnpdGCIIoCIglAJQMtSHn127soqVL1smRlycx0UcVUMl/rphEjc9WhKH9REJCODVAACgAggJDdE/IKkC5FZrWLuWnPtwvuWPW5GkZGZISJWQsm4GAHhEKAWg+ExTjIMHs3pELVkiRmysx0WcgQGSMGagxI4ZJmnTR4rwgQkAgAonpGqI2AL85aI9oaybgjwSU1IlKT1DqoZVZd0AKPcIpQAU3cmTukeUn6oTdfy4x9lNm00Sh/TSBcvtk4aLI6yaJF9KltCQYMnq/A8AACqSgIAAadGjnWzZe0xGdetU1s1BDtsOHxUzJFDadW3HegFQ7hFKAfDOxYu6N5Qenrdvn1eLJPfupGtE2a8fLZlRtf53g9NkrQMAUMF1699dPl+9XeKSkqR6lSpl3Rz816bDR6VZ1zYSFhHGOgFQ7hFKASiY3S625cuzzpy3fbsYpucwKbVdc4mbPlbipkZLRrMGrF0AAHxUp96d5POqwfL5uo1y96hhFNYuB3YdOyE/X4iVSbeOKeumAIBXCKUA5JaSos+Yp4OoDRvEyMz0uIbSG9XL6hE1PVpSO7ZijQIAUAlUqVZFZtx/m3z893fEWLpS7ho5lGCqjAOpl5csk9ZDe0rfEX3LsikA4DVCKQAiGRlixMRkDc1bs0aM1FSPayUjsoYelqfqRCX36azODc2aBACgkuk9tLf+q4KpQx99Jr2bNZXerVtKg1o1yrpplaaouaohtfnwUdl9IVYHUnf86U5d8wsAKgJCKaCycjr1kDwdRC1fLkZ8vMdFHNWqiH3SCB1EJQ7tJeLPIQQAgMpOBVMRtSNk0/KNsnDddvl6zx4JEkOqBAZKoL9fWTfPJzmcpqRkZEhSRoY4gwOkWZc2MvGW0dJvZD8CKQAVCt8ogcrENMX45ZesIGrpUjEuXPC4iDMoUBLGDdbD8xLGDBQzOMiSpgIAgIqjVYdW+pLx+xvlwK4DcvHcRUlOTJZML8oAoOgMw5Dg0GAJqx4mbbu0lfAa4axGABUSoRRQGRw/Ln4qiFJ1ok6e9Di76ecnicN664Ll8dcNE2dYVUuaCQAAKjY1bKxDjw5l3QwAQAVBKAX4qvPnxbZkSVavqAMHvFokqW9XiZseLfYpI8URWbPUmwgAAAAAqLwIpQBfEhcntmXLsoKoHTu8WiSlYytdI0oNz8toXK/UmwgAAAAAgEIoBVR0SUliW71abIsXi7FpkxgOh8dF0po2yAqipkdLWrsWljQTAAAAAICcCKWAiig9XYyYmKweUWvWiJGW5nGRjDo1xX7DaImbMU5SVK0Hw7CkqQAAAAAAuEMoBVQUDocY27bpHlG2FSvESEz0vEh4NbFPGqF7RCUN7inix2mZAQAAAADlA6EUUJ6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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Saved contour to c:\\dev\\inl\\inl_notebook_outputs\\stability_contour.png\n" ] } ], "source": [ "plt.figure(figsize=(12,7))\n", "CS = plt.contour(alphas, ps, R, levels=[1.0], linewidths=3, colors='red')\n", "plt.clabel(CS, fontsize=12, inline=1, fmt='ρ = %.1f')\n", "\n", "# Add filled contours to show stable/unstable regions\n", "plt.contourf(alphas, ps, R, levels=[0, 1.0, R.max()], colors=['lightgreen', 'lightcoral'], alpha=0.4)\n", "\n", "plt.xlabel('alpha (α)', fontsize=14)\n", "plt.ylabel('p = dt·g·β', fontsize=14)\n", "plt.title('Boundary contour: spectral radius = 1 (stability border)', fontsize=16, pad=20)\n", "plt.grid(True, alpha=0.3)\n", "\n", "# Add text annotations for regions\n", "plt.text(0.2, 0.5, 'STABLE\\n(ρ < 1)', fontsize=12, ha='center', va='center', \n", " bbox=dict(boxstyle='round,pad=0.5', facecolor='lightgreen', alpha=0.7))\n", "plt.text(0.7, 2.5, 'UNSTABLE\\n(ρ > 1)', fontsize=12, ha='center', va='center',\n", " bbox=dict(boxstyle='round,pad=0.5', facecolor='lightcoral', alpha=0.7))\n", "\n", "# Set better axis limits\n", "plt.xlim(0, 1)\n", "plt.ylim(0, 3)\n", "\n", "plt.tight_layout()\n", "figpath = os.path.join(output_dir, 'stability_contour.png')\n", "plt.savefig(figpath, dpi=150, bbox_inches='tight')\n", "plt.show()\n", "print('Saved contour to', figpath)" ] }, { "cell_type": "markdown", "id": "2db819f7", "metadata": {}, "source": [ "## Eigenvalue magnitudes (examples)\n", "Check eigenvalue magnitudes for representative parameter choices." ] }, { "cell_type": "code", "execution_count": 24, "id": "a5a86362", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Saved eigenvalue plot to c:\\dev\\inl\\inl_notebook_outputs\\eigenvalue_examples.png\n" ] } ], "source": [ "examples = [\n", " (0.1, 0.4, 'safe'),\n", " (0.3, 1.6, 'near-bound'), \n", " (0.5, 2.5, 'unstable'),\n", " (0.7, 0.2, 'damped'),\n", " (0.9, 1.0, 'high-alpha')\n", "]\n", "\n", "plt.figure(figsize=(12,7))\n", "colors = ['green', 'orange', 'red', 'blue', 'purple']\n", "\n", "for idx, (a, p, label) in enumerate(examples):\n", " A = np.array([[1-p, p*a], [-1.0, a]])\n", " vals = np.linalg.eigvals(A)\n", " \n", " # Plot the two eigenvalues for each parameter set\n", " y_vals = [np.abs(vals[0]), np.abs(vals[1])]\n", " x_vals = [a - 0.02, a + 0.02]\n", " \n", " plt.scatter(x_vals, y_vals, marker='o', s=60, color=colors[idx], \n", " label=f'{label} (α={a}, p={p})', alpha=0.8)\n", " \n", " # Add text annotation with better positioning\n", " max_y = max(y_vals)\n", " plt.annotate(f'{label}\\n(α={a}, p={p})', \n", " xy=(a, max_y), xytext=(a, max_y + 0.15),\n", " ha='center', va='bottom', fontsize=9,\n", " bbox=dict(boxstyle='round,pad=0.3', facecolor=colors[idx], alpha=0.3))\n", "\n", "plt.xlabel('alpha (α)', fontsize=12)\n", "plt.ylabel('|eigenvalues|', fontsize=12)\n", "plt.title('Eigenvalue magnitudes for example parameter sets', fontsize=14)\n", "plt.ylim(0, 3.5)\n", "plt.xlim(-0.05, 1.05)\n", "plt.grid(True, alpha=0.3)\n", "plt.legend(bbox_to_anchor=(1.05, 1), loc='upper left')\n", "plt.tight_layout()\n", "figpath = os.path.join(output_dir, 'eigenvalue_examples.png')\n", "plt.savefig(figpath, dpi=150, bbox_inches='tight')\n", "plt.show()\n", "print('Saved eigenvalue plot to', figpath)" ] }, { "cell_type": "markdown", "id": "b3b077b3", "metadata": {}, "source": [ "## Energy simulation trajectories\n", "Simulate energy decay for representative parameters and plot." ] }, { "cell_type": "code", "execution_count": 22, "id": "8dcd0860", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Saved energy plot to c:\\dev\\inl\\inl_notebook_outputs\\energy_trajectories.png\n" ] } ], "source": [ "sim_params = [\n", " {'alpha':0.8,'beta':1.0,'dt':0.4,'g':1.0,'label':'safe'},\n", " {'alpha':0.8,'beta':1.0,'dt':1.6,'g':1.0,'label':'near-bound'},\n", " {'alpha':0.8,'beta':1.0,'dt':2.5,'g':1.0,'label':'unstable'},\n", " {'alpha':0.2,'beta':1.0,'dt':0.2,'g':1.0,'label':'damped'},\n", " {'alpha':0.9,'beta':1.0,'dt':1.0,'g':1.0,'label':'high-alpha'}\n", "]\n", "\n", "plt.figure(figsize=(9,5))\n", "for p in sim_params:\n", " E = simulate_inl(p['alpha'], p['beta'], p['dt'], p['g'], steps=300, seed=42, excite=True)\n", " plt.plot(E, label=f\"{p['label']} (α={p['alpha']}, p={p['dt']*p['g']*p['beta']:.2f})\")\n", "plt.yscale('log')\n", "plt.xlabel('iteration n')\n", "plt.ylabel('Energy E(n) (log scale)')\n", "plt.title('Energy trajectories for representative parameter sets')\n", "plt.legend()\n", "plt.grid(True)\n", "plt.tight_layout()\n", "figpath = os.path.join(output_dir, 'energy_trajectories.png')\n", "plt.savefig(figpath, dpi=150)\n", "plt.show()\n", "print('Saved energy plot to', figpath)" ] }, { "cell_type": "markdown", "id": "97f8d209", "metadata": {}, "source": [ "## Save numerical report\n", "Save a JSON report with approximate p_break (first p where spectral radius >= 1) for sampled alphas." ] }, { "cell_type": "code", "execution_count": 23, "id": "53a3d85a", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Saved report to c:\\dev\\inl\\inl_notebook_outputs\\inl_stability_report.json\n" ] } ], "source": [ "safe_mask = R < 1.0\n", "p_break = []\n", "for j, a in enumerate(alphas):\n", " col = R[:, j]\n", " idx = np.where(col >= 1.0)[0]\n", " if idx.size == 0:\n", " p_break.append(None)\n", " else:\n", " p_break.append(float(ps[idx[0]]))\n", "report = {\n", " 'note': 'p = dt*g*beta. This report assumes beta=g=1 for mapping; scale accordingly.',\n", " 'alpha_samples': alphas.tolist()[::20],\n", " 'p_break_samples': [p_break[i] for i in range(0, len(p_break), 20)],\n", " 'theoretical_sufficient_rule': '0 <= alpha < 1 and 0 < p < 2*(1+alpha)'\n", "}\n", "report_path = os.path.join(output_dir, 'inl_stability_report.json')\n", "with open(report_path, 'w') as f:\n", " json.dump(report, f, indent=2)\n", "print('Saved report to', report_path)" ] }, { "cell_type": "markdown", "id": "19d3c905", "metadata": {}, "source": [ "## How to use this notebook\n", "- Open in Jupyter / VS Code and run all cells.\n", "- Figures and JSON report will be saved under `c:\\dev\\inl\\inl_notebook_outputs`.\n", "- To adapt to non-unit beta/g, remember $p = dt\\cdot g\\cdot\\beta$ and scale accordingly.\n", "\n", "If you want, I can also produce a condensed PDF report from the figures." ] } ], "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": "3.13.3" } }, "nbformat": 4, "nbformat_minor": 5 }