{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "c5ba6868-ce76-414c-b5bd-4668b98b77d3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1-element Vector{Num}:\n",
       " kappa"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "using Symbolics\n",
    "@variables kappa"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "2f2503ee-5887-4156-8c3c-8ec7d5742f54",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2×2 Matrix{Num}:\n",
       " \u001b[96m1\u001b[39m - \u001b[96m10\u001b[39mkappa  \u001b[96m-5\u001b[39mkappa\n",
       "           1        0"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "c=5\n",
    "w=10\n",
    "A=[1-w*kappa -c*kappa; 1 0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "d1d21608-0294-41c7-ae37-fcd8f08974b3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "fA (generic function with 1 method)"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fAs=\"fA(kappa)=\"*string(Symbolics.toexpr(A))\n",
    "eval(Meta.parse(fAs))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "1e11b3cc-3e77-46cf-9d00-49b4d1923cdd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2×2 Matrix{Num}:\n",
       " \u001b[96m1\u001b[39m - \u001b[96m10\u001b[39mkappa  \u001b[96m-5\u001b[39mkappa\n",
       "           1        0"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fA(kappa)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "64fe5926-df1c-4bf7-b761-6fb169190ae4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2×2 Matrix{Float64}:\n",
       " 0.0  -0.5\n",
       " 1.0   0.0"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fA(0.1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "566626dd-e388-4df9-a47f-65bdf161d8d4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.026794919243112253"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "k1=(w+2*c-2*sqrt(w*c+c^2))/w^2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "c76631b8-763d-41a0-a17f-095e996952c9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.3732050807568878"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "k2=(w+2*c+2*sqrt(w*c+c^2))/w^2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "b374a9fc-30fc-49a9-9119-757d2713b3cd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "126-element Vector{Vector{Float64}}:\n",
       " [1.0, 0.0]\n",
       " [0.9987502603949663, 0.04997916927067833]\n",
       " [0.9950041652780258, 0.09983341664682815]\n",
       " [0.9887710779360422, 0.14943813247359924]\n",
       " [0.9800665778412416, 0.19866933079506122]\n",
       " [0.9689124217106447, 0.24740395925452294]\n",
       " [0.955336489125606, 0.2955202066613396]\n",
       " [0.9393727128473789, 0.3428978074554514]\n",
       " [0.9210609940028851, 0.3894183423086505]\n",
       " [0.9004471023526769, 0.43496553411123023]\n",
       " [0.8775825618903728, 0.479425538604203]\n",
       " [0.8525245220595057, 0.5226872289306592]\n",
       " [0.8253356149096782, 0.5646424733950355]\n",
       " ⋮\n",
       " [0.8347127848391598, -0.5506855425976376]\n",
       " [0.8611924171615208, -0.5082790774992584]\n",
       " [0.8855195169413194, -0.4646021794137566]\n",
       " [0.9076332790984135, -0.4197640178398589]\n",
       " [0.9274784307440359, -0.373876664830236]\n",
       " [0.9450053693342275, -0.32705481486974064]\n",
       " [0.960170286650366, -0.27941549819892586]\n",
       " [0.9729352782968976, -0.23107778829939138]\n",
       " [0.9832684384425847, -0.18216250427209502]\n",
       " [0.991143939568469, -0.13279190885251674]\n",
       " [0.9965420970232175, -0.0830894028174964]\n",
       " [0.9994494182244994, -0.03317921654755682]"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "circ=[[cos(x),sin(x)] for x=0:0.05:2*pi]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "1c7065aa-be1f-45c4-9b2a-f2e8fc0172cb",
   "metadata": {},
   "outputs": [],
   "source": [
    "using Plots"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "db45d08d-3735-4f12-9176-aa4dfd3fc802",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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X2IqLGCHVFOzCoCUYIQsOSgaerIzFdURBR7wMZPsofvmv8oZ0ZKF24H6E0BJ/OyVdLGX7xgu4pwToTRsXun0UP3K76GekA/zxBdAC9Ajhnq1Nlb9NYVtGCU74HQW61NWTrhkqzNgjXi7D1BktQBDCvYnPZi8mSNtG835GpUsBUM6wQLq0Fz/xFwkX5tYABCHcg+Ry9tA+8fvhQgc3jAiB3j3SnhsfQh/aJ8roFqocghCaq8pEpsZLf4/mB+K4CAAhhJB/9OVlRl47hRMq1A1BCM316EGphxddEIXPDMB/8ZSsHSqsS2Xr0zCJVMWwU4Nm+ed5+Uo5WzUAJ0sA/I6ngWwcwS88Kl0oxQipWiEI4e725rJ//CptjOONmCYKcJNunvS9fvzEXVIxJs6oE4IQ7iKrmj20V1w7VAh3waFBgFt7MIKbHEYfxsQZdUIQwp00yGT6bun5LvzwQKQgwJ0s78NXmsg753GwUH0QhHAnr56UAoz05fvwOQG4C4Eja4bw/zwvnSxCr1BlsIOD2zqQx9alss8G4TJqAM0S6kw/iuVn7pEqcTt7VUEQwq2VNZA5+6RVA3gvg9KlAKjHtHBuSAD9w1GcWagmCEK4tacOS9PC6ZgQ9AYB7s37MXxCAVubioOFqoEghFv48op8voQt7YWzBgHumZNA1g/jX0yQ0itxsFAdEIRwo7RK9sfj0rphvANyEKBFunrSxd342fskCVGoBghC+B2Jkdl7pVd78F08MCgK0HLPd+EMHMG97FUBQQi/868LsqNAFnbGBwOgVSghqwfyy85KaRggtXnY38FvrlWxt89JnwzA+RIAZhDhSv/YjX/sAMZHbR2CEH7z7BHppfv4dq7IQQDzeLELVyeRL5IwQGrTEITwX9+myBlV5IUu+EgAmA1HyaoB/CsnpOxqdAttF/Z6QAghxfXk5WPSqgG8HT4RAGbV1ZM+3ZF78jBOsbdd5rmtTlVV1YoVK1JSUnr06PHkk0/a2dndsMC6deuuXbvW+NjT03PBggVmWS+Yy4sJ0qwIrp8vBkUBzO/P3fmeP4ob0uVp4filaYvMs1WmTp2akJAwYsSIdevWPfvsszcvsHr16vPnz5tlXWB28dnsQB5bgtPnASzDwJNVA/gXj8k1otKlwK2YoUd49uzZhISE/Px8o9E4cODAyMjIJUuW+Pr63rDY5MmTp0+f3vrVgXmZZLLwqLQylnfCTXcBLGaAP431o8t/lf7WE784bY4ZeoRHjhzp27ev0WgkhAQHB4eGhp48efLmxTZt2vTqq69+++23JhMuzG5DPkqUw13IOFxTFMDC/tGH+zBRvorTCm2PGXoBeXl53t7eTU99fHxyc3NvWKZ3794ODg4Gg+Hdd9/98MMPDxw4cPNxxEayLE+bNq3p6eDBgx977LHbrbq2tpbn9fvzqvXNL2ug/3eW3zpcqqlpMFdVVoOtr9vmM8ZqamooVdmvN09KnmzPv5Rg+rp/q0ZIRVEURVGWdXpKRl1dHc/zt0uQm9nb2wvCXZLODEFoMBiu7+TV19c7ODjcsMxbb73V+OC5557r0KHDzz//fH3aXY9S+sADDzQ97dChw83v1sRkMt3h/2pe65v/1ln5/nDS00+Vo6LY+rptPmNMlmU1Nv+V7qTLj/KxUsPggJaneGMQqrH55nJPQchxdx/4NMMeMCgo6Oeff258zBjLysoKDg6+3cKOjo5RUVGZmZm3W4BSOmPGjGaumuO45jRSq1rZ/KRyti6NJU63U+mfEFtft81njKm0+U725O3e5MXj8snJfIsv4MT9j1lLUw1LNN8M7zVu3Ljz588nJSURQnbv3k0IiY2NJYQkJiYePXqUEGIymaqrqxsXTk1NPX78eI8ePVq/XmilRQnSn7vz3vr9WQmggBltOTd78jmuNWNLzNAj9PHxef3114cMGRIbG3vgwIH333+/sdO6Zs2aX3/9dfPmzUVFRVFRUdHR0XZ2dgkJCY8//vjgwYNbv15ojV+yWXIF2ThCpz8qART0Xj9+3E7xoXYcpmrbCMqYeaYwJScnp6SkdO3atWlctLi4uL6+PjAwkBCSn5+fmJgoimKnTp2CgoJu9yaiKBqNxuZPK62srHRxcWl98SrV4ubLjPT4UXwzmpsUpuIgxNbXbfMbJ8s4OTkpXUjLzdwj9fCii7u15Auo82OE9zpZpjnM9oMkMjIyMjLy+le8vLyaHvv5+fn5+ZlrXdBKP6TL9hyZqOYUBFC1N6O5QVvEpzpxrubcn0MLYVeoOzIjS8/Kf++Fey0BKKa9Gx0ZxP3rAo4U2gQEoe58ny47CWRUMHIQQElvRnMrL0ol9UrXAQhCvWnsDr4RrdMTsQFsRxsXOimMe+c87kqhPAShvnyXJjsLZEQQuoMAynutB/fJJbmgVuk6dA9BqCMSI0vOyG+iOwhgG0Kd6YMR3PJf0SlUGIJQR75Lk70cSBy6gwA2Y3E37t9X5DL1XetXUxCEesEIeeuc/FoPdAcBbEiwEx0Xwq26hOmjSkIQ6kV8NmMMRwcBbM7L93EfJMoNiELlIAj14r0L0otdOcQggK3p6kk7uZP/pCIJFYMg1IWkcnamiM2KwOYGsEWLuvL//FXGHXuVgj2jLrx7Xn6qE++A44MANmlUMBU4sisLUagMBKH2ldSTH9LlJ6KwrQFs1/NdcHK9YrBz1L5PLsmTwzg/o9J1AMDtzYrgEsvIhVJ0ChWAINQ4k0w+TJRf6IoNDWDT7DnyaHu6+jKmzCgA+0eN25IhR7qRLh6YLgpg6+Z34NamynUYH7U6BKHGfXFFfrQDtjKACoQ502hvuvEqOoXWhl2kluXVkqP5bFobbGUAdVjQgcPoqPVhF6llX16Rp4dzjoLSdQBA80wK45LKWXI5psxYFYJQy75KludjXBRAPQSOzG7HfX4FnUKrwl5Ssw7mMZ6SPj6YJgOgJk9EcV9dkU2IQitCEGrWv6/I89tj+wKoTIQr7eBOt2UiCa0HO0ptqjKRTdfk2e2wfQHUZ1YE910aDhNaD3aU2rQ5Q471pb64mgyACk1rw23LlKtFpevQDQShNm24yqaFY+MCqJK3A+njQ3dgdNRasK/UoBqR7M6WJ4Vh4wKo1Yy23PfpGB21EuwrNWhrptzXl3oalK4DAFpqWhtuZxZGR60EQahBG9JxNRkAdfMwkH6+dGsGRketAbtLramTyC6MiwKoH0ZHrQa7S63ZmSV398R8UQDVmxzG/ZIt12B01PIQhFqzIZ1Nx3xRAPXzMJDuXnR/LjqFFoc9pqbIjOzMlieE4bJqAFowOpjbkYXDhBaHINSUM8XM20BDnBCEAFowOpjuzEKP0OIQhJqyK5uNDEYKAmhENy9aaSKpFchCy0IQasovWfKIIGxTAI2ghIxEp9DysNPUjmqRnCxig/zRIwTQjtHBdGc2gtCyEITasS+X9fahznZK1wEA5jMyiNufK9dLStehaQhC7YjPxrgogNZ4GEgnd3o4H51CC8J+Uzt2ZbGRQRgXBdCaQQH0YB6C0IIQhBpRUEtya1l3LwQhgNb096NH8nE2oQUhCDUioUDu60M55CCA5sT6cccKmYQ+ocUgCDUioYD188XWBNAgLwPxN9KLpUhCS8GuUyOOFrB+vugPAmhTfz/Ml7EgBKEWSIycKmJ9fBCEANoU60ePIAgtBkGoBedLWIgT9cAt6QE0CkFoUQhCLThWyPpiXBRAu6LcaXkDy61Rug6NQhBqQQIOEAJoGiWklw89XYxOoUUgCLXgRCEOEAJoXFcPer4EQWgRCELVM8kkrZJ1dEcQAmhZV096AWdQWAaCUPWulLMwZ2rgla4DACypqyf9FT1Cy0AQqt7FUtbZA91BAI3r5E5TK1gDLrVmAQhC1btYyjq7K10EAFiYgSdhzvRKOTqF5ocgVL2LZQQ9QgA9wOiohSAIVQ9DowA6gYmjFoIgVLcGmVyrYpFuCEIA7evsQS6VKV2EFiEI1e1KOQt3pvbYjAA6EO5C0yvRIzQ/7EHVLa2CtXVVuggAsIowZ3oVQWgBCEJ1y6gmoc4YFwXQBQ8D4SgprVe6Ds1BEKpbZhULcUIQAuhFGxd6tUrpIjQHQahuGdUk1FnpIgDAWto406tVGB01MwShumVUsVD0CAF0o40LuVaFr7yZIQjVLaMKPUIAHQlzptfQIzQ3BKGKiTIprGOBjvh5CKAX4S7kKnqE5oYgVLGcWupnpAK2IYBu+BlpQR16hGaGnaiK5dXRQEeliwAAK/IykKI6pYvQHAShipU2UE+D0kUAgBV5O9ASnEdobghCFStrIB4GHC0A0BE3e1IlEhPuSmhWCEIVK2ugHvZKFwEAVsRR4m5PyhrwC9icEIQqVtpAPDA0CqAzXgZSXI/5MuaEIFQxDI0C6JCXgZTU44tvTghCFcPQKIAOeTnQ4gali9AWBKGKVZioG4IQQGfc7UkFgtCsEIQqVm7C0CiA7thzrF5SughtQRCqWL1EDLzSRQCAddlzpAGnT5gVglDFTDIR0CEE0Bl7jpgYvvnmZJ4gPHbs2PTp04cPH75ixQrGbjGvt6io6Jlnnhk6dOizzz5bXFxslpWCRKgdfskA6IyBJxgaNS8z7EdzcnJGjRo1fPjw119//eOPP165cuXNy8yYMaOqquqtt96qqKiYOXNm61cKhBBRJrjiNoDeYGjU7ITWv8UXX3wxZMiQp556ihDy1ltvvfTSSwsXLrx+gfPnzx87dmzr1q1Go7Fr164+Pj4XL17s3Llz61etcyLD0CiA7tjztBpJaFZm6FCcOXMmJiam8XFMTExKSkpFRcX1C5w+fbp79+5Go5EQ4ujo2K1btzNnzrR+vWBCjxBAf9AjNDsz9Ajz8/M9PDwaH3t6eja+4urq2rRAQUGBu7t701NPT8+8vLzbvZskST179mx6Om7cuMWLF99u4erqakr12ycSZbuG2poqTqcXW9L51tdz8xljtbW1t5yOoAeCROsaWFWVSelClFFXV8fzvJ2dXTOXd3BwEIS7JJ0ZgtDZ2bm2trbxcU1NDSHk+hRsXKCu7rc7aFVXV9+wwPU4jlu9enXT06CgIGdn59stzBi7w//VPImYXJ0dnZ30uzfU89bXc/MZYxzHOTk5KV2IMh7vLFY3SM7OOr3QsCAI9xSEzXrP1r9FWFhYWlpa4+O0tDSj0ejj43P9AqGhoampqU1P09PTQ0NDb/dulNLo6OjWV6UHOg1AAH0zCsSO6LQ3bCFmOMQ0c+bMH374oaioiBDyySefzJgxg+M4Qsi6detOnjxJCImLi6upqdmxYwchZPv27bW1tcOGDWv9esHAsTrMogYAaB0z9AiHDBkyderUTp06+fj4UEq3b9/e+PoHH3wwZcqUXr16GQyGTz/99OGHHw4JCcnMzPz888/t7XGJTDNw4EmtqHQRAAAqR811wLmwsLC0tDQyMrLpAL4kSZTSxt4hIaS6ujozMzM0NNTR0fF2byKKotFoNJmaexC4srLSxcWllZWrV/TG+o8H2vfx0ekQqc63vp6bzxirqanR7THCijpRlkR3JwelC1HGvU6WaQ4z9Agb+fj43HBokOd/dx1MJyenqKgoc60OCCFGnmBoFEBv3j7PXAVucQ+l69AQnIamYjhGCKBDRXXEyGOyjDkhCFXMQaB1Ir4PAPqCG5GaHYJQxYw8qUWPEEBnKhqYqzkPkAGCUM0ceFaDWaMAOlNhIghC80IQqpinPSuqu/tiAKAlZQ3E1Q7HRMwJQahi3gZSWIfvA4C+4Bih2SEIVczbgRWiRwigM+U4RmhuCEIV8zGQwlr0CAF0RGakWiQuCEKzQhCqmLeBFaBHCKAnBXXEy0B4nV5OylIQhCqGoVEAvcmuZoG3vUgltBCCUMV8DKQAQ6MAepJVzYL1egtSy0EQqpiTwAghOJUQQD+yqkmQI37+mhmCUN0CHGlWNb4VAHqRU8MCHdEjNDMEobq1dSFplUoXAQDWkllFgtEjNDcEobpFuNK0CnwrAPQiu4YF4RihuSqwlL4AACAASURBVCEI1S3chaZVIggB9CKrmgTr9IbEFoQgVLcIF5JaoXQRAGAVMiNZ1SwYp0+YG4JQ3dq6okcIoBdXq5iPA3UUlK5DcxCE6haBIATQjUtlpKO70kVoEYJQ3VztiIEjBbVK1wEAlnepjHV0x0wZ80MQql6kG03GxFEAHbiMILQMBKHqdfWk54oRhADahx6hhSAIVa+bJz1XgiAE0L7LZSwKQWgBCELV6+6FIATQvvxawlPi7aB0HVqEIFS9+zzphRImIQoBNO1iKcZFLQVBqHoudiTAkSaXIwkBtOxEIevlgyC0CAShFnTzomcxXwZA004Usd7eCEKLQBBqAebLAGje8QLWxxdBaBEIQi3o7kXQIwTQsLxaUiuxcBcEoUUgCLWgjw93rJDJiEIAjTpWIPfxoYhBC0EQaoGfkXg70IulSEIAbTpeyPr4YHdtKfjLasRAP3owD0EIoE3HC1kfTBm1GAShRgz0pwfzEYQAGiQzcqoI505YEIJQIwb6o0cIoE3nSpivA/XBNWUsBkGoERGulDGSjnsTAmjO7hwWF4TuoAUhCLWjvx89hNFRAM3ZnS0PD0QQWhCCUDswOgqgPQ0yOZLPhgRgX21B+ONqx9BAGp+NIATQlIQC1sGdehiUrkPTEITa0cWDMkIulSELAbQjPluOw7iohSEINWVMMN2aiSAE0I7dOWx4EHbUloW/r6aMDeG2ZchKVwEA5lFpIudLWCyutW1hCEJNGRZITxWx8gal6wAAc9iVJcf6UaOgdB1ahyDUFEeB9Penv2SjUwigBRuvsqltsJe2OPyJtWZsCLcNhwkB1M8kkx1Z8oRQ7KUtDn9irRkXQrdn4o5MAKoXn806edAAR6Xr0AEEodaEu1BvB3oUl5gBULlN1+TJYdhFWwP+yhr0QFtuXRoOEwKomMzI5gx5ShvMF7UGBKEGzYqg36XJIqIQQLUO5zN/I23rgiC0BgShBkW40jBnui8Xo6MAavXjVXkK5otaC/7Q2jQTo6MAqiUx8n06mxaO7qCVIAi1aWYE3XRVrpeUrgMA7t3uHBbgSDq5IwitBEGoTYGOtIsn3ZmFTiGA+nx1RZ4biZ2z9eBvrVkz23Lr0nCYEEBlKkxkW6b8QFvsnK0Hf2vNmh7O7ciSy3DdUQBV+S5VjgvivB2UrkNPEISa5e1ARgZx36ZgdBRATb5MxrioteHPrWVPdOQ+SkQQAqhGcjlLrWCjgjFNxqoQhFo2JIDKjBzG5dYAVOLLZHl2O84OO2brwt9byyghj0dxqy6hUwigAg0y+fIKm98Bu2Vrw19c4+a25zZnyCX1StcBAHezPk3u7IHTBxWAINQ4LwMZF8p9nYxOIYCt++Ci/FwXXukq9AhBqH1PRnGrLuMOhQA2LaGAldSTMZgmowQEofYN8KcGjuzMQhQC2K4VF+VnO3EcclAJCEJdePk+bvk5XHgUwEbl1LCdWfK89tghKwN/d114oC2XVkkSCtApBLBFHybKD0dybvZK16FXCEJdEDjyYlfunfOYMgNgc2pF8nmS/ExH7I0Vgz+9XjzagTuQJyeXo1MIYFtWJ8kxvlykGw4PKgZBqBdOAnkyCp1CANtSL5F//Cr/pQd2xUrCX19H/tCF/yFdzq1Rug4A+J/PkuQeXrSXN7qDSkIQ6oiXgcyM4FZcxPRRAJvQIJPlv8qvoTuoNGwAfVncjfssSS6oVboOACDk31fkzh6ktw+6gwpDEOpLiBOd3Y5bhnMKAZRmksnb5+S/dMc11ZSHINSdv3Tnv0mW0ysxfRRASV8ly5GupL8fuoPKQxDqjrcDeboTt/Qspo8CKKZeIv93Vn6tB7qDNgFBqEeLuvKbM+RLZegUAijjg0T5Pk86wB/dQZtgniC8ePFiXFxceHj4lClTsrOzb17g5ZdfHvE/jzzyiFlWCi3mZk9e7MK/cRqdQgAFlNaTf/wq/V9v9ENshRm2hCRJEydOjIuLS0hICA4Ofvjhh29e5vTp07GxsYsXL168ePGCBQtav1JopT905o7kszPF6BQCWNvfTkszwjncgNd2CK1/i/j4+Pr6+sWLF1NKly1b5uPjc+XKlfbt29+wWNeuXePi4lq/OjALo0D+3J17+ZgUP9YMnwEAaKaUCrY2VU6cbqd0IfAbM/QIL1682LNnT0opIcTZ2TkyMvLixYs3L7ZkyZKYmJj58+enpKS0fqXQeguiuKI68kM6BkgBrOePx+WX7+N9HJSuA67T3N7Ajz/+ePOL3bt3Dw8PLy4udnFxaXrR3d29sLDwhiUXLFgQFBQkCMK3337bv3//Cxcu+Pj43HJFkiR5eHg0PZ09e/ayZctuV1V1dXVjAOtT65v/z57c/KN2gzxrHXn1jZFi6+u2+Yyx2tpaxtT3oT1ezJ0osFvVq76qquVvIv6P+epSk7q6Op7n7eya26V2cHAQhLskXXODcO3atTe/6OTkFB4e7uHhceHChaYXKyoqPD09b1hy5syZjQ9iYmIOHTq0devWefPm3XJFPM+npaU1PXV0dDQYDLerijHm7OzczCZoT+ubH+dMBqZLK1Mc3oxW3zRubH3dNp8xxnGck5OT0oXcG5mRP+0W3+7L+bi3asM1pqCDg047lYIg3FMQNus9m7nc999/f7v/1bZt29WrVzc+bmhoSEtLi4iIuMNbubu719Tc6cLP1/cIwdKW9+G6/yjOa8+1ddFp9wLAOlYnyQJHZkVgsqjNMcMmGTt2bElJycaNGwkhH374YZs2bXr06EEI2bJly6pVqwghlZWV+/fvF0VRkqS1a9ceP3582LBhrV8vmEWQE13UlX8xAUcKASwov5a8dlL6qD+P35s2yAxB6ODgsG7duhdeeMHDw+Pzzz//9ttvG19PTExMSEgghDQ0NDzzzDOOjo6urq5Lly5dt25dVFRU69cL5vJiV+5yGduWqb4jLgBq8UKC9GgHrpsnctAWUTMecK6rq7vDsLUsy6Io2tvb3+EdRFE0Go0mk6mZa6ysrLx+no7emLH52zPZcwnSuSmCUT0nU2Dr67b5jLGamhoVHSPcmcWePiydnyY4muP7pfNjhPc6WaY5zDlafecNw3HcnVMQFDQmhEZ707+ewl0pAMysViTPHJHej+HNkoJgCThsC/+1MpZfkyofzscAKYA5LTkj9fah40MxKGq7EITwX14G8q9+/IKDUj26hQBmcqGUfZYkv9dPfacn6QqCEH4zoy3XyYO+cRpJCGAGJpk8sl9a2ov3NypdCtwRghB+55P+/JfJ8olCDJACtNabZyQvB/JYFHaztg5bCH7H24H8sy8/dz8GSAFa5WQR+zxJ/nKwgGODtg9BCDd6MIKLdKNLziAJAVqoWiSz9kgf9cegqDogCOEWVg/gv0xmu3MwQArQEi8mSIMD6OQw7GDVAdsJbsHXSL4dws/ZJ+XXKl0KgNrsyGLx2exdzBRVDwQh3NqQADo3ks4/IKJXCNB8hXXk0QPSV4N5V9x5Vz0QhHBbb0bzpfXkvfO4HjdAs8iMzN4rPtKeDvDHFBk1QRDCbQkc+W44v/xXKaEA3UKAu3v9tGSSyRsqvLunziEI4U5CnOhH/fnZ+6SK5l4IHUCntmayL5LY2mEC7rSkOghCuIupbbiRQfTRAxJ6hQC3c7WSPXpA/CEO50uoEoIQ7u79GD6/li09g4OFALdQJ5Hpu6W/dOdjfNEZVCUEIdydHUfWDxc+vSz/kI4sBLjRwiNSO1e6sDN2p2qFLQfN4m8kG+L4Z45IiWUYIgX4zedJ8pF89tlATJBRMQQhNFdvH/pOX37SLqmkXulSAGzD3lz26knpxxG8M84aVDMEIdyD2e24yWH0gT2iiCFS0L3LZWzWHvHboUJ7NxwaVDcEIdybt/rwPCV/PI5LcoOuFdaR8bukt/vwwwORgqqHIIR7w1Pyn6HC9iy24iJ6haBTdRKZ8os4K4LOjcQuVAuwFeGeeRjIL2P4d87L36QgC0F3GCELDkqBjvRNXEF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\" />"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot(first.(circ),last.(circ),aspect_ratio=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "5384bef6-31ec-4f23-b41b-f78f19f62133",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2×2 Matrix{Float64}:\n",
       " 0.0  -0.5\n",
       " 1.0   0.0"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A1=fA(0.1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "33248c4d-3ab7-4ac8-b154-f28aca174bc8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "126-element Vector{Vector{Float64}}:\n",
       " [0.0, 1.0]\n",
       " [-0.024989584635339165, 0.9987502603949663]\n",
       " [-0.04991670832341408, 0.9950041652780258]\n",
       " [-0.07471906623679962, 0.9887710779360422]\n",
       " [-0.09933466539753061, 0.9800665778412416]\n",
       " [-0.12370197962726147, 0.9689124217106447]\n",
       " [-0.1477601033306698, 0.955336489125606]\n",
       " [-0.1714489037277257, 0.9393727128473789]\n",
       " [-0.19470917115432526, 0.9210609940028851]\n",
       " [-0.21748276705561512, 0.9004471023526769]\n",
       " [-0.2397127693021015, 0.8775825618903728]\n",
       " [-0.2613436144653296, 0.8525245220595057]\n",
       " [-0.28232123669751774, 0.8253356149096782]\n",
       " ⋮\n",
       " [0.2753427712988188, 0.8347127848391598]\n",
       " [0.2541395387496292, 0.8611924171615208]\n",
       " [0.2323010897068783, 0.8855195169413194]\n",
       " [0.20988200891992945, 0.9076332790984135]\n",
       " [0.186938332415118, 0.9274784307440359]\n",
       " [0.16352740743487032, 0.9450053693342275]\n",
       " [0.13970774909946293, 0.960170286650366]\n",
       " [0.11553889414969569, 0.9729352782968976]\n",
       " [0.09108125213604751, 0.9832684384425847]\n",
       " [0.06639595442625837, 0.991143939568469]\n",
       " [0.0415447014087482, 0.9965420970232175]\n",
       " [0.01658960827377841, 0.9994494182244994]"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "circ1=(x->A1*x).(circ)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "d5c8b446-7916-40df-844d-a6aebac245c2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\" />"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot(first.(circ),last.(circ),aspect_ratio=1)\n",
    "plot!(first.(circ1),last.(circ1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "b1881045-af6f-41db-a4fb-a706dbab7d6a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2×2 Matrix{Float64}:\n",
       " 0.0  -0.5\n",
       " 1.0   0.0"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "d9ae6ae1-b1b8-410d-8a75-9c36bcb03781",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2×2 Matrix{ComplexF64}:\n",
       "      0.0-0.57735im       0.0+0.57735im\n",
       " 0.816497-0.0im      0.816497+0.0im"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "using LinearAlgebra\n",
    "eigvecs(A1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "1471acb0-34ed-4e0c-86fc-c281a82db4ae",
   "metadata": {},
   "outputs": [],
   "source": [
    "circk1=(x->fA(k1)*x).(circ);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "fa91b8f6-54e7-4541-a165-756b71a85f48",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
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\" />"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot(first.(circ),last.(circ),aspect_ratio=1)\n",
    "plot!(first.(circk1),last.(circk1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "a2f4a929-28ea-4196-bfc8-acf011eecb8a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2-element Vector{Float64}:\n",
       " 0.36602539247562665\n",
       " 0.36602541509325087"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "eigvals(fA(k1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "22665fb9-9d53-41db-8dbc-156f6d894fd4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2×2 Matrix{Float64}:\n",
       " 0.343724  0.343724\n",
       " 0.939071  0.939071"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "eigvecs(fA(k1))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "59376d4e-abf1-4c2f-9026-d56bb6b31734",
   "metadata": {},
   "source": [
    "Now let's compute the solution... "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "fbd75e57-4aa0-4062-b6d5-e3b81e4bb244",
   "metadata": {},
   "outputs": [],
   "source": [
    "kappa=k1\n",
    "v0=1\n",
    "a0=0\n",
    "v1=v0+c*a0-w*kappa*v0\n",
    "myA=fA(kappa)\n",
    "Xn=[v1,v0]\n",
    "vs=[v0,v1]\n",
    "for n=2:30\n",
    "    Xn=myA*Xn\n",
    "    push!(vs,Xn[1])\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "ad74d8cc-6789-4541-a96e-7ff3e5d4000a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\" />"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "scatter(vs)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "5fe294c5-188a-42b8-b808-3a44a76fb77b",
   "metadata": {},
   "outputs": [],
   "source": [
    "kappa=k1+0.02\n",
    "v0=1\n",
    "a0=0\n",
    "v1=v0+c*a0-w*kappa*v0\n",
    "myA=fA(kappa)\n",
    "Xn=[v1,v0]\n",
    "vs2=[v0,v1]\n",
    "for n=2:30\n",
    "    Xn=myA*Xn\n",
    "    push!(vs2,Xn[1])\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "e964c159-8ad6-4d95-8bce-ff7858d850ae",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\" />"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "scatter(vs)\n",
    "scatter!(vs2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "84d50407-2a71-4e88-ba14-4acdad9dabc3",
   "metadata": {},
   "outputs": [],
   "source": [
    "kappa=k1-0.01\n",
    "v0=1\n",
    "a0=0\n",
    "v1=v0+c*a0-w*kappa*v0\n",
    "myA=fA(kappa)\n",
    "Xn=[v1,v0]\n",
    "vsm1=[v0,v1]\n",
    "for n=2:30\n",
    "    Xn=myA*Xn\n",
    "    push!(vsm1,Xn[1])\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "01b02223-0932-4e57-bc8c-f7b7f89e9da2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\" />"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "scatter(vs)\n",
    "scatter!(vs2)\n",
    "scatter!(vsm1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "01afe522-fb6c-419d-9821-7102a8096d26",
   "metadata": {},
   "outputs": [],
   "source": [
    "kappa=k1+0.3\n",
    "v0=1\n",
    "a0=0\n",
    "v1=v0+c*a0-w*kappa*v0\n",
    "myA=fA(kappa)\n",
    "Xn=[v1,v0]\n",
    "vs3=[v0,v1]\n",
    "for n=2:30\n",
    "    Xn=myA*Xn\n",
    "    push!(vs3,Xn[1])\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "66ad151e-3213-420e-8593-aa7e5ae69645",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\" />"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# velocities don't converge to zero\n",
    "scatter(vs3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "abf2aa4e-5122-4a63-9ae0-0d29251c39d8",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Julia 1.10",
   "language": "julia",
   "name": "julia-1.10"
  },
  "language_info": {
   "file_extension": ".jl",
   "mimetype": "application/julia",
   "name": "julia",
   "version": "1.10.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
