last-generated=2026-06-08
statistics-simulation=
{
  "linear": " ",
  "nonlinear": " ",
  "number of continuous time states": "2",
  "numerical Jacobians": "0"
}
time=[-2e+00, 2e+00]
dp=[-2.828427076339722e+00, -2.582630648144232e+00, -2.35377836233826e+00, -2.141018176856341e+00, -1.943525276088586e+00, -1.760501238613356e+00, -1.591171661384641e+00, -1.434788835810838e+00, -1.290630285003245e+00, -1.157996819562704e+00, -1.036215117240983e+00, -9.246359815358296e-01, -8.226331345166972e-01, -7.296048579692919e-01, -6.4497244857623e-01, -5.681803666267586e-01, -4.986950819512837e-01, -4.3600617085616e-01, -3.796250908171643e-01, -3.290846235194437e-01, -2.839393113892207e-01, -2.437648198595135e-01, -2.081570436909149e-01, -1.767326728483252e-01, -1.491283129790083e-01, -1.25e-01, -1.040232958267187e-01, -8.589320685246245e-02, -7.042708419666702e-02, -5.752903260017177e-02, -4.692358616458349e-02, -3.825607341028518e-02, -3.117435349460716e-02, -2.536746022228573e-02, -2.057889076178465e-02, -1.6606317576877e-02, -1.329479069447023e-02, -1.05276045547555e-02, -8.21719748687205e-03, -6.29716097725253e-03, -4.715750251360051e-03, -3.43095238206066e-03, -2.406908597898714e-03, -1.611448105896437e-03, -1.014482416714891e-03, -5.870069474286369e-04, -3.005328101472024e-04, -1.267854622571871e-04, -3.756595384026113e-05, -4.695743355173621e-06, 0e+00, 4.695743355173621e-06, 3.756595384026113e-05, 1.267854622571871e-04, 3.005328101472037e-04, 5.870069474286387e-04, 1.014482416714894e-03, 1.611448105896433e-03, 2.406908597898709e-03, 3.430952382060654e-03, 4.715750251360051e-03, 6.29716097725253e-03, 8.21719748687205e-03, 1.05276045547555e-02, 1.329479069447023e-02, 1.6606317576877e-02, 2.057889076178467e-02, 2.536746022228576e-02, 3.117435349460719e-02, 3.825607341028513e-02, 4.692358616458344e-02, 5.752903260017171e-02, 7.042708419666702e-02, 8.589320685246245e-02, 1.040232958267187e-01, 1.25e-01, 1.491283129790083e-01, 1.767326728483252e-01, 2.081570436909149e-01, 2.437648198595135e-01, 2.83939311389221e-01, 3.29084623519444e-01, 3.79625090817164e-01, 4.3600617085616e-01, 4.986950819512837e-01, 5.681803666267586e-01, 6.4497244857623e-01, 7.296048579692919e-01, 8.226331345166972e-01, 9.246359815358296e-01, 1.036215117240983e+00, 1.157996819562704e+00, 1.290630285003246e+00, 1.434788835810838e+00, 1.59117166138464e+00, 1.760501238613355e+00, 1.943525276088585e+00, 2.141018176856341e+00, 2.35377836233826e+00, 2.582630648144232e+00, 2.828427076339722e+00]
dp_comp=[-2.828427076339722e+00, -2.582630409725652e+00, -2.353778362336981e+00, -2.141017938437762e+00, -1.943525156879296e+00, -1.760501000194777e+00, -1.591171422966062e+00, -1.434788597392259e+00, -1.290630046584666e+00, -1.157996581144125e+00, -1.036214878822404e+00, -9.246357431172505e-01, -8.226328364936154e-01, -7.29604559946068e-01, -6.449721505530062e-01, -5.681800686035348e-01, -4.986948137304355e-01, -4.360059026352585e-01, -3.796248523985852e-01, -3.290843851008646e-01, -2.839390729706416e-01, -2.437645665398354e-01, -2.081567903711657e-01, -1.767324046274237e-01, -1.491280298570166e-01, -1.249997094273567e-01, -1.040229903529142e-01, -8.589290137864243e-02, -7.04267787228581e-02, -5.75287308516576e-02, -4.692328069078457e-02, -3.825577166176656e-02, -3.117404802080269e-02, -2.536715661112474e-02, -2.057858715062199e-02, -1.660601396572323e-02, -1.329448987727891e-02, -1.05273065315294e-02, -8.216904120259797e-03, -6.296871801592973e-03, -4.715465266652913e-03, -3.430671122644375e-03, -2.406630365279131e-03, -1.611172317999098e-03, -1.014208724293042e-03, -5.867349430292967e-04, -3.00262231835329e-04, -1.265161499619777e-04, -3.729782752616557e-05, -4.428822576333866e-06, 2.661222424649168e-07, 4.961311260605203e-06, 3.783094421655262e-05, 1.270502780105374e-04, 3.007984990156253e-04, 5.872748772916066e-04, 1.014754013661419e-03, 1.611726804176609e-03, 2.407194746761217e-03, 3.43124761131306e-03, 4.716057122146305e-03, 6.297483680525745e-03, 8.217541144907079e-03, 1.052797428983095e-02, 1.329519302582025e-02, 1.660675716111001e-02, 2.057937318689165e-02, 2.53679761749871e-02, 3.117488807375836e-02, 3.82566247532493e-02, 4.692414495812821e-02, 5.752959884429708e-02, 7.042765789137298e-02, 8.589378054716841e-02, 1.040238769720052e-01, 1.250006109476089e-01, 1.491289388277784e-01, 1.767332986970953e-01, 2.08157669539685e-01, 2.43765460609507e-01, 2.839399968424582e-01, 3.290852791705721e-01, 3.796257762705789e-01, 4.360068265072525e-01, 4.986957376024295e-01, 5.681809626732064e-01, 6.449730446226778e-01, 7.296054540157396e-01, 8.22633730563287e-01, 9.246365775827037e-01, 1.036215713287431e+00, 1.157997415609152e+00, 1.290630881050475e+00, 1.434789551066149e+00, 1.59117225743123e+00, 1.760501953869092e+00, 1.94352587213553e+00, 2.141018892112078e+00, 2.353779077592719e+00, 2.582631363399969e+00, 2.828427791595459e+00]
der(dp)=[6.363961219787598e+00, 5.929509237880571e+00, 5.516668276690525e+00, 5.124777362783524e+00, 4.753186879413176e+00, 4.401253156928156e+00, 4.068336564412063e+00, 3.753808042690977e+00, 3.457045219881647e+00, 3.177430012071741e+00, 2.914354888548979e+00, 2.667219029765517e+00, 2.435426819703603e+00, 2.218393226416853e+00, 2.015538890937644e+00, 1.826293935738311e+00, 1.650093971985449e+00, 1.486384663460842e+00, 1.334619508112198e+00, 1.194258657991562e+00, 1.06477245904061e+00, 9.456393487229395e-01, 8.363452430233207e-01, 7.363861380589893e-01, 6.45266735745339e-01, 5.625e-01, 4.876091865706016e-01, 4.198724051980786e-01, 3.537227291034402e-01, 2.923891926622318e-01, 2.393931008830629e-01, 1.954648591048365e-01, 1.59921549403182e-01, 1.314914033206441e-01, 1.08777143031336e-01, 9.049314044771337e-02, 7.556565026623326e-02, 6.315521702402853e-02, 5.263911452535348e-02, 4.357626340162441e-02, 3.566783185179853e-02, 2.87204492200135e-02, 2.261515065213684e-02, 1.728283413091351e-02, 1.268607715176905e-02, 8.806278671784459e-03, 5.635186822437099e-03, 3.16965617911932e-03, 1.408724064007342e-03, 3.521807257506452e-04, 0e+00, 3.521807257506452e-04, 1.408724064007342e-03, 3.16965617911932e-03, 5.635186822437114e-03, 8.806278671784478e-03, 1.268607715176907e-02, 1.728283413091348e-02, 2.261515065213681e-02, 2.872044922001346e-02, 3.566783185179853e-02, 4.357626340162441e-02, 5.263911452535348e-02, 6.315521702402853e-02, 7.556565026623326e-02, 9.049314044771337e-02, 1.087771430313361e-01, 1.314914033206442e-01, 1.599215494031821e-01, 1.954648591048363e-01, 2.393931008830626e-01, 2.923891926622316e-01, 3.537227291034402e-01, 4.198724051980786e-01, 4.876091865706016e-01, 5.625e-01, 6.45266735745339e-01, 7.363861380589893e-01, 8.363452430233207e-01, 9.456393487229395e-01, 1.064772459040611e+00, 1.194258657991563e+00, 1.334619508112197e+00, 1.486384663460842e+00, 1.650093971985449e+00, 1.826293935738311e+00, 2.015538890937644e+00, 2.218393226416853e+00, 2.435426819703603e+00, 2.667219029765517e+00, 2.914354888548979e+00, 3.177430012071741e+00, 3.457045219881648e+00, 3.753808042690979e+00, 4.068336564412061e+00, 4.401253156928155e+00, 4.753186879413174e+00, 5.124777362783524e+00, 5.516668276690525e+00, 5.92950923788057e+00, 6.363961219787598e+00]
der(dp_comp)=[6.363961219787598e+00, 5.929509237880571e+00, 5.516668276690525e+00, 5.124777362783524e+00, 4.753186879413176e+00, 4.401253156928156e+00, 4.068336564412063e+00, 3.753808042690977e+00, 3.457045219881647e+00, 3.177430012071741e+00, 2.914354888548979e+00, 2.667219029765517e+00, 2.435426819703603e+00, 2.218392987998274e+00, 2.015538890936791e+00, 1.826293816529021e+00, 1.650093971985449e+00, 1.486384663460842e+00, 1.334619388902908e+00, 1.194258657991562e+00, 1.06477245904061e+00, 9.456393487226908e-01, 8.363452430232852e-01, 7.363861380589893e-01, 6.452667357456232e-01, 5.625e-01, 4.876092163730039e-01, 4.198724051979543e-01, 3.537226694987954e-01, 2.923891926622318e-01, 2.393931008830629e-01, 1.954648591048365e-01, 1.599215345020208e-01, 1.314913735183217e-01, 1.087770983278658e-01, 9.049308829364919e-02, 7.556559066158848e-02, 6.315515741938375e-02, 5.263904374484281e-02, 4.357619634639904e-02, 3.566776852186623e-02, 2.87203952033075e-02, 2.261510408600644e-02, 1.72827931527205e-02, 1.268603989886669e-02, 8.806246075494347e-03, 5.635157020114502e-03, 3.16962800661136e-03, 1.408697870559748e-03, 3.521616045338042e-04, -1.474302457893373e-08, 3.521657081741166e-04, 1.408708930015894e-03, 3.169653152322201e-03, 5.635207777198374e-03, 8.806324306588899e-03, 1.268615165758004e-02, 1.728296451607143e-02, 2.261530525168752e-02, 2.872063362186658e-02, 3.566805536921089e-02, 4.357654279840013e-02, 5.263946097736623e-02, 6.315564170714032e-02, 7.556614945512659e-02, 9.049369924123593e-02, 1.087777092754482e-01, 1.314919099601381e-01, 1.599219815369633e-01, 1.954652167326516e-01, 2.393933840051253e-01, 2.92389431080713e-01, 3.537229079173923e-01, 4.198725542096906e-01, 4.876093057798911e-01, 5.625001192092896e-01, 6.452668549549128e-01, 7.363863168726039e-01, 8.363454218372195e-01, 9.456394679322291e-01, 1.064772578249901e+00, 1.194258777200852e+00, 1.334619627321486e+00, 1.486384782670132e+00, 1.650094210404029e+00, 1.826294054947956e+00, 2.01553912935537e+00, 2.218393226416853e+00, 2.435427058122182e+00, 2.667219268184096e+00, 2.914355126967558e+00, 3.17743025049032e+00, 3.457045458300227e+00, 3.753808281109558e+00, 4.068336564412061e+00, 4.401253156930997e+00, 4.753186879413174e+00, 5.124777362783808e+00, 5.516668276693083e+00, 5.929509237882844e+00, 6.363961219787598e+00]
