{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%html\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Perioodilised trajektoorid ja piirtsüklid" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Perioodilised trajektoorid\n", "\n", "Pideva dünaamilise süsteemi trajektoori $t \\mapsto \\underline{x}(t)$ nimetatakse **perioodiliseks**, kui on olemas $T > 0$ nii, et iga $t$ korral kehtib $\\underline{x}(t + T) = \\underline{x}(t)$, ja $T$ on kõige väiksem positiivne arv selle omadusega. $T$ nimetatakse trajektoori **perioodiks**.\n", "\n", "Oluline on märkida, et püsipunkt $\\underline{x}(t) = \\underline{x}_*$ ei ole antud definitsiooni järgi perioodiline trajektoor. Nimelt kehtib püsipunkte puhul iga $T$ korral $\\underline{x}(t + T) = \\underline{x}(t)$, seega ei ole kõige väiksemat positiivset sellist arvu $T$. Definitsioon aga nõuab, et periood on kõige väiksem positiivne $T$, ja järelikult et $\\underline{x}(t + T') \\neq \\underline{x}(t)$ iga $T'$ korral vahemikus $0 < T' < T$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Piirhulgad\n", "\n", "Kui $t \\mapsto \\underline{x}(t)$ on pideva süsteemi trajektoor, siis on tema **ω-piirhulk** defineeritud kui\n", "\n", "$$\\lim_{\\omega}\\underline{x} = \\bigcap_{t \\in \\mathbb{R}}\\overline{\\{\\underline{x}(t'): t' > t\\}},$$\n", "\n", "ja tema **α-piirhulk** on\n", "\n", "$$\\lim_{\\alpha}\\underline{x} = \\bigcap_{t \\in \\mathbb{R}}\\overline{\\{\\underline{x}(t'): t' < t\\}}.$$\n", "\n", "See tähendab, et $\\underline{y} \\in \\lim_{\\omega}\\underline{x}$ täpselt siis kui on olemas jada $(t_n, n \\in \\mathbb{N})$ nii et $\\lim_{n \\to \\infty}t_n = \\infty$ ja $\\lim_{n \\to \\infty}\\underline{x}(t_n) = \\underline{y}$.\n", "\n", "Samuti kehtib $\\underline{y} \\in \\lim_{\\alpha}\\underline{x}$ täpselt siis kui on olemas jada $(t_n, n \\in \\mathbb{N})$ nii et $\\lim_{n \\to \\infty}t_n = -\\infty$ ja $\\lim_{n \\to \\infty}\\underline{x}(t_n) = \\underline{y}$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Piirtsüklid\n", "\n", "Perioodilist trajektoori $t \\mapsto \\underline{x}(t)$ nimetatakse **piirtsükliks** siis, kui ta on teise trajektoori piirhulk. Täpsemalt saame eristada:\n", "\n", "* Piirtsükkel on **stabiilne**, kui ta on ainult teiste trajektooride ω-piirhulk.\n", "* Piirtsükkel on **ebastabiilne**, kui ta on ainult teiste trajektooride α-piirhulk.\n", "* Piirtsükkel on **pool-stabiilne**, kui on nii teiste trajektooride α-piirhulk kui ω-piirhulk." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Interaktiivne näide: piirtsüklid kahemõõtmelises süsteemis" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Selles näites vaatame kahemõõtmelisi süsteeme, millel on piirtsükkel. Faasiprtreede joonistamiseks kasutame NumPy ja PyPlot." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Süsteemi definitsioon\n", "\n", "Süsteemi faasiruum, millega me tegeleme, on $Q = \\mathbb{R}^2$. Dünaamikat kirjeldab võrrandsüsteem\n", "\n", "\\begin{align}\n", "\\dot{x} &= -x \\cdot f(x^2 + y^2) - y\\\\\n", "\\dot{y} &= -y \\cdot f(x^2 + y^2) + x\n", "\\end{align}\n", "\n", "Siin $f$ on vaba funktsioon.\n", "\n", "Kõigepealt uurime, kus asuvad süsteemi püsipunktid. Tingimusest $\\dot{y} = 0$ järeldub $x = y \\cdot f(x^2 + y^2)$. Koos tingimusega $\\dot{x} = 0$ järeldub sellest\n", "\n", "$$\\begin{split}\n", "0 &= y + x \\cdot f(x^2 + y^2)\\\\\n", "&= y + y \\cdot \\left[f(x^2 + y^2)\\right]^2\\\\\n", "&= y \\cdot \\left\\{1 + \\left[f(x^2 + y^2)\\right]^2\\right\\}\n", "\\end{split}$$\n", "\n", "Kuna liige sulgudes on alati positiivne, peab kehtima $y = 0$, ja seega ka $x = 0$. Sellest järeldub, et ainus püsipunkt on (0, 0).\n", "\n", "Paneme tähele, et $r^2 = x^2 + y^2$ kohta kehtib\n", "\n", "$$\\begin{split}\n", "\\frac{d}{dt}r^2 &= \\frac{d}{dt}(x^2 + y^2)\\\\\n", "&= 2x\\dot{x} + 2y\\dot{y}\\\\\n", "&= -2x^2 \\cdot f(x^2 + y^2) - 2xy - 2y^2 \\cdot f(x^2 + y^2) + 2xy\\\\\n", "&= -2(x^2 + y^2) \\cdot f(x^2 + y^2)\\\\\n", "&= -2r^2 \\cdot f(r^2).\n", "\\end{split}$$\n", "\n", "Sellest järeldub:\n", "\n", "* $\\dot{r} > 0$ kui $f(r^2) < 0$ ja $r > 0$\n", "* $\\dot{r} < 0$ kui $f(r^2) > 0$ ja $r > 0$\n", "* $\\dot{r} = 0$ kui $f(r^2) = 0$ või $r = 0$\n", "\n", "Eriti huvitav on juht $r > 0$ ja $f(r^2) = 0$. Sel juhul on $r$ konstantne, $\\dot{r} = 0$, aga me juba teame, et ainus püsipunkt on $r = 0$. Järelikult peab trajektoor olema kontstantse raadiusega ringjoon. Kui me kirjutame\n", "\n", "\\begin{align}\n", "x &= r\\cos\\phi,\\\\\n", "y &= r\\sin\\phi,\n", "\\end{align}\n", "\n", "siis leiame, et sel juhul kehtib\n", "\n", "\\begin{align}\n", "r\\cos\\phi &= x = \\dot{y} = \\dot{\\phi}r\\cos\\phi\\\\\n", "r\\sin\\phi &= y = -\\dot{x} = \\dot{\\phi}r\\sin\\phi\n", "\\end{align}\n", "\n", "Siit näeme, et kehtib $\\dot{\\phi} = 1$. Sellest järeldub, et trajektoor on perioodiline, ja periood on $T = 2\\pi$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Faasiportreed\n", "\n", "Selleks et paremini näha, mis faasiruumis toimub, joonistame faasiportreesid erinevate funktsioonide $f$ puhul. Defineerime selleks funktsiooni." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def splot(f):\n", " ff = np.vectorize(f)\n", "\n", " fig = plt.figure()\n", " ax = fig.add_subplot(111)\n", " ax.set_aspect('equal', 'box')\n", " ax.set_xlabel('x')\n", " ax.set_ylabel('y')\n", "\n", " X = np.linspace(-1.9, 1.9, 101)\n", " Y = np.linspace(-1.9, 1.9, 101)\n", " XX, YY = np.meshgrid(X, Y)\n", " RR = XX ** 2 + YY ** 2\n", " DX = -YY - XX * ff(RR)\n", " DY = XX - YY * ff(RR)\n", " ax.streamplot(XX, YY, DX, DY, color='b')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### $f(r^2) \\equiv 0$\n", "\n", "Kui $f$ on identselt 0, siis iga trajektoor, millel on $r > 0$, on perioodiline. Iga trajektoor on samuti oma ω-piirhulk kui α-piirhulk. Piirtsükleid ei ole, kuna ükski perioodiline trajektoor ei ole *teise* trajektoori piirhulk." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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Kd61VK+dKz7p1657au5o0aWIIkacmr1+IzCSiwyrfC1ki8+bhTm7YwDX8CcjM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\npxK56y5n0RkZGRxN9OhhL748K4umn5QUx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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "splot(lambda r: 0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### $f(r^2) = r^2 - 1$\n", "\n", "Sel juhul on $r = 1$ perioodiline trajektoor. Kuna $\\dot{r} < 0$ kui $r > 1$ ja $\\dot{r} > 0$ kui $0 < r < 1$, lähenevad teised trajektoorid perioodilisele trajektoorile. Perioodiline trajektoor on nende trajektooride ω-piirhulk, ja seega stabiilne piirtsükkel." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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ypqxAfDyYbTlyIJBx6dL0SVci+ic9ySGbNll/H2xNxFohsouIvlPYr1mICAJK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\nJWIwGAwGbYwSMRgMBoM2/w8j5/dXCRmmKAAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "splot(lambda r: r - 1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### $f(r^2) = 1 - r^2$\n", "\n", "Sel juhul on $r = 1$ perioodiline trajektoor. Kuna $\\dot{r} > 0$ kui $r > 1$ ja $\\dot{r} < 0$ kui $0 < r < 1$, kaugenevad teised trajektoorid perioodiliselt trajektoorilt. Perioodiline trajektoor on nende trajektooride α-piirhulk, ja seega ebastabiilne piirtsükkel." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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Jt3aFhITYQiTd4M0LkS8A7FD53lR0liRReNSpQwd4gwacFJmlmdy5w8mYLx/V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mqtMJlg486bF5mPfX1tp7sQBOzOcuRA3MahQ9qv+aYRHW0ufvTNN/JR1t9+i/kil1ZECe3awSTI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\nsVgsFos2VohYLBaLRZv/B4yX7w2blBqeAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "splot(lambda r: 1 - r)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### $f(r^2) = (1 - r^2)^2$\n", "\n", "Ka sel juhul on $r = 1$ perioodiline trajektoor. Kuna kehtib $\\dot{r} < 0$ kui $r \\notin \\{0, 1\\}$, lähenevad trajektoorid $r > 0$, ja trajektoorid $0 < r < 1$kaugenevad. Sellest järeldub, et trajektoor $r = 1$ on pool-stabiilne piirtsükkel." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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lH4KDYQF06yZ+s928iQBopUrCN05CAoKkefKoN5mHDk25IRCJ99uQAs+z/+UX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\nHABnefETkfkAXkg4/teg8j0Artj6V2PfT1s2AI+Ck6YD0fv3P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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "splot(lambda r: (1 - r) ** 2)" ] } ], "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": "3.5.2" } }, "nbformat": 4, "nbformat_minor": 1 }