Henon_map.zip

  • hbuliangtie
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  • matlab
    开发工具
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  • 2020-03-11 16:04
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HENON MAP的MATLAB实现,可以尝试一下 简单高效
Henon_map.zip
  • Henon_map.pdf
    102.7KB
  • Henon_map.m
    714B
  • license.txt
    1.3KB
内容介绍
<html xmlns="http://www.w3.org/1999/xhtml"> <head> <meta charset="utf-8"> <meta name="generator" content="pdf2htmlEX"> <meta http-equiv="X-UA-Compatible" content="IE=edge,chrome=1"> <link rel="stylesheet" href="https://static.pudn.com/base/css/base.min.css"> <link rel="stylesheet" href="https://static.pudn.com/base/css/fancy.min.css"> <link rel="stylesheet" href="https://static.pudn.com/prod/directory_preview_static/625053c374bc5c01055e0a45/raw.css"> <script src="https://static.pudn.com/base/js/compatibility.min.js"></script> <script src="https://static.pudn.com/base/js/pdf2htmlEX.min.js"></script> <script> try{ pdf2htmlEX.defaultViewer = new pdf2htmlEX.Viewer({}); }catch(e){} </script> <title></title> </head> <body> <div id="sidebar" style="display: none"> <div id="outline"> </div> </div> <div id="pf1" class="pf w0 h0" data-page-no="1"><div class="pc pc1 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="https://static.pudn.com/prod/directory_preview_static/625053c374bc5c01055e0a45/bg1.jpg"><div class="t m0 x1 h2 y1 ff1 fs0 fc0 sc0 ls0 ws0">The<span class="_ _0"> </span>Henon<span class="_ _0"> </span>Map</div><div class="t m0 x2 h2 y2 ff1 fs0 fc0 sc0 ls0 ws0">Mo<span class="_ _1"></span>ysis<span class="_ _0"> </span>Lazaros</div><div class="t m0 x3 h3 y3 ff2 fs1 fc0 sc0 ls0 ws0">Ma<span class="_ _1"></span>y<span class="_ _2"> </span>13,<span class="_ _2"> </span>2014</div><div class="t m0 x4 h4 y4 ff3 fs2 fc0 sc0 ls0 ws0">In<span class="_ _1"></span>tro<span class="_ _3"></span>duction</div><div class="t m0 x4 h5 y5 ff4 fs3 fc0 sc0 ls0 ws0">This<span class="_ _4"> </span>is<span class="_ _4"> </span>a<span class="_ _4"> </span>simple<span class="_ _4"> </span>implemen<span class="_ _1"></span>tation<span class="_ _4"> </span>of<span class="_ _4"> </span>the<span class="_ _4"> </span>Henon<span class="_ _4"> </span>system.<span class="_ _5"> </span>It<span class="_ _4"> </span>is<span class="_ _4"> </span>a<span class="_ _4"> </span>discrete<span class="_ _4"> </span>time</div><div class="t m0 x4 h5 y6 ff4 fs3 fc0 sc0 ls0 ws0">system<span class="_ _6"> </span>that<span class="_ _6"> </span>maps<span class="_ _6"> </span>a<span class="_ _6"> </span>point<span class="_ _6"> </span>(<span class="ff5">x</span></div><div class="t m0 x5 h6 y7 ff6 fs4 fc0 sc0 ls0 ws0">n</div><div class="t m0 x6 h7 y6 ff5 fs3 fc0 sc0 ls0 ws0">,<span class="_ _7"> </span>y</div><div class="t m0 x7 h6 y7 ff6 fs4 fc0 sc0 ls0 ws0">n</div><div class="t m0 x8 h5 y6 ff4 fs3 fc0 sc0 ls0 ws0">)<span class="_ _6"> </span>in<span class="_ _6"> </span>the<span class="_ _6"> </span>follo<span class="_ _1"></span>wing<span class="_ _6"> </span>fashion:</div><div class="t m0 x4 h7 y8 ff5 fs3 fc0 sc0 ls0 ws0">x</div><div class="t m0 x9 h8 y9 ff6 fs4 fc0 sc0 ls0 ws0">n<span class="ff7">+1</span></div><div class="t m0 xa h5 y8 ff4 fs3 fc0 sc0 ls0 ws0">=<span class="_"> </span>1<span class="_ _8"> </span><span class="ff8">&#8722;<span class="_ _8"> </span><span class="ff5">ax</span></span></div><div class="t m0 xb h8 ya ff7 fs4 fc0 sc0 ls0 ws0">2</div><div class="t m0 xb h6 yb ff6 fs4 fc0 sc0 ls0 ws0">n</div><div class="t m0 xc h5 y8 ff4 fs3 fc0 sc0 ls0 ws0">+<span class="_ _8"> </span><span class="ff5">y</span></div><div class="t m0 xd h6 y9 ff6 fs4 fc0 sc0 ls0 ws0">n</div><div class="t m0 x4 h7 yc ff5 fs3 fc0 sc0 ls0 ws0">y</div><div class="t m0 xe h8 yd ff6 fs4 fc0 sc0 ls0 ws0">n<span class="ff7">+1</span></div><div class="t m0 xf h5 yc ff4 fs3 fc0 sc0 ls0 ws0">=<span class="_"> </span><span class="ff5">bx</span></div><div class="t m0 x10 h6 yd ff6 fs4 fc0 sc0 ls0 ws0">n</div><div class="t m0 x4 h5 ye ff4 fs3 fc0 sc0 ls0 ws0">where<span class="_ _6"> </span>a<span class="_ _6"> </span>and<span class="_ _6"> </span>b<span class="_ _6"> </span>are<span class="_ _6"> </span>the<span class="_ _6"> </span>system<span class="_ _6"> </span>parameters</div><div class="t m0 x4 h9 yf ff3 fs1 fc0 sc0 ls0 ws0">The<span class="_ _4"> </span>co<span class="_ _3"></span>de</div><div class="t m0 x4 h5 y10 ff4 fs3 fc0 sc0 ls0 ws0">W<span class="_ _9"></span>e<span class="_ _6"> </span>start<span class="_ _6"> </span>b<span class="_ _1"></span>y<span class="_ _6"> </span>de&#64257;ning<span class="_ _6"> </span>the<span class="_ _6"> </span>initial<span class="_ _6"> </span>v<span class="_ _1"></span>alues</div><div class="t m0 x4 h7 y11 ff9 fs3 fc0 sc0 ls0 ws0">x(1)=0;</div><div class="t m0 x4 h7 y12 ff9 fs3 fc0 sc0 ls0 ws0">y(1)=0;</div><div class="t m0 x4 h7 y13 ff9 fs3 fc0 sc0 ls0 ws0">a=1.4;</div><div class="t m0 x4 h7 y14 ff9 fs3 fc0 sc0 ls0 ws0">b=0.3;</div><div class="t m0 x4 h7 y15 ff9 fs3 fc0 sc0 ls0 ws0">%<span class="_ _0"> </span>and<span class="_ _0"> </span>now<span class="_ _0"> </span>we<span class="_ _0"> </span>begin<span class="_ _0"> </span>the<span class="_ _0"> </span>iteration<span class="_ _0"> </span>(10000<span class="_ _a"> </span>iterations):</div><div class="t m0 x4 h7 y16 ff9 fs3 fc0 sc0 ls0 ws0">for<span class="_ _0"> </span>i=2:10000</div><div class="t m0 x11 h7 y17 ff9 fs3 fc0 sc0 ls0 ws0">x(i)=1-1.4*(x(i-1)^2)+y(i-1);</div><div class="t m0 x11 h7 y18 ff9 fs3 fc0 sc0 ls0 ws0">y(i)=b*x(i-1);</div><div class="t m0 x4 h7 y19 ff9 fs3 fc0 sc0 ls0 ws0">end</div><div class="t m0 x4 h7 y1a ff9 fs3 fc0 sc0 ls0 ws0">plot(x,y,&#8217;.&#8217;,&#8217;MarkerSize&#8217;,4)</div><div class="t m0 x4 h7 y1b ff9 fs3 fc0 sc0 ls0 ws0">title(&#8217;Henon<span class="_ _0"> </span>Map&#8217;)</div><div class="t m0 x12 h5 y1c ff4 fs3 fc0 sc0 ls0 ws0">1</div></div><div class="pi" data-data='{"ctm":[1.568627,0.000000,0.000000,1.568627,0.000000,0.000000]}'></div></div> </body> </html>
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