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<h1>Source code for pyFTS.data.logistic_map</h1><div class="highlight"><pre>
<span></span><span class="sd">"""</span>
<span class="sd">May, Robert M. (1976). "Simple mathematical models with very complicated dynamics".</span>
<span class="sd">Nature. 261 (5560): 459–467. doi:10.1038/261459a0.</span>
<span class="sd">x(t) = r * x(t-1) * (1 - x(t -1) )</span>
<span class="sd">"""</span>
<span class="kn">import</span> <span class="nn">numpy</span> <span class="k">as</span> <span class="nn">np</span>
<div class="viewcode-block" id="get_data"><a class="viewcode-back" href="../../../pyFTS.data.html#pyFTS.data.logistic_map.get_data">[docs]</a><span class="k">def</span> <span class="nf">get_data</span><span class="p">(</span><span class="n">r</span><span class="p">:</span> <span class="nb">float</span> <span class="o">=</span> <span class="mi">4</span><span class="p">,</span> <span class="n">initial_value</span><span class="p">:</span> <span class="nb">float</span> <span class="o">=</span> <span class="mf">0.3</span><span class="p">,</span> <span class="n">iterations</span><span class="p">:</span> <span class="nb">int</span><span class="o">=</span><span class="mi">100</span><span class="p">)</span> <span class="o">-></span> <span class="nb">list</span><span class="p">:</span>
<span class="w"> </span><span class="sd">'''</span>
<span class="sd"> Return a list with the logistic map chaotic time series.</span>
<span class="sd"> :param r: Equation coefficient</span>
<span class="sd"> :param initial_value: Initial value of x. Default: 0.3</span>
<span class="sd"> :param iterations: number of iterations. Default: 100</span>
<span class="sd"> :return:</span>
<span class="sd"> '''</span>
<span class="n">x</span> <span class="o">=</span> <span class="p">[</span><span class="n">initial_value</span><span class="p">]</span>
<span class="k">for</span> <span class="n">t</span> <span class="ow">in</span> <span class="n">np</span><span class="o">.</span><span class="n">arange</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span><span class="n">iterations</span><span class="p">):</span>
<span class="n">x</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">r</span> <span class="o">*</span> <span class="n">x</span><span class="p">[</span><span class="n">t</span><span class="p">]</span><span class="o">*</span><span class="p">(</span><span class="mi">1</span> <span class="o">-</span> <span class="n">x</span><span class="p">[</span><span class="n">t</span><span class="p">]))</span>
<span class="k">return</span> <span class="n">x</span></div>
</pre></div>
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