The use of <a href="https://en.wikipedia.org/wiki/Dynamical_system" class="extiw" title="en:Dynamical system">dynamical systems</a> in meteorology and geophysics implies the constructing of systems of <a href="https://en.wikipedia.org/wiki/Differential_equation" class="extiw" title="en:Differential equation">differential equations</a> containing such atmospheric characteristics as temperature, pressure, density, velocity etc. The solution of these systems allows to examine atmospheric motions, in particular, to prepare the weather forecast.  The figures show the dynamical systems simulating various atmospheric processes (from left to right, from top to bottom)
<ul><li>  a model created to demonstrate the <a href="https://en.wikipedia.org/wiki/Butterfly_effect" class="extiw" title="en:Butterfly effect">"butterfly effect"</a>, for the first time described by <a href="https://en.wikipedia.org/wiki/Edward_Norton_Lorenz" class="extiw" title="en:Edward Norton Lorenz">Edward Lorenz</a>, who noticed its manifestations in meteorology <sup id="cite_ref-a1_1-0" class="reference"><a href="#cite_note-a1-1">[1]</a></sup></li>
<li>  Charni-DeVore atmospheric circulation model <sup id="cite_ref-a2_2-0" class="reference"><a href="#cite_note-a2-2">[2]</a></sup></li>
<li>  Lorenz-84 atmospheric circulation model <sup id="cite_ref-a3_3-0" class="reference"><a href="#cite_note-a3-3">[3]</a></sup></li>
<li>  tropical cyclone model <sup id="cite_ref-a4_4-0" class="reference"><a href="#cite_note-a4-4">[4]</a></sup></li></ul>
A sensitive dependence on parameters and initial conditions is common to such systems, this, in particular, explains the difficulties with weather prediction
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