most recent 30 from http://mathoverflow.net 2013-05-25T08:18:36Z http://mathoverflow.net/feeds/question/89291 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/89291/topological-and-dynamical-complexity unknown (google) 2012-02-23T15:00:25Z 2012-02-23T15:00:25Z

<p>Consider a high-dimensional dynamical system, say in $\mathbb{R}^n$. Suppose the system is in a chaotic regime (positive maximum Lyapunov exponent).</p> <p>My question is very general and open:</p> <p>Is there a link between </p> <ul> <li><p>the number of unstable equilibrium points (what I call topological complexity)</p></li> <li><p>the lyapunov exponent (what I call dynamical complexity) ?</p></li> </ul> <p>I acknoledge the question is not very precise, but I would be happy to hear what you might think about it.</p>