%0 Journal Article
%T Numerical detection of unstable periodic orbits in continuous-time dynamical systems with chaotic behaviors
%A Y. Saiki
%J Nonlinear Processes in Geophysics (NPG)
%D 2007
%I Copernicus Publications
%X An infinite number of unstable periodic orbits (UPOs) are embedded in a chaotic system which models some complex phenomenon. Several algorithms which extract UPOs numerically from continuous-time chaotic systems have been proposed. In this article the damped Newton-Raphson-Mees algorithm is reviewed, and some important techniques and remarks concerning the practical numerical computations are exemplified by employing the Lorenz system.
%U http://www.nonlin-processes-geophys.net/14/615/2007/npg-14-615-2007.html