20.500.12556/DKUM-36041 Visualizing the attraction of strange attractors We describe a simple new method that provides instructive insights into the dynamics of chaotic time-continuous systems that yield strange attractors as solutions in the phase space. In particular, we show that the norm of the vector field component that is orthogonal to the trajectory is an excellent quantity for visualizing the attraction of strange attractors, thus promoting the understanding of their formation and overall structure. Furthermore, based on the existence of zero orthogonal field strengths in planes that form low-dimensional strange attractors, we also provide an innovative explanation for the origin of chaotic behaviour. For instructive purposes, we first apply the method to a simple limit cycle attractor, and then analyse two paradigmatic mathematical models for classical time-continuous chaos. To facilitate the use of our method in graduate as well as undergraduate courses, we also provide user-friendly programs in which the presented theory is implemented. dynamic systems chaotic systems nonlinear dynamics attractors strange attractors dinamični sistemi kaotični sistemi gibanje nelinearna dinamika atraktorji true true false Angleški jezik Slovenski jezik Neznano 2012-06-07 12:49:13 2012-06-07 12:49:13 2024-02-20 09:46:39 2019-07-10 14:04:25 2005 0 0 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 534.83:531.3 14505224 10.1088/0143-0807/26/4/003 0143-0807 URN:SI:UM:DK:UTEKXQON http://www.iop.org/EJ/journal/EJP 1 https://dk.um.si/Dokument.php?lang=slv&id=47083 Pedagoška fakulteta 0 0 0