%0 Journal Article %T Quasiattractors in coupled maps and coupled dielectric cavities %A Jung-Wan Ryu %A Martina Hentschel %A Sang Wook Kim %J Physics %D 2012 %I arXiv %X We study the origin of attracting phenomena in the ray dynamics of coupled optical microcavities. To this end we investigate a combined map that is composed of standard and linear map, and a selection rule that defines when which map has to be used. We find that this system shows attracting dynamics, leading exactly to a quasiattractor, due to collapse of phase space. For coupled dielectric disks, we derive the corresponding mapping based on a ray model with deterministic selection rule and study the quasiattractor obtained from it. We also discuss a generalized Poincar\'e surface of section at dielectric interfaces. %U http://arxiv.org/abs/1203.4316v1