@article{oai:ynu.repo.nii.ac.jp:00006910, author = {Ichiraku, Shigeo}, issue = {2}, journal = {Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学}, month = {}, note = {application/pdf, The Poincare-Bendixon Theorem implies that two dimensional flows have no chaotic behavior. L.O. Chua and Brown showed an example of chaotic 2-dimensional flow with "swicthing" ([1], [2]). M. Misiurewicz showed that the unimodal map derived from the Chua-Brown system has negative Schwarzian derivative for certain parameter values ([3]). In this note we will show an analogous result for the system called Spiral-Linear system, proposed by H. Kawakami and Lozi, which is 2-dimensional chaotic system with "switching" apparently simpler than Chua-Brown system ([4]). The main result of this note is that the 1-dimensional map, which determines behaviors of the system, has negative Schwarzian derivatives.}, pages = {141--146}, title = {ON SPIRAL-LINEAR SYSTEMS}, volume = {44}, year = {1997} }