论文标题
LOZI地图的更高维度的概括：分叉和动力学
A higher-dimensional generalization of the Lozi map: Bifurcations and dynamics
论文作者
论文摘要
我们概括了二维LOZI地图，以便在三个和更高维度中有系统地获得零件的连续图。与相关的亨逊图的高维概括相似，这些较高维的LOZI地图支持过度核动力学。我们进行分叉分析，并通过数值和分析方法研究动力学。分析扩展到一系列近似值，使Lozi地图中的不连续性平滑。
We generalize the two dimensional Lozi map in order to systematically obtain piece-wise continuous maps in three and higher dimensions. Similar to higher-dimensional generalizations of the related Henon map, these higher-dimensional Lozi maps support hyperchaotic dynamics. We carry out a bifurcation analysis and investigate the dynamics through both numerical and analytical means. The analysis is extended to a sequence of approximations that smooth the discontinuity in the Lozi map.
