2025年1月20日 · A two-dimensional map similar to the Hénon map but with the term -alphax_n^2 replaced by -alpha|x_n|. It is given by the equations x_(n+1) = 1-alpha|x_n|+y_n (1) y_(n+1) = …

2023年10月22日 · Among the most popular discrete chaotic attractors (Belykh map, Lorenz map, Hénon map, etc.), Lozi’s chaotic map has been thoroughly explored since its publication in …

2020年10月3日 · This paper reports the finding of such coexisting infinite orbits in an area-preserving Lozi map by numerical simulations. A Lozi map is a piecewise-linear map that was …

We study the presence in the Lozi map of a type of abrupt order-to-order and order-to-chaos transitions which are mediated by an attractor made of a continuum of neutrally stable limit …

We introduce the set of kneading sequences for the Lozi map and prove that it determines the symbolic dynamics for that map. We also introduce two other equivalent approaches.

2020年5月4日 · 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 …

2014年2月2日 · René Lozi M. Hénon defined a map from the plane to itself. The sequence of points obtained by iteration of the mapping either diverges or converges towards a chaotic …

In this paper, we construct the Bowen-Ruelle measure for the Lozi mapping, an almost everywhere hyperbolic diffeomorphism of the plane. We also derive some of its properties …

2011年1月31日 · To enrich the application examples of discrete memristor-based chaotic systems, this article proposes a new three-dimensional (3-D) memristor-based Lozi map by …

2019年5月28日 · We introduce the set of kneading sequences for the Lozi map and prove that it determines the symbolic dynamics for that map. We also introduce two other equivalent …