文献类型：期刊文献

英文题名：Dynamical analysis and boundedness for a generalized chaotic Lorenz model

作者：Mao, Xinna[1];Feng, Hongwei[2];Al-Towailb, Maryam A.[3];Saberi-Nik, Hassan[4]

通讯作者：Mao, XN[1];Saberi-Nik, H[2]

机构：[1]Xinxiang Univ, Sch Math & Stat, Xinxiang 453000, Henan, Peoples R China;[2]Xinxiang Univ, Sch Civil Engn & Architecture, Xinxiang 453000, Henan, Peoples R China;[3]King Saud Univ, Dept Comp Sci & Engn, Coll Appl Studies & Community Serv, Riyadh, Saudi Arabia;[4]Univ Neyshabur, Dept Math & Stat, Neyshabur, Iran

第一机构：新乡学院

通讯机构：[1]corresponding author), Xinxiang Univ, Sch Math & Stat, Xinxiang 453000, Henan, Peoples R China;[2]corresponding author), Univ Neyshabur, Dept Math & Stat, Neyshabur, Iran.|[11071]新乡学院;

年份：2023

卷号：8

期号：8

起止页码：19719-19742

外文期刊名：AIMS MATHEMATICS

收录：;Scopus(收录号：2-s2.0-85161651611);WOS:【SCI-EXPANDED(收录号:WOS:001013706200007)】；

语种：英文

外文关键词：generalized chaotic Lorenz system; globally exponentially attractive set; ultimate bound set; finite-time synchronization

摘要：The dynamical behavior of a 5-dimensional Lorenz model (5DLM) is investigated. Bifurcation diagrams address the chaotic and periodic behaviors associated with the bifurcation parameter. The Hamilton energy and its dependence on the stability of the dynamical system are presented. The global exponential attractive set (GEAS) is estimated in different 3-dimensional projection planes. A more conservative bound for the system is determined, that can be applied in synchronization and chaos control of dynamical systems. Finally, the finite time synchronization of the 5DLM, indicating the role of the ultimate bound for each variable, is studied. Simulations illustrate the effectiveness of the achieved theoretical results.