Dynamics of the Modified n-Degree Lorenz System

被引：18
作者：
Hassan, Sk Sarif [1 ]
Reddy, Moole Parameswar [2 ]
Rout, Ranjeet Kumar [2 ]
机构：
[1] Pingla Thana Mahavidyalaya, Dept Math, Maligram 721140, Paschim Medinip, India
[2] NIT Srinagar, Dept Comp Sci & Engn, Srinagar 190006, Jammu & Kashmir, India
来源：
APPLIED MATHEMATICS AND NONLINEAR SCIENCES | 2019年 / 4卷 / 02期
关键词：
Modified Chaotic System; Chaos; Periodic; Lorenz System & Dynamical Systems;
D O I：
10.2478/AMNS.2019.2.00028
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Lorenz model is one of the most studied dynamical systems. Chaotic dynamics of several modified models of the classical Lorenz system are studied. In this article, a new chaotic model is introduced and studied computationally. By finding the fixed points, the eigenvalues of the Jacobian, and the Lyapunov exponents. Transition from convergence behavior to the periodic behavior (limit cycle) are observed by varying the degree of the system. Also transiting from periodic behavior to the chaotic behavior are seen by changing the degree of the system.
引用
收藏
页码：315 / 330
页数：16
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