Dynamical analysis and boundedness for a generalized chaotic Lorenz model-Reference-Cited by-同舟云学术

Dynamical analysis and boundedness for a generalized chaotic Lorenz model

Published:2023 Issue:8 Volume:8 Page:19719-19742
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Mao Xinna¹,Feng Hongwei²,Al-Towailb Maryam A.³,Saberi-Nik Hassan⁴

Affiliation:

1. School of Mathematics and Statistics, Xinxiang University, Xinxiang, Henan 453000, China

2. School of Civil Engineering and Architecture, Xinxiang University, Xinxiang, Henan 453000, China

3. Department of Computer Science and Engineering, College of Applied Studies and Community Service, King Saud University, Riyadh, KSA

4. Department of Mathematics and Statistics, University of Neyshabur, Neyshabur, Iran

Abstract

<abstract><p>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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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