A New 4-D Conservative System with Hyperchaos and Two Saddle-Focus Hyperbolic Equilibria Points

被引：1
|
作者：
Al-Azzawi, Saad Fawzi [1 ]
Hasan, Anmar M. [1 ]
机构：
[1] Univ Mosul, Coll Comp Sci & Math, Dept Math, Mosul, Iraq
来源：
JOURNAL OF APPLIED NONLINEAR DYNAMICS | 2024年 / 13卷 / 02期
关键词：
Conservative system; Hyperchaotic; Multistability; Complete synchronization; HIDDEN CHAOTIC ATTRACTORS; SYNCHRONIZATION; COEXISTENCE; FLOWS;
D O I：
10.5890/JAND.2024.06.005
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
As advancements in applied sciences and technology continue, various dissipative nonlinear systems have emerged. However, the conservative systems have received little attention in previous research. The purpose of this paper is to introduce a novel four-dimensional conservative system with hyperchaotic behavior. This system is derived from the Lorenz -like system through the use of a state feedback control strategy. The resulting system features two saddle -focus hyperbolic equilibria. Various dynamical characteristics are examined theoretically and numerically, including its equilibria, Jacobian matrix, Lyapunov exponents, Lyapunov dimension (Kaplan -Yorke dimension), Multistability, and Complete Synchronization. Additionally, numerical simulation using MATLAB 2021 confirms the theoretical results. (c) 2024 L&H Scientific Publishing, LLC. All rights reserved.
引用
收藏
页码：235 / 246
页数：12
相关论文
共 50 条
  • [1] A new hyperjerk dynamical system with hyperchaotic attractor and two saddle-focus rest points exhibiting Hopf bifurcations, its hyperchaos synchronisation and circuit implementation
    Vaidyanathan, Sundarapandian
    Moroz, Irene M.
    Sambas, Aceng
    INTERNATIONAL JOURNAL OF MODELLING IDENTIFICATION AND CONTROL, 2019, 33 (04) : 299 - 310
  • [2] Homoclinic saddle to saddle-focus transitions in 4D systems
    Kalia, Manu
    Kuznetsov, Yuri A.
    Meijer, Hil G. E.
    NONLINEARITY, 2019, 32 (06) : 2024 - 2054
  • [3] Periodic attractors, strange attractors and hyperbolic dynamics near homoclinic orbits to saddle-focus equilibria
    Homburg, AJ
    NONLINEARITY, 2002, 15 (04) : 1029 - 1050
  • [4] Five new 4-D autonomous conservative chaotic systems with various type of non-hyperbolic and lines of equilibria
    Singh, Jay Prakash
    Roy, Binoy Krishna
    CHAOS SOLITONS & FRACTALS, 2018, 114 : 81 - 91
  • [5] Hyperchaos, adaptive control and synchronization of a novel 4-D hyperchaotic system with two quadratic nonlinearities
    Vaidyanathan, Sundarapandian
    ARCHIVES OF CONTROL SCIENCES, 2016, 26 (04): : 471 - 495
  • [6] Hyperchaos from a 4-D manifold piecewise-linear system
    Tsubone, T
    Saito, T
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1998, 45 (09): : 889 - 894
  • [7] A New Chaotic System With Two Stable Node-Foci Equilibria and an Unstable Saddle-Focus Equilibrium: Bifurcation and Multistability Analysis, Circuit Design, Voice Cryptosystem Application, and FPGA Implementation
    Bonny, Talal
    Vaidyanathan, Sundarapandian
    Al Nassan, Wafaa
    Hannachi, Fareh
    Sambas, Aceng
    IEEE ACCESS, 2024, 12 : 94018 - 94034
  • [8] A new 5D fractional-order conservative hyperchaos system
    Tian, Bowen
    Peng, Qiqi
    Leng, Xiangxin
    Du, Baoxiang
    PHYSICA SCRIPTA, 2023, 98 (01)
  • [9] Hyperchaos and horseshoe in a 4D memristive system with a line of equilibria and its implementation
    Li, Qingdu
    Hu, Shiyi
    Tang, Song
    Zeng, Guang
    INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS, 2014, 42 (11) : 1172 - 1188
  • [10] An LMI Based Integral SMC for Tracking Control of a New 4-D Conservative Chaotic System
    Singh, Jay Prakash
    Dey, Rajeeb
    Roy, Binoy Krishna
    SOFT COMPUTING APPLICATIONS, SOFA 2016, VOL 2, 2018, 634 : 354 - 364
12345