Dynamic analysis and control of a new hyperchaotic finance system

被引:157
作者
Yu, Haojie [1 ]
Cai, Guoliang [1 ]
Li, Yuxiu [1 ]
机构
[1] Jiangsu Univ, Nonlinear Sci Res Ctr, Zhenjiang, Jiangsu, Peoples R China
关键词
Hyperchaos; Lyapunov exponent; Bifurcation; Speed feedback control; Linear feedback control; ADAPTIVE-CONTROL; SYNCHRONIZATION; BIFURCATION; SET;
D O I
10.1007/s11071-011-0137-9
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
In this paper, a new hyperchaotic finance system which is constructed based on a chaotic finance system by adding an additional state variable is presented. The basic dynamical behaviors of this hyperchaotic finance system are investigated, such as the equilibrium, stability, hyperchaotic attractor, Lyapunov exponents, and bifurcation analysis. Furthermore, effective speed feedback controllers and linear feedback controllers are designed for stabilizing hyperchaos to unstable equilibrium points. Numerical simulations are given to illustrate and verify the results.
引用
收藏
页码:2171 / 2182
页数:12
相关论文
共 50 条
[31]   Dynamic Analysis and Synchronization for a System with Hyperchaotic Behavior [J].
Daum, Hilson H. ;
Rocha, Rodrigo T. ;
Balthazar, Jose M. ;
Tusset, Angelo M. .
BRAZILIAN JOURNAL OF PHYSICS, 2021, 51 (05) :1333-1345
[32]   Dynamic Analysis and Synchronization for a System with Hyperchaotic Behavior [J].
Hilson H. Daũm ;
Rodrigo T. Rocha ;
Jose M. Balthazar ;
Angelo M. Tusset .
Brazilian Journal of Physics, 2021, 51 :1333-1345
[33]   A NEW HYPERCHAOTIC SYSTEM AND ITS CIRCUIT IMPLEMENTATION [J].
Liu, Minghua ;
Feng, Jiuchao ;
Tse, Chi K. .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2010, 20 (04) :1201-1208
[34]   Analysis and implementation of a new hyperchaotic system [J].
Wang Guang-Yi ;
Liu Jing-Biao ;
Zheng Xin .
CHINESE PHYSICS, 2007, 16 (08) :2278-2284
[35]   Design and FPGA Implementation of a new hyperchaotic system [J].
Wang Guang-Yi ;
Bao Xu-Lei ;
Wang Zhong-Lin .
CHINESE PHYSICS B, 2008, 17 (10) :3596-3602
[36]   Design and FPGA Implementation of a new hyperchaotic system [J].
王光义 ;
包旭雷 ;
王忠林 .
Chinese Physics B, 2008, 17 (10) :3596-3602
[37]   A Novel Four-Dimensional Hyperchaotic System: Design, Dynamic Analysis, Synchronization, and Image Encryption [J].
Ozpolat, Erman ;
Celik, Vedat ;
Gulten, Arif .
IEEE ACCESS, 2024, 12 :126063-126073
[38]   Underactuated Synchronization Scheme of a Hyperchaotic Finance System [J].
Gularte, Kevin H. M. ;
Gomez, Juan C. G. ;
Vargas, Jose A. R. ;
dos Santos, Rogerio R. .
2021 14TH IEEE INTERNATIONAL CONFERENCE ON INDUSTRY APPLICATIONS (INDUSCON), 2021, :1335-1339
[39]   Analysis, adaptive control and circuit simulation of a novel nonlinear finance system [J].
Tacha, O. I. ;
Volos, Ch. K. ;
Kyprianidis, I. M. ;
Stouboulos, I. N. ;
Vaidyanathan, S. ;
Pham, V. -T. .
APPLIED MATHEMATICS AND COMPUTATION, 2016, 276 :200-217
[40]   Analysis, adaptive control and circuit simulation of a novel finance system with dissaving [J].
Tacha, Ourania I. ;
Volos, Christos K. ;
Stouboulos, Ioannis N. ;
Kyprianidis, Ioannis M. .
ARCHIVES OF CONTROL SCIENCES, 2016, 26 (01) :95-115