scholarly journals A new hyperchaotic system

2009 ◽  
Vol 58 (7) ◽  
pp. 4457
Author(s):  
Liu Ming-Hua ◽  
Feng Jiu-Chao
Keyword(s):  
Hyperchaotic System ◽  
New Hyperchaotic System

On a new hyperchaotic system

2008 ◽  
Vol 372 (2) ◽  
pp. 124-136 ◽  
Author(s):  
Guoyuan Qi ◽  
Michaël Antonie van Wyk ◽  
Barend Jacobus van Wyk ◽  
Guanrong Chen
Keyword(s):  
Hyperchaotic System ◽  
New Hyperchaotic System

scholarly journals Dynamics of a New Hyperchaotic System with Only One Equilibrium Point

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Xiang Li ◽  
Ranchao Wu
Keyword(s):  
Hopf Bifurcation ◽  
Hyperchaotic System ◽  
Compound Structure ◽  
Normal Form Theory ◽  
Controlled System ◽  
Forming Mechanism ◽  
Form Theory ◽  
The Lorenz System ◽  
The Stability ◽  
New Hyperchaotic System

A new 4D hyperchaotic system is constructed based on the Lorenz system. The compound structure and forming mechanism of the new hyperchaotic attractor are studied via a controlled system with constant controllers. Furthermore, it is found that the Hopf bifurcation occurs in this hyperchaotic system when the bifurcation parameter exceeds a critical value. The direction of the Hopf bifurcation as well as the stability of bifurcating periodic solutions is presented in detail by virtue of the normal form theory. Numerical simulations are given to illustrate and verify the results.

Controlling hyperchaos in the new hyperchaotic system

2009 ◽  
Vol 14 (2) ◽  
pp. 552-559 ◽  
Author(s):  
Fu-quan Dou ◽  
Jian-an Sun ◽  
Wen-shan Duan ◽  
Ke-pu Lü
Keyword(s):  
Hyperchaotic System ◽  
New Hyperchaotic System

A Novel Simple Hyperchaotic System with Two Coexisting Attractors

2019 ◽  
Vol 29 (14) ◽  
pp. 1950203 ◽  
Author(s):  
Jiaopeng Yang ◽  
Zhengrong Liu
Keyword(s):  
Complex Dynamics ◽  
Chaotic Dynamic ◽  
Cross Product ◽  
Hyperchaotic System ◽  
Compound Structure ◽  
Coexisting Attractors ◽  
Dynamical Behaviors ◽  
Periodic Attractors ◽  
New Hyperchaotic System ◽  
New System

This article introduces a new hyperchaotic system of four-dimensional autonomous ordinary differential equations, with only cubic cross-product nonlinearities, which can respectively display two hyperchaotic attractors with only nonhyperbolic equilibria line. Several issues such as basic dynamical behaviors, routes to chaos, bifurcations, periodic windows, and the compound structure of the new hyperchaotic and chaotic system are investigated, either theoretically or numerically. Of particular interest is the fact that the two coexisting attractors of the new hyperchaotic system are symmetrical, and this hyperchaotic system can generate plenty of complex dynamics including two coexisting chaotic or periodic attractors. Moreover, some chaotic features of the attractor are justified numerically. Finally, 0-1 test is used to analyze and describe the complex chaotic dynamic behavior of the new system.

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