A general multiscroll Lorenz system family and its realization via digital signal processors.
This paper proposes a general multiscroll Lorenz system family by introducing a novel parameterized nth-order polynomial transformation. Some basic dynamical behaviors of this general multiscroll Lorenz system family are then investigated, including bifurcations, maximum Lyapunov exponents, and parameters regions. Furthermore, the general multiscroll Lorenz attractors are physically verified by using digital signal processors.
Yu
Simin
S
College of Automation, Guangdong University of Technology, Guangzhou 510090, People's Republic of China.
Lü
Jinhu
J
Tang
Wallace K S
WK
Chen
Guanrong
G
D000465:Algorithms; D003198:Computer Simulation; D008433:Mathematics; D015233:Models, Statistical; D008962:Models, Theoretical; D017711:Nonlinear Dynamics; D010825:Physics / Q000379:methods; D012815:Signal Processing, Computer-Assisted; D013598:Systems Theory