TY - JOUR
T1 - Solving hyperchaotic systems using the spectral relaxation method
AU - Motsa, S. S.
AU - Dlamini, P. G.
AU - Khumalo, M.
PY - 2012
Y1 - 2012
N2 - A new multistage numerical method based on blending a Gauss-Siedel relaxation method and Chebyshev pseudospectral method, for solving complex dynamical systems exhibiting hyperchaotic behavior, is presented. The proposed method, called the multistage spectral relaxation method (MSRM), is applied for the numerical solution of three hyperchaotic systems, namely, the Chua, Chen, and Rabinovich-Fabrikant systems. To demonstrate the performance of the method, results are presented in tables and diagrams and compared to results obtained using a Runge-Kutta-(4,5)-based MATLAB solver, ode45, and other previously published results.
AB - A new multistage numerical method based on blending a Gauss-Siedel relaxation method and Chebyshev pseudospectral method, for solving complex dynamical systems exhibiting hyperchaotic behavior, is presented. The proposed method, called the multistage spectral relaxation method (MSRM), is applied for the numerical solution of three hyperchaotic systems, namely, the Chua, Chen, and Rabinovich-Fabrikant systems. To demonstrate the performance of the method, results are presented in tables and diagrams and compared to results obtained using a Runge-Kutta-(4,5)-based MATLAB solver, ode45, and other previously published results.
UR - http://www.scopus.com/inward/record.url?scp=84872783987&partnerID=8YFLogxK
U2 - 10.1155/2012/203461
DO - 10.1155/2012/203461
M3 - Article
AN - SCOPUS:84872783987
SN - 1085-3375
VL - 2012
JO - Abstract and Applied Analysis
JF - Abstract and Applied Analysis
M1 - 203461
ER -