Multistage spectral relaxation method for solving the hyperchaotic complex systems.
We present a pseudospectral method application for solving the hyperchaotic complex systems. The proposed method, called the multistage spectral relaxation method (MSRM) is based on a technique of extending Gauss-Seidel type relaxation ideas to systems of nonlinear differential equations and using the Chebyshev pseudospectral methods to solve the resulting system on a sequence of multiple intervals. In this new application, the MSRM is used to solve famous hyperchaotic complex systems such as hyperchaotic complex Lorenz system and the complex permanent magnet synchronous motor. We compare this approach to the Runge-Kutta based ode45 solver to show that the MSRM gives accurate results.
Department of Mathematics, Islamic Azad University, Mashhad Branch, Mashhad, Iran.
Hassan
H
Saberi Nik
Departamento de Matemática, Universidade da Beira Interior, 6201-001 Covilhã, Portugal.
Paulo
P
Rebelo
D000465:Algorithms; D003198:Computer Simulation; D008962:Models, Theoretical; D017711:Nonlinear Dynamics