6 research outputs found
A Modal Series Representation of Genesio Chaotic System
In this paper an analytic approach is devised to represent, and study the
behavior of, nonlinear dynamic chaotic Genesio system using general nonlinear
modal representation. In this approach, the original nonlinear ordinary
differential equations (ODEs) of model transforms to a sequence of linear time-
invariant ODEs. By solving the proposed linear ODEs sequence, the exact
solution of the original nonlinear problem is determined in terms of uniformly
convergent series. Also an efficient algorithm with low computational
complexity and high accuracy is presented to find the approximate solution.
Simulation results indicate the effectiveness of the proposed method.Comment: International Journal of Instrumentation and Control Systems (IJICS)
Vol.2, No.3, July 201
Comparison of Some Vector Acceleration Techniques
Computing and Information Science