A Simple Numerical Simulation Method for Lorenz System Families

Cheng Li Zhang; Yun Zeng

doi:10.4028/www.scientific.net/AMM.444-445.786

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 444-445A Simple Numerical Simulation Method for Lorenz...

A Simple Numerical Simulation Method for Lorenz System Families

Abstract:

Lorenz system families contain Lorenz system, Chen system and Lu system, their accurate analytical solutions are not yet obtained now. The segmenting recursion method was put forward in this paper, the equations of Lorenz system families were reasonably linearized within small segment, the recursion formulas were obtained by solving the approximate analytical solutions within small segment, and all numerical solutions were got by the recursion formulas. The chaotic motion of Lorenz system families were numerically simulated by means of the segmenting recursion method, the simulation results were compared with Runge-Kutta method. The comparative results show that the segmenting recursion method is very effective to numerically simulate Lorenz system families, not only method is simple, programming is easy, but result is accurate. this method is a universal new method to numerically simulate similar system.

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Periodical:

Applied Mechanics and Materials (Volumes 444-445)

Pages:

786-790

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.444-445.786

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Cite this paper

Online since:

October 2013

Authors:

Cheng Li Zhang, Yun Zeng

Keywords:

Chen System, Lorenz System, Lü System, Recursion Method, Segmenting Method

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