• MATHEMATICAL MODELING OF LORENZ EQUATIONS USING HOMOTOPY PERTURBATION METHOD

S. MUTHUKUMAR, C. THANGAPANDI*, S. MAHALAKSHMI, M. VEERAMUNI

Abstract


The Lorenz equation has made qualifying chaos possible which has inspired many mathematicians to research and study chaos [2]. Chaos theory is the branch of mathematics focused on the behavior of dynamical systems that are highly sensitive to initial systems. Chaotic behavior exists in many natural systems such as weather and climate. The deterministic nature of the system does not make behavior predictable. This behavior is known as deterministic chaos or simply. Approximate analytical solution of Lorenz equation is obtained by Homotopy perturbation method (HPM).Furthermore, in this work numerical simulation of the problem is also reported using Scilab/Matlab program. An agreement between analytical and numerical result are noted.


Keywords


Lorenz equations, Chaos, Homotopy perturbation method (HPM), Mathematical modeling, State variables.

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