Attractor of a Shallow Water Equations Model

S. Sornsanam, D. Sukawat

Abstract

In this research, attractors in a shallow water equations model, STSWM, are investigated. The shallow water equations model is a simple model that describes fluid flow and is widely used in many fields including atmospheric and oceanographic studies. The shallow water equations model can sometimes behave in a chaotic manner. The time series, the power spectrum, Lyapunov exponent and reconstruction of the attractor are used to distinguish between chaotic and nonchaotic signal to determine the main frequencies of periodic oscillators.