SOLUTIONS OF LORENZ MODEL

Abstract

Edward Lorenz, a mathematician and meteorologist, was the one who originally explored the Lorenz system, a system of ordinary differential equations. For specific parameter values and beginning conditions, it is noteworthy for having chaotic solutions. The Lorenz attractor, in particular, is a collection of chaotic Lorenz system solutions. In popular culture, the term ”butterfly effect” refers to the Lorenz attractor’s real-world implications, which state that in a chaotic physical system, without perfect knowledge of the initial conditions (even the minute disturbance of the air caused by a butterfly flapping its wings), we will never be able to predict its future course. This demonstrates how physically deterministic systems can yet be unpre dictable due to their inherent nature.