Life Expectancy Calculations of Transient Chaotic Behaviour in the Lorenz Model

Abstract

In engineering practice, chaotic oscillations are often observed which disappear suddenly. This phenomenon is often referred to as transient chaos. The life expectancy of these oscillations varies stochastically. In this work, a method is presented for the simple estimation of the expected length of the chaotic behaviour. As an example, the Lorenz system is considered at some specific parameter values.