Rössler Bands in Economic and Biological Systems

A Rossler band is presumably the simplest of all chaotic attractors. It can develop in systems with only three state variables if two of these produce an outward spiralling trajectory, and the third folds this trajectory back towards its center when the amplitude of the expanding oscillation becomes sufficiently large. In the present paper we show how Rossler bands can develop through slight modifications of well-established economic and biological models.