Ascari, Aldo (Pol. di Milano), BITTANTI, SERGIO (Pol. di Milano), Canevese, Silvia Maria (Pol. di Milano)

On the Dynamics of the Square Root Nonlinearity

Scheduled for presentation during the Regular Session "Nonlinear Control II" (ThP05), Thursday, July 27, 2006, 15:20−15:45, Room F

17th International Symposium on Mathematical Theory of Networks and Systems, July 24-28, 2006, Kyoto, Japan

This information is tentative and subject to change. Compiled on May 19, 2024

Abstract

In this paper we consider a simple nonlinear discrete time system described by the "square root equation" x²(k+1)=x(k)+θ, where parameter θ is a complex number. We study the behaviour of the trajectories depending upon parameter θ. It turns out that not only limit cycles of various periods can arise, but also strange trajectories such as "streamers" or "confetti".