Connecting steady states of a discrete diffusive energy balance climate model

Abstract

In this communication we consider a discrete version of some simple Budyko-Sellers climate model. Our main goal is to consider the problem of transferring the system (through some sufficiently large time T) from a stationary state to another one. Our study is divided into two parts: firstly we obtain a result on a connected branch of stationary solutions (for instance, as a function of the parameter Q and in the absence of any control; secondly we will use some controllability techniques of nonlinear systems of ODEs to analyze the transferring question by means of suitable controls.