MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV ( that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

Global Analysis of Synchronization in Coupled Maps

Jürgen Jost and Kiran M. Kolwankar


We introduce a new method for determining the global stability of synchronization in systems of coupled identical maps. The method is based on the study of invariant measures. We apply it here to the simplest non-trivial example, namely two symmetrically coupled tent maps. We thus identify the precise value of the coupling parameter where synchronizing and desynchronizing transitions take place.

05.45.Ra, 05.45.Xt
synchronization, coupled maps, invariant measures

Related publications

2006 Repository Open Access
Jürgen Jost and Kiran Murlidhar Kolwankar

Global analysis of synchronization in coupled maps

In: International journal of bifurcation and chaos in applied sciences and engineering, 16 (2006) 12, pp. 3695-3703