Abstract: The talk is presenting what could be an Integrative Logistics, as a new integrative and predictive science, in the framework of the CS-DC TIMES flagship. This flagship aims at creating a global e-ecosystem to give the same equality of chance for any territory to become a ??smart?? territory by using a global market for open responsible innovations linked to the global scientific and technological revolution. This global e-ecosystem is using the 2nd?internet revolution for sharing in a trustable way the big data including the ones tracing the current logistic activities between territories at all levels. The main challenge of Integrative Logistics is, through dynamical deep learning, to bring multilevel logistic models toward a "smart" multilevel logistics. ?Such goal has to involve?all of these ? scientists of any discipline or experts from territorial governments, NGOs, firms, start-ups as well as ordinary citizens ? wanting to jointly increase social wellbeing, improve the relationship with Nature and to change the relations between science, engineering, politics and ethics.

Abstract: Oscillatory networks have been one of the most used paradigms in order to mimic repetitive dynamical processes taking place in complex systems. The leading feature of oscillatory networks is the emergence of synchronized oscillations among their elements, i.e. it is observed that quite a lot of oscillators tune their rhythms so that numerous groups of them exhibit highly correlated behavior. From a mathematical point of view, the emergence of such coordinated behavior corresponds to the existence of global periodic oscillations, that can arise, for example, through Hopf bifurcations. Understanding how the interactions among the oscillators influence the appearance of properties such as global oscillations may be crucial in order to characterize complex dynamics in oscillatory networks. Moreover, it is well known in literature that in case of multistability in a single element of the network, new equilibrium configurations arise due to the coupling. In this work, we consider directed acyclic networks of bistable units and we investigate the coupling effects on the Hopf bifurcations occurrence and on the number of equilibria of the entire network. (joint work with N. Corson and N. Verdi?re)

Abstract: Always more data about cities are available which allows to build and to test theories and models. In particular, many urban economics models were developed to describe how cities are organized and I will discuss here their predictions about urban mobility. I will illustrate on various examples such as the total commuting length in cities, or the variation of the commuting length with income, how empirical data force us to reconsider these models in order to reach conclusions that are in agreement with empirical observations.

Abstract: We consider a graph wave equation with a cubic defocusing non-linearity on a general network. This ?well-posed model is close to the $\phi^4$ model in condensed matter physics. Using the normal modes of the graph Laplacian as a basis, we derive amplitude equations and define resonance conditions that relate the graph structure to the dynamics.

Abstract: Cluster synchronization is an interesting issue in complex dynamical networks?with community structure.?We study this phenomenon, in which?individuals in the same cluster are?identical,?while those in different clusters are not. Some sufficient conditions?that ensure?cluster synchronization of complex networks are provided.?The increase?of coupling strength inside clusters is very useful to achieve cluster?synchronization, however, the coupling among different clusters?is an?obstacle.?