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Emergent synchronisation in interconnected systems
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Timoteo Carletti
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Namur Institute for Complex Systems (naXys), University of Namur |
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| On 2023-01-31 at 15:00:00 (Brussels Time) |
Abstract
Order from disorder is a leitmotif in Nature. It emerges in a variety of wonderful self-organised shapes, colours and rhythms, e.g., spots and stripes on the coat or the skin of animals, spatial distribution of vegetation, insect colonies, large complex ecosystems, biological oscillations and ...life itself.
Such phenomena are very often related to the presence of systems composed by an huge number of basic units with “simple” behaviour and interconnected among them, i.e., interacting each other. The non-linear nature and the network of the interactions are the main drivers for the emergence of such order.
In this talk we will focus on the emergence of global synchronisation. Each isolated basic unit is able to oscillate in time and this behaviour persists once the units interact each other; moreover the system is capable to self-organise and let all the units to oscillate at the unison as a whole. For example, think of cells of the myocardium that cooperate to make your heart to pump the blood in your body, or the fireflies flashing at unison.
Starting from some examples, we will describe the role of the non-linear interactions and of the underlying network, the latter being fixed or allowed to evolve in time. We will then conclude by showing some recent results generalising the pairwise interactions encoded by any network and opening thus the way to many-body interactions. Short Bio of the Speaker
After a Masters degree in Physics (University of Florence, June 1995) Timoteo Carletti continued his doctoral studies in Florence (Italy) and in Paris (France) at IMCCE, and finally defended his doctoral thesis in mathematics in February 2000. After several postdoctoral research stays - including Paris XI, IMPA (Rio de Janeiro, Brazil), "Scuola Normale Superiore" Pisa (Italy), University of Padova (Italy) - he was hired as a "senior researcher" in the framework of the European Project PACE FP6 (University of Venice, Italy).
Hence in 2005 he moved to Belgium where he was hired at the University of Namur as a lecturer, then as a professor (September 2008), and finally as a Full Professor (September 2011) in the Department of applied Mathematics. In 2010 he was among the creators of the Namur Center for Complex Systems and up to december 2014 he assumed the leadership of this research center.
He supervised several theses and master theses mainly in mathematics, but also in economics, biology and computer sciences. He actively contributes to the doctoral and postdoctoral training in the field of complex systems in Belgium, through its presidency of the Graduate School FNRS "COMPLEX" in the period January 2011 - December 2017. He presented more than one hundred seminars and he is author of more than one hundred and fifty publications, in fields as varied as: biology, celestial mechanics, chaos detection, complex networks, control of systems, dynamic systems, economics, particle accelerators, social dynamics.
