Joint Colloquium Distinguished Lecture Series

Synchronization in dynamical networks: basics, some results and applications

photo of Martin Hasler Wednesday, November 8th
HP Auditorium, Soda Hall

Martin Hasler
Professor, Ecole Polytechnique Fédérale de Lausanne


Synchronization is the most prominent form of collective motion in coupled dynamical systems. It is a very old subject in science, but it has regained from time to time new interest. This happened about 15 years ago, when it was realized that systems with chaotic behavior could synchronize. It is happening again with the current interest in large complex networks. The talk will first explain the two parallel notions of synchronization: phase synchronization and state synchronization. Then the phenomenon of synchronization will be illustrated on a few examples. In networks, the presence of synchronization depends on the individual dynamical systems, the strength of interaction and the structure of the network. We present a few mathematical results that make this more precise. Then, various applications in communications and signal processing are briefly presented. Finally, the possible significance of synchronization in neuroscience and physiology in general are mentioned, leading to less stringent notions of synchronization and to the corresponding indicators.


Martin Hasler is the author and coauthor of about 120 research papers and five books, and was awarded Best Paper of the International Journal on Circuit Theory and Application in 1986 and 1996.

He was Editor of the IEEE Transactions on Circuits and Systems, Part I: Fundamental Theory and Applications from 1993 till 1995, and is currently a member of the Editorial Board of the International Journal of Circuit Theory and Applications, and the International Journal on Bifurcations and Chaos.

He is a Fellow of the IEEE. He was the chairman of the Technical Committee on Nonlinear Circuits and Systems IEEE CAS Society from 1990 to 1993. He was the Chairman of ISCAS 2000, Geneva, Switzerland. He was a member of the Board of Governors of the IEEE CAS Society and currently he is Vice-President for Technical Activities of this society.

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