International Workshop on
State-Dependent Delay Equations

October 12 - 16, 2009

Scientific coordinators:
Jayme De Luca (Universidade Federal de São Carlos, Brazil)
Antony R. Humphries (MacGill University, Montreal, Canada)
John Mallet-Paret (Brown University, Providence, USA)

Organisation:
Katrin Lantsch (Max Planck Institute for the Physics of Complex Systems Dresden, Germany)

Delay differential equations (DDEs) arise in many physical and biological applications, but often demand the use of non-constant or state-dependent delays, and mixed-type funtional differential equations with both advanced and retarded arguments also arise (for example they describe travelling waves in nonlinear lattices). The equation of motion of a charged particle in the action-at-a-distance electrodynamics can also be formulated as a neutral mixed-type implicitly state-dependent equation. Such problems fall outside the scope of the rapidly maturing theory of fixed delay equations treated as dynamical systems with semi-flows on an infinite-dimensional functional space, and give rise to challenging problems in both the mathematical analysis of the equations and the numerical computation and analysis of solutions. Although progress has been made in recent years on some model state dependent problems, in particular monotone problems with positive or negative feedback, the behavior of more general and realistic systems remains poorly-understood, and there are many open problems of current interest. This workshop will survey recent advances and ongoing research across the field of DDEs, with particular emphasis on non-constant and state dependent delay equations, advance-delay differential equations, and problems with a differential-algebraic structure including the neutral mixed-type equations arising form action-at-a-distance electrodynamics. It will bring together researchers working in applications, theory, and numerical analysis of state-dependent delay equations, to exchange results and discuss future directions.

List of invited speakers:
David Barton (Bristol, UK), Gernot Bauer (Steinfurt, Germany), Alfredo Bellen (Trieste, Italy), Dimitri Breda (Udine, Italy), Shui-Nee Chow (Atlanta, USA), Dirk Deckert (München, Germany), Odo Diekmann (Utrecht, The Netherlands), Detlef Dürr (München, Germany), Nicola Guglielmi* (L'Aquila, Italy), Karl-Peter Hadeler* (Tübingen, Germany), Ferenc Hartung (Veszprem, Hungary), Uwe an der Heiden (Witten-Annen, Germany), Tamas Insperger (Budapest, Hungary), Bernd Krauskopf (Bristol, UK), Tibor Krisztin (Szeged, Hungary), Jean-Philippe Lessard (Piscataway, USA), Michael Mackey (Montreal, Canada), Stefano Maset (Trieste, Italy), Roger Nussbaum (Piscataway, USA), Antonio Politi (Sesto Fiorentino, Italy), Claude Ragazzo (Sao Paulo, Brazil), C.K. Raju (Ghaziabad, India), Bob Rink (Amsterdam, The Netherlands), Savio Rodrigues (Sao Carlos, Brazil), Gergely Rost (Szeged, Hungary), Wolfgang Ruess (Essen, Germany), Sjoerd Verduyn Lunel (Leiden, The Netherlands), Hans-Otto Walther (Gießen, Germany), Jianhong Wu (Toronto, Canada)
* to be confirmed

Application for participation and poster contributions are welcome and should be made by using the application form on the event's web page. Some abstracts will be selected for short talks. The number of attendees is limited. The registration fee for the workshop is 100 Euro and should be paid by all participants. Costs for accommodation and meals will be covered by the Max Planck Institute for the Physics of Complex Systems. Limited funding is available to partially cover travel expenses. Please note that childcare is available upon request.

Deadline for registration is July 31, 2009.

For further information please e-mail to: sdde09@pks.mpg.de