Delay Differential Equations in Applications: Common Themes and Methods

 

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Workshop information

Date: July 14-16, 2011

University of British Columbia, Vancouver , Canada

Workshop Information:

When delay effects are included in mathematical models one obtains differential equations with constant, time varying, distributed and/or state-dependent delays. Since related equations arise in a multitude of disciplines there is a need for good communication between these disciplines to avoid repetition of effort on similar problems and to ensure advances made in one application area propagate in a timely fashion to other fields. Therefore this workshop aims to bring together leading international experts from key application fields and from the theory and numerical analysis of delay differential equations, with the goal of exploring common themes that arise when the effects of delay need to be modelled and analysed.

Featured application areas

  • laser physics
  • electronic engineering
  • communication systems
  • mechanical testing environments
  • traffic flows
  • control theory
  • population dynamics
  • dynamics of neuronal networks
  • networks with delays
  • disease dynamics

Common themes and methods:

  • systems with spatial extent and delay
  • effects of delay distribution
  • theory of state-dependent delays
  • stable integration methods
  • continuation and bifurcation methods

 

 
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