Topics in Multiple Time Scale Dynamics (22w5057)

The Banff International Research Station will host the "Topics in Multiple Time Scale Dynamics" workshop in Banff from November 27 to December 2, 2022.

Dynamical Systems comprises the mathematical theory of time-dependent phenomena, which are typically modelled by ordinary and/or partial differential equations. In these models, several scales may appear. For instance, certain regulatory processes in the human body may be linked to the facts that a heartbeat takes approximately 0.6 seconds, while a circadian rhythm lasts 86400 seconds (24 hours). Another example occurs in social interactions where humans “tweet” in a time scale of seconds to minutes; chat, have conversations, meet, and take certain decisions in periods of hours to days; while they go to the polls in a time scale of years.

Challenges arise when the objects on the different scales cannot be treated isolatedly and emergent behaviour is displayed, which is only observable in the coupled model. This means that the analysis of the dynamics on each scale does not lead to a reliable description of the full system. To address such challenges, there is a wide range of active mathematical research developing methods which capture the intricacies of multiscale interactions. This workshop will gather leading experts dealing with multiple time scale problems from both theoretical and applied perspectives. The ultimate goal is to bring together recent theoretical and applied developments, to discuss new and emerging problems and ideas, and to identify promising research directions for the future of multiscale dynamical systems.

The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) is a collaborative Canada-US-Mexico venture that provides an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station is located at The Banff Centre in Alberta and is supported by Canada's Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnología (CONACYT).