Outstanding Challenges in Nonlinear Dynamics

Nonlinear dynamics has reached considerable breadth and diversification in recent years. Physicists are applying it in fields as diverse as fluid dynamics, climate and weather forecast, neuroscience, socioeconomic systems, and many more. On the one hand we have witnessed amazing progress in many of these fields, as seen, e.g., in the intriguing level of detail with which cardiac dynamics is now studied and modeled. On the other hand, this diversification in applications is somewhat masking the fact that we are presently facing substantial but similar challenges in different fields. An outstanding example is the collective dynamics of and on networks, which plays a role in many disciplines and for which the many body techniques developed for interacting particles are usually of little help, cf. e.g. the spiking dynamics of interacting neurons. This workshop will bring together researchers on nonlinear dynamics working in diverse fields and will focus on common topical challenges that are showing up in various applications. The conference language will be English. The Wilhelm and Else Heraeus-Foundation bears the cost of full-board accommodation for all participants.