Dynamics of Coherent Structures in Discrete and Continuum Nonlinear Systems (25w5346)

The Institute of Mathematics at the University of Granada will host the "Dynamics of Coherent Structures in Discrete and Continuum Nonlinear Systems" workshop at the University of Granada (IMAG) in Spain, from June 8 - 13, 2025.

The area of Nonlinear Dynamics continues to be a very rich field of exploration within Mathematics; it also provides a modeling framework for a wide array of applications such as in Physics, Engineering, Biology, etc. One central theme therein is the existence, stability, dynamics, and interactions of coherent structures in extended nonlinear spatio-temporal systems. These coherent structures, representing spatially localized solutions with their own internal properties, evolution and interaction dynamics, assume a wide array of forms from one-dimensional localized waves, solitons, and kinks, to two-dimensional lumps, spirals, and vortices, to three-dimensional vortex lines, rings, and knots. These solutions are not only extremely interesting in their own right, but also they play a crucial role as building blocks towards understanding more complicated and realistic features in numerous areas of interest, including but not limited to nonlinear optics, atomic physics, materials science and beyond.

The aim of this 5-day workshop is to assemble practitioners interested in this field from a diverse array of perspectives: mathematical scientists analyzing the key properties and underlying structure of the models at hand, computational experts that develop and analyze algorithms for exploring such patterns, mathematical modelers that formulate sets of assumptions leading to reduced, tractable descriptions of the systems and finally physical scientists that perform laboratory experiments to explore their practical use and potential.

The Institute of Mathematics at the University of Granada(IMAG) in Granada, Spain, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, are collaborative Canada-US-Mexico ventures that provide 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 in Banff is supported by Canada’s Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF), and Alberta Technology and Innovation.