Extended Abstracts Summer 2016

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This volume presents extended abstracts from the MURPHYS-HSFS-2016 workshop, focused on the mathematical theory and applications of multiple scale systems and hysteresis, held at the Centre de Recerca Matemàtica in Barcelona from June 13-17, 2016. It includes brief research articles on new findings, preliminary work, open problems, and collaborative outcomes from the workshop. Key topics encompass multiple scale phenomena, singular perturbations, phase transitions, and hysteresis in various fields such as mathematics, physics, economics, engineering, and information systems. The collection features new results in hysteresis theory, singularly perturbed systems, and dynamical systems, along with applications in elasto-plasticity, mechanical structures, damage processes, magnetic materials, photonics, energy storage, hydrology, biology, semiconductor lasers, and economic modeling. With its comprehensive coverage, this resource is valuable for established researchers and for PhD and postdoctoral students eager to explore the latest advancements in these dynamic research areas.