Data science already exerts considerable influence over our everyday lives. As we move into the age of autonomous vehicles, smart cities, personalized medicine, and artificial intelligence, both data-driven algorithms and dynamical feedback loops will permeate every aspect of our lives. There is therefore a pressing need for a synthesis of data science and dynamical systems, including a clear-eyed assessment of both positive impacts and limitations. The research performed in iDS2 will lay the foundations for this synthesis. The project will integrate education activities through workshops, summer schools, seminars, and curriculum development.