Numerical Methods for Pattern and Bifurcation Analysis in Complex Networks KU Leuven
The thesis focuses on analyzing the phenomenon of pattern formation in (delay) coupled nonlinear systems. The starting points are works of Turing on morphogenesis and pattern formation, and Smale on determining conditions under which initially globally asymptotically stable systems being interconnected, exhibit emergent oscillatory behavior, possibly in a structured way (e.g. synchronous and partial synchronous oscillatory behavior). One of ...