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Numerical Methods for Approximating Qualitative Structures in Dynamical Systems

Andrew Steyer, Sandia National Laboratories
 
Dynamical systems arise in a wide range of scientific and engineering contexts including solid and fluid mechanics, electrical circuits, and climate and weather modeling. The behavior and evolution of a dynamical system is typically determined by its qualitative properties and structures such as stability spectra, invariant manifolds, periodic and connecting orbits, bifurcations, and sensitivities and uncertainties. Numerical methods for computing such qualitative properties and structures are therefore important in modeling and simulation. This mini-symposium features talks on the analysis and development of methods and algorithms for accurately and efficiently computing qualitative properties and structures in complex dynamical systems.