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John Guckenheimer - Computing periodic orbits of vector fields
JOHN GUCKENHEIMER, Cornell University, Ithaca, New York, New York, USA |
Computing periodic orbits of vector fields |
Periodic orbits are fundamental structures of flows. New methods for computing periodic orbits and their bifurcations with high accuracy are being developed with the use of automatic differentiation. This lecture will present these methods, make comparisons with other methods and discuss outstanding problems. Case studies include stiff systems with multiple time scales and the computation of canards.