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Computation and Bifurcation Analysis of Periodic Solutions of Large-Scale Systems

Computation and Bifurcation Analysis of Periodic Solutions of Large-Scale Systems

This paper deals with the efficient computation and bifurcation analysis of periodic solutions of large-scale dynamical systems, such as systems arising from the spatial discretization of partial differential equations. The Newton-Picard method is an efficient single-shooting based technique based on a Newton-like linearization which exploits the low-dimensional dynamics observed in …