Numerical Continuation Methods for Dynamical Systems

By Bernd Krauskopf, Jorge Galán Vioque, Hinke M. Osinga. 2007

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The effect of serration on mechanics and stability of milling cutters (2010, background): “where B0 is the finite dimensional approximation of the infinitesimal operator generated by (17) as discussed in [23].”
A high-order, purely frequency based harmonic balance formulation for continuation of periodic solutions: The case of non-polynomial nonlinearities (2008, methodology): “…a new one with a quadratic polynomial nonlinearity is frequently used when considering the so-called ANM continuation method, which consists in computing power series expansion of solution branches, see ([21,22,23,24]) for the basic algorithms and ([25,26,27]) for some applications in mechanics.”