Applications of the singular value decomposition in dynamics

摘要: Abstract The singular value decomposition of a general rectangular matrix can serve as means for determining its numerical rank and solving underdetermined overdetermined linear systems in least-squares sense. This is used all kinds applications e.g. control theory statistics. article presents some this readily available tool solutions which arise the study dynamical mechanical systems. First, exposed briefly. Then, it shown how periodic Hamiltonian, conservative be determined direct way. Finally, path following method continuation stationary bifurcation points described. usefulness these procedures examples rotor with non-linear support stiffness system consists an array ten non-linearly coupled oscillators.