Abstract: Many oscillatory systems of engineering and scientific interest (e.g., mechanical metastructures) exhibit nonproportional damping, wherein the mass-normalized damping and stiffness matrices do not commute. A new modal ...

Abstract: This paper presents a detailed review of the emerging topic of higher-order dynamics and their intrinsic variational structure, which has enabled—for the very first time in history—the general application of Hamiltonian ...

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Abstract: Abstract. Symplectic integrators offer vastly superior performance over traditional numerical techniques for conservative dynamical systems, but their application to dissipative systems is inherently difficult due to ...