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math-ph2017★ 19 cited
Exact Model Reduction for Damped-Forced Nonlinear Beams: An Infinite-Dimensional Analysis
Florian Kogelbauer, George Haller
We use invariant manifold results on Banach spaces to conclude the existence of spectral submanifolds (SSMs) in a class of nonlinear, externally forced beam oscillations. SSMs are…
math-ph2014
Asymptotic dynamics of inertial particles with memory
Gabriel Provencher Langlois, Mohammad Farazmand, George Haller
Recent experimental and numerical observations have shown the significance of the Basset--Boussinesq memory term on the dynamics of small spherical rigid particles (or inertial par…