94 citations · 127 across the 5 of their papers we have counts for
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math.DS2016
Exact Model Reduction by a Slow-Fast Decomposition of Nonlinear Mechanical Systems
George Haller, Sten Ponsioen
We derive conditions under which a general nonlinear mechanical system can be exactly reduced to a lower-dimensional model that involves only the most flexible degrees of freedom.…
math.DS2016
Nonlinear normal modes and spectral submanifolds: Existence, uniqueness and use in model reduction
George Haller, Sten Ponsioen
We propose a unified approach to nonlinear modal analysis in dissipative oscillatory systems. This approach eliminates conflicting definitions, covers both autonomous and time-depe…