The Method of Normal Forms

328 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Hardening/softening behaviour in non-linear oscillations of structural systems using non-linear normal modes (2004, methodology): “The book by Nayfeh [24] sets down normal form theory as a perturbation method amongst others and yields comparison with the multiple-scales method.”
Nonlinear normal modes for damped geometrically nonlinear systems: Application to reduced-order modelling of harmonically forced structures (2006, background): “[2,12,16,32]), and have important consequences for structural systems.”
Design of piezoaeroelastic energy harvesters (2012, background): “Therefore, keeping only the resonance terms in (15) [20], we obtain the complexvalued normal form”
Modeling and analysis of piezoaeroelastic energy harvesters (2012, background): “Therefore, keeping only the resonance terms in (17) [20], we obtain the complexvalued normal form”