Nonlinear Interactions: Analytical, Computational, and Experimental Methods

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Band excitation in scanning probe microscopy: sines of change (2011, methodology): “For example, in contact-mode imaging the cubic non-linearity in the force– distance curve yields Duffing-type equations of motion [54], and the BE data can be fitted directly by this model.”
The band excitation method in scanning probe microscopy for rapid mapping of energy dissipation on the nanoscale (2007, background): “Note that more complex forms of data analysis (using different physical models [21], statistical fits, wavelet signal transforms [22], etc) are possible.”
Two-to-one resonant multi-modal dynamics of horizontal/inclined cables. Part I: Theoretical formulation and model validation (2007, unknown): “The system, involving different interacting planar/nonplanar modes in the response, may, in turn, experience a multiple internal resonance [2, 4].”
Nonlinear interactions in the planar dynamics of cable-stayed beam (2003, background): “This energy exchange also differs from the one occurring in the so-called saturation phenomenon, where the energy flows from high frequencies to low frequencies (Haddow et al., 1984; Nayfeh and Balachandran, 1990; Nayfeh, 2001).”