The Duffing Equation: Nonlinear Oscillators and their Behaviour

2011

667 citations recorded by the source corpus.

Subfields: Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/eef07420a90618a24417faafc129cd4e9210229e

Citations in the corpus

• Mathieu's Equation and Its Generalizations: Overview of Stability Charts and Their Features (2018, neutral): “This can be referred to as the Mathieu-Du¢ ng equation as it contains a cubic nonlinear term, which is associated with the Du¢ ng equation [29].”
• The tuned bistable nonlinear energy sink (2017, neutral): “If nonlinear terms are not neglected, as exhaustively explained in [25,26], the in-well periodic oscillations undergo a softening effect.”
• A review of the recent research on vibration energy harvesting via bistable systems (2013, neutral): “stems from the study of conditions suitable for homoclinic bifurcations which characterize the transition of a bistable system’s dynamics into the chaotic regime [15, 39, 40].”
• Observation of phononic helical edge states in a mechanical topological insulator (2015, neutral): “Our findings indicate the robustness of our proposal against interactions, in particular against cubic (Duffing) nonlinearities (29) inherent to pendula.”