Nonlinear dynamics of coupled oscillators in 1:2 internal resonance: effects of the non-resonant quadratic terms and recovery of the saturation effect

Author:

Shami Zein AlabidinORCID,Shen Yichang,Giraud-Audine Christophe,Touzé Cyril,Thomas Olivier

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference57 articles.

1. Nayfeh A, Mook D (1979) Nonlinear Oscillations, In: Pure and applied mathematics. A Wiley Series of Texts, Monographs and Tracts, Wiley

2. Thomsen JJ (2003) Vibrations and stability. Advanced theory, analysis and tools, 2nd edn. Springer, Berlin, Heidelberg

3. Strogatz S (2014) Nonlinear dynamics and chaos, with applications to physics, biology, chemistry and engineering, 2nd edn. Westview Press, New-York

4. Nayfeh AH (2000) Nonlinear interactions: analytical, computational, and experimental methods. Wiley

5. Nayfeh SA, Nayfeh AH (1993) Nonlinear intercations between two widely spaced modes: external excitation. Int J Bifurc Chaos 3(2):417–427

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