Analysis and design of nonlinear resonances via singularity theory

MATCONT

Annick Dhooge, W. Govaerts, Yuri A. Kuznetsov · ACM Transactions on Mathematical Software · 2003 · 1.5K citations

Natural Sciences, Mathematics, Physics +17

Nonlinear normal modes, Part II: Toward a practical computation using numerical continuation techniques

Marc Peeters, Régis Viguié, Guillaume Sérandour et al. · Mechanical Systems and Signal Processing · 2008 · 525 citations · Full text

Natural Sciences, Computational Engineering, Physics +14

A theory for imperfect bifurcation via singularity theory

Martin Golubitsky, David J. Schaeffer · Communications on Pure and Applied Mathematics · 1979 · 362 citations

Natural Sciences, Mathematics, Physics +12

The harmonic balance method for bifurcation analysis of large-scale nonlinear mechanical systems

T. Detroux, Ludovic Renson, Luc Masset et al. · Computer Methods in Applied Mechanics and Engineering · 2015 · 305 citations · Full text

Natural Sciences, Mechanical Engineering, Complex Systems +14

Vibration absorption in systems with a nonlinear energy sink: Nonlinear damping

Yuli Starosvetsky, Oleg Gendelman · Journal of Sound and Vibration · 2009 · 215 citations

Engineering, Mechanical Engineering, Physics +16