Theoretical and experimental studies of global dynamics for a class of bistable nonlinear impact oscillators with bilateral rigid constraints

On the Stability of the Center for Time Periodic Perturbations

V. K. Mel’nikov · Medical Entomology and Zoology · 1963 · 976 citations

Natural Sciences, Mathematics, Physics +12

Non-periodic motion caused by grazing incidence in an impact oscillator

Arne Nordmark · Journal of Sound and Vibration · 1991 · 764 citations · Full text

Engineering, Physics, Applied Mechanics +12

Archetypal oscillator for smooth and discontinuous dynamics

Qingjie Cao, Marian Wiercigroch, Ekaterina Pavlovskaia et al. · Physical Review E · 2006 · 283 citations

Natural Sciences, Mathematics, Physics +17

Piecewise linear approach to an archetypal oscillator for smooth and discontinuous dynamics

Qingjie Cao, Marian Wiercigroch, Ekaterina Pavlovskaia et al. · Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences · 2007 · 154 citations

Engineering, Mechanical Engineering, Physics +17

Grazing-induced bifurcations in impact oscillators with elastic and rigid constraints

Haibo Jiang, Antonio S.E. Chong, Yoshisuke Ueda et al. · International Journal of Mechanical Sciences · 2017 · 110 citations

Engineering, Mechanical Engineering, Computational Mechanics +15