100 citations · 145 across the 12 of their papers we have counts for
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math.CA2009★ 5 cited
Bifurcation of asymptotically stable periodic solutions in nearly impact oscillators
O. Makarenkov, F. Verhulst
We use an averaging approach to prove bifurcation of asymptotically stable periodic solutions in a bi-linear oscillator whose one spring has nearly infinite stiffness. This leads t…
math-ph2009★ 100 cited
Paradoxes of dissipation-induced destabilization or who opened Whitney's umbrella?
Oleg N. Kirillov, Ferdinand Verhulst
The paradox of destabilization of a conservative or non-conservative system by small dissipation, or Ziegler's paradox (1952), has stimulated an ever growing interest in the sensit…