5 citations · 7 across the 8 of their papers we have counts for
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math-ph2009★ 5 cited
Autoresonance in a Dissipative System
Sergei Glebov, Oleg Kiselev, Nikolai Tarkhanov
We study the autoresonant solution of Duffing's equation in the presence of dissipation. This solution is proved to be an attracting set. We evaluate the maximal amplitude of the a…
math-ph2009
Autoresonant germ in dissipative system
Oleg Kiselev, Sergei Glebov
We study an initial stage of autoresonant growth of a solution in a dissipative system. We construct an asymptotic formula of an autoresonant germ that is an attractor for autoreso…