16 citations · 106 across the 21 of their papers we have counts for
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math.DS2011★ 6 cited
Frequency locking by external forcing in systems with rotational symmetry
Lutz Recke, Anatoly Samoilenko, Viktor Tkachenko +1
We study locking of the modulation frequency of a relative periodic orbit in a general -equivariant system of ordinary differential equations under an external forcing of modu…
math.AP2011★ 12 cited
Periodic Solutions to Dissipative Hyperbolic Systems. I: Fredholm Solvability of Linear Problems
I. Kmit, L. Recke
This paper concerns linear first-order hyperbolic systems in one space dimension of the type $$ \partial_tu_j + a_j(x,t)\partial_xu_j + \sum\limits_{k=1}^nb_{jk}(x,t)u_k = f_j(x,t)…