46 citations · 254 across the 37 of their papers we have counts for
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math.DS2012
Energy growth for a nonlinear oscillator coupled to a monochromatic wave
Dmitry Turaev, Christopher Warner, Sergey Zelik
A system consisting of a chaotic (billiard-like) oscillator coupled to a linear wave equation in the three-dimensional space is considered. It is shown that the chaotic behaviour o…
math.DS2012
Attractors and repellers near generic elliptic points of reversible maps
Sergey Gonchenko, Jeroen Lamb, Isabel Rios +1
We show that resonance zones near an elliptic periodic point of a reversible map must, generically, contain asymptotically stable and asymptotically unstable periodic orbits, along…