25 citations · 86 across the 10 of their papers we have counts for
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nlin.SI2016★ 7 cited
Nonlinear dynamics of hidden modes in a system with internal symmetry
Nathan Perchikov, O. V. Gendelman
We consider a discrete dynamical system with internal degrees of freedom (DOF). Due to the symmetry between the internal DOFs, certain internal modes cannot be excited by external…
nlin.SI2014★ 19 cited
Dynamics and stability of a discrete breather in a harmonically excited chain with vibro-impact on-site potential
Nathan Perchikov, O. V. Gendelman
We investigate the existence and stability of discrete breathers in a chain of masses connected by linear springs and subjected to vibro-impact on-site potentials. The latter are c…