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math-ph2016★ 12 cited
Long-time stability of breathers in Hamiltonian -symmetric lattices
Alexander Chernyavsky, Dmitry E. Pelinovsky
We consider the Hamiltonian version of a -symmetric lattice that describes dynamics of coupled pendula under a resonant periodic force. Using the asymptotic limit of a wea…
math-ph2016
Breathers in Hamiltonian -symmetric chains of coupled pendula under a resonant periodic force
Alexander Chernyavsky, Dmitry E. Pelinovsky
We derive a Hamiltonian version of the -symmetric discrete nonlinear Schrödinger equation that describes synchronized dynamics of coupled pendula driven by a periodic mo…