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Alexander Chernyavsky
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Long-time stability of breathers in Hamiltonian-symmetric lattices
A Chernyavsky, DE Pelinovsky
Journal of Physics A: Mathematical and Theoretical 49 (47), 475201, 2016
162016
Breathers in Hamiltonian PT-symmetric chains of coupled pendula under a resonant periodic force
A Chernyavsky, D Pelinovsky
Symmetry 8 (7), 59, 2016
162016
Krein signature for instability of PT-symmetric states
A Chernyavsky, DE Pelinovsky
Physica D: Nonlinear Phenomena 371, 48-59, 2018
62018
Convex relaxations of integral variational problems: pointwise dual relaxation and sum-of-squares optimization
A Chernyavsky, JJ Bramburger, G Fantuzzi, D Goluskin
arXiv preprint arXiv:2110.03079, 2021
32021
Stable solitons in a nearly PT-symmetric ferromagnet with spin-transfer torque
IV Barashenkov, A Chernyavsky
Physica D: Nonlinear Phenomena 409, 132481, 2020
22020
Krein Signature in Hamiltonian and -Symmetric Systems
A Chernyavsky, PG Kevrekidis, DE Pelinovsky
Parity-time Symmetry and Its Applications, 465-491, 2018
22018
Hamiltonian Methods in PT-symmetric Systems
A Chernyavsky
2018
Krein Signature in Hamiltonian and -symmetric Systems
A Chernyavsky, PG Kevrekidis, DE Pelinovsky
arXiv preprint arXiv:1711.02191, 2017
2017
Krein signature for instability of -symmetric states
A Chernyavsky, DE Pelinovsky
arXiv preprint arXiv:1706.05756, 2017
2017
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