Long-time stability of breathers in Hamiltonian-symmetric lattices A Chernyavsky, DE Pelinovsky
Journal of Physics A: Mathematical and Theoretical 49 (47), 475201, 2016
18 2016 Breathers in Hamiltonian PT-symmetric chains of coupled pendula under a resonant periodic force A Chernyavsky, D Pelinovsky
Symmetry 8 (7), 59, 2016
18 2016 Convex relaxations of integral variational problems: pointwise dual relaxation and sum-of-squares optimization A Chernyavsky, JJ Bramburger, G Fantuzzi, D Goluskin
SIAM Journal on Optimization 33 (2), 481-512, 2023
8 2023 Stable solitons in a nearly PT-symmetric ferromagnet with spin-transfer torque IV Barashenkov, A Chernyavsky
Physica D: Nonlinear Phenomena 409, 132481, 2020
7 2020 Krein Signature in Hamiltonian and -Symmetric Systems A Chernyavsky, PG Kevrekidis, DE Pelinovsky
Parity-time Symmetry and Its Applications, 465-491, 2018
7 2018 Krein signature for instability of PT-symmetric states A Chernyavsky, DE Pelinovsky
Physica D: Nonlinear Phenomena 371, 48-59, 2018
6 2018 Integrability and trajectory confinement in-symmetric waveguide arrays IV Barashenkov, F Smuts, A Chernyavsky
Journal of Physics A: Mathematical and Theoretical 56 (16), 165701, 2023
3 2023 Whitham modulation theory for the Zakharov-Kuznetsov equation and transverse instability of its periodic traveling wave solutions G Biondini, A Chernyavsky
arXiv preprint arXiv:2306.12966, 2023
2023 Dynamics of D fluid in bounded domain via conformal variables A Chernyavsky, S Dyachenko
arXiv preprint arXiv:2205.02349, 2022
2022 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 Dynamics of 2D fluid in bounded domain via conformal variables A Chernyavsky, SA Dyachenko
2023 Fall Eastern Sectional Meeting, 0