Breathers in Hamiltonian PT-symmetric chains of coupled pendula under a resonant periodic force A Chernyavsky, D Pelinovsky Symmetry 8 (7), 59, 2016 | 19 | 2016 |
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 |
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 |
Krein Signature in Hamiltonian and -Symmetric Systems A Chernyavsky, PG Kevrekidis, DE Pelinovsky Parity-time Symmetry and Its Applications, 465-491, 2018 | 7 | 2018 |
Stable solitons in a nearly PT-symmetric ferromagnet with spin-transfer torque IV Barashenkov, A Chernyavsky Physica D: Nonlinear Phenomena 409, 132481, 2020 | 6 | 2020 |
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 |
Dynamics of 2D fluid in bounded domain via conformal variables A Chernyavsky, SA Dyachenko 2023 Fall Eastern Sectional Meeting, 0 | 1* | |
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 |