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TWO-DIMENSIONAL DISCRETE BREATHERS IN FCC METALS
BACHURINA, O.V., KUDREYKO, A.A. (2020)
mode in a defect free nonlinear lattice, is related to their ability to localize vibrational energy
Delocalized Nonlinear Vibrational Modes in Bcc Lattice for Testing and Improving Interatomic Potentials
Ryabov, Denis S., Kosarev, Igor V., Xiong, Daxing, Kudreyko, Aleksey A., Dmitriev, Sergey V. (2025)
Molecular dynamics (MD) is a powerful method widely used in materials science and solid
Chaotic discrete breathers in bcc lattice
Kolesnikov, I.D., Shcherbinin, S.A., Bebikhov, Yu.V., Korznikova, E.A., Shepelev, I.A., Kudreyko, A.A., Dmitriev, S.V. (2024)
It is well known that a modulationally unstable short-wavelength delocalized nonlinear vibrational
НОВЫЕ ТИПЫ ОДНОМЕРНЫХ ДИСКРЕТНЫХ БРИЗЕРОВ В ДВУМЕРНОЙ РЕШЕТКЕ
NEW TYPES OF ONE-DIMENSIONAL DISCRETE BREATHERS IN A TWO-DIMENSIONAL LATTICE
СЕМЕНОВ, АЛЕКСАНДР СЕРГЕЕВИЧ, МУРЗАЕВ, РАМИЛЬ ТУХФАТОВИЧ, БЕБИХОВ, ЮРИЙ ВЛАДИМИРОВИЧ, КУДРЕЙКО, АЛЕКСЕЙ АЛЬФРЕДОВИЧ, ДМИТРИЕВ, СЕРГЕЙ ВЛАДИМИРОВИЧ, SEMENOV ALEXANDER SERGEEVICH, MURZAEV RAMIL TUHFATOVICH, BEBIKHOV YURI VLADIMIROVICH, KUDREYKO ALEKSEY ALFREDOVICH, DMITRIEV SERGEY VLADIMIROVICH (2020)
NONLINEAR LATTICE DYNAMICS
Lyapunov Quantities for Andronov-Hopf Bifurcation Problem in Reaction-Diffusion Systems
Abushahmina, GR, Gusarova, NI, Yumagulov, MG (2021)
in infinite-dimensional dynamical systems is considered. A general scheme of obtaining new formulas
SPHERICALLY LOCALIZED DISCRETE BREATHERS IN BCC METALS V AND NB
KRYLOVA, K.A., DMITRIEV, S.V., LOBZENKO, I.P., SEMENOV, A.S., KUDREYKO, A.A. (2020)
, large-amplitude vibrational modes in nonlinear lattices. Rod-like discrete breathers (DBs) have been
Two-component localized vibrational modes in fcc metals
Bachurina, OV, Kudreyko, AA (2021)
-component delocalized nonlinear vibrational mode (DNVM) are excited in a single (111) close-packed atomic plane in fcc
Atomistic study of two-dimensional discrete breathers in hcp titanium
Bachurina, O.V., Murzaev, R.T., Kudreyko, A.A., Dmitriev, S.V., Bachurin, D.V. (2022)
modes in a defect free nonlinear crystal lattice, i.e., discrete breathers (DBs). For that, dynamics
Supersonic voidions in 2D Morse lattice
SHEPELEV, I.A., DMITRIEV, S.V., KUDREIKO, A.A., VELARDE, M.G., KORZNIKOVA, E.A. (2020)
Dynamics of M × 1-crowdion clusters (M=1, 2 or 3) and vacancy clusters is analyzed in 2D triangular
Noether symmetries, group analysis and soliton solutions of a (3+1)-dimensional generalized fifth-order Zakharov–Kuznetsov model with power, dual power laws and dispersed perturbation terms with real-world applications
Adeyemo, Oke Davies, Khalique, Chaudry Masood, Migranov, Nail G. (2024)
Highly important is a three-dimensional nonlinear partial differential equation because for many

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