Persons
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
 
Anikin, Anatolii Yur'evich
Statistics Math-Net.Ru
Total publications: 23
Scientific articles: 22
Presentations: 6

Number of views:
This page:1672
Abstract pages:12665
Full texts:3435
References:1979
E-mail:

https://www.mathnet.ru/eng/person48961
List of publications on Google Scholar

Publications in Math-Net.Ru Citations
2023
1. A. Yu. Anikin, A. I. Klevin, “Asymptotics of the Helmholtz equation solutions in a two-layer medium with a localized right-hand side”, TMF, 216:1 (2023),  148–168  mathnet  mathscinet; Theoret. and Math. Phys., 216:1 (2023), 1036–1054  scopus 2
2. A. Yu. Anikin, S. Yu. Dobrokhotov, V. E. Nazaikinskii, M. Rouleux, “Lagrangian manifolds and the construction of asymptotics for (pseudo)differential equations with localized right-hand sides”, TMF, 214:1 (2023),  3–29  mathnet  mathscinet; Theoret. and Math. Phys., 214:1 (2023), 1–23  scopus 10
2022
3. A. Yu. Anikin, S. Yu. Dobrokhotov, A. A. Shkalikov, “On Expansions in the Exact and Asymptotic Eigenfunctions of the One-Dimensional Schrödinger Operator”, Mat. Zametki, 112:5 (2022),  644–664  mathnet  mathscinet; Math. Notes, 112:5 (2022), 623–641  scopus 2
4. A. Yu. Anikin, V. V. Rykhlov, “Constructive Semiclassical Asymptotics of Bound States of Graphene in a Constant Magnetic Field with Small Mass”, Mat. Zametki, 111:2 (2022),  163–187  mathnet  mathscinet; Math. Notes, 111:2 (2022), 173–192  isi  scopus 2
5. A. Yu. Anikin, S. Yu. Dobrokhotov, I. A. Nosikov, “Librations with large periods in tunneling: Efficient calculation and applications to trigonal dimers”, TMF, 213:1 (2022),  163–190  mathnet  mathscinet; Theoret. and Math. Phys., 213:1 (2022), 1453–1476  scopus 2
2021
6. A. Yu. Anikin, S. Yu. Dobrokhotov, V. E. Nazaikinskii, A. V. Tsvetkova, “Nonstandard Liouville tori and caustics in asymptotics in the form of Airy and Bessel functions for two-dimensional standing coastal waves”, Algebra i Analiz, 33:2 (2021),  5–34  mathnet; St. Petersburg Math. J., 33:2 (2022), 185–205 6
2020
7. A. Yu. Anikin, “Asymptotics of One-Dimensional Linear Standing Water Waves with Dispersion and Degeneracy on the Boundary”, Mat. Zametki, 107:5 (2020),  774–779  mathnet  elib; Math. Notes, 107:5 (2020), 838–843  isi  scopus 1
8. A. Yu. Anikin, S. Yu. Dobrokhotov, A. V. Tsvetkova, “Airy function and transition between the semiclassical and harmonic oscillator approximations for one-dimensional bound states”, TMF, 204:2 (2020),  171–180  mathnet  mathscinet  elib; Theoret. and Math. Phys., 204:2 (2020), 984–992  isi  scopus 8
9. A. Yu. Anikin, M. A. Vavilova, “Semiclassical asymptotic behavior of the lower spectral bands of the Schrödinger operator with a trigonal-symmetric periodic potential”, TMF, 202:2 (2020),  264–277  mathnet  mathscinet  elib; Theoret. and Math. Phys., 202:2 (2020), 231–242  isi  scopus 1
2019
10. A. Yu. Anikin, S. Yu. Dobrokhotov, V. E. Nazaikinskii, A. V. Tsvetkova, “Asymptotic eigenfunctions of the operator $\nabla D(x)\nabla$ defined in a two-dimensional domain and degenerating on its boundary and billiards with semi-rigid walls”, Differ. Uravn., 55:5 (2019),  660–672  mathnet  mathscinet  zmath  elib; Differ. Equ., 55:5 (2019), 644–657  isi  scopus 7
11. A. Yu. Anikin, D. S. Minenkov, “On the Run-Up for Two-Dimensional Shallow Water in the Linear Approximation”, Mat. Zametki, 106:2 (2019),  163–173  mathnet  mathscinet  elib; Math. Notes, 106:2 (2019), 163–171  isi  scopus 1
12. A. Yu. Anikin, S. Yu. Dobrokhotov, V. E. Nazaikinskii, A. V. Tsvetkova, “Asymptotics, Related to Billiards with Semi-Rigid Walls, of Eigenfunctions of the $\nabla D(x)\nabla$ Operator in Dimension 2 and Trapped Coastal Waves”, Mat. Zametki, 105:5 (2019),  792–797  mathnet  mathscinet  elib; Math. Notes, 105:5 (2019), 789–794  isi  scopus 7
13. A. Yu. Anikin, S. Yu. Dobrokhotov, V. E. Nazaikinskii, A. V. Tsvetkova, “Uniform asymptotic solution in the form of an Airy function for semiclassical bound states in one-dimensional and radially symmetric problems”, TMF, 201:3 (2019),  382–414  mathnet  mathscinet  elib; Theoret. and Math. Phys., 201:3 (2019), 1742–1770  isi  scopus 39
2018
14. Anatoly Anikin, Sergey Dobrokhotov, Vladimir Nazaikinskii, “Asymptotic solutions of the wave equation with degenerate velocity and with right-hand side localized in space and time”, Zh. Mat. Fiz. Anal. Geom., 14:4 (2018),  393–405  mathnet  isi 1
15. A. Yu. Anikin, S. Yu. Dobrokhotov, V. E. Nazaikinskii, “Simple Asymptotics for a Generalized Wave Equation with Degenerating Velocity and Their Applications in the Linear Long Wave Run-Up Problem”, Mat. Zametki, 104:4 (2018),  483–504  mathnet  mathscinet  elib; Math. Notes, 104:4 (2018), 471–488  isi  scopus 26
16. A. Yu. Anikin, S. Yu. Dobrokhotov, A. I. Klevin, B. Tirozzi, “Gausian packets and beams with focal points in vector problems of plasma physics”, TMF, 196:1 (2018),  135–160  mathnet  mathscinet  elib; Theoret. and Math. Phys., 196:1 (2018), 1059–1081  isi  scopus 3
2017
17. A. Yu. Anikin, S. Yu. Dobrokhotov, A. I. Klevin, B. Tirozzi, “Scalarization of stationary semiclassical problems for systems of equations and its application in plasma physics”, TMF, 193:3 (2017),  409–433  mathnet  elib; Theoret. and Math. Phys., 193:3 (2017), 1761–1782  isi  scopus 6
2016
18. S. Yu. Dobrokhotov, A. Yu. Anikin, “Approximation of Solutions of the Two-Dimensional Wave Equation with Variable Velocity and Localized Right-Hand Side Using Some “Simple” Solutions”, Mat. Zametki, 100:6 (2016),  825–837  mathnet  mathscinet  elib; Math. Notes, 100:6 (2016), 796–806  isi  scopus 5
19. A. Yu. Anikin, S. Yu. Dobrokhotov, M. I. Katsnel'son, “Lower part of the spectrum for the two-dimensional Schrödinger operator periodic in one variable and application to quantum dimers”, TMF, 188:2 (2016),  288–317  mathnet  mathscinet  elib; Theoret. and Math. Phys., 188:2 (2016), 1210–1235  isi  scopus 3
2015
20. A. Yu. Anikin, J. Brüning, S. Yu. Dobrokhotov, “Averaging and trajectories of a Hamiltonian system appearing in graphene placed in a strong magnetic field and a periodic potential”, Fundam. Prikl. Mat., 20:2 (2015),  5–20  mathnet  mathscinet  elib; J. Math. Sci., 223:6 (2017), 656–666 1
2013
21. A. Yu. Anikin, “Librations and ground-state splitting in a multidimensional double-well problem”, TMF, 175:2 (2013),  193–205  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 175:2 (2013), 609–619  isi  elib  scopus 8
2009
22. A. Yu. Anikin, “Quantum Birkhoff normal forms”, TMF, 160:3 (2009),  487–506  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 160:3 (2009), 1274–1291  isi  scopus 5
2008
23. A. Yu. Anikin, “Normal Form of a Quantum Hamiltonian with One and a Half Degrees of Freedom Near a Hyperbolic Fixed Point”, Regul. Chaotic Dyn., 13:5 (2008),  377–402  mathnet  mathscinet  zmath 4

Presentations in Math-Net.Ru
1. A constructive geometric approach to the construction of Gaussian beams and packets and its application to the linearized equations of cold plasma
S. Yu. Dobrokhotov, A. I. Klevin, A. Yu. Anikin, B. Tirozzi
Actual Problems of Applied Mathematics
March 19, 2021   
2. Равномерные асимптотические формулы в виде специальных функций в окрестности стандартных и нестандартных каустик в задачах с биллиардами с полужесткими стенками
A. Yu. Anikin, S. Yu. Dobrokhotov, V. E. Nazaikinskii, A. V. Tsvetkova
Differential geometry and applications
September 21, 2020 17:45
3. Асимптотики спектральных задач, связанные с биллиардами геодезического потока на торе Лиувилля с вырождающейся на границе метрике
S. Yu. Dobrokhotov, V. E. Nazaikinskii, A. Yu. Anikin, A. V. Tsvetkova
Modern geometry methods
April 17, 2019 18:30
4. Либрации гамильтоновых систем и туннелирование в квантовой двойной яме
A. Yu. Anikin
Hamiltonian systems and statistical mechanics
October 28, 2013
5. Нормальные формы квантовых наблюдаемых
A. Yu. Anikin
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
June 17, 2010 11:00
6. Некоммутативные нормальные формы
A. Yu. Anikin
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
May 8, 2008 11:00

Organisations
 
  Contact us:
  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025