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Published or accepted articles
In international journals
- V.L.Golo, Vl.N.Salnikov, and K.V.Shaitan,
Harmonic Oscillators in the Nosé-Hoover
Environment,
Physical Review, E70, 046130, 2004.
-
V.Salnikov, T.Strobl, Dirac Sigma Models from Gauging,
Journal of High
Energy Physics, 11/2013 ; 2013(11).
DOIs:10.1007/JHEP11(2013)110
-
V.Salnikov, On numerical approaches to the analysis of topology of the phase space
for dynamical integrability,
Chaos, Solitons & Fractals, Vol. 57, Dec. 2013.
Preprint: arXiv:1206.3801 [math.DS].
-
V.Salnikov, Effective algorithm of analysis of integrability via the Ziglin's method,
Journal of Dynamical and Control Systems, March 2014,
Preprint: arXiv:1208.6252 [math.DS].
-
A.Kotov, V.Salnikov, T.Strobl, 2d Gauge Theories and Generalized Geometry,
Journal of High Energy Physics, 2014:21, 2014,
DOI:10.1007/JHEP08(2014)021.
-
V.Salnikov, D.Choi, P.Karamian-Surville, On efficient and reliable stochastic
generation of RVEs for analysis of composites within the framework
of homogenization
Computational Mechanics, Volume 55, Issue 1, 2015.
Preprint: arXiv:1408.6074.
-
V.Salnikov, Graded geometry in gauge theories and beyond,
Journal
of Geometry and Physics,
Volume 87, 2015,
Preprint: arXiv:1411.4486
-
V.Salnikov, S.Lemaitre, D.Choi, P.Karamian-Surville, Measure of combined
effects
of morphological parameters of inclusions within composite materials
via stochastic
homogenization to determine effective mechanical properties,
Composite
Structures, Vol. 2015, Pages 122 - 131,
Preprint: arXiv:1411.4037.
-
L.Hanten, G.Giunta, S.Belouettar, and V. Salnikov, Free Vibration Analysis of
Fibre-Metal
Laminated Beams via Hierarchical One-Dimensional Models,
Mathematical Problems in Engineering, 2018,
DOI:10.1155/2018/2724781.
-
V.Salnikov, D.Choï, P.Karamian-Surville, Computation of effective electrical
conductivity
of composite materials: A novel approach based on analysis of graphs,
Composite Structures,
Vol. 189, 2018, Preprint: 1612.09262
-
V.Salnikov, A.Hamdouni, From modelling of systems with constraints to generalized
geometry and back to numerics, Z Angew Math Mech., Vol. 99, Issue 6, 2019,
Preprint: 1807.06652
-
D.Razafindralandy, V.Salnikov, A.Hamdouni, and A.Deeb,
Some robust integrators
for large time dynamics,
Advanced Modeling and Simulation in Engineering Sciences,
6, 5, 2019,
Preprint: 1811.09114
-
V.Salnikov, A.Hamdouni, Differential Geometry and Mechanics - a source of problems
for computer algebra, Programming and Computer Software, Vol. 46, Issue 2, 2020.
-
V.Salnikov, Supersymmetrization: AKSZ and beyond?, Russian Journal of Mathematical
Physics, Vol. 27, No. 4, 2020, Preprint: arXiv:1608.07457
- V.Salnikov, A.Hamdouni, D.Loziienko, Generalized and graded geometry for mechanics:
a comprehensive introduction, Mathematics and Mechanics of Complex Systems,
Vol. 9, No. 1, 2021, Preprint: 2007.11081
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B.Jubin, A.Kotov, N.Poncin, V.Salnikov, Differential graded Lie groups and their
differential
graded Lie algebras, Transformation Groups, volume 27, pages 497–523 (2022)
Preprint: arXiv:1906.09630
-
D.Loziienko, V.Salnikov, A.Hamdouni, Construction of pseudo-geometric integrators
Programming and Computer Software, Volume 48, Issue 2, 2022.
- V.Salnikov, A.Falaize, D.Loziienko. Learning port-Hamiltonian systems - algorithms,
Computational Mathematics and Mathematical Physics, 2023.
Preprint: arXiv:2207.07124
-
O. Cosserat, C. Laurent-Gengoux, A. Kotov, L. Ryvkin, V. Salnikov, On Dirac structures
admitting a variational approach, Mathematics and Mechanics of Complex Systems, 2023.
Preprint:
arXiv:2109.00313
-
A. Kotov, V. Salnikov, Various instances of Harish-Chandra pairs, Journal of Geometry and
Physics, Volume 191, 2023, Preprint:
arXiv:2207.07083
-
A. Kotov, C. Laurent-Gengoux, V. Salnikov, Normal forms of Z-graded Q-manifolds Journal
of Geometry and Physics, Volume 191, 2023, Preprint:
arXiv:2212.05579
-
V. Salnikov, Port-Hamiltonian systems: structure recognition and applications, Programming
and Computer Software, Volume 50, 2, 2024
-
O.Cosserat, V.Salnikov, C.Laurent-Gengoux, Numerical Methods in Poisson Geometry
and their Application to Mechanics, to appear in Mathematics and Mechanics of Solids, 2024
Preprint:
arXiv:2303.15883
-
A. Kotov, V. Salnikov, The category of Z-graded manifolds: what happens if you do not
stay positive,
to appear in Differential Geometry and its Applications, 2024
Preprint:
arXiv:2108.13496
In refereed proceedings
- Vl.N.Salnikov,
Nonlinear Dynamics and Resonance Effects of Systems in the
Nosé-Hoover Thermostat,
Proceedings of the Contest-Conference for Young Scientists,
Institute of Mechanics of MSU, 2004.
-
V.N.Salnikov,
Nonlinear Dynamics in the Nosé-Hoover Environment, Proceedings
of the Fifth EUROMECH Nonlinear Dynamics Conference,
12 pages, 2005.
-
Vl.N.Salnikov,
On the dynamics of the triple pendulum: non-integrability,
topological properties of the phase space,
Lecture notes of The Conference
"Dynamical Integrability" (CIRM), 2006.
-
Vl.N.Salnikov,
On the dynamics of a triple pendulum: Various approaches
to non-integrability,
Proceedings of the Contest-Conference for Young Scientists,
Institute of Mechanics of MSU, 2007.
-
V.Salnikov, D.Choi, P.Karamian, S.Lemaitre, Génération de VER 3D par
la dynamique moléculaire et variations autour de la pixellisation. Calcul
des
propriétés effectives des composites, proceedings of CSMA 2015.
-
V. Hounkpati, V. Salnikov, A. Vivet, P. Karamian-Surville, On the influence
of the inclusions'
morphology on the accuracy of the prediction of reinforced
composite materials' behavior,
ECCOMAS Congress, 2016.
-
L.Hanten, G.Giunta, S.Belouettar, V.Salnikov, Analysis of Fibre-Metal Laminates
by Means
of Higher Order Hierarchical Beam Models, Proc. of XXIV International
Conference
of Italian Association of
Aeronautics and Astronautics, 2017.
-
S.Lemaitre, V.Salnikov, P.Karamian, D.Choi, Génération aléatoire de VER à
inclusions géométriques
modulables inspirée de la dynamique moléculaire,
Proceedings of the 23d French Congress of Mechanics (CFM),
AFM, 2017.
-
V. Salnikov, A. Hamdouni, Geometric integrators in mechanics - the need for
computer algebra tools, Proceedings of The third International Conference
"Computer algebra", 2019, Moscow, Russia.
-
V. Salnikov, A. Hamdouni, Géométrie généralisée et graduée pour la mécanique,
actes du Congrès Français de Mécanique, 2019, Brest, France.
-
V. Salnikov, A. Hamdouni, Revisiting geometric integrators in mechanics, Proceedings
of The Fourth
International Conference "Computer algebra", 2021, Moscow, Russia.
-
D.Loziienko, A.Hamdouni, V.Salnikov. Construction des intégrateurs pseudo-géométriques.
25ème Congrès Français de Mécanique, Aug 2022, Nantes, France.
-
O.Cosserat, A.Kotov, C.Laurent-Gengoux, L.Ryvkin, V.Salnikov. Dynamique de Dirac pour
les problèmes mécaniques. 25ème Congrès Français de Mécanique, Aug 2022, Nantes, France.
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O.Cosserat, V.Salnikov, C.Laurent-Gengoux. Intégrateurs géométriques en géométrie
de Poisson.
25ème Congrès Français de Mécanique, Aug 2022, Nantes, France.
-
V. Salnikov, Learning Port-Hamiltonian systems, Proceedings
of The Fifth
International Conference "Computer algebra", 2023, Moscow, Russia.
In other journals
-
V.Salnikov, Intégrabilité dynamique: de l'approche algébrique
au calcul parallèle,
Matapli (SMAI), No 100, 2013 (en français).
Matapli archive
Scientific notes and preprints
-
V.Salnikov, Integrability of the double pendulum - the Ramis' question,
Preprint: arXiv:1303.4904 [math.DS].
-
S. Lemaitre, V. Salnikov, D. Choi, P. Karamian, Computation of thermal properties
via 3D
homogenization of multiphase materials using FFT-based
accelerated scheme.
Preprint: arXiv:1504.07499
-
S. Lemaitre, V. Salnikov, D. Choi, P. Karamian, Influence of morphological
parameters in 3D
composite materials on their effective thermal properties
and comparison with effective
mechanical
properties, Preprint: arXiv:1602.07851
- V.Hounkpati, V.Salnikov, A.Vivet, P.Karamian, On the effective
mechanical properties of composites reinforced by ellipsoidal and spherical
particles: Fast Fourier Transform and mean-field homogenization.
-
V.Hounkpati, V.Salnikov, A.Vivet, P.Karamian-Surville, On the choice of
homogenization
method to achieve effective mechanical properties of composites
reinforced by ellipsoidal and spherical particles,
Preprint: arXiv:1701.09131
Around science and education
-
Vl.N.Salnikov,
The possibilities of using the school informatics laboratory
in realization of the
"interaction" between the various profiles of education,
Special volume of the digest "Realization of the lyceum education"
2008.
-
A.Fialowski, J.Hilgert, B.Orsted,
V.Salnikov, "Discoveries, not Inventions"
- Interview
with Ernest Borisovich Vinberg, European Mathematical
Society
Newsletter, 2017.
-
A.Fialowski, Yu.Neretin, M.Pevzner, V.Salnikov,
“Liberté aux professeurs associés!” -
Interview with
Alexandre Aleksandrovich Kirillov, European Mathematical
Society Newsletter, 2017.
-
A.Frabetti, V.Salnikov, L.Schaposnik. Working from Home.
2 Months 4 Months
and Still Counting..., European Mathematical Society Newsletter, 117, 2020.
-
A.Bruce, K.Grabowska, D.Millionshchikov, V.Salnikov, A.Tuzhilin. Working from Home.
2 Months
8 Months and Still Continuing..., European Mathematical Society Newsletter, 118, 2020.
- Interview pour "L'actualité Nouvelle Acquitaine", No 133, 2022, "MARGAUx Fédérer les recherches en
mathématiques
en Nouvelle-Aquitaine. Dossier avec Abdallah El Hamidi, Mathieu Naudin, Annabelle Collin,
Pierre Del Moral, Francisco Silva, Sandrine Dallaporta, Hélène Barucq, Laurence Cherfils, Vladimir Salnikov.
- V. Salnikov, Some catchy title, e.g., this one Conversation with Christian Goichon about mediators
of science, EMS Magazine, 126, 2022.
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