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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
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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
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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
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O. Chekeres, V. Salnikov, Odd Wilson surfaces, Journal of Geometry and Physics 203 (2024),
Preprint:
arXiv:2403.09820
- O. Chekeres, V. Salnikov, F. D’Annibale, From approximation of dissipative systems
to representative space-time volume elements for metamaterials, Continuum Mech. Thermodyn. (2024)
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.
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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.
-
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.
-
O. Chekeres, V. Salnikov, Weird, Odd, Generalized, to appear in Proceedings
of XLI Workshop on Geometric Methods in Physics, Trends in Mathematics, Birkhäuser, 2025
-
V. Salnikov, Generalized geometry in relation to physics and mechanics - recollection
of lectures given at the XIV School on Geometry and Physics, to appear in Proceedings
of XLI Workshop on Geometric Methods in Physics, Trends in Mathematics, Birkhäuser, 2025
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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