## Lychagin, Valentin V.

Compute Distance To:
 Author ID: lychagin.valentin-v Published as: Lychagin, V. V.; Lychagin, Valentin; Lychagin, Valentin V.; Lychagin, V.; Lycagin, V. V. External Links: ORCID
 Documents Indexed: 169 Publications since 1973, including 3 Books 2 Contributions as Editor Biographic References: 3 Publications Co-Authors: 65 Co-Authors with 131 Joint Publications 1,841 Co-Co-Authors
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### Co-Authors

 40 single-authored 15 Kruglikov, Boris S. 14 Tychkov, Sergey N. 14 Yumaguzhin, Valeriy A. 13 Duyunova, Anna Andreevna 12 Kushner, Alexei G. 10 Goldberg, Vladislav V. 10 Konovenko, Nadiya G. 10 Zilbergleit, Lev V. 9 Bibikov, Pavel Vitalievich 9 Rubtsov, Vladimir Nikolaevich 7 Jakobsen, Per Kristen 7 Roop, Mikhail D. 5 Akhmetzyanov, Atlas V. 4 Huru, Hilja Lisa 4 Krasil’shchik, Iosif Semënovich 4 Vinogradov, Aleksandr Mikhaĭlovich 2 Gurevich, Dmitrii 2 Verbovetsky, Alexander Moiseevich 1 Akhmetzianov, A. V. 1 Akivis, Maks A. 1 Alekseev, D. V. 1 Alekseevskiĭ, Dmitriĭ Vladimirovich 1 Astashov, A. M. 1 Astashova, Irina Viktorovna 1 Bocharov, Alexei V. 1 Bukhshtaber, Viktor Matveevich 1 Chekalov, Igor V. 1 Chetverikov, Vladimir N. 1 Duzhin, Sergeĭ Vasil’evich 1 Fomenko, Anatoliĭ Timofeevich 1 Fuchs, Dmitry Borisovich 1 Gorinov, Anton A. 1 Helemskii, Alexander Ya. 1 Kac, Victor G. 1 Khor’kova, Nina Grigor’evna 1 Kirichenko, Vadim Fëdorovich 1 Kononenko, N. G. 1 Kosmann-Schwarzbach, Yvette 1 Krichever, Igor’ Moiseevich 1 Krishchenko, Alexander P. 1 Lando, Sergei K. 1 Lychagina, Olga 1 Marvan, Michal 1 Maslov, Viktor Pavlovich 1 Mishchenko, Aleksandr Sergeevich 1 Novikov, Sergeĭ Petrovich 1 Prasolov, Andrei V. 1 Prástaro, Agostino 1 Romanovskij, Yu. R. 1 Roubtsov, Volodya 1 Samokhin, Alexey V. 1 Schwarz, Albert S. 1 Shelekhov, Alexander M. 1 Slovák, Jan 1 Sosinskiĭ, Alekseĭ Bronislavovich 1 Stasheff, James D. 1 Sternin, Boris Yur’evich 1 Straume, Eldar J. 1 Vasil’ev, Viktor Anatol’evich 1 Vershik, Anatoliĭ Moiseevich 1 Veselov, Alexander Petrovich 1 Vinogradov, Michael M. 1 Vitagliano, Luca 1 Vitolo, Raffaele F. 1 Voronov, Theodore
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all top 5

### Fields

 79 Partial differential equations (35-XX) 78 Global analysis, analysis on manifolds (58-XX) 71 Differential geometry (53-XX) 27 Fluid mechanics (76-XX) 15 Category theory; homological algebra (18-XX) 13 Dynamical systems and ergodic theory (37-XX) 11 Nonassociative rings and algebras (17-XX) 8 Ordinary differential equations (34-XX) 8 Relativity and gravitational theory (83-XX) 7 Algebraic topology (55-XX) 7 Classical thermodynamics, heat transfer (80-XX) 7 Quantum theory (81-XX) 6 Associative rings and algebras (16-XX) 6 Topological groups, Lie groups (22-XX) 6 Systems theory; control (93-XX) 4 Commutative algebra (13-XX) 4 Algebraic geometry (14-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Manifolds and cell complexes (57-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Group theory and generalizations (20-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Operator theory (47-XX) 2 Geometry (51-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of particles and systems (70-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Information and communication theory, circuits (94-XX) 1 Combinatorics (05-XX) 1 $$K$$-theory (19-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

112 Publications have been cited 813 times in 442 Documents Cited by Year
Geometry of jet spaces and nonlinear partial differential equations. Transl. from the Russian by A. B. Sosinskij. Zbl 0722.35001
Krasil’shchik, I. S.; Lychagin, V. V.; Vinogradov, A. M.
1986
Contact geometry and nonlinear differential equations. Zbl 1122.53044
Kushner, Alexei; Lychagin, Valentin; Rubtsov, Vladimir
2007
Global Lie-Tresse theorem. Zbl 1347.53015
Kruglikov, Boris; Lychagin, Valentin
2016
Geometry of differential equations. Zbl 1236.58039
Kruglikov, Boris; Lychagin, Valentin
2008
Contact geometry and non-linear second-order differential equations. Zbl 0427.58002
Lychagin, V. V.
1979
Introduction to the geometry of nonlinear differential equations. (Vvedenie v geometriyu nelinejnykh differentsial’nykh uravnenij). Zbl 0592.35002
Vinogradov, A. M.; Krasil’shchik, I. S.; Lychagin, V. V.
1986
Local classification of non-linear first order partial differential equations. Zbl 0315.35027
Lycagin, V. V.
1975
A classification of Monge-Ampère equations. Zbl 0789.58078
Lychagin, V. V.; Rubtsov, V. N.; Chekalov, I. V.
1993
Invariants of pseudogroup actions: homological methods and finiteness theorem. Zbl 1125.53011
Kruglikov, Boris; Lychagin, Valentin
2006
Basic ideas and concepts of differential geometry. Zbl 0735.53001
Alekseev, D. V.; Vinogradov, A. M.; Lychagin, V. V.
1988
Singularities of multivalued solutions of nonlinear differential equations, and nonlinear phenomena. Zbl 0562.35008
Lychagin, V. V.
1985
Mayer brackets and solvability of PDEs. I. Zbl 1026.35004
Kruglikov, Boris; Lychagin, Valentin
2002
Basic ideas and notions from differential geometry. Zbl 0675.53001
Alekseevskij, D. V.; Vinogradov, A. M.; Lychagin, V. V.
1988
$$\mathrm{GL}_2(\mathbb C)$$-orbits of binary rational forms. Zbl 1258.13011
Bibikov, P.; Lychagin, V.
2011
Mayer brackets and solvability of PDEs. II. Zbl 1093.35053
Kruglikov, Boris; Lychagin, Valentin
2006
Singularities of Cauchy data, characteristics, cocharacteristics and integral cobordism. Zbl 0808.58039
Lychagin, V.; Prástaro, A.
1994
Feedback differential invariants. Zbl 1189.93035
Lychagin, Valentin
2010
Symmetries of distributions and quadrature of ordinary differential equations. Zbl 0739.34001
Duzhin, S. V.; Lychagin, V. V.
1991
On the Blaschke conjecture for 3-webs. Zbl 1104.53011
Goldberg, Vladislav V.; Lychagin, Valentin V.
2006
Colour calculus and colour quantizations. Zbl 0846.18006
Lychagin, V.
1995
Geometric theory of singularities of solutions of nonlinear differential equations. Zbl 1267.35056
Lychagin, V. V.
1990
Homogeneous geometric structures and homogeneous differential equations. Zbl 0843.58002
Lychagin, V.
1995
On sufficient orbits of a group of contact diffeomorphisms. Zbl 0412.58019
Lychagin, V. V.
1977
On Sophus Lie’s theorems for the Monge-Ampère equations. Zbl 0526.58002
Lychagin, V. V.; Rubtsov, V. N.
1983
Linearizability of $$d$$-webs, $$d \geq 4$$, on two-dimensional manifolds. Zbl 1073.53021
Akivis, Maks A.; Goldberg, Vladislav V.; Lychagin, Valentin V.
2004
Classification of linear actions of algebraic groups on spaces of homogeneous forms. Zbl 1242.53013
Bibikov, P. V.; Lychagin, V. V.
2012
Finite-dimensional dynamics for evolutionary equations. Zbl 1181.35244
Lychagin, Valentin; Lychagina, Olga
2007
Contact geometry, measurement, and thermodynamics. Zbl 1428.53111
Lychagin, Valentin V.
2019
Invariants in relativity theory. Zbl 1332.83034
Lychagin, V.; Yumaguzhin, V.
2015
Calculus and quantizations over Hopf algebras. Zbl 0914.18007
Lychagin, V.
1998
Projective classification of binary and ternary forms. Zbl 1230.22011
Bibikov, Pavel; Lychagin, Valentin
2011
The geometry and topology of shock waves. Zbl 0549.58015
Lychagin, V. V.
1982
Classification of equations of state for viscous fluids. Zbl 1375.35370
Duyunova, A. A.; Lychagin, V. V.; Tychkov, S. N.
2017
Dimension of the solutions space of PDEs. Zbl 1200.35194
Kruglikov, Boris; Lychagin, Valentin
2006
Geometric singularities of solutions of nonlinear differential equations. Zbl 0546.35014
Lychagin, V. V.
1981
Braided differential operators and quantizations in $$ABC$$-categories. Zbl 0803.18005
Lychagin, Valentin
1994
On differential invariants of actions of semisimple Lie groups. Zbl 1298.22011
Bibikov, Pavel; Lychagin, Valentin
2014
$$GL_{3}(\mathbb C)$$-orbits of ternary rational forms. Zbl 1237.53011
Bibikov, P. V.; Lychagin, V. V.
2011
Classification of the second order linear differential operators and differential equations. Zbl 1394.35017
Lychagin, Valentin; Yumaguzhin, Valeriy
2018
Quantum mechanics on manifolds. Zbl 0930.35149
Lychagin, V.
1999
Critical phenomena in filtration processes of real gases. Zbl 1453.80004
Lychagin, V. V.; Roop, M. D.
2020
Feedback equivalence of 1-dimensional control systems of the 1-st order. Zbl 1199.53033
Lychagin, V. V.
2009
Compatibility, multi-brackets and integrability of systems of PDEs. Zbl 1191.35187
Kruglikov, Boris; Lychagin, Valentin
2010
Quantizations of differential equations. Zbl 1042.18500
Lychagin, Valentin
2001
On equivalence of differential equations. Zbl 1122.35302
Kruglikov, Boris; Lychagin, Valentin
1999
Local classification of Monge-Ampère differential equations. Zbl 0555.35016
Lychagin, V. V.; Rubtsov, V. N.
1983
Control of displacement front in a model of immiscible two-phase flow in porous media. Zbl 1349.76801
Akhmetzyanov, A. V.; Kushner, A. G.; Lychagin, Valentin V.
2016
Attractors in models of porous media flow. Zbl 1368.35038
Akhmetzyanov, A. V.; Kushner, A. G.; Lychagin, Valentin V.
2017
Differential invariants for plane flows of viscid fluids. Zbl 1373.37184
Duyunova, A.; Lychagin, Valentin; Tychkov, Sergey
2017
Singularities of solutions, spectral sequences and normal forms of Lie algebras of vector fields. Zbl 0643.58039
Lychagin, V. V.
1987
On linearization of planar three-webs and Blaschke’s conjecture. Zbl 1102.53051
Goldberg, Vladislav V.; Lychagin, Valentin V.
2005
Petrov invariants for 1-D control Hamiltonian systems. Zbl 1296.37046
Kushner, Alexei G.; Lychagin, Valentin V.
2012
$$\text{GL}_{2}(\mathbb C)$$-orbits of binary forms. Zbl 1215.13005
Bibikov, P. V.; Lychagin, V. V.
2010
Multi-brackets of differential operators and compatibility of PDE systems. Zbl 1096.35094
Kruglikov, Boris; Lychagin, Valentin
2006
Petrov invariants of Hamiltonian systems with a control parameter. Zbl 1282.93080
Kushner, A. G.; Lychagin, V. V.
2013
Differential contra algebraic invariants: applications to classical algebraic problems. Zbl 1339.22011
Bibikov, P.; Lychagin, Valentin
2016
Quantizations of group actions. Zbl 1256.81067
Huru, Hilja L.; Lychagin, Valentin V.
2012
On sufficient orbits of a group of contact diffeomorphisms. Zbl 0405.58030
Lycagin, V. V.
1977
Spencer cohomology of invariant systems of differential equations on homogeneous spaces. Zbl 0818.58051
Zil’berglejt, L. V.; Lychagin, V. V.
1993
On structure of linear differential operators, acting on line bundles. Zbl 1480.58016
Lychagin, Valentin; Yumaguzhin, Valeriy
2020
On geometric structures of 2-dimensional gas dynamics equations. Zbl 1225.35010
Lychagin, V.; Yumaguzhin, V.
2009
Cohomological uniqueness of the Cauchy problem solutions for the Einstein equation. Zbl 1245.83003
Lychagin, Valentin; Yumaguzhin, Valeriy
2012
A compatibility criterion for systems of PDEs and generalized Lagrange-Charpit method. Zbl 1121.58004
Kruglikov, Boris; Lychagin, Valentin
2004
Spencer $$\delta$$-cohomology, restrictions, characteristics and involutive symbolic PDEs. Zbl 1109.35366
Kruglikov, Boris; Lychagin, Valentin
2007
Phase transitions in filtration of Redlich-Kwong gases. Zbl 1420.35253
Lychagin, Valentin; Roop, Mikhail
2019
Gas flow with phase transitions: thermodynamics and the Navier-Stokes equations. Zbl 1428.35290
Gorinov, Anton A.; Lychagin, Valentin V.; Roop, Mikhail D.; Tychkov, Sergey N.
2019
On equivalence of third order linear differential operators on two-dimensional manifolds. Zbl 1428.58027
Lychagin, Valentin; Yumaguzhin, Valeriy
2019
Differential operators on fiber spaces. Zbl 0555.58029
Lychagin, V. V.
1985
Differential invariants and exact solutions of the Einstein-Maxwell equation. Zbl 1364.83006
Lychagin, Valentin; Yumaguzhin, Valeriy
2017
Non-holonomic filtration: Algebraic and geometric aspects of non-integrability. Zbl 0889.58071
1994
Differential invariants for flows of viscid fluids. Zbl 1394.76038
Duyunova, Anna; Lychagin, Valentin; Tychkov, Sergey
2017
On the Cauchy problem for the Einstein equation. Zbl 1260.35228
Lychagin, V. V.; Yumaguzhin, V. A.
2012
Singularities of solutions, spectral sequences, and normal forms of Lie algebras of vector fields. Zbl 0675.58044
Lychagin, V. V.
1988
On the singularities of solutions of differential equations. Zbl 0475.58026
Lychagin, V. V.
1980
Characteristic classes of solutions of differential equations. Zbl 0541.58006
Lychagin, V. V.
1983
Geometric theory of special modes in the distributed-parameter control systems. Zbl 1297.93051
Akhmetzyanov, A. V.; Kushner, A. G.; Lychagin, V. V.
2013
On projective classification of plane curves. Zbl 1296.53031
2011
Geodesic webs on a two-dimensional manifold and Euler equations. Zbl 1207.53014
Goldberg, Vladislav V.; Lychagin, Valentin V.
2010
Quantizations and classical non-commutative non-associative algebras. Zbl 1188.17012
Huru, Hilja Lisa; Lychagin, Valentin
2008
Real gas flows issued from a source. Zbl 1428.76185
Lychagin, Valentin; Roop, Mikhail
2020
Symmetries and differential invariants for inviscid flows on a curve. Zbl 1475.76071
Duyunova, A.; Lychagin, V.; Tychkov, S.
2020
Invariants of projective actions and their application to recognition of fingerprints. Zbl 1342.58007
2016
Mass and heat transport in the two-phase Buckley-Leverett model. Zbl 1360.80006
Akhmetzyanov, Atlas V.; Kushner, Alexei G.; Lychagin, Valentin V.
2017
Samuelson’s webs. Zbl 1202.53020
Gol’dberg, V. V.; Lychagin, V. V.
2010
Geodesic webs of hypersurfaces. Zbl 1183.53013
Goldberg, V. V.; Lychagin, V. V.
2009
Möbius invariants in image recognition. Zbl 1365.53014
2017
Differential invariants and exact solutions of the Einstein equations. Zbl 1371.35290
Lychagin, Valentin; Yumaguzhin, Valeriy
2017
Differential invariants for spherical flows of a viscid fluid. Zbl 1388.53014
Duyunova, Anna; Lychagin, Valentin; Tychkov, Sergey
2018
Differential invariants for spherical layer flows of viscid fluids. Zbl 1472.53020
Duyunova, Anna; Lychagin, Valentin; Tychkov, Sergey
2018
Differential equations on two-dimensional manifolds. Zbl 0899.58062
Lychagin, V. V.
1992
On projective classification of algebraic curves. Zbl 1289.53022
2013
Topological aspects of the geometric theory of differential equations. Zbl 0583.58030
Lychagin, V. V.
1985
Topological aspects of geometrical theory of differential equations. Zbl 0603.58057
Lychagin, V. V.
1986
Kontaktgeometrie und nichtlineare Differentialgleichungen zweiter Ordnung. Zbl 0405.58003
Lycagin, V. V.
1979
Solvability of Fuchsian equations depending on a parameter. Zbl 0778.34005
Lychagin, V. V.
1991
Nonholonomic intermediate integrals of partial differential equations. Zbl 0788.35093
Lychagin, V. V.; Romanovskij, Yu. R.
1990
Homogeneous structures on manifolds: Differential geometry from the point of view of differential equations. Zbl 0801.58043
Lychagin, V. V.
1992
On geometrical structures, associated with linear differential operators of the 1st order. Zbl 1481.58018
Lychagin, Valentin
2020
Abelian equations and rank problems for planar webs. Zbl 1298.53016
Goldberg, V. V.; Lychagin, V. V.
2007
On rank problems for planar webs and projective structures. Zbl 1186.53017
Goldberg, Vladislav V.; Lychagin, Valentin V.
2009
Symmetry classification of viscid flows on space curves. Zbl 1456.53079
Duyunova, Anna; Lychagin, Valentin; Tychkov, Sergey
2021
Continuum mechanics of media with inner structures. Zbl 1459.35309
Duyunova, Anna; Lychagin, Valentin; Tychkov, Sergey
2021
Critical phenomena in filtration processes of real gases. Zbl 1453.80004
Lychagin, V. V.; Roop, M. D.
2020
On structure of linear differential operators, acting on line bundles. Zbl 1480.58016
Lychagin, Valentin; Yumaguzhin, Valeriy
2020
Real gas flows issued from a source. Zbl 1428.76185
Lychagin, Valentin; Roop, Mikhail
2020
Symmetries and differential invariants for inviscid flows on a curve. Zbl 1475.76071
Duyunova, A.; Lychagin, V.; Tychkov, S.
2020
On geometrical structures, associated with linear differential operators of the 1st order. Zbl 1481.58018
Lychagin, Valentin
2020
Shock waves in Euler flows of gases. Zbl 1458.35316
Lychagin, V. V.; Roop, M. D.
2020
Contact geometry, measurement, and thermodynamics. Zbl 1428.53111
Lychagin, Valentin V.
2019
Phase transitions in filtration of Redlich-Kwong gases. Zbl 1420.35253
Lychagin, Valentin; Roop, Mikhail
2019
Gas flow with phase transitions: thermodynamics and the Navier-Stokes equations. Zbl 1428.35290
Gorinov, Anton A.; Lychagin, Valentin V.; Roop, Mikhail D.; Tychkov, Sergey N.
2019
On equivalence of third order linear differential operators on two-dimensional manifolds. Zbl 1428.58027
Lychagin, Valentin; Yumaguzhin, Valeriy
2019
Lectures on geometry of Monge-Ampère equations with Maple. Zbl 1447.35005
Kushner, Alexei; Lychagin, Valentin V.; Slovák, Jan
2019
Classification of the second order linear differential operators and differential equations. Zbl 1394.35017
Lychagin, Valentin; Yumaguzhin, Valeriy
2018
Differential invariants for spherical flows of a viscid fluid. Zbl 1388.53014
Duyunova, Anna; Lychagin, Valentin; Tychkov, Sergey
2018
Differential invariants for spherical layer flows of viscid fluids. Zbl 1472.53020
Duyunova, Anna; Lychagin, Valentin; Tychkov, Sergey
2018
Invariants for primary visual cortex. Zbl 1405.53038
2018
Differential invariants for spherical flows of inviscid fluid. Zbl 1397.37094
Duyunova, A. A.; Lychagin, V. V.; Tychkov, S. N.
2018
Classification of equations of state for viscous fluids. Zbl 1375.35370
Duyunova, A. A.; Lychagin, V. V.; Tychkov, S. N.
2017
Attractors in models of porous media flow. Zbl 1368.35038
Akhmetzyanov, A. V.; Kushner, A. G.; Lychagin, Valentin V.
2017
Differential invariants for plane flows of viscid fluids. Zbl 1373.37184
Duyunova, A.; Lychagin, Valentin; Tychkov, Sergey
2017
Differential invariants and exact solutions of the Einstein-Maxwell equation. Zbl 1364.83006
Lychagin, Valentin; Yumaguzhin, Valeriy
2017
Differential invariants for flows of viscid fluids. Zbl 1394.76038
Duyunova, Anna; Lychagin, Valentin; Tychkov, Sergey
2017
Mass and heat transport in the two-phase Buckley-Leverett model. Zbl 1360.80006
Akhmetzyanov, Atlas V.; Kushner, Alexei G.; Lychagin, Valentin V.
2017
Möbius invariants in image recognition. Zbl 1365.53014
2017
Differential invariants and exact solutions of the Einstein equations. Zbl 1371.35290
Lychagin, Valentin; Yumaguzhin, Valeriy
2017
Global Lie-Tresse theorem. Zbl 1347.53015
Kruglikov, Boris; Lychagin, Valentin
2016
Control of displacement front in a model of immiscible two-phase flow in porous media. Zbl 1349.76801
Akhmetzyanov, A. V.; Kushner, A. G.; Lychagin, Valentin V.
2016
Differential contra algebraic invariants: applications to classical algebraic problems. Zbl 1339.22011
Bibikov, P.; Lychagin, Valentin
2016
Invariants of projective actions and their application to recognition of fingerprints. Zbl 1342.58007
2016
Invariants in relativity theory. Zbl 1332.83034
Lychagin, V.; Yumaguzhin, V.
2015
Lobachevskian geometry in image recognition. Zbl 1332.53017
Konovenko, N.; Lychagin, V.
2015
On differential invariants of actions of semisimple Lie groups. Zbl 1298.22011
Bibikov, Pavel; Lychagin, Valentin
2014
Petrov invariants of Hamiltonian systems with a control parameter. Zbl 1282.93080
Kushner, A. G.; Lychagin, V. V.
2013
Geometric theory of special modes in the distributed-parameter control systems. Zbl 1297.93051
Akhmetzyanov, A. V.; Kushner, A. G.; Lychagin, V. V.
2013
On projective classification of algebraic curves. Zbl 1289.53022
2013
On abelian group actions and Galois quantizations. Zbl 1283.53080
Huru, H. L.; Lychagin, V. V.
2013
Classification of linear actions of algebraic groups on spaces of homogeneous forms. Zbl 1242.53013
Bibikov, P. V.; Lychagin, V. V.
2012
Petrov invariants for 1-D control Hamiltonian systems. Zbl 1296.37046
Kushner, Alexei G.; Lychagin, Valentin V.
2012
Quantizations of group actions. Zbl 1256.81067
Huru, Hilja L.; Lychagin, Valentin V.
2012
Cohomological uniqueness of the Cauchy problem solutions for the Einstein equation. Zbl 1245.83003
Lychagin, Valentin; Yumaguzhin, Valeriy
2012
On the Cauchy problem for the Einstein equation. Zbl 1260.35228
Lychagin, V. V.; Yumaguzhin, V. A.
2012
$$\mathrm{GL}_2(\mathbb C)$$-orbits of binary rational forms. Zbl 1258.13011
Bibikov, P.; Lychagin, V.
2011
Projective classification of binary and ternary forms. Zbl 1230.22011
Bibikov, Pavel; Lychagin, Valentin
2011
$$GL_{3}(\mathbb C)$$-orbits of ternary rational forms. Zbl 1237.53011
Bibikov, P. V.; Lychagin, V. V.
2011
On projective classification of plane curves. Zbl 1296.53031
2011
Feedback differential invariants. Zbl 1189.93035
Lychagin, Valentin
2010
Compatibility, multi-brackets and integrability of systems of PDEs. Zbl 1191.35187
Kruglikov, Boris; Lychagin, Valentin
2010
$$\text{GL}_{2}(\mathbb C)$$-orbits of binary forms. Zbl 1215.13005
Bibikov, P. V.; Lychagin, V. V.
2010
Geodesic webs on a two-dimensional manifold and Euler equations. Zbl 1207.53014
Goldberg, Vladislav V.; Lychagin, Valentin V.
2010
Samuelson’s webs. Zbl 1202.53020
Gol&rsquo;dberg, V. V.; Lychagin, V. V.
2010
On conformal equivalence of functions. Zbl 1240.53022
Lychagin, V. V.; Konovenko, N. G.
2010
Feedback equivalence of 1-dimensional control systems of the 1-st order. Zbl 1199.53033
Lychagin, V. V.
2009
On geometric structures of 2-dimensional gas dynamics equations. Zbl 1225.35010
Lychagin, V.; Yumaguzhin, V.
2009
Geodesic webs of hypersurfaces. Zbl 1183.53013
Goldberg, V. V.; Lychagin, V. V.
2009
On rank problems for planar webs and projective structures. Zbl 1186.53017
Goldberg, Vladislav V.; Lychagin, Valentin V.
2009
Minkowski metrics on solutions of the Khokhlov-Zabolotskaya equation. Zbl 1225.35011
Lychagin, V.; Yumaguzhin, V.
2009
Differential equations – Geometry, symmetries and integrability. The Abel symposium 2008. Proceedings of the fifth Abel symposium, Tromsø, Norway, June 17–22, 2008. Zbl 1170.34002
2009
Geometry of differential equations. Zbl 1236.58039
Kruglikov, Boris; Lychagin, Valentin
2008
Quantizations and classical non-commutative non-associative algebras. Zbl 1188.17012
Huru, Hilja Lisa; Lychagin, Valentin
2008
Contact geometry and nonlinear differential equations. Zbl 1122.53044
Kushner, Alexei; Lychagin, Valentin; Rubtsov, Vladimir
2007
Finite-dimensional dynamics for evolutionary equations. Zbl 1181.35244
Lychagin, Valentin; Lychagina, Olga
2007
Spencer $$\delta$$-cohomology, restrictions, characteristics and involutive symbolic PDEs. Zbl 1109.35366
Kruglikov, Boris; Lychagin, Valentin
2007
Abelian equations and rank problems for planar webs. Zbl 1298.53016
Goldberg, V. V.; Lychagin, V. V.
2007
Invariants of pseudogroup actions: homological methods and finiteness theorem. Zbl 1125.53011
Kruglikov, Boris; Lychagin, Valentin
2006
Mayer brackets and solvability of PDEs. II. Zbl 1093.35053
Kruglikov, Boris; Lychagin, Valentin
2006
On the Blaschke conjecture for 3-webs. Zbl 1104.53011
Goldberg, Vladislav V.; Lychagin, Valentin V.
2006
Dimension of the solutions space of PDEs. Zbl 1200.35194
Kruglikov, Boris; Lychagin, Valentin
2006
Multi-brackets of differential operators and compatibility of PDE systems. Zbl 1096.35094
Kruglikov, Boris; Lychagin, Valentin
2006
Maximum entropy wave functions. Zbl 1111.82025
Jakobsen, Per K.; Lychagin, Valentin V.
2006
On linearization of planar three-webs and Blaschke’s conjecture. Zbl 1102.53051
Goldberg, Vladislav V.; Lychagin, Valentin V.
2005
Linearizability of $$d$$-webs, $$d \geq 4$$, on two-dimensional manifolds. Zbl 1073.53021
Akivis, Maks A.; Goldberg, Vladislav V.; Lychagin, Valentin V.
2004
A compatibility criterion for systems of PDEs and generalized Lagrange-Charpit method. Zbl 1121.58004
Kruglikov, Boris; Lychagin, Valentin
2004
Mayer brackets and solvability of PDEs. I. Zbl 1026.35004
Kruglikov, Boris; Lychagin, Valentin
2002
Quantizations of differential equations. Zbl 1042.18500
Lychagin, Valentin
2001
Quantum mechanics on manifolds. Zbl 0930.35149
Lychagin, V.
1999
On equivalence of differential equations. Zbl 1122.35302
Kruglikov, Boris; Lychagin, Valentin
1999
Calculus and quantizations over Hopf algebras. Zbl 0914.18007
Lychagin, V.
1998
Colour calculus and colour quantizations. Zbl 0846.18006
Lychagin, V.
1995
Homogeneous geometric structures and homogeneous differential equations. Zbl 0843.58002
Lychagin, V.
1995
Singularities of Cauchy data, characteristics, cocharacteristics and integral cobordism. Zbl 0808.58039
Lychagin, V.; Prástaro, A.
1994
Braided differential operators and quantizations in $$ABC$$-categories. Zbl 0803.18005
Lychagin, Valentin
1994
Non-holonomic filtration: Algebraic and geometric aspects of non-integrability. Zbl 0889.58071
1994
A classification of Monge-Ampère equations. Zbl 0789.58078
Lychagin, V. V.; Rubtsov, V. N.; Chekalov, I. V.
1993
Spencer cohomology of invariant systems of differential equations on homogeneous spaces. Zbl 0818.58051
Zil&rsquo;berglejt, L. V.; Lychagin, V. V.
1993
Differential equations on two-dimensional manifolds. Zbl 0899.58062
Lychagin, V. V.
1992
Homogeneous structures on manifolds: Differential geometry from the point of view of differential equations. Zbl 0801.58043
Lychagin, V. V.
1992
Symmetries of distributions and quadrature of ordinary differential equations. Zbl 0739.34001
Duzhin, S. V.; Lychagin, V. V.
1991
Solvability of Fuchsian equations depending on a parameter. Zbl 0778.34005
Lychagin, V. V.
1991
Geometric theory of singularities of solutions of nonlinear differential equations. Zbl 1267.35056
Lychagin, V. V.
1990
Nonholonomic intermediate integrals of partial differential equations. Zbl 0788.35093
Lychagin, V. V.; Romanovskij, Yu. R.
1990
Basic ideas and concepts of differential geometry. Zbl 0735.53001
Alekseev, D. V.; Vinogradov, A. M.; Lychagin, V. V.
1988
Basic ideas and notions from differential geometry. Zbl 0675.53001
Alekseevskij, D. V.; Vinogradov, A. M.; Lychagin, V. V.
1988
Singularities of solutions, spectral sequences, and normal forms of Lie algebras of vector fields. Zbl 0675.58044
Lychagin, V. V.
1988
Singularities of solutions, spectral sequences and normal forms of Lie algebras of vector fields. Zbl 0643.58039
Lychagin, V. V.
1987
Geometry of jet spaces and nonlinear partial differential equations. Transl. from the Russian by A. B. Sosinskij. Zbl 0722.35001
Krasil&rsquo;shchik, I. S.; Lychagin, V. V.; Vinogradov, A. M.
1986
Introduction to the geometry of nonlinear differential equations. (Vvedenie v geometriyu nelinejnykh differentsial’nykh uravnenij). Zbl 0592.35002
Vinogradov, A. M.; Krasil&rsquo;shchik, I. S.; Lychagin, V. V.
1986
Topological aspects of geometrical theory of differential equations. Zbl 0603.58057
Lychagin, V. V.
1986
Singularities of multivalued solutions of nonlinear differential equations, and nonlinear phenomena. Zbl 0562.35008
Lychagin, V. V.
1985
Differential operators on fiber spaces. Zbl 0555.58029
Lychagin, V. V.
1985
...and 12 more Documents
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### Cited by 339 Authors

 83 Lychagin, Valentin V. 34 Kruglikov, Boris S. 32 Bibikov, Pavel Vitalievich 19 Yumaguzhin, Valeriy A. 18 Kushner, Alexei G. 14 Duyunova, Anna Andreevna 14 Prástaro, Agostino 13 Tychkov, Sergey N. 13 Vinogradov, Aleksandr Mikhaĭlovich 12 Morozov, Oleg I. 9 Manno, Gianni 7 Chetverikov, Vladimir N. 7 Roop, Mikhail D. 6 Goldberg, Vladislav V. 6 Krasil’shchik, Iosif Semënovich 6 Rubtsov, Vladimir Nikolaevich 5 Alekseevskiĭ, Dmitriĭ Vladimirovich 5 Banyaga, Augustin 5 Ferapontov, Evgeny Vladimirovich 5 Izumiya, Shyuichi 5 Konovenko, Nadiya G. 5 Tunitskiĭ, Dmitriĭ Vasil’evich 4 Akhmetzyanov, Atlas V. 4 Alonso-Blanco, Ricardo J. 4 Banos, Bertrand 4 Huru, Hilja Lisa 4 Kossowski, Marek 4 Krasil’shchik, Joseph 4 Moreno, Giovanni 4 Pugliese, Fabrizio 4 Schneider, Eivind 4 Seiler, Werner M. 4 Sergyeyev, Artur 4 Valiquette, Francis 4 Vitolo, Raffaele F. 3 Chrastinová, Veronika 3 Khavkine, Igor 3 Lévine, Jean 3 Morando, Paola 3 Nadjafikhah, Mehdi 3 Ollivier, François 3 Olver, Peter John 3 Ovsienko, Valentin Yu. 3 Tryhuk, Václav 3 Tyapin, Nikita A. 3 Verbovetsky, Alexander Moiseevich 3 Zilbergleit, Lev V. 2 Ahangari, Fatemeh 2 Anderson, Ian M. 2 Arias Amaya, Fabián A. 2 Arnaldsson, Örn 2 Beggs, Edwin J. 2 Bridges, Thomas J. 2 Ribeiro Castro, Alex Lúcio 2 Chardard, Frédéric 2 Chmutov, Sergei V. 2 Ciupală, Cătălin 2 Clelland, Jeanne Nielsen 2 Covolo, Tiffany 2 Dias, Frédéric 2 Doubrov, Boris M. 2 Fliess, Michel 2 Gümral, Hasan 2 Gutt, Jan 2 Ishikawa, Goo 2 Ivochkina, Nina Mikhaĭlovna 2 Kaptsov, Oleg Viktorovich 2 Karev, Maksim V. 2 Khovanskiĭ, Askold Georgievich 2 Kogan, Irina A. 2 Kong, Dexing 2 Konopelchenko, Boris Georgievich 2 Kulikov, A. N. 2 Kulikov, Dmitriĭ Anatol’evich 2 Lando, Sergei K. 2 Lelito, Aleksandra 2 Li, Bing 2 Lychagina, O. V. 2 Malakhaltsev, Mikhail Armenovich 2 Malakhov, Alexander 2 Marmo, Giuseppe 2 Martin, Philippe 2 Marvan, Michal 2 Matviichuk, Ruslan I. 2 McNutt, David Duncan 2 Mettler, Thomas 2 Mnëv, Nikolai Evgen’evich 2 Morier-Genoud, Sophie 2 Muzsnay, Zoltán 2 Ngakeu, Ferdinand 2 Novikov, Vladimir S. 2 Orlova, L. N. 2 Panina, Gaiane Yu. 2 Poncin, Norbert 2 Prykarpatsky, Anatoliy Karolevych 2 Rossi, Olga 2 Rouchon, Pierre 2 Sammarco, Serena 2 Scherbak, Inna 2 Seiß, Matthias ...and 239 more Authors
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### Cited in 112 Serials

 62 Journal of Geometry and Physics 32 Lobachevskii Journal of Mathematics 29 Differential Geometry and its Applications 28 Acta Applicandae Mathematicae 16 Mathematical Notes 14 Journal of Mathematical Sciences (New York) 14 Doklady Mathematics 14 Analysis and Mathematical Physics 12 Russian Mathematics 9 Journal of Mathematical Physics 8 Journal of Mathematical Analysis and Applications 8 Theoretical and Mathematical Physics 8 Journal of Soviet Mathematics 8 Automation and Remote Control 6 Advances in Mathematics 6 International Journal of Geometric Methods in Modern Physics 6 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 5 Journal of Differential Equations 5 Transactions of the American Mathematical Society 4 Communications in Mathematical Physics 4 Physics Letters. A 4 Reports on Mathematical Physics 4 Annals of Global Analysis and Geometry 4 Physica D 4 Differential Equations 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Letters in Mathematical Physics 3 Applied Mathematics and Computation 3 Functional Analysis and its Applications 3 Mathematical and Computer Modelling 3 International Journal of Mathematics 3 The Journal of Geometric Analysis 3 Journal of Dynamical and Control Systems 3 Journal of Nonlinear Mathematical Physics 3 Central European Journal of Mathematics 2 Classical and Quantum Gravity 2 Annales de l’Institut Fourier 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Czechoslovak Mathematical Journal 2 Duke Mathematical Journal 2 Matematički Vesnik 2 Monatshefte für Mathematik 2 Proceedings of the American Mathematical Society 2 Results in Mathematics 2 Systems & Control Letters 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Selecta Mathematica. New Series 2 Sbornik: Mathematics 2 Nonlinear Dynamics 2 Abstract and Applied Analysis 2 Nonlinear Analysis. Real World Applications 2 Journal of Geometric Mechanics 2 Mathematical Sciences 1 International Journal of Modern Physics A 1 Applicable Analysis 1 Israel Journal of Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Mathematische Semesterberichte 1 Nuclear Physics. B 1 Rocky Mountain Journal of Mathematics 1 Reviews in Mathematical Physics 1 Chaos, Solitons and Fractals 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Geometriae Dedicata 1 Publications Mathématiques 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Algebra 1 Journal of Computational and Applied Mathematics 1 Journal of Pure and Applied Algebra 1 Kodai Mathematical Journal 1 Manuscripta Mathematica 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Programming and Computer Software 1 Publications de l’Institut Mathématique. Nouvelle Série 1 Rendiconti del Seminario Matematico della Università di Padova 1 Siberian Mathematical Journal 1 Tokyo Journal of Mathematics 1 Advances in Applied Mathematics 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Journal of Symbolic Computation 1 Algorithmica 1 Computational Mathematics and Modeling 1 Mathematica Bohemica 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 Acta Mathematica Sinica. New Series 1 Journal of Knot Theory and its Ramifications 1 Vestnik St. Petersburg University. Mathematics 1 Topological Methods in Nonlinear Analysis 1 Izvestiya: Mathematics 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Regular and Chaotic Dynamics 1 Russian Physics Journal 1 Communications in Contemporary Mathematics 1 Dynamical Systems 1 Foundations of Computational Mathematics 1 Mathematics in Computer Science 1 Journal of Noncommutative Geometry ...and 12 more Serials
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### Cited in 43 Fields

 185 Partial differential equations (35-XX) 173 Differential geometry (53-XX) 166 Global analysis, analysis on manifolds (58-XX) 61 Dynamical systems and ergodic theory (37-XX) 45 Ordinary differential equations (34-XX) 39 Fluid mechanics (76-XX) 29 Nonassociative rings and algebras (17-XX) 21 Topological groups, Lie groups (22-XX) 19 Mechanics of particles and systems (70-XX) 16 Algebraic geometry (14-XX) 16 Manifolds and cell complexes (57-XX) 16 Relativity and gravitational theory (83-XX) 15 Associative rings and algebras (16-XX) 14 Several complex variables and analytic spaces (32-XX) 12 Commutative algebra (13-XX) 12 Quantum theory (81-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 11 Systems theory; control (93-XX) 9 Operator theory (47-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 7 Functional analysis (46-XX) 7 Algebraic topology (55-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 Computer science (68-XX) 5 Mechanics of deformable solids (74-XX) 4 Number theory (11-XX) 4 Category theory; homological algebra (18-XX) 3 Field theory and polynomials (12-XX) 3 Group theory and generalizations (20-XX) 3 Biology and other natural sciences (92-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Integral equations (45-XX) 2 Geometry (51-XX) 2 Convex and discrete geometry (52-XX) 2 Numerical analysis (65-XX) 1 Combinatorics (05-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Statistics (62-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)