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Treshchev, Dmitriĭ Valer’evich

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Author ID: treshchev.dmitrij-v Recent zbMATH articles by "Treshchev, Dmitriĭ Valer’evich"
Published as: Treschev, D. V.; Treshchev, D. V.; Treschev, D.; Treschev, Dmitry; Treschev, Dmitry V.; Treshchev, Dmitrij V.; Treshchëv, D. V.; Treschev, Dmitrii V.; Treschev, Dmitriĭ V.; Treshchev, Dmitry V.; Treshev, Dmitrij V.; Treschev, Dmitri
Homepage: http://www.mi.ras.ru/~treschev/index_e.html
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Co-Authors

36 single-authored
27 Kozlov, Valeriĭ Vasil’evich
9 Neĭshtadt, Anatoliĭ Iserovich
8 Bolotin, Sergeĭ Vladimirovich
5 Novikov, Sergeĭ Petrovich
4 Bukhshtaber, Viktor Matveevich
4 Simó, Carles
4 Zubelevich, Oleg Èduardovich
3 Anosov, Dmitriĭ Viktorovich
3 Borisov, Alekseĭ Vladimirovich
3 Davydov, Alekseĭ Aleksandrovich
3 Ilyashenko, Yulij Sergeevich
3 Kashin, Boris Sergeevich
3 Orlov, Dmitri O.
3 Osipov, Yuriĭ Sergeevich
3 Piftankin, G. N.
3 Pronin, Andrei V.
3 Sergeev, Armen Glebovich
3 Vasil’ev, Alekseĭ Alekseevich
2 Agrachev, Andreĭ Aleksandrovich
2 Aseev, Sergei M.
2 Beklemishev, Lev D.
2 Faddeev, Lyudvig Dmitrievich
2 Gonchar, Andreĭ Aleksandrovich
2 Konovalov, S. P.
2 Lando, Sergei K.
2 Lerman, Lev
2 Mamaev, Ivan Sergeevich
2 Parshin, Alexei N.
2 Pesin, Yakov Borisovich
2 Sadovnichiĭ, Viktor Antonovich
2 Shiryaev, Al’bert Nikolaevich
2 Shkalikov, Andreĭ Andreevich
2 Sidorenko, Vladislav V.
2 Sinaĭ, Yakov Grigor’evich
2 Turaev, Dmitry V.
2 Vasil’ev, Viktor Anatol’evich
2 Zajtsev, A. Yu.
1 Adyan, Sergeĭ Ivanovich
1 Afraimovich, Valentin S.
1 Akhmet’ev, Pëtr Mikhaĭlovich
1 Alexandrov, Victor A.
1 Anashkin, Oleg V.
1 Aptekarev, Alexander Ivanovich
1 Artem’ev, A. V.
1 Atabekyan, Varuzhan S.
1 Balandin, Dmitriĭ Vladimirovich
1 Barinova, M. K.
1 Belykh, Vladimir Nikitich
1 Besov, Konstantin O.
1 Bezdenezhnykh, A. N.
1 Biasco, Luca
1 Bogaevskij, Il’ya Aleksandrovich
1 Borodin, Petr A.
1 Bortakovskii, A. S.
1 Budak, A. B.
1 Bunimovich, Leonid Abramovich
1 Burlakov, Daniil
1 Chebochko, N. G.
1 Chierchia, Luigi
1 Chilina, E. E.
1 Chirka, Evgeni M.
1 Chubarikov, Vladimir Nikolaevich
1 Chugaĭnova, Anna Pavlova
1 Davletshin, Maksim Nikolaevich
1 Denisova, N. V.
1 Dobrokhotov, Sergei Yurievich
1 Dolbilin, Nikolaĭ Petrovich
1 Erokhovets, Nikolaĭ Yur’evich
1 Ershov, Yuriĭ Leonidovich
1 Fuchs, Dmitry Borisovich
1 Gaifullin, Alexander A.
1 Galkin, Oleg Evgen’evich
1 Galkina, Svetlana Yur’evna
1 Gamkrelidze, Revaz Valerianovich
1 Glysin, S. D.
1 Goncharov, Sergeĭ Savost’yanovich
1 Gonchenko, Sergey V.
1 Gorin, Evgeniĭ Alekseevich
1 Gorodetskii, Anton Semenovich
1 Goryunov, Victor V.
1 Grigorenko, Nikolaĭ Leont’evich
1 Grines, Vyacheslav Zigmundovich
1 Guba, Victor S.
1 Gubina, Elena V.
1 Gurevich, Elena Ya.
1 Gusein-Zade, Sabir M.
1 Ibragimov, Il’dar Abdullovich
1 Il’ichev, Andreĭ Teĭmurazovich
1 Isaenkova, Natal’ya Viktorovna
1 Ivanov, Simeon
1 Karapetyan, Aleksandr Vladilenovich
1 Kashchenko, Sergeĭ Aleksandrovich
1 Katok, Anatole
1 Kazakov, Alexey O.
1 Kesel’man, V. M.
1 Khovanskiĭ, Askold Georgievich
1 Kilin, Aleksandr Aleksandrovich
1 Kislyakov, Sergeĭ Vital’evich
1 Klimenko, Alexey V.
1 Kolesnikov, Alexander V.
...and 105 more Co-Authors

Publications by Year

Citations contained in zbMATH Open

76 Publications have been cited 731 times in 514 Documents Cited by Year
Billiards. A genetic introduction to the dynamics of systems with impacts. (Биллиарды. Генетическое введение в динамику систем с ударами.) Zbl 0751.70009
Kozlov, V. V.; Treshchev, D. V.
110
1991
Evolution of slow variables in a priori unstable Hamiltonian systems. Zbl 1075.37019
Treschev, D.
39
2004
The mechanism of destruction of resonance tori of Hamiltonian systems. Zbl 0737.58025
Treshchev, D. V.
33
1990
Unbounded growth of energy in nonautonomous Hamiltonian systems. Zbl 0989.37050
Bolotin, S.; Treschev, D.
30
1999
Introduction to the perturbation theory of Hamiltonian systems. Zbl 1181.37001
Treschev, Dmitry; Zubelevich, Oleg
27
2010
Billiard map and rigid rotation. Zbl 1417.37139
Treschev, D.
19
2013
Separatrix maps in Hamiltonian systems. Zbl 1151.37050
Piftankin, G. N.; Treshchev, D. V.
18
2007
Stable periodic motions in the problem on passage through a separatrix. Zbl 1002.34029
Neishtadt, A. I.; Sidorenko, V. V.; Treschev, D. V.
17
1997
Multidimensional symplectic separatrix maps. Zbl 1022.37041
Treschev, D.
17
2002
Billiards. A genetic introduction to the dynamics of systems with impacts. Transl. from the Russian by J. R. Schulenberger. Transl. ed. by Simeon Ivanov. Zbl 0729.34027
Kozlov, V. V.; Treshchev, D. V.
15
1991
Hyperbolic tori and asymptotic surfaces in Hamiltonian systems. Zbl 0910.58034
Treshev, Dmitrij V.
14
1994
Splitting of separatrices for a pendulum with rapidly oscillating suspension point. Zbl 0947.34034
Treschev, Dmitry V.
14
1997
Arnold diffusion far from strong resonances in multidimensional a priori unstable Hamiltonian systems. Zbl 1266.37026
Treschev, D.
14
2012
Hill’s formula. Zbl 1369.37085
Bolotin, S. V.; Treshchëv, D. V.
14
2010
On the integrability of Hamiltonian systems with toral position space. Zbl 0696.58022
Kozlov, V. V.; Treshchev, D. V.
13
1989
Trajectories in a neighbourhood of asymptotic surfaces of a priori unstable Hamiltonian systems. Zbl 1031.37052
Treschev, D.
13
2002
Remarks on the definition of hyperbolic tori of Hamiltonian systems. Zbl 1005.70015
Bolotin, S. V.; Treschev, D. V.
13
2000
On a conjugacy problem in billiard dynamics. Zbl 1359.37089
Treschev, D. V.
12
2015
Nonintegrability of general problem of rotation of a dynamically symmetrical heavy rigid body with a fixed point. Zbl 0701.70007
Kozlov, V. V.; Treshchev, D. V.
12
1986
On the Hamiltonian property of linear dynamical systems in Hilbert space. Zbl 06769031
Treshchev, D. V.; Shkalikov, A. A.
12
2017
The anti-integrable limit. Zbl 1361.37056
Bolotin, S. V.; Treschev, D. V.
12
2015
Width of stochastic layers in near-integrable two-dimensional symplectic maps. Zbl 1038.37049
Treschev, D.
11
1998
Lagrangian tori near resonances of near-integrable Hamiltonian systems. Zbl 1378.70021
Medvedev, A. G.; Neishtadt, A. I.; Treschev, D. V.
11
2015
Self-propulsion of a body with rigid surface and variable coefficient of lift in a perfect fluid. Zbl 1344.70031
Ramodanov, Sergey M.; Tenenev, Valentin A.; Treschev, Dmitry V.
10
2012
Weak convergence of solutions of the Liouville equation for nonlinear Hamiltonian systems. Zbl 1178.37050
Kozlov, V. V.; Treshchev, D. V.
10
2003
Fine-grained and coarse-grained entropy in problems of statistical mechanics. Zbl 1119.82005
Kozlov, V. V.; Treshchev, D. V.
9
2007
An averaging method for Hamiltonian systems, exponentially close to integrable ones. Zbl 1055.70509
Treschev, Dmitry V.
9
1996
Rolling of a rigid body without slipping and spinning: kinematics and dynamics. Zbl 1367.70006
Borisov, A. V.; Mamaev, I. S.; Treschev, D. V.
9
2013
Loss of stability in Hamiltonian systems that depend on parameters. Zbl 0799.58032
Treshchev, D. V.
9
1992
Polynomial integrals of Hamiltonian systems with exponential interaction. Zbl 0727.58018
Kozlov, V. V.; Treshchev, D. V.
8
1990
On stability loss delay for a periodic trajectory. Zbl 0844.34045
Neishtadt, A. I.; Simó, C.; Treschev, D. V.
8
1996
Oscillator and thermostat. Zbl 1209.70014
Treschev, Dmitry
8
2010
The method of continuous averaging in the problem of separation of fast and slow motions. Zbl 0923.34048
Treshchev, D. V.
8
1997
Stability islands in the vicinity of separatrices of near-integrable symplectic maps. Zbl 1153.37406
Simó, Carles; Treschev, Dmitri
8
2008
On the inclusion of analytic maps into analytic flows. Zbl 0921.58024
Pronin, Andrei V.; Treshchev, Dmitry V.
7
1997
Travelling waves in FPU lattices. Zbl 1060.37069
Treschev, Dmitry
7
2004
Remarks on polynomial integrals of higher degrees for reversible systems with toral configuration space. Zbl 1261.37023
Denisova, N. V.; Kozlov, V. V.; Treschev, D. V.
7
2012
Periodic orbits and stability islands in chaotic seas created by separatrix crossings in slow-fast systems. Zbl 1149.37032
Neishtadt, Anatoly; Simó, Carles; Treschev, Dmitry; Vasiliev, Alexei
7
2008
Continuous averaging in multi-frequency slow-fast systems. Zbl 0977.34040
Pronin, A. V.; Treschev, D. V.
7
2000
A locally integrable multi-dimensional billiard system. Zbl 1368.37063
Treschev, Dmitry
6
2017
Polynomial conservation laws in quantum systems. Zbl 1178.81158
Kozlov, V. V.; Treshchev, D. V.
6
2004
Stability of nearly integrable, degenerate Hamiltonian systems with two degrees of freedom. Zbl 1095.37027
Biasco, L.; Chierchia, L.; Treschev, D.
5
2006
On new forms of the ergodic theorem. Zbl 1021.37004
Kozlov, V. V.; Treschev, D. V.
5
2003
Invariant tori in Hamiltonian systems with two degrees of freedom in a neighborhood of a resonance. Zbl 0942.37042
Treschev, D.; Zubelevich, O.
5
1998
Ball on a viscoelastic plane. Zbl 1293.35329
Zobova, A. A.; Treschev, D. V.
5
2013
Topology of the configuration space, singularities of the potential, and polynomial integrals of equations of dynamics. Zbl 1403.70009
Kozlov, Valery V.; Treschev, Dmitrii V.
5
2016
Polynomial integrals of Hamiltonian systems with exponential interaction. Zbl 0684.58012
Kozlov, V. V.; Treshchev, D. V.
4
1989
Billiard transformations of parallel flows: a periscope theorem. Zbl 1373.49053
Plakhov, Alexander; Tabachnikov, Serge; Treschev, Dmitry
4
2017
Evolution of measures in the phase space of nonlinear Hamiltonian systems. Zbl 1178.37049
Kozlov, V. V.; Treshchev, D. V.
4
2003
Dynamics in a neighborhood of separatrices of an area-preserving map. Zbl 0929.37002
Treschev, Dmitry
4
1998
Coarse-grained entropy in dynamical systems. Zbl 1203.37008
Piftankin, G.; Treschev, D.
4
2010
A rigid body on a surface with random roughness. Zbl 1309.70006
Burlakov, Daniil; Treschev, Dmitry
4
2014
Connection of the Morse index of a closed geodesic line with its stability. Zbl 0805.58018
Treshchev, D. V.
4
1988
Volume preserving diffeomorphisms as Poincaré maps for volume preserving flows. Zbl 1444.37018
Treschev, Dmitriĭ V.
3
2020
On the question of the stability of the periodic trajectories of Birkhoff’s billiard. Zbl 0667.58033
Treshchev, D. V.
3
1988
On local integrability in billiard dynamics. Zbl 1423.37053
Schastnyy, V.; Treschev, D.
3
2019
Stability islands in domains of separatrix crossings in slow-fast Hamiltonian systems. Zbl 1153.37397
Vasiliev, A. A.; Neishtadt, A. I.; Simó, C.; Treschev, D. V.
3
2007
Closures of asymptotic curves in a two-dimensional symplectic map. Zbl 0943.37011
Treschev, D.
3
1998
Polymorphisms and adiabatic chaos. Zbl 1209.37035
Neishtadt, A.; Treschev, D.
3
2011
Relative version of the Titchmarsh convolution theorem. Zbl 1281.44007
Gorin, E. A.; Treschev, D. V.
3
2012
Gibbs entropy and dynamics. Zbl 1307.37002
Piftankin, G.; Treschev, D.
3
2008
Quantum observables: an algebraic aspect. Zbl 1138.81458
Treshchev, D. V.
2
2005
Kowalewski numbers of generalized Toda chains. Zbl 0686.58033
Kozlov, V. V.; Treshchev, D. V.
2
1989
Instability, asymptotic trajectories and dimension of the phase space. Zbl 1416.37030
Kozlov, V. V.; Treschev, D. V.
2
2018
Noncommutative structures. Zbl 1161.58006
Treschev, D. V.
2
2007
Instability of isolated equilibria of dynamical systems with invariant measure in spaces of odd dimension. Zbl 0962.34036
Kozlov, V. V.; Treshchev, D. V.
2
1999
Continuous averaging in dynamical systems. Zbl 1033.37012
Treschev, D.
2
2002
Loss of stability of periodic trajectories in Hamiltonian systems depending on parameter by a multiple collision at point \(-1\). Zbl 0884.70022
Zajtsev, A. Yu.; Treshchev, D. V.
1
1996
On the conservation of invariant manifolds for Hamiltonian systems under perturbation. Zbl 0747.58033
Treshchev, D. V.
1
1991
\( \mu \)-norm of an operator. Zbl 1453.81020
Treschev, D. V.
1
2020
Weak convergence of measures in conservative systems. Zbl 1120.37002
Kozlov, V. V.; Treschev, D. V.
1
2005
Kovalevskaya numbers of generalized Toda chains. Zbl 0702.58066
Kozlov, V. V.; Treshchev, D. V.
1
1989
An estimate of irremovable nonconstant terms in the reducibility problem. Zbl 0838.34010
Treshchev, Dmitrij V.
1
1995
On the inclusion of a map into a flow. Zbl 1375.37057
Saulin, Sergey M.; Treschev, Dmitry V.
1
2016
In memory of Evgenii Frolovich Mishchenko. Zbl 1302.01048
Osipov, Yu. S.; Kozlov, V. V.; Faddeev, L. D.; Anosov, D. V.; Vladimirov, V. S.; Gamkrelidze, R. V.; Gonchar, A. A.; Krasovskii, N. N.; Kryazhimskii, A. V.; Kurzhanski, A. B.; Novikov, S. P.; Aseev, S. M.; Zhizhchenko, A. B.; Treschev, D. V.; Agrachev, A. A.; Volkov, E. A.; Grigorenko, N. L.; Davydov, A. A.; Zelikin, M. I.; Kolesov, A. Yu.; Mal’tsev, A. A.; Nikol’skii, M. S.; Rozov, N. Kh.; Sergeev, A. G.; Besov, K. O.; Konovalov, S. P.
1
2010
Isochronicity in 1 DOF. Zbl 1484.34099
Treschev, Dmitry V.
1
2022
Isochronicity in 1 DOF. Zbl 1484.34099
Treschev, Dmitry V.
1
2022
Volume preserving diffeomorphisms as Poincaré maps for volume preserving flows. Zbl 1444.37018
Treschev, Dmitriĭ V.
3
2020
\( \mu \)-norm of an operator. Zbl 1453.81020
Treschev, D. V.
1
2020
On local integrability in billiard dynamics. Zbl 1423.37053
Schastnyy, V.; Treschev, D.
3
2019
Instability, asymptotic trajectories and dimension of the phase space. Zbl 1416.37030
Kozlov, V. V.; Treschev, D. V.
2
2018
On the Hamiltonian property of linear dynamical systems in Hilbert space. Zbl 06769031
Treshchev, D. V.; Shkalikov, A. A.
12
2017
A locally integrable multi-dimensional billiard system. Zbl 1368.37063
Treschev, Dmitry
6
2017
Billiard transformations of parallel flows: a periscope theorem. Zbl 1373.49053
Plakhov, Alexander; Tabachnikov, Serge; Treschev, Dmitry
4
2017
Topology of the configuration space, singularities of the potential, and polynomial integrals of equations of dynamics. Zbl 1403.70009
Kozlov, Valery V.; Treschev, Dmitrii V.
5
2016
On the inclusion of a map into a flow. Zbl 1375.37057
Saulin, Sergey M.; Treschev, Dmitry V.
1
2016
On a conjugacy problem in billiard dynamics. Zbl 1359.37089
Treschev, D. V.
12
2015
The anti-integrable limit. Zbl 1361.37056
Bolotin, S. V.; Treschev, D. V.
12
2015
Lagrangian tori near resonances of near-integrable Hamiltonian systems. Zbl 1378.70021
Medvedev, A. G.; Neishtadt, A. I.; Treschev, D. V.
11
2015
A rigid body on a surface with random roughness. Zbl 1309.70006
Burlakov, Daniil; Treschev, Dmitry
4
2014
Billiard map and rigid rotation. Zbl 1417.37139
Treschev, D.
19
2013
Rolling of a rigid body without slipping and spinning: kinematics and dynamics. Zbl 1367.70006
Borisov, A. V.; Mamaev, I. S.; Treschev, D. V.
9
2013
Ball on a viscoelastic plane. Zbl 1293.35329
Zobova, A. A.; Treschev, D. V.
5
2013
Arnold diffusion far from strong resonances in multidimensional a priori unstable Hamiltonian systems. Zbl 1266.37026
Treschev, D.
14
2012
Self-propulsion of a body with rigid surface and variable coefficient of lift in a perfect fluid. Zbl 1344.70031
Ramodanov, Sergey M.; Tenenev, Valentin A.; Treschev, Dmitry V.
10
2012
Remarks on polynomial integrals of higher degrees for reversible systems with toral configuration space. Zbl 1261.37023
Denisova, N. V.; Kozlov, V. V.; Treschev, D. V.
7
2012
Relative version of the Titchmarsh convolution theorem. Zbl 1281.44007
Gorin, E. A.; Treschev, D. V.
3
2012
Polymorphisms and adiabatic chaos. Zbl 1209.37035
Neishtadt, A.; Treschev, D.
3
2011
Introduction to the perturbation theory of Hamiltonian systems. Zbl 1181.37001
Treschev, Dmitry; Zubelevich, Oleg
27
2010
Hill’s formula. Zbl 1369.37085
Bolotin, S. V.; Treshchëv, D. V.
14
2010
Oscillator and thermostat. Zbl 1209.70014
Treschev, Dmitry
8
2010
Coarse-grained entropy in dynamical systems. Zbl 1203.37008
Piftankin, G.; Treschev, D.
4
2010
In memory of Evgenii Frolovich Mishchenko. Zbl 1302.01048
Osipov, Yu. S.; Kozlov, V. V.; Faddeev, L. D.; Anosov, D. V.; Vladimirov, V. S.; Gamkrelidze, R. V.; Gonchar, A. A.; Krasovskii, N. N.; Kryazhimskii, A. V.; Kurzhanski, A. B.; Novikov, S. P.; Aseev, S. M.; Zhizhchenko, A. B.; Treschev, D. V.; Agrachev, A. A.; Volkov, E. A.; Grigorenko, N. L.; Davydov, A. A.; Zelikin, M. I.; Kolesov, A. Yu.; Mal’tsev, A. A.; Nikol’skii, M. S.; Rozov, N. Kh.; Sergeev, A. G.; Besov, K. O.; Konovalov, S. P.
1
2010
Stability islands in the vicinity of separatrices of near-integrable symplectic maps. Zbl 1153.37406
Simó, Carles; Treschev, Dmitri
8
2008
Periodic orbits and stability islands in chaotic seas created by separatrix crossings in slow-fast systems. Zbl 1149.37032
Neishtadt, Anatoly; Simó, Carles; Treschev, Dmitry; Vasiliev, Alexei
7
2008
Gibbs entropy and dynamics. Zbl 1307.37002
Piftankin, G.; Treschev, D.
3
2008
Separatrix maps in Hamiltonian systems. Zbl 1151.37050
Piftankin, G. N.; Treshchev, D. V.
18
2007
Fine-grained and coarse-grained entropy in problems of statistical mechanics. Zbl 1119.82005
Kozlov, V. V.; Treshchev, D. V.
9
2007
Stability islands in domains of separatrix crossings in slow-fast Hamiltonian systems. Zbl 1153.37397
Vasiliev, A. A.; Neishtadt, A. I.; Simó, C.; Treschev, D. V.
3
2007
Noncommutative structures. Zbl 1161.58006
Treschev, D. V.
2
2007
Stability of nearly integrable, degenerate Hamiltonian systems with two degrees of freedom. Zbl 1095.37027
Biasco, L.; Chierchia, L.; Treschev, D.
5
2006
Quantum observables: an algebraic aspect. Zbl 1138.81458
Treshchev, D. V.
2
2005
Weak convergence of measures in conservative systems. Zbl 1120.37002
Kozlov, V. V.; Treschev, D. V.
1
2005
Evolution of slow variables in a priori unstable Hamiltonian systems. Zbl 1075.37019
Treschev, D.
39
2004
Travelling waves in FPU lattices. Zbl 1060.37069
Treschev, Dmitry
7
2004
Polynomial conservation laws in quantum systems. Zbl 1178.81158
Kozlov, V. V.; Treshchev, D. V.
6
2004
Weak convergence of solutions of the Liouville equation for nonlinear Hamiltonian systems. Zbl 1178.37050
Kozlov, V. V.; Treshchev, D. V.
10
2003
On new forms of the ergodic theorem. Zbl 1021.37004
Kozlov, V. V.; Treschev, D. V.
5
2003
Evolution of measures in the phase space of nonlinear Hamiltonian systems. Zbl 1178.37049
Kozlov, V. V.; Treshchev, D. V.
4
2003
Multidimensional symplectic separatrix maps. Zbl 1022.37041
Treschev, D.
17
2002
Trajectories in a neighbourhood of asymptotic surfaces of a priori unstable Hamiltonian systems. Zbl 1031.37052
Treschev, D.
13
2002
Continuous averaging in dynamical systems. Zbl 1033.37012
Treschev, D.
2
2002
Remarks on the definition of hyperbolic tori of Hamiltonian systems. Zbl 1005.70015
Bolotin, S. V.; Treschev, D. V.
13
2000
Continuous averaging in multi-frequency slow-fast systems. Zbl 0977.34040
Pronin, A. V.; Treschev, D. V.
7
2000
Unbounded growth of energy in nonautonomous Hamiltonian systems. Zbl 0989.37050
Bolotin, S.; Treschev, D.
30
1999
Instability of isolated equilibria of dynamical systems with invariant measure in spaces of odd dimension. Zbl 0962.34036
Kozlov, V. V.; Treshchev, D. V.
2
1999
Width of stochastic layers in near-integrable two-dimensional symplectic maps. Zbl 1038.37049
Treschev, D.
11
1998
Invariant tori in Hamiltonian systems with two degrees of freedom in a neighborhood of a resonance. Zbl 0942.37042
Treschev, D.; Zubelevich, O.
5
1998
Dynamics in a neighborhood of separatrices of an area-preserving map. Zbl 0929.37002
Treschev, Dmitry
4
1998
Closures of asymptotic curves in a two-dimensional symplectic map. Zbl 0943.37011
Treschev, D.
3
1998
Stable periodic motions in the problem on passage through a separatrix. Zbl 1002.34029
Neishtadt, A. I.; Sidorenko, V. V.; Treschev, D. V.
17
1997
Splitting of separatrices for a pendulum with rapidly oscillating suspension point. Zbl 0947.34034
Treschev, Dmitry V.
14
1997
The method of continuous averaging in the problem of separation of fast and slow motions. Zbl 0923.34048
Treshchev, D. V.
8
1997
On the inclusion of analytic maps into analytic flows. Zbl 0921.58024
Pronin, Andrei V.; Treshchev, Dmitry V.
7
1997
An averaging method for Hamiltonian systems, exponentially close to integrable ones. Zbl 1055.70509
Treschev, Dmitry V.
9
1996
On stability loss delay for a periodic trajectory. Zbl 0844.34045
Neishtadt, A. I.; Simó, C.; Treschev, D. V.
8
1996
Loss of stability of periodic trajectories in Hamiltonian systems depending on parameter by a multiple collision at point \(-1\). Zbl 0884.70022
Zajtsev, A. Yu.; Treshchev, D. V.
1
1996
An estimate of irremovable nonconstant terms in the reducibility problem. Zbl 0838.34010
Treshchev, Dmitrij V.
1
1995
Hyperbolic tori and asymptotic surfaces in Hamiltonian systems. Zbl 0910.58034
Treshev, Dmitrij V.
14
1994
Loss of stability in Hamiltonian systems that depend on parameters. Zbl 0799.58032
Treshchev, D. V.
9
1992
Billiards. A genetic introduction to the dynamics of systems with impacts. (Биллиарды. Генетическое введение в динамику систем с ударами.) Zbl 0751.70009
Kozlov, V. V.; Treshchev, D. V.
110
1991
Billiards. A genetic introduction to the dynamics of systems with impacts. Transl. from the Russian by J. R. Schulenberger. Transl. ed. by Simeon Ivanov. Zbl 0729.34027
Kozlov, V. V.; Treshchev, D. V.
15
1991
On the conservation of invariant manifolds for Hamiltonian systems under perturbation. Zbl 0747.58033
Treshchev, D. V.
1
1991
The mechanism of destruction of resonance tori of Hamiltonian systems. Zbl 0737.58025
Treshchev, D. V.
33
1990
Polynomial integrals of Hamiltonian systems with exponential interaction. Zbl 0727.58018
Kozlov, V. V.; Treshchev, D. V.
8
1990
On the integrability of Hamiltonian systems with toral position space. Zbl 0696.58022
Kozlov, V. V.; Treshchev, D. V.
13
1989
Polynomial integrals of Hamiltonian systems with exponential interaction. Zbl 0684.58012
Kozlov, V. V.; Treshchev, D. V.
4
1989
Kowalewski numbers of generalized Toda chains. Zbl 0686.58033
Kozlov, V. V.; Treshchev, D. V.
2
1989
Kovalevskaya numbers of generalized Toda chains. Zbl 0702.58066
Kozlov, V. V.; Treshchev, D. V.
1
1989
Connection of the Morse index of a closed geodesic line with its stability. Zbl 0805.58018
Treshchev, D. V.
4
1988
On the question of the stability of the periodic trajectories of Birkhoff’s billiard. Zbl 0667.58033
Treshchev, D. V.
3
1988
Nonintegrability of general problem of rotation of a dynamically symmetrical heavy rigid body with a fixed point. Zbl 0701.70007
Kozlov, V. V.; Treshchev, D. V.
12
1986
all top 5

Cited by 462 Authors

22 Kozlov, Valeriĭ Vasil’evich
18 Mamaev, Ivan Sergeevich
17 Treshchev, Dmitriĭ Valer’evich
16 Delshams, Amadeu
16 Vedyushkina, Viktoriya Viktorovna
14 Fomenko, Anatoliĭ Timofeevich
14 M-Seara, Tere
13 Borisov, Alekseĭ Vladimirovich
12 de la Llave, Rafael
12 Kilin, Aleksandr Aleksandrovich
11 Bialy, Misha
11 Kaloshin, Vadim Yu.
10 Mironov, Andreĭ Evgen’evich
10 Turaev, Dmitry V.
9 Bolotin, Sergeĭ Vladimirovich
9 Cheng, Chong-Qing
9 Rom-Kedar, Vered
9 Simó, Carles
8 Hu, Xijun
8 Vetchanin, Evgeniĭ Vladimirovich
7 Gidea, Marian
7 Guardia, Marcel
7 Neĭshtadt, Anatoliĭ Iserovich
6 Dragović, Vladimir
6 Fontich, Ernest
6 Gelfreich, Vassili
6 Gutiérrez, Pere
6 Guzzo, Massimiliano
6 Li, Yong
6 Ramírez-Ros, Rafael
6 Tabachnikov, Serge L.
5 Bizyaev, Ivan Alekseevich
5 Bogachev, Vladimir Igorevich
5 Burov, Aleksandr Anatol’evich
5 Fokicheva, Victoria V.
5 Galyaev, Andrey A.
5 Lerman, Lev
5 Markeev, Anatoliĭ Pavlovich
5 Radnović, Milena
5 Wang, Penghui
5 Wiggins, Stephen
5 Yi, Yingfei
4 Agapov, Sergei Vadimovich
4 Bounemoura, Abed Bounemoura
4 Damianou, Pantelis Andrea
4 Dymov, Andrey V.
4 Gonchenko, Marina S.
4 Karavaev, Yurĭ Leonidovich
4 Lega, Elena
4 Maciejewski, Andrzej J.
4 Niederman, Laurent
4 Pivovarova, Elena Nikolaevna
4 Sevryuk, Mikhail Borisovich
4 Sorrentino, Alfonso
4 Vasil’ev, Alekseĭ Alekseevich
4 Vidal, Claudio
4 Vieiro, Arturo
4 Zobova, Alexandra A.
4 Zubelevich, Oleg Èduardovich
3 Baldomá, Inmaculada
3 Bernard, Patrick
3 Biasco, Luca
3 Bolsinov, Alexey V.
3 Chierchia, Luigi
3 Féjoz, Jacques
3 Froeschlé, Claude
3 Gasiorek, Sean
3 Haller, George
3 Ivanov, Aleksandr Pavlovich
3 Kholostova, Ol’ga Vladimirovna
3 Martín, Pau
3 Meiss, James D.
3 Paleari, Simone
3 Penati, Tiziano
3 Peralta-Salas, Daniel
3 Przybylska, Maria
3 Qian, Weichao
3 Sansottera, Marco
3 Saulin, Sergeĭ Mikhaĭlovich
3 Trushechkin, Anton Sergeevich
3 Volovich, Igor’ Vasil’evich
3 Xu, Junxiang
3 Yang, Ran
3 Yang, Xue
3 Zelditch, Steve
2 Adzhiev, S. Z.
2 Andrade, Jaime
2 Anikin, A. Yu.
2 Brogliato, Bernard
2 Butler, Leo T.
2 Castejón, Oriol
2 Cresson, Jacky
2 Danesi, Veronica
2 Davletshin, Maksim Nikolaevich
2 Deng, Yanxia
2 Dobrokhotov, Sergei Yurievich
2 Erdakova, Nadezhda N.
2 Gajić, Borislav
2 Gentile, Guido
2 Glutsyuk, Alexey A.
...and 362 more Authors
all top 5

Cited in 121 Serials

69 Regular and Chaotic Dynamics
26 Physica D
25 Journal of Differential Equations
23 Proceedings of the Steklov Institute of Mathematics
19 Chaos
16 Nonlinearity
15 Doklady Mathematics
13 Communications in Mathematical Physics
13 Mathematical Notes
12 Journal of Applied Mathematics and Mechanics
12 Russian Mathematical Surveys
12 Prikladnaya Matematika i Mekhanika
11 Russian Journal of Mathematical Physics
10 Theoretical and Mathematical Physics
10 Discrete and Continuous Dynamical Systems
8 Moscow University Mathematics Bulletin
8 Ergodic Theory and Dynamical Systems
8 Journal of Nonlinear Science
7 Advances in Mathematics
6 Journal of Geometry and Physics
6 Journal of Mathematical Sciences (New York)
6 Sbornik: Mathematics
6 Annales Henri Poincaré
5 Automation and Remote Control
5 Celestial Mechanics and Dynamical Astronomy
5 Journal of Dynamics and Differential Equations
5 Russian Journal of Nonlinear Dynamics
4 Archive for Rational Mechanics and Analysis
4 Journal of Statistical Physics
4 Annals of Mathematics. Second Series
4 Communications in Nonlinear Science and Numerical Simulation
3 Chaos, Solitons and Fractals
3 Functional Analysis and its Applications
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Pacific Journal of Mathematics
3 Proceedings of the American Mathematical Society
3 Transactions of the American Mathematical Society
3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
3 Experimental Mathematics
3 Journal of the European Mathematical Society (JEMS)
3 Differential Equations
3 SIAM Journal on Applied Dynamical Systems
3 Science China. Mathematics
3 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
2 Journal of Mathematical Analysis and Applications
2 Journal of Mathematical Physics
2 Physica A
2 Annales de l’Institut Fourier
2 Inventiones Mathematicae
2 Mathematische Annalen
2 Siberian Mathematical Journal
2 Transactions of the Moscow Mathematical Society
2 Geometric and Functional Analysis. GAFA
2 Annals of Physics
2 Annales de l’Institut Henri Poincaré. Physique Théorique
2 Multibody System Dynamics
2 Journal of Dynamical and Control Systems
2 Lobachevskii Journal of Mathematics
2 Qualitative Theory of Dynamical Systems
2 Theoretical and Applied Mechanics
2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 International Journal of Modern Physics B
1 Acta Mechanica
1 Applicable Analysis
1 Classical and Quantum Gravity
1 Communications on Pure and Applied Mathematics
1 International Journal of Theoretical Physics
1 Israel Journal of Mathematics
1 Journal of Mathematical Biology
1 Moscow University Mechanics Bulletin
1 Physics Reports
1 Reviews in Mathematical Physics
1 Acta Mathematica
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Automatica
1 Colloquium Mathematicum
1 Duke Mathematical Journal
1 Glasgow Mathematical Journal
1 Journal of Functional Analysis
1 Manuscripta Mathematica
1 Mathematische Zeitschrift
1 Memoirs of the American Mathematical Society
1 Zeitschrift für Analysis und ihre Anwendungen
1 Journal of the American Mathematical Society
1 Asymptotic Analysis
1 European Journal of Applied Mathematics
1 Computational Mathematics and Modeling
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 The Annals of Applied Probability
1 Numerical Algorithms
1 L’Enseignement Mathématique. 2e Série
1 European Journal of Operational Research
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Bulletin of the American Mathematical Society. New Series
1 Chinese Science Bulletin
1 Archive of Applied Mechanics
1 Vestnik St. Petersburg University. Mathematics
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Physics of Fluids
1 St. Petersburg Mathematical Journal
...and 21 more Serials
all top 5

Cited in 39 Fields

362 Dynamical systems and ergodic theory (37-XX)
229 Mechanics of particles and systems (70-XX)
73 Ordinary differential equations (34-XX)
33 Partial differential equations (35-XX)
28 Differential geometry (53-XX)
27 Statistical mechanics, structure of matter (82-XX)
19 Fluid mechanics (76-XX)
19 Quantum theory (81-XX)
18 Global analysis, analysis on manifolds (58-XX)
11 Optics, electromagnetic theory (78-XX)
10 Operator theory (47-XX)
9 Probability theory and stochastic processes (60-XX)
9 Mechanics of deformable solids (74-XX)
8 Algebraic geometry (14-XX)
8 Calculus of variations and optimal control; optimization (49-XX)
8 Numerical analysis (65-XX)
7 Convex and discrete geometry (52-XX)
5 Biology and other natural sciences (92-XX)
5 Systems theory; control (93-XX)
4 Measure and integration (28-XX)
3 History and biography (01-XX)
3 Functional analysis (46-XX)
3 Classical thermodynamics, heat transfer (80-XX)
3 Relativity and gravitational theory (83-XX)
2 Nonassociative rings and algebras (17-XX)
2 Real functions (26-XX)
2 Special functions (33-XX)
2 Difference and functional equations (39-XX)
2 Integral equations (45-XX)
2 Geometry (51-XX)
2 Algebraic topology (55-XX)
2 Statistics (62-XX)
1 Field theory and polynomials (12-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Approximations and expansions (41-XX)
1 Integral transforms, operational calculus (44-XX)
1 General topology (54-XX)
1 Astronomy and astrophysics (85-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year

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