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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
External Links: Wikidata · Math-Net.Ru · IdRef
Documents Indexed: 100 Publications since 1986, including 4 Books
all top 5

Co-Authors

34 single-authored
26 Kozlov, Valeriĭ Vasil’evich
8 Bolotin, Sergeĭ Vladimirovich
8 Neĭshtadt, Anatoliĭ Iserovich
5 Novikov, Sergeĭ Petrovich
4 Bukhshtaber, Viktor Matveevich
4 Simó, Carles
4 Zubelevich, Oleg Èduardovich
3 Anosov, Dmitriĭ Viktorovich
3 Borisov, Alekseĭ Vladimirovich
3 Konovalov, S. P.
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 Davydov, Alekseĭ Aleksandrovich
2 Faddeev, Lyudvig Dmitrievich
2 Gonchar, Andreĭ Aleksandrovich
2 Ilyashenko, Yulij Sergeevich
2 Kashin, Boris Sergeevich
2 Mamaev, Ivan Sergeevich
2 Parshin, Alexei N.
2 Sadovnichiĭ, Viktor Antonovich
2 Sidorenko, Vladislav V.
2 Sinaĭ, Yakov Grigor’evich
2 Vasil’ev, Viktor Anatol’evich
2 Zajtsev, A. Yu.
1 Adyan, Sergeĭ Ivanovich
1 Afraimovich, Valentin S.
1 Alexandrov, Victor A.
1 Aptekarev, Alexander Ivanovich
1 Artem’ev, A. V.
1 Atabekyan, Varuzhan S.
1 Besov, Konstantin O.
1 Biasco, Luca
1 Bogaevskij, Il’ya Aleksandrovich
1 Bortakovskii, A. S.
1 Budak, A. B.
1 Bunimovich, Leonid Abramovich
1 Burlakov, Daniil
1 Chierchia, Luigi
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 Gamkrelidze, Revaz Valerianovich
1 Goncharov, Sergeĭ Savost’yanovich
1 Gonchenko, Sergey V.
1 Gorin, Evgeniĭ Alekseevich
1 Goryunov, Victor V.
1 Grigorenko, Nikolaĭ Leont’evich
1 Grines, Vyacheslav Zigmundovich
1 Gromov, Mikhael Leonidovich
1 Guba, Victor S.
1 Gusein-Zade, Sabir M.
1 Il’ichev, Andreĭ Teĭmurazovich
1 Karapetyan, Aleksandr Vladilenovich
1 Kashchenko, Sergeĭ Aleksandrovich
1 Katok, Anatole B.
1 Kesel’man, V. M.
1 Khovanskiĭ, Askold Georgievich
1 Kilin, Aleksandr Aleksandrovich
1 Kislyakov, Sergeĭ Vital’evich
1 Kolesov, Andreĭ Yur’evich
1 Kontsevich, Maxim Lvovich
1 Kovalev, Mikhail D.
1 Krasovskiĭ, Nikolaĭ Nikolaevich
1 Krichever, Igor’ Moiseevich
1 Kruzhilin, Nikolai Georgievich
1 Kryazhimskiĭ, Arkadiĭ Viktorovich
1 Kurzhanskiĭ, Aleksandr Borisovich
1 Lando, Sergei K.
1 Lerman, Lev
1 Lysenok, Igor’ Geront’evich
1 Makarov, V. S.
1 Mal’tsev, Arkadiĭ Anatol’evich
1 Manin, Yuri Ivanovich
1 Margulis, Grigoriĭ Aleksandrovich
1 Matiyasevich, Yuriĭ Vladimirovich
1 Medvedev, A. G.
1 Mishchenko, Evgeniĭ Frolovich
1 Morozov, Al’bert Dmitrievich
1 Nemirovskiĭ, Stefan Yur’evich
1 Nikitin, Ivan P.
1 Nikol’skiĭ, Mikhaĭl Sergeevich
1 Novik, A. O.
1 Pentus, Mati
1 Pesin, Yakov Borisovich
1 Petrukovich, A. A.
...and 38 more Co-Authors

Publications by Year

Citations contained in zbMATH Open

74 Publications have been cited 687 times in 490 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.
102
1991
Evolution of slow variables in a priori unstable Hamiltonian systems. Zbl 1075.37019
Treschev, D.
37
2004
The mechanism of destruction of resonance tori of Hamiltonian systems. Zbl 0737.58025
Treshchev, D. V.
32
1990
Unbounded growth of energy in nonautonomous Hamiltonian systems. Zbl 0989.37050
Bolotin, S.; Treschev, D.
29
1999
Introduction to the perturbation theory of Hamiltonian systems. Zbl 1181.37001
Treschev, Dmitry; Zubelevich, Oleg
25
2010
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
Separatrix maps in Hamiltonian systems. Zbl 1151.37050
Piftankin, G. N.; Treshchev, D. V.
17
2007
Billiard map and rigid rotation. Zbl 1417.37139
Treschev, D.
16
2013
Arnold diffusion far from strong resonances in multidimensional a priori unstable Hamiltonian systems. Zbl 1266.37026
Treschev, D.
14
2012
Remarks on the definition of hyperbolic tori of Hamiltonian systems. Zbl 1005.70015
Bolotin, S. V.; Treschev, D. V.
13
2000
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.
13
1991
On the integrability of Hamiltonian systems with toral position space. Zbl 0696.58022
Kozlov, V. V.; Treshchev, D. V.
13
1989
Hyperbolic tori and asymptotic surfaces in Hamiltonian systems. Zbl 0910.58034
Treshev, Dmitrij V.
13
1994
Splitting of separatrices for a pendulum with rapidly oscillating suspension point. Zbl 0947.34034
Treschev, Dmitry V.
13
1997
Hill’s formula. Zbl 1369.37085
Bolotin, S. V.; Treshchëv, D. V.
13
2010
Trajectories in a neighbourhood of asymptotic surfaces of a priori unstable Hamiltonian systems. Zbl 1031.37052
Treschev, D.
13
2002
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
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
The anti-integrable limit. Zbl 1361.37056
Bolotin, S. V.; 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
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
On a conjugacy problem in billiard dynamics. Zbl 1359.37089
Treschev, D. V.
9
2015
Loss of stability in Hamiltonian systems that depend on parameters. Zbl 0799.58032
Treshchev, D. V.
8
1992
The method of continuous averaging in the problem of separation of fast and slow motions. Zbl 0923.34048
Treshchev, D. V.
8
1997
Fine-grained and coarse-grained entropy in problems of statistical mechanics. Zbl 1119.82005
Kozlov, V. V.; Treshchev, D. V.
8
2007
Oscillator and thermostat. Zbl 1209.70014
Treschev, Dmitry
8
2010
Polynomial integrals of Hamiltonian systems with exponential interaction. Zbl 0727.58018
Kozlov, V. V.; Treshchev, D. V.
8
1990
Weak convergence of solutions of the Liouville equation for nonlinear Hamiltonian systems. Zbl 1178.37050
Kozlov, V. V.; Treshchev, D. V.
8
2003
Stability islands in the vicinity of separatrices of near-integrable symplectic maps. Zbl 1153.37406
Simó, Carles; Treschev, Dmitri
8
2008
Continuous averaging in multi-frequency slow-fast systems. Zbl 0977.34040
Pronin, A. V.; Treschev, D. V.
7
2000
On stability loss delay for a periodic trajectory. Zbl 0844.34045
Neishtadt, A. I.; Simó, C.; Treschev, D. V.
7
1996
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
On the inclusion of analytic maps into analytic flows. Zbl 0921.58024
Pronin, Andrei V.; Treshchev, Dmitry V.
6
1997
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.
6
2012
Travelling waves in FPU lattices. Zbl 1060.37069
Treschev, Dmitry
6
2004
Polynomial conservation laws in quantum systems. Zbl 1178.81158
Kozlov, V. V.; Treshchev, D. V.
6
2004
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
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
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
Connection of the Morse index of a closed geodesic line with its stability. Zbl 0805.58018
Treshchev, D. V.
4
1988
Dynamics in a neighborhood of separatrices of an area-preserving map. Zbl 0929.37002
Treschev, Dmitry
4
1998
A rigid body on a surface with random roughness. Zbl 1309.70006
Burlakov, Daniil; Treschev, Dmitry
4
2014
Coarse-grained entropy in dynamical systems. Zbl 1203.37008
Piftankin, G.; Treschev, D.
4
2010
Evolution of measures in the phase space of nonlinear Hamiltonian systems. Zbl 1178.37049
Kozlov, V. V.; Treshchev, D. V.
4
2003
Billiard transformations of parallel flows: a periscope theorem. Zbl 1373.49053
Plakhov, Alexander; Tabachnikov, Serge; Treschev, Dmitry
4
2017
A locally integrable multi-dimensional billiard system. Zbl 1368.37063
Treschev, Dmitry
4
2017
On the question of the stability of the periodic trajectories of Birkhoff’s billiard. Zbl 0667.58033
Treshchev, D. V.
3
1988
Closures of asymptotic curves in a two-dimensional symplectic map. Zbl 0943.37011
Treschev, D.
3
1998
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
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
Kowalewski numbers of generalized Toda chains. Zbl 0686.58033
Kozlov, V. V.; Treshchev, D. V.
2
1989
Quantum observables: an algebraic aspect. Zbl 1138.81458
Treshchev, D. V.
2
2005
Gibbs entropy and dynamics. Zbl 1307.37002
Piftankin, G.; Treschev, D.
2
2008
Continuous averaging in dynamical systems. Zbl 1033.37012
Treschev, D.
2
2002
Instability, asymptotic trajectories and dimension of the phase space. Zbl 1416.37030
Kozlov, V. V.; Treschev, D. V.
2
2018
Volume preserving diffeomorphisms as Poincaré maps for volume preserving flows. Zbl 1444.37018
Treschev, Dmitriĭ V.
2
2020
Noncommutative structures. Zbl 1161.58006
Treschev, D. V.
2
2007
On the conservation of invariant manifolds for Hamiltonian systems under perturbation. Zbl 0747.58033
Treshchev, D. V.
1
1991
An estimate of irremovable nonconstant terms in the reducibility problem. Zbl 0838.34010
Treshchev, Dmitrij V.
1
1995
Instability of isolated equilibria of dynamical systems with invariant measure in spaces of odd dimension. Zbl 0962.34036
Kozlov, V. V.; Treshchev, D. V.
1
1999
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
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 local integrability in billiard dynamics. Zbl 1423.37053
Schastnyy, V.; Treschev, D.
1
2019
\( \mu \)-norm of an operator. Zbl 1453.81020
Treschev, D. V.
1
2020
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
Volume preserving diffeomorphisms as Poincaré maps for volume preserving flows. Zbl 1444.37018
Treschev, Dmitriĭ V.
2
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.
1
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
Billiard transformations of parallel flows: a periscope theorem. Zbl 1373.49053
Plakhov, Alexander; Tabachnikov, Serge; Treschev, Dmitry
4
2017
A locally integrable multi-dimensional billiard system. Zbl 1368.37063
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
Lagrangian tori near resonances of near-integrable Hamiltonian systems. Zbl 1378.70021
Medvedev, A. G.; Neishtadt, A. I.; Treschev, D. V.
11
2015
The anti-integrable limit. Zbl 1361.37056
Bolotin, S. V.; Treschev, D. V.
11
2015
On a conjugacy problem in billiard dynamics. Zbl 1359.37089
Treschev, D. V.
9
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.
16
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.
6
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
25
2010
Hill’s formula. Zbl 1369.37085
Bolotin, S. V.; Treshchëv, D. V.
13
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.
2
2008
Separatrix maps in Hamiltonian systems. Zbl 1151.37050
Piftankin, G. N.; Treshchev, D. V.
17
2007
Fine-grained and coarse-grained entropy in problems of statistical mechanics. Zbl 1119.82005
Kozlov, V. V.; Treshchev, D. V.
8
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.
37
2004
Travelling waves in FPU lattices. Zbl 1060.37069
Treschev, Dmitry
6
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.
8
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.
29
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.
1
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.
13
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.
6
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.
7
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.
13
1994
Loss of stability in Hamiltonian systems that depend on parameters. Zbl 0799.58032
Treshchev, D. V.
8
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.
102
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.
13
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.
32
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 449 Authors

21 Kozlov, Valeriĭ Vasil’evich
18 Mamaev, Ivan Sergeevich
16 Treshchev, Dmitriĭ Valer’evich
16 Vedyushkina, Viktoriya Viktorovna
15 Delshams, Amadeu
14 M-Seara, Tere
13 Borisov, Alekseĭ Vladimirovich
13 Fomenko, Anatoliĭ Timofeevich
12 de la Llave, Rafael
12 Kilin, Aleksandr Aleksandrovich
10 Kaloshin, Vadim Yu.
9 Bialy, Misha
9 Bolotin, Sergeĭ Vladimirovich
9 Rom-Kedar, Vered
9 Simó, Carles
9 Turaev, Dmitry V.
8 Cheng, Chong-Qing
8 Hu, Xijun
8 Mironov, Andreĭ Evgen’evich
8 Vetchanin, Evgeniĭ Vladimirovich
7 Neĭshtadt, Anatoliĭ Iserovich
6 Fontich, Ernest
6 Gelfreich, Vassili
6 Gidea, Marian
6 Guardia, Marcel
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 Dragović, Vladimir
5 Fokicheva, Victoria V.
5 Galyaev, A. A.
5 Gutiérrez, Pere
5 Lerman, Lev
5 Markeev, Anatoliĭ Pavlovich
5 Mezić, Igor
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 Radnović, Milena
4 Sevryuk, Mikhail Borisovich
4 Vasil’ev, Alekseĭ Alekseevich
4 Vieiro, Arturo
4 Zobova, Alexandra A.
4 Zubelevich, Oleg Èduardovich
3 Bernard, Patrick
3 Biasco, Luca
3 Bolsinov, Alexey V.
3 Budišić, Marko
3 Chierchia, Luigi
3 Féjoz, Jacques
3 Froeschlé, Claude
3 Haller, George
3 Ivanov, Aleksandr Pavlovich
3 Kholostova, Ol’ga Vladimirovna
3 Martín, Pau
3 Przybylska, Maria
3 Qian, Weichao
3 Saulin, Sergeĭ Mikhaĭlovich
3 Sorrentino, Alfonso
3 Trushechkin, Anton Sergeevich
3 Vidal, Claudio
3 Volovich, Igor’ Vasil’evich
3 Xu, Junxiang
3 Yang, Ran
3 Yang, Xue
3 Zelditch, Steve
2 Anikin, A. Yu.
2 Baldomá, Inmaculada
2 Brogliato, Bernard
2 Butler, Leo T.
2 Castejón, Oriol
2 Cresson, Jacky
2 Davletshin, Maksim Nikolaevich
2 Dobrokhotov, Sergei Yurievich
2 Erdakova, Nadezhda N.
2 Gajić, Borislav
2 Gasiorek, Sean
2 Gentile, Guido
2 Golubtsov, Pavel E.
2 Gonchenko, Sergey V.
2 Gutkin, Eugene
2 Han, Ray P. S.
2 Herrmann, Michael
2 Huang, Guan
2 Huguet, Gemma
2 Ichtiaroglou, Simos
...and 349 more Authors
all top 5

Cited in 117 Serials

65 Regular and Chaotic Dynamics
26 Physica D
24 Journal of Differential Equations
23 Proceedings of the Steklov Institute of Mathematics
21 Chaos
16 Nonlinearity
15 Doklady Mathematics
12 Communications in Mathematical Physics
12 Journal of Applied Mathematics and Mechanics
12 Mathematical Notes
12 Russian Mathematical Surveys
12 Prikladnaya Matematika i Mekhanika
10 Theoretical and Mathematical Physics
10 Russian Journal of Mathematical Physics
9 Discrete and Continuous Dynamical Systems
8 Journal of Nonlinear Science
7 Moscow University Mathematics Bulletin
6 Journal of Geometry and Physics
6 Advances in Mathematics
6 Sbornik: Mathematics
6 Annales Henri Poincaré
6 Nelineĭnaya Dinamika
5 Ergodic Theory and Dynamical Systems
5 Automation and Remote Control
5 Celestial Mechanics and Dynamical Astronomy
5 Journal of Dynamics and Differential Equations
5 Journal of Mathematical Sciences (New York)
4 Archive for Rational Mechanics and Analysis
4 Journal of Statistical Physics
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 Proceedings of the American Mathematical Society
3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
3 Annals of Mathematics. Second Series
3 Journal of the European Mathematical Society (JEMS)
3 Differential Equations
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 Annales de l’Institut Fourier
2 Inventiones Mathematicae
2 Mathematische Annalen
2 Siberian Mathematical Journal
2 Transactions of the American Mathematical Society
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 Experimental Mathematics
2 Physics of Fluids
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 Pacific Journal of Mathematics
1 Zeitschrift für Analysis und ihre Anwendungen
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
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 St. Petersburg Mathematical Journal
1 Journal of Difference Equations and Applications
...and 17 more Serials
all top 5

Cited in 39 Fields

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