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Treshchev, Dmitriĭ Valer’evich

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 V.; Treschev, Dmitry; Treshchev, Dmitriĭ Valer’evich; Treshchev, Dmitrij V.; Treshchëv, D. V.; Treschev, Dmitrii V.; Treschev, Dmitriĭ V.; Treshchev, Dmitry V.; Treshev, Dmitrij V.; Treshchev, Dmitriĭ; Treschev, Dmitri
Homepage: http://www.mi.ras.ru/~treschev/index_e.html
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Co-Authors

41 single-authored
30 Kozlov, Valeriĭ Vasil’evich
12 Bolotin, Sergeĭ Vladimirovich
9 Neĭshtadt, Anatoliĭ Iserovich
6 Novikov, Sergeĭ Petrovich
6 Orlov, Dmitri O.
5 Borisov, Alekseĭ Vladimirovich
4 Bukhshtaber, Viktor Matveevich
4 Mamaev, Ivan Sergeevich
4 Osipov, Yuriĭ Sergeevich
4 Sergeev, Armen Glebovich
4 Simó, Carles
4 Zubelevich, Oleg Èduardovich
3 Anosov, Dmitriĭ Viktorovich
3 Davydov, Alekseĭ Aleksandrovich
3 Gorchinskiĭ, Sergeĭ Olegovich
3 Il’yashenko, Yuliĭ Sergeevich
3 Kashin, Boris Sergeevich
3 Konovalov, Sergeĭ Petrovich
3 Parshin, Alekseĭ Nikolaevich
3 Piftankin, G. N.
3 Pronin, Andrei V.
3 Sadovnichiĭ, Viktor Antonovich
3 Vasil’ev, Alekseĭ Alekseevich
2 Agrachev, Andreĭ Aleksandrovich
2 Aptekarev, Alexander Ivanovich
2 Aseev, Sergei M.
2 Beklemishev, Lev D.
2 Chirka, Evgeniĭ Mikhaĭlovich
2 Davletshin, Mars Nailevich
2 Dobrokhotov, Sergei Yurievich
2 Faddeev, Lyudvig Dmitrievich
2 Gamkrelidze, Revaz Valerianovich
2 Gonchar, Andreĭ Aleksandrovich
2 Gonchenko, Sergeĭ Vladimirovich
2 Ivanova, Tat’yana Borisovna
2 Kilin, Aleksandr Aleksandrovich
2 Kislyakov, Sergeĭ Vital’evich
2 Lando, Sergei K.
2 Pesin, Yakov Borisovich
2 Popov, Vladimir Leonidovich
2 Ramodanov, Sergeĭ Mikhaĭlovich
2 Shiryaev, Al’bert Nikolaevich
2 Shkalikov, Andreĭ Andreevich
2 Sidorenko, Vladislav V.
2 Sinaĭ, Yakov Grigor’evich
2 Tenenev, Valentin Alekseevich
2 Turaev, Dmitry V.
2 Vasil’ev, Viktor Anatol’evich
2 Zajtsev, A. Yu.
1 Adyan, Sergeĭ Ivanovich
1 Afonin, Kirill A.
1 Afraimovich, Valentin S.
1 Akhmet’ev, Pëtr Mikhaĭlovich
1 Alexandrov, Victor A.
1 Anashkin, Oleg V.
1 Andreev, Nikolaĭ Nikolaevich
1 Apushkinskaya, Darya E.
1 Artem’ev, A. V.
1 Atabekyan, Varuzhan S.
1 Balandin, Dmitriĭ Vladimirovich
1 Barinova, Marina Konstantinovna
1 Belykh, Vladimir Nikolaevich
1 Besov, Konstantin O.
1 Besov, Oleg Vladimirovich
1 Bezdenezhnykh, A. N.
1 Biasco, Luca
1 Bogaevskij, Il’ya Aleksandrovich
1 Bogomolov, Fedor Alekseivich
1 Borodin, Petr A.
1 Bortakovskii, A. S.
1 Budak, A. B.
1 Bunimovich, Leonid Abramovich
1 Burenkov, Viktor Ivanovich
1 Burlakov, Daniil
1 Chebochko, N. G.
1 Cheltsov, Ivan Anatol’evich
1 Chernyshev, A. O.
1 Chierchia, Luigi
1 Chilina, Ekaterina Evgen’evna
1 Chubarikov, Vladimir Nikolaevich
1 Chugaĭnova, Anna Pavlova
1 Danilov, Vladimir G.
1 Demidenko, Gennadiĭ Vladimirovich
1 Denisova, N. V.
1 Dolbilin, Nikolaĭ Petrovich
1 Erdakova, Nadezhda Nikolaevna
1 Erokhovets, Nikolaĭ Yur’evich
1 Fomenko, Anatoliĭ Timofeevich
1 Fuchs, Dmitry Borisovich
1 Gaifullin, Alexander A.
1 Galkin, Oleg Evgen’evich
1 Galkina, Svetlana Yur’evna
1 Gallyamov, Sergeĭ Rafailovich
1 Glysin, S. D.
1 Gol’dman, Mikhail L’vovich
1 Goncharov, Sergeĭ Savost’yanovich
1 Gorin, Evgeniĭ Alekseevich
1 Gorodetskii, Anton Semenovich
1 Goryunov, Victor V.
1 Grigorenko, Nikolaĭ Leont’evich
...and 144 more Co-Authors

Publications by Year

Citations contained in zbMATH Open

87 Publications have been cited 982 times in 698 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.
165
1991
Evolution of slow variables in a priori unstable Hamiltonian systems. Zbl 1075.37019
Treschev, D.
50
2004
The mechanism of destruction of resonance tori of Hamiltonian systems. Zbl 0737.58025
Treshchev, D. V.
45
1990
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.
42
1991
Unbounded growth of energy in nonautonomous Hamiltonian systems. Zbl 0989.37050
Bolotin, S.; Treschev, D.
39
1999
Introduction to the perturbation theory of Hamiltonian systems. Zbl 1181.37001
Treschev, Dmitry; Zubelevich, Oleg
37
2010
Arnold diffusion far from strong resonances in multidimensional a priori unstable Hamiltonian systems. Zbl 1266.37026
Treschev, D.
27
2012
Billiard map and rigid rotation. Zbl 1417.37139
Treschev, D.
24
2013
Separatrix maps in Hamiltonian systems. Zbl 1151.37050
Piftankin, G. N.; Treshchev, D. V.
22
2007
Lagrangian tori near resonances of near-integrable Hamiltonian systems. Zbl 1378.70021
Medvedev, A. G.; Neishtadt, A. I.; Treschev, D. V.
21
2015
Hyperbolic tori and asymptotic surfaces in Hamiltonian systems. Zbl 0910.58034
Treshev, Dmitrij V.
20
1994
Stable periodic motions in the problem on passage through a separatrix. Zbl 1002.34029
Neishtadt, A. I.; Sidorenko, V. V.; Treschev, D. V.
19
1997
Multidimensional symplectic separatrix maps. Zbl 1022.37041
Treschev, D.
19
2002
Trajectories in a neighbourhood of asymptotic surfaces of a priori unstable Hamiltonian systems. Zbl 1031.37052
Treschev, D.
17
2002
On a conjugacy problem in billiard dynamics. Zbl 1359.37089
Treschev, D. V.
17
2015
Hill’s formula. Zbl 1369.37085
Bolotin, S. V.; Treshchëv, D. V.
17
2010
The anti-integrable limit. Zbl 1361.37056
Bolotin, S. V.; Treschev, D. V.
16
2015
On the integrability of Hamiltonian systems with toral position space. Zbl 0696.58022
Kozlov, V. V.; Treshchev, D. V.
16
1989
Splitting of separatrices for a pendulum with rapidly oscillating suspension point. Zbl 0947.34034
Treschev, Dmitry V.
15
1997
Remarks on the definition of hyperbolic tori of Hamiltonian systems. Zbl 1005.70015
Bolotin, S. V.; Treschev, D. V.
14
2000
Weak convergence of solutions of the Liouville equation for nonlinear Hamiltonian systems. Zbl 1178.37050
Kozlov, V. V.; Treshchev, D. V.
13
2003
Rolling of a rigid body without slipping and spinning: kinematics and dynamics. Zbl 1367.70006
Borisov, A. V.; Mamaev, I. S.; Treschev, D. V.
13
2013
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.
13
1986
Fine-grained and coarse-grained entropy in problems of statistical mechanics. Zbl 1119.82005
Kozlov, V. V.; Treshchev, D. V.
12
2007
Width of stochastic layers in near-integrable two-dimensional symplectic maps. Zbl 1038.37049
Treschev, D.
12
1998
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.
12
2012
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
11
2017
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
On the motion of free disc on the rough horizontal plane. Zbl 07959889
Sal’nikova, Tat’yana Vladimirovna; Treshchev, Dmitriĭ Valer’evich; Gallyamov, Sergeĭ Rafailovich
10
2012
Travelling waves in FPU lattices. Zbl 1060.37069
Treschev, Dmitry
9
2004
On stability loss delay for a periodic trajectory. Zbl 0844.34045
Neishtadt, A. I.; Simó, C.; Treschev, D. V.
9
1996
Loss of stability in Hamiltonian systems that depend on parameters. Zbl 0799.58032
Treshchev, D. V.
9
1992
An averaging method for Hamiltonian systems, exponentially close to integrable ones. Zbl 1055.70509
Treschev, Dmitry V.
9
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
8
2008
Stability islands in the vicinity of separatrices of near-integrable symplectic maps. Zbl 1153.37406
Simó, Carles; Treschev, Dmitri
8
2008
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.
8
1997
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
Stability of nearly integrable, degenerate Hamiltonian systems with two degrees of freedom. Zbl 1095.37027
Biasco, L.; Chierchia, L.; Treschev, D.
7
2006
On new forms of the ergodic theorem. Zbl 1021.37004
Kozlov, V. V.; Treschev, D. V.
7
2003
Polynomial conservation laws in quantum systems. Zbl 1178.81158
Kozlov, V. V.; Treshchev, D. V.
7
2004
Continuous averaging in multi-frequency slow-fast systems. Zbl 0977.34040
Pronin, A. V.; Treschev, D. V.
7
2000
On local integrability in billiard dynamics. Zbl 1423.37053
Schastnyy, V.; Treschev, D.
7
2019
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.
7
2016
Billiard transformations of parallel flows: a periscope theorem. Zbl 1373.49053
Plakhov, Alexander; Tabachnikov, Serge; Treschev, Dmitry
7
2017
A rigid cylinder on a viscoelastic plane. Zbl 07959483
Kuleshov, Aleksandr Sergeevich; Treshchev, Dmitriĭ; Ivanova, Tat’yana Borisovna; Naĭmushina, Ol’ga Sergeevna
7
2011
Invariant tori in Hamiltonian systems with two degrees of freedom in a neighborhood of a resonance. Zbl 0942.37042
Treschev, D.; Zubelevich, O.
6
1998
Ball on a viscoelastic plane. Zbl 1293.35329
Zobova, A. A.; Treschev, D. V.
6
2013
Gibbs entropy and dynamics. Zbl 1307.37002
Piftankin, G.; Treschev, D.
6
2008
Connection of the Morse index of a closed geodesic line with its stability. Zbl 0805.58018
Treshchev, D. V.
5
1988
Evolution of measures in the phase space of nonlinear Hamiltonian systems. Zbl 1178.37049
Kozlov, V. V.; Treshchev, D. V.
5
2003
Instability, asymptotic trajectories and dimension of the phase space. Zbl 1416.37030
Kozlov, V. V.; Treschev, D. V.
5
2018
Coarse-grained entropy in dynamical systems. Zbl 1203.37008
Piftankin, G.; Treschev, D.
5
2010
On the final motion of cylindrical solids on a rough plane. Zbl 07959929
Treshchev, Dmitriĭ Valer’evich; Erdakova, Nadezhda Nikolaevna; Ivanova, Tat’yana Borisovna
5
2012
On the question of the stability of the periodic trajectories of Birkhoff’s billiard. Zbl 0667.58033
Treshchev, D. V.
4
1988
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.
4
2007
Volume preserving diffeomorphisms as Poincaré maps for volume preserving flows. Zbl 1444.37018
Treschev, Dmitriĭ V.
4
2020
Dynamics in a neighborhood of separatrices of an area-preserving map. Zbl 0929.37002
Treschev, Dmitry
4
1998
Polymorphisms and adiabatic chaos. Zbl 1209.37035
Neishtadt, A.; Treschev, D.
4
2011
Polynomial integrals of Hamiltonian systems with exponential interaction. Zbl 0684.58012
Kozlov, V. V.; Treshchev, D. V.
4
1989
A rigid body on a surface with random roughness. Zbl 1309.70006
Burlakov, Daniil; Treschev, Dmitry
4
2014
Quantum observables: an algebraic aspect. Zbl 1138.81458
Treshchev, D. V.
3
2005
Closures of asymptotic curves in a two-dimensional symplectic map. Zbl 0943.37011
Treschev, D.
3
1998
Instability of isolated equilibria of dynamical systems with invariant measure in spaces of odd dimension. Zbl 0962.34036
Kozlov, V. V.; Treshchev, D. V.
3
1999
Isochronicity in 1 DOF. Zbl 1484.34099
Treschev, Dmitry V.
3
2022
Kowalewski numbers of generalized Toda chains. Zbl 0686.58033
Kozlov, V. V.; Treshchev, D. V.
3
1989
Relative version of the Titchmarsh convolution theorem. Zbl 1281.44007
Gorin, E. A.; Treschev, D. V.
3
2012
Arnold diffusion in a neighborhood of strong resonances. Zbl 1362.37115
Davletshin, M. N.; Treschev, D. V.
3
2016
Noncommutative structures. Zbl 1161.58006
Treschev, D. V.
2
2007
Separatrix splitting from the point of view of symplectic geometry. Zbl 0915.58031
Treshchëv, D. V.
2
1997
Continuous averaging in dynamical systems. Zbl 1033.37012
Treschev, D.
2
2002
Dynamical phenomena connected with stability loss of equilibria and periodic trajectories. Zbl 1496.37026
Neishtadt, Anatolii I.; Treschev, Dmitry V.
2
2021
On the inclusion of a map into a flow. Zbl 1375.37057
Saulin, Sergey M.; Treschev, Dmitry V.
2
2016
\( \mu \)-norm of an operator. Zbl 1453.81020
Treschev, D. V.
2
2020
Hamiltonian systems with a functional parameter in the form of a potential. Zbl 1504.37077
Treschev, D. V.
2
2022
Weak convergence of measures in conservative systems. Zbl 1120.37002
Kozlov, V. V.; Treschev, D. V.
1
2005
Some aspects of finite-dimensional Hamiltonian dynamics. Zbl 1139.37039
Treschev, D. V.
1
2008
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
On the conservation of invariant manifolds for Hamiltonian systems under perturbation. Zbl 0747.58033
Treshchev, D. V.
1
1991
Kovalevskaya numbers of generalized Toda chains. Zbl 0702.58066
Kozlov, V. V.; Treshchev, D. V.
1
1989
Entropy of a unitary operator on \(L^2(\mathbb{T}^n)\). Zbl 1522.47041
Afonin, Kirill A.; Treschev, Dmitry V.
1
2022
\(\mu\)-norm and regularity. Zbl 1471.81012
Treschev, D.
1
2021
Another billiard problem. Zbl 1540.37084
Bolotin, S.; Treschev, D.
1
2024
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
Another billiard problem. Zbl 1540.37084
Bolotin, S.; Treschev, D.
1
2024
Isochronicity in 1 DOF. Zbl 1484.34099
Treschev, Dmitry V.
3
2022
Hamiltonian systems with a functional parameter in the form of a potential. Zbl 1504.37077
Treschev, D. V.
2
2022
Entropy of a unitary operator on \(L^2(\mathbb{T}^n)\). Zbl 1522.47041
Afonin, Kirill A.; Treschev, Dmitry V.
1
2022
Dynamical phenomena connected with stability loss of equilibria and periodic trajectories. Zbl 1496.37026
Neishtadt, Anatolii I.; Treschev, Dmitry V.
2
2021
\(\mu\)-norm and regularity. Zbl 1471.81012
Treschev, D.
1
2021
Volume preserving diffeomorphisms as Poincaré maps for volume preserving flows. Zbl 1444.37018
Treschev, Dmitriĭ V.
4
2020
\( \mu \)-norm of an operator. Zbl 1453.81020
Treschev, D. V.
2
2020
On local integrability in billiard dynamics. Zbl 1423.37053
Schastnyy, V.; Treschev, D.
7
2019
Instability, asymptotic trajectories and dimension of the phase space. Zbl 1416.37030
Kozlov, V. V.; Treschev, D. V.
5
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
11
2017
Billiard transformations of parallel flows: a periscope theorem. Zbl 1373.49053
Plakhov, Alexander; Tabachnikov, Serge; Treschev, Dmitry
7
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.
7
2016
Arnold diffusion in a neighborhood of strong resonances. Zbl 1362.37115
Davletshin, M. N.; Treschev, D. V.
3
2016
On the inclusion of a map into a flow. Zbl 1375.37057
Saulin, Sergey M.; Treschev, Dmitry V.
2
2016
Lagrangian tori near resonances of near-integrable Hamiltonian systems. Zbl 1378.70021
Medvedev, A. G.; Neishtadt, A. I.; Treschev, D. V.
21
2015
On a conjugacy problem in billiard dynamics. Zbl 1359.37089
Treschev, D. V.
17
2015
The anti-integrable limit. Zbl 1361.37056
Bolotin, S. V.; Treschev, D. V.
16
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.
24
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.
13
2013
Ball on a viscoelastic plane. Zbl 1293.35329
Zobova, A. A.; Treschev, D. V.
6
2013
Arnold diffusion far from strong resonances in multidimensional a priori unstable Hamiltonian systems. Zbl 1266.37026
Treschev, D.
27
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.
12
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
On the motion of free disc on the rough horizontal plane. Zbl 07959889
Sal’nikova, Tat’yana Vladimirovna; Treshchev, Dmitriĭ Valer’evich; Gallyamov, Sergeĭ Rafailovich
10
2012
On the final motion of cylindrical solids on a rough plane. Zbl 07959929
Treshchev, Dmitriĭ Valer’evich; Erdakova, Nadezhda Nikolaevna; Ivanova, Tat’yana Borisovna
5
2012
Relative version of the Titchmarsh convolution theorem. Zbl 1281.44007
Gorin, E. A.; Treschev, D. V.
3
2012
A rigid cylinder on a viscoelastic plane. Zbl 07959483
Kuleshov, Aleksandr Sergeevich; Treshchev, Dmitriĭ; Ivanova, Tat’yana Borisovna; Naĭmushina, Ol’ga Sergeevna
7
2011
Polymorphisms and adiabatic chaos. Zbl 1209.37035
Neishtadt, A.; Treschev, D.
4
2011
Introduction to the perturbation theory of Hamiltonian systems. Zbl 1181.37001
Treschev, Dmitry; Zubelevich, Oleg
37
2010
Hill’s formula. Zbl 1369.37085
Bolotin, S. V.; Treshchëv, D. V.
17
2010
Oscillator and thermostat. Zbl 1209.70014
Treschev, Dmitry
8
2010
Coarse-grained entropy in dynamical systems. Zbl 1203.37008
Piftankin, G.; Treschev, D.
5
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
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
8
2008
Stability islands in the vicinity of separatrices of near-integrable symplectic maps. Zbl 1153.37406
Simó, Carles; Treschev, Dmitri
8
2008
Gibbs entropy and dynamics. Zbl 1307.37002
Piftankin, G.; Treschev, D.
6
2008
Some aspects of finite-dimensional Hamiltonian dynamics. Zbl 1139.37039
Treschev, D. V.
1
2008
Separatrix maps in Hamiltonian systems. Zbl 1151.37050
Piftankin, G. N.; Treshchev, D. V.
22
2007
Fine-grained and coarse-grained entropy in problems of statistical mechanics. Zbl 1119.82005
Kozlov, V. V.; Treshchev, D. V.
12
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.
4
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.
7
2006
Quantum observables: an algebraic aspect. Zbl 1138.81458
Treshchev, D. V.
3
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.
50
2004
Travelling waves in FPU lattices. Zbl 1060.37069
Treschev, Dmitry
9
2004
Polynomial conservation laws in quantum systems. Zbl 1178.81158
Kozlov, V. V.; Treshchev, D. V.
7
2004
Weak convergence of solutions of the Liouville equation for nonlinear Hamiltonian systems. Zbl 1178.37050
Kozlov, V. V.; Treshchev, D. V.
13
2003
On new forms of the ergodic theorem. Zbl 1021.37004
Kozlov, V. V.; Treschev, D. V.
7
2003
Evolution of measures in the phase space of nonlinear Hamiltonian systems. Zbl 1178.37049
Kozlov, V. V.; Treshchev, D. V.
5
2003
Multidimensional symplectic separatrix maps. Zbl 1022.37041
Treschev, D.
19
2002
Trajectories in a neighbourhood of asymptotic surfaces of a priori unstable Hamiltonian systems. Zbl 1031.37052
Treschev, D.
17
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.
14
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.
39
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.
3
1999
Width of stochastic layers in near-integrable two-dimensional symplectic maps. Zbl 1038.37049
Treschev, D.
12
1998
Invariant tori in Hamiltonian systems with two degrees of freedom in a neighborhood of a resonance. Zbl 0942.37042
Treschev, D.; Zubelevich, O.
6
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.
19
1997
Splitting of separatrices for a pendulum with rapidly oscillating suspension point. Zbl 0947.34034
Treschev, Dmitry V.
15
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.
8
1997
Separatrix splitting from the point of view of symplectic geometry. Zbl 0915.58031
Treshchëv, D. V.
2
1997
On stability loss delay for a periodic trajectory. Zbl 0844.34045
Neishtadt, A. I.; Simó, C.; Treschev, D. V.
9
1996
An averaging method for Hamiltonian systems, exponentially close to integrable ones. Zbl 1055.70509
Treschev, Dmitry V.
9
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.
20
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.
165
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.
42
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.
45
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.
16
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.
3
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.
5
1988
On the question of the stability of the periodic trajectories of Birkhoff’s billiard. Zbl 0667.58033
Treshchev, D. V.
4
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.
13
1986
all top 5

Cited by 609 Authors

29 Vedyushkina, Viktoriya Viktorovna
25 Kozlov, Valeriĭ Vasil’evich
23 Mamaev, Ivan Sergeevich
22 Treshchev, Dmitriĭ Valer’evich
18 Delshams, Amadeu
18 Fomenko, Anatoliĭ Timofeevich
18 M-Seara, Tere
17 Borisov, Alekseĭ Vladimirovich
16 de la Llave, Rafael
15 Kilin, Aleksandr Aleksandrovich
14 Dragović, Vladimir
13 Bolotin, Sergeĭ Vladimirovich
12 Bialy, Misha
12 Guardia, Marcel
12 Kaloshin, Vadim Yu.
12 Rom-Kedar, Vered
12 Turaev, Dmitry V.
11 Mironov, Andreĭ Evgen’evich
11 Neĭshtadt, Anatoliĭ Iserovich
11 Radnović, Milena
10 Cheng, Chong-Qing
10 Gidea, Marian
10 Simó, Carles
9 Tabachnikov, Serge L.
9 Xu, Junxiang
8 Glutsyuk, Alexey A.
8 Hu, Xijun
8 Vetchanin, Evgeniĭ Vladimirovich
7 Baldomá, Inmaculada
7 Fontich, Ernest
7 Guzzo, Massimiliano
7 Li, Yong
7 Ramírez-Ros, Rafael
6 Agapov, Sergei Vadimovich
6 Anikin, Anatolii Yur’evich
6 Biasco, Luca
6 Chierchia, Luigi
6 Gelfreich, Vassili
6 Gutiérrez, Pere
6 Vasil’ev, Alekseĭ Alekseevich
5 Belozerov, Gleb V.
5 Bizyaev, Ivan Alekseevich
5 Bogachev, Vladimir Igorevich
5 Bolsinov, Alexey V.
5 Bounemoura, Abed Bounemoura
5 Burov, Aleksandr Anatol’evich
5 Féjoz, Jacques
5 Galyaev, Andreĭ Alekseevich
5 Karavaev, Yurĭ Leonidovich
5 Lerman, Lev
5 Markeev, Anatoliĭ Pavlovich
5 Miller, Boris Mikhaĭlovich
5 Vieiro, Arturo
5 Wang, Penghui
5 Wiggins, Stephen R.
5 Yang, Xiaomei
5 Yi, Yingfei
5 Zobova, Alexandra A.
4 Damianou, Pantelis Andrea
4 Dymov, Andrey V.
4 Gajić, Borislav
4 Gonchenko, Marina S.
4 Goryacheva, Irina Georgievna
4 Ivanov, Aleksandr Pavlovich
4 Jovanović, Božidar Žarko
4 Kharcheva, Irina S.
4 Lega, Elena
4 Maciejewski, Andrzej J.
4 Niederman, Laurent
4 Paleari, Simone
4 Penati, Tiziano
4 Peralta-Salas, Daniel
4 Pivovarova, Elena Nikolaevna
4 Qian, Weichao
4 Sevryuk, Mikhail Borisovich
4 Sorrentino, Alfonso
4 Vedenyapin, Victor V.
4 Vidal, Claudio
4 Volovich, Igor’ Vasil’evich
4 Zubelevich, Oleg Èduardovich
3 Adzhiev, S. Z.
3 Bentsman, Joseph
3 Bernard, Patrick
3 Capinski, Maciej J.
3 Clarke, Andrew
3 Cresson, Jacky
3 Danesi, Veronica
3 Dobrokhotov, Sergei Yurievich
3 Erdakova, Nadezhda Nikolaevna
3 Froeschlé, Claude
3 Gabor, Grzegorz
3 Gasiorek, Sean
3 Gentile, Guido
3 Gutkin, Eugene
3 Haller, George
3 Herrmann, Michael
3 Itin, A. P.
3 Kholostova, Ol’ga Vladimirovna
3 Kiselev, Oleg Mikhaĭlovich
3 Levi, Mark L.
...and 509 more Authors
all top 5

Cited in 150 Serials

79 Regular and Chaotic Dynamics
33 Physica D
29 Journal of Differential Equations
28 Nonlinearity
25 Proceedings of the Steklov Institute of Mathematics
20 Chaos
18 Communications in Mathematical Physics
17 Doklady Mathematics
15 Mathematical Notes
15 Sbornik: Mathematics
13 Journal of Applied Mathematics and Mechanics
13 Russian Mathematical Surveys
13 Theoretical and Mathematical Physics
13 Russian Journal of Mathematical Physics
13 Discrete and Continuous Dynamical Systems
12 Prikladnaya Matematika i Mekhanika
12 Nelineĭnaya Dinamika
11 Moscow University Mathematics Bulletin
10 Advances in Mathematics
10 Ergodic Theory and Dynamical Systems
10 Journal of Nonlinear Science
9 Russian Journal of Nonlinear Dynamics
8 Journal of Mathematical Sciences (New York)
7 Archive for Rational Mechanics and Analysis
7 Journal of Geometry and Physics
7 Journal of Dynamics and Differential Equations
6 Automation and Remote Control
6 Communications in Nonlinear Science and Numerical Simulation
6 Annales Henri Poincaré
6 Differential Equations
5 Chaos, Solitons and Fractals
5 Celestial Mechanics and Dynamical Astronomy
5 Izvestiya: Mathematics
5 SIAM Journal on Applied Dynamical Systems
5 Mechanics of Solids
4 Communications on Pure and Applied Mathematics
4 Journal of Mathematical Analysis and Applications
4 Journal of Statistical Physics
4 Functional Analysis and its Applications
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 Proceedings of the American Mathematical Society
4 Siberian Mathematical Journal
4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
4 Annals of Mathematics. Second Series
4 Science China. Mathematics
4 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
3 Journal of Mathematical Physics
3 Moscow University Mechanics Bulletin
3 Pacific Journal of Mathematics
3 Transactions of the American Mathematical Society
3 Experimental Mathematics
3 Journal of the European Mathematical Society (JEMS)
3 Lobachevskii Journal of Mathematics
3 Qualitative Theory of Dynamical Systems
3 Theoretical and Applied Mechanics
3 Journal of Physics A: Mathematical and Theoretical
3 Arnold Mathematical Journal
3 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 Israel Journal of Mathematics
2 Physica A
2 Physics Letters. A
2 Annales de l’Institut Fourier
2 Applied Mathematics and Computation
2 Automatica
2 Duke Mathematical Journal
2 Inventiones Mathematicae
2 Mathematische Annalen
2 Transactions of the Moscow Mathematical Society
2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
2 Geometric and Functional Analysis. GAFA
2 Annals of Physics
2 Annales de l’Institut Henri Poincaré. Physique Théorique
2 NoDEA. Nonlinear Differential Equations and Applications
2 Multibody System Dynamics
2 Journal of Dynamical and Control Systems
2 Chebyshevskiĭ Sbornik
2 Journal of Applied Analysis and Computation
2 Mathematics in Engineering
1 International Journal of Modern Physics B
1 Acta Mechanica
1 American Mathematical Monthly
1 Applicable Analysis
1 Classical and Quantum Gravity
1 General Relativity and Gravitation
1 International Journal of Theoretical Physics
1 Journal of Mathematical Biology
1 Letters in Mathematical Physics
1 Physics Reports
1 Reports on Mathematical Physics
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Reviews in Mathematical Physics
1 ACM Transactions on Mathematical Software
1 Acta Mathematica
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Bulletin de la Société Mathématique de France
1 Colloquium Mathematicum
1 Geometriae Dedicata
1 Glasgow Mathematical Journal
1 International Journal for Numerical Methods in Engineering
1 Journal of Functional Analysis
...and 50 more Serials
all top 5

Cited in 46 Fields

476 Dynamical systems and ergodic theory (37-XX)
319 Mechanics of particles and systems (70-XX)
100 Ordinary differential equations (34-XX)
45 Differential geometry (53-XX)
44 Partial differential equations (35-XX)
35 Statistical mechanics, structure of matter (82-XX)
25 Quantum theory (81-XX)
22 Fluid mechanics (76-XX)
21 Global analysis, analysis on manifolds (58-XX)
17 Mechanics of deformable solids (74-XX)
16 Optics, electromagnetic theory (78-XX)
14 Algebraic geometry (14-XX)
12 Operator theory (47-XX)
12 Probability theory and stochastic processes (60-XX)
12 Numerical analysis (65-XX)
10 Calculus of variations and optimal control; optimization (49-XX)
10 Convex and discrete geometry (52-XX)
10 Systems theory; control (93-XX)
7 Geometry (51-XX)
6 History and biography (01-XX)
6 Biology and other natural sciences (92-XX)
5 Measure and integration (28-XX)
5 Difference and functional equations (39-XX)
5 Classical thermodynamics, heat transfer (80-XX)
5 Relativity and gravitational theory (83-XX)
5 Information and communication theory, circuits (94-XX)
3 General and overarching topics; collections (00-XX)
3 Nonassociative rings and algebras (17-XX)
3 Real functions (26-XX)
3 Approximations and expansions (41-XX)
3 Integral equations (45-XX)
3 Functional analysis (46-XX)
3 Computer science (68-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Functions of a complex variable (30-XX)
2 Special functions (33-XX)
2 General topology (54-XX)
2 Algebraic topology (55-XX)
2 Statistics (62-XX)
2 Astronomy and astrophysics (85-XX)
1 Combinatorics (05-XX)
1 Field theory and polynomials (12-XX)
1 Group theory and generalizations (20-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Sequences, series, summability (40-XX)
1 Integral transforms, operational calculus (44-XX)

Citations by Year

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