Edit Profile (opens in new tab) Treshchev, Dmitriĭ Valer’evich Co-Author Distance Author ID: treshchev.dmitrij-v Published as: Treschev, D. V.; Treshchev, D. V.; Treschev, D.; Treschev, Dmitry V.; Treschev, Dmitry; Treshchev, Dmitrij V.; Treshchëv, D. V.; Treschev, Dmitrii V.; Treschev, Dmitriĭ V.; Treshchev, Dmitry V.; Treshev, Dmitrij V.; Treschev, Dmitri more...less Homepage: http://www.mi.ras.ru/~treschev/index_e.html External Links: Wikidata · Math-Net.Ru · IdRef Videos: carmin.tv Documents Indexed: 119 Publications since 1986, including 3 Books and 5 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 239 Co-Authors with 79 Joint Publications 6,183 Co-Co-Authors all top 5 Co-Authors 41 single-authored 30 Kozlov, Valeriĭ Vasil’evich 11 Bolotin, Sergeĭ Vladimirovich 9 Neĭshtadt, Anatoliĭ Iserovich 6 Novikov, Sergeĭ Petrovich 6 Orlov, Dmitri O. 4 Bukhshtaber, Viktor Matveevich 4 Osipov, Yuriĭ Sergeevich 4 Sergeev, Armen Glebovich 4 Simó, Carles 4 Zubelevich, Oleg Èduardovich 3 Anosov, Dmitriĭ Viktorovich 3 Borisov, Alekseĭ Vladimirovich 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 Dobrokhotov, Sergei Yurievich 2 Faddeev, Lyudvig Dmitrievich 2 Gamkrelidze, Revaz Valerianovich 2 Gonchar, Andreĭ Aleksandrovich 2 Gonchenko, Sergeĭ Vladimirovich 2 Kislyakov, Sergeĭ Vital’evich 2 Lando, Sergei K. 2 Lerman, Lev 2 Mamaev, Ivan Sergeevich 2 Pesin, Yakov Borisovich 2 Popov, Vladimir Leonidovich 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 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 Davletshin, Maksim Nikolaevich 1 Davletshin, Mars 1 Demidenko, Gennadiĭ Vladimirovich 1 Denisova, N. V. 1 Dolbilin, Nikolaĭ Petrovich 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 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 1 Grines, Vyacheslav Zigmundovich 1 Gromov, Mikhael Leonidovich 1 Guba, Victor S. 1 Gubina, Elena V. ...and 140 more Co-Authors all top 5 Serials 19 Russian Mathematical Surveys 11 Regular and Chaotic Dynamics 9 Proceedings of the Steklov Institute of Mathematics 6 Mathematical Notes 5 Nonlinearity 5 Russian Journal of Mathematical Physics 4 Moscow University Mechanics Bulletin 4 Theoretical and Mathematical Physics 3 Discrete and Continuous Dynamical Systems 3 Chaos 2 Matematicheskie Zametki 2 Physica D 2 Mathematics of the USSR, Sbornik 2 Journal of Nonlinear Science 2 Journal of Mathematical Sciences (New York) 2 Sbornik: Mathematics 2 Regularnaya & Khaoticheskaya Dinamika 2 Journal of Dynamical and Control Systems 2 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Applied Mathematics and Mechanics 1 Journal of Geometry and Physics 1 Functional Analysis and its Applications 1 Mathematics of the USSR. Izvestiya 1 Ergodic Theory and Dynamical Systems 1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 1 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 1 Journal of Dynamics and Differential Equations 1 Experimental Mathematics 1 Trudy Seminara po Vektornomu i Tenzornomu Analizu 1 Applicationes Mathematicae 1 Izvestiya: Mathematics 1 Doklady Mathematics 1 Moscow Mathematical Journal 1 Translations of Mathematical Monographs 1 Journal of Applied Nonlinear Dynamics 1 Springer Monographs in Mathematics 1 Russian Journal of Nonlinear Dynamics all top 5 Fields 81 Dynamical systems and ergodic theory (37-XX) 39 Mechanics of particles and systems (70-XX) 18 History and biography (01-XX) 18 Ordinary differential equations (34-XX) 6 Operator theory (47-XX) 6 Quantum theory (81-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Functional analysis (46-XX) 3 Differential geometry (53-XX) 2 Measure and integration (28-XX) 2 Partial differential equations (35-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Mechanics of deformable solids (74-XX) 2 Optics, electromagnetic theory (78-XX) 1 General and overarching topics; collections (00-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 83 Publications have been cited 938 times in 671 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. 164 1991 Evolution of slow variables in a priori unstable Hamiltonian systems. Zbl 1075.37019 Treschev, D. 51 2004 The mechanism of destruction of resonance tori of Hamiltonian systems. Zbl 0737.58025 Treshchev, D. V. 46 1990 Unbounded growth of energy in nonautonomous Hamiltonian systems. Zbl 0989.37050 Bolotin, S.; Treschev, D. 40 1999 Introduction to the perturbation theory of Hamiltonian systems. Zbl 1181.37001 Treschev, Dmitry; Zubelevich, Oleg 37 2010 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. 36 1991 Arnold diffusion far from strong resonances in multidimensional a priori unstable Hamiltonian systems. Zbl 1266.37026 Treschev, D. 29 2012 Billiard map and rigid rotation. Zbl 1417.37139 Treschev, D. 23 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 Hill’s formula. Zbl 1369.37085 Bolotin, S. V.; Treshchëv, D. V. 18 2010 The anti-integrable limit. Zbl 1361.37056 Bolotin, S. V.; Treschev, D. V. 18 2015 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. 16 2015 On the integrability of Hamiltonian systems with toral position space. Zbl 0696.58022 Kozlov, V. V.; Treshchev, D. V. 15 1989 Splitting of separatrices for a pendulum with rapidly oscillating suspension point. Zbl 0947.34034 Treschev, Dmitry V. 15 1997 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. 14 1986 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 On the Hamiltonian property of linear dynamical systems in Hilbert space. Zbl 06769031 Treshchev, D. V.; Shkalikov, A. A. 12 2017 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. 11 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. 11 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 Travelling waves in FPU lattices. Zbl 1060.37069 Treschev, Dmitry 10 2004 A locally integrable multi-dimensional billiard system. Zbl 1368.37063 Treschev, Dmitry 10 2017 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. 9 1996 Loss of stability in Hamiltonian systems that depend on parameters. Zbl 0799.58032 Treshchev, D. V. 9 1992 The method of continuous averaging in the problem of separation of fast and slow motions. Zbl 0923.34048 Treshchev, D. V. 8 1997 Polynomial integrals of Hamiltonian systems with exponential interaction. Zbl 0727.58018 Kozlov, V. V.; Treshchev, D. V. 8 1990 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 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. 8 2016 Oscillator and thermostat. Zbl 1209.70014 Treschev, Dmitry 8 2010 Stability of nearly integrable, degenerate Hamiltonian systems with two degrees of freedom. Zbl 1095.37027 Biasco, L.; Chierchia, L.; Treschev, D. 7 2006 On the inclusion of analytic maps into analytic flows. Zbl 0921.58024 Pronin, Andrei V.; Treshchev, Dmitry V. 7 1997 Polynomial conservation laws in quantum systems. Zbl 1178.81158 Kozlov, V. V.; Treshchev, D. V. 7 2004 Billiard transformations of parallel flows: a periscope theorem. Zbl 1373.49053 Plakhov, Alexander; Tabachnikov, Serge; Treschev, Dmitry 7 2017 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 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 Gibbs entropy and dynamics. Zbl 1307.37002 Piftankin, G.; Treschev, D. 6 2008 Ball on a viscoelastic plane. Zbl 1293.35329 Zobova, A. A.; Treschev, D. V. 6 2013 Connection of the Morse index of a closed geodesic line with its stability. Zbl 0805.58018 Treshchev, D. V. 5 1988 On new forms of the ergodic theorem. Zbl 1021.37004 Kozlov, V. V.; Treschev, D. V. 5 2003 Instability, asymptotic trajectories and dimension of the phase space. Zbl 1416.37030 Kozlov, V. V.; Treschev, D. V. 5 2018 Evolution of measures in the phase space of nonlinear Hamiltonian systems. Zbl 1178.37049 Kozlov, V. V.; Treshchev, D. V. 5 2003 Coarse-grained entropy in dynamical systems. Zbl 1203.37008 Piftankin, G.; Treschev, D. 5 2010 Polynomial integrals of Hamiltonian systems with exponential interaction. Zbl 0684.58012 Kozlov, V. V.; Treshchev, D. V. 4 1989 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 Dynamics in a neighborhood of separatrices of an area-preserving map. Zbl 0929.37002 Treschev, Dmitry 4 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. 4 1999 A rigid body on a surface with random roughness. Zbl 1309.70006 Burlakov, Daniil; Treschev, Dmitry 4 2014 Polymorphisms and adiabatic chaos. Zbl 1209.37035 Neishtadt, A.; Treschev, D. 4 2011 Kowalewski numbers of generalized Toda chains. Zbl 0686.58033 Kozlov, V. V.; Treshchev, D. V. 3 1989 Closures of asymptotic curves in a two-dimensional symplectic map. Zbl 0943.37011 Treschev, D. 3 1998 Isochronicity in 1 DOF. Zbl 1484.34099 Treschev, Dmitry V. 3 2022 Volume preserving diffeomorphisms as Poincaré maps for volume preserving flows. Zbl 1444.37018 Treschev, Dmitriĭ V. 3 2020 Quantum observables: an algebraic aspect. Zbl 1138.81458 Treshchev, D. V. 3 2005 Relative version of the Titchmarsh convolution theorem. Zbl 1281.44007 Gorin, E. A.; Treschev, D. V. 3 2012 Continuous averaging in dynamical systems. Zbl 1033.37012 Treschev, D. 2 2002 \( \mu \)-norm of an operator. Zbl 1453.81020 Treschev, D. V. 2 2020 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 Arnold diffusion in a neighborhood of strong resonances. Zbl 1362.37115 Davletshin, M. N.; Treschev, D. V. 2 2016 Hamiltonian systems with a functional parameter in the form of a potential. Zbl 1504.37077 Treschev, D. V. 2 2022 On the inclusion of a map into a flow. Zbl 1375.37057 Saulin, Sergey M.; Treschev, Dmitry V. 1 2016 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 the conservation of invariant manifolds for Hamiltonian systems under perturbation. Zbl 0747.58033 Treshchev, D. V. 1 1991 Dynamical phenomena connected with stability loss of equilibria and periodic trajectories. Zbl 1496.37026 Neishtadt, Anatolii I.; Treschev, Dmitry V. 1 2021 \(\mu\)-norm and regularity. Zbl 1471.81012 Treschev, D. 1 2021 Entropy of a unitary operator on \(L^2(\mathbb{T}^n)\). Zbl 1522.47041 Afonin, Kirill A.; Treschev, Dmitry V. 1 2022 Some aspects of finite-dimensional Hamiltonian dynamics. Zbl 1139.37039 Treschev, D. V. 1 2008 An estimate of irremovable nonconstant terms in the reducibility problem. Zbl 0838.34010 Treshchev, Dmitrij V. 1 1995 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 Weak convergence of measures in conservative systems. Zbl 1120.37002 Kozlov, V. V.; Treschev, D. V. 1 2005 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. 1 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. 3 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 10 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. 8 2016 Arnold diffusion in a neighborhood of strong resonances. Zbl 1362.37115 Davletshin, M. N.; Treschev, D. V. 2 2016 On the inclusion of a map into a flow. Zbl 1375.37057 Saulin, Sergey M.; Treschev, Dmitry V. 1 2016 Lagrangian tori near resonances of near-integrable Hamiltonian systems. Zbl 1378.70021 Medvedev, A. G.; Neishtadt, A. I.; Treschev, D. V. 21 2015 The anti-integrable limit. Zbl 1361.37056 Bolotin, S. V.; Treschev, D. V. 18 2015 On a conjugacy problem in billiard dynamics. Zbl 1359.37089 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. 23 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. 29 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. 11 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 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. 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. 18 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. 51 2004 Travelling waves in FPU lattices. Zbl 1060.37069 Treschev, Dmitry 10 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. 5 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. 40 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. 4 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. 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. 7 1997 Separatrix splitting from the point of view of symplectic geometry. Zbl 0915.58031 Treshchëv, D. V. 2 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. 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. 164 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. 36 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. 46 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. 15 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. 14 1986 all cited Publications top 5 cited Publications all top 5 Cited by 591 Authors 29 Vedyushkina, Viktoriya Viktorovna 24 Kozlov, Valeriĭ Vasil’evich 21 Treshchev, Dmitriĭ Valer’evich 18 Delshams, Amadeu 18 Fomenko, Anatoliĭ Timofeevich 18 Mamaev, Ivan Sergeevich 18 M-Seara, Tere 16 de la Llave, Rafael 13 Borisov, Alekseĭ Vladimirovich 13 Dragović, Vladimir 13 Kilin, Aleksandr Aleksandrovich 12 Bialy, Misha 12 Bolotin, Sergeĭ Vladimirovich 12 Guardia, Marcel 12 Kaloshin, Vadim Yu. 12 Rom-Kedar, Vered 12 Turaev, Dmitry V. 11 Mironov, Andreĭ Evgen’evich 11 Neĭshtadt, Anatoliĭ Iserovich 10 Cheng, Chong-Qing 10 Gidea, Marian 10 Radnović, Milena 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 Biasco, Luca 6 Chierchia, Luigi 6 Gelfreich, Vassili 6 Gutiérrez, Pere 6 Vasil’ev, Alekseĭ Alekseevich 5 Anikin, Anatolii Yur’evich 5 Belozerov, Gleb V. 5 Bizyaev, Ivan Alekseevich 5 Bogachev, Vladimir Igorevich 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 Bolsinov, Alexey V. 4 Damianou, Pantelis Andrea 4 Dymov, Andrey V. 4 Gajić, Borislav 4 Gonchenko, Marina S. 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 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 Froeschlé, Claude 3 Gabor, Grzegorz 3 Gasiorek, Sean 3 Gentile, Guido 3 Haller, George 3 Herrmann, Michael 3 Itin, A. P. 3 Ivanov, Aleksandr Pavlovich 3 Kholostova, Ol’ga Vladimirovna 3 Levi, Mark L. 3 Martín, Pau 3 Matthies, Karsten 3 Meiss, James D. 3 Ostrover, Yaron 3 Peralta-Salas, Daniel ...and 491 more Authors all top 5 Cited in 147 Serials 78 Regular and Chaotic Dynamics 33 Physica D 29 Journal of Differential Equations 27 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 Russian Mathematical Surveys 13 Theoretical and Mathematical Physics 13 Russian Journal of Mathematical Physics 13 Discrete and Continuous Dynamical Systems 12 Journal of Applied Mathematics and Mechanics 12 Prikladnaya Matematika i Mekhanika 11 Moscow University Mathematics Bulletin 10 Advances in Mathematics 10 Journal of Nonlinear Science 9 Ergodic Theory and Dynamical Systems 8 Journal of Mathematical Sciences (New York) 7 Journal of Geometry and Physics 7 Journal of Dynamics and Differential Equations 7 Russian Journal of Nonlinear Dynamics 6 Archive for Rational Mechanics and Analysis 6 Automation and Remote Control 6 Communications in Nonlinear Science and Numerical Simulation 6 Annales Henri Poincaré 5 Chaos, Solitons and Fractals 5 Celestial Mechanics and Dynamical Astronomy 5 Izvestiya: Mathematics 5 Differential Equations 5 SIAM Journal on Applied Dynamical Systems 4 Communications on Pure and Applied Mathematics 4 Journal of Mathematical Analysis and Applications 4 Journal of Statistical Physics 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 Functional Analysis and its Applications 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 Nelineĭnaya Dinamika 2 Mathematics in Engineering 2 Mechanics of Solids 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 Moscow University Mechanics Bulletin 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 1 Manuscripta Mathematica ...and 47 more Serials all top 5 Cited in 44 Fields 468 Dynamical systems and ergodic theory (37-XX) 302 Mechanics of particles and systems (70-XX) 98 Ordinary differential equations (34-XX) 43 Partial differential equations (35-XX) 43 Differential geometry (53-XX) 35 Statistical mechanics, structure of matter (82-XX) 24 Quantum theory (81-XX) 22 Fluid mechanics (76-XX) 21 Global analysis, analysis on manifolds (58-XX) 15 Mechanics of deformable solids (74-XX) 15 Optics, electromagnetic theory (78-XX) 14 Algebraic geometry (14-XX) 13 Operator theory (47-XX) 12 Numerical analysis (65-XX) 11 Probability theory and stochastic processes (60-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 10 Convex and discrete geometry (52-XX) 10 Systems theory; control (93-XX) 6 Geometry (51-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) 4 History and biography (01-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) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Special functions (33-XX) 2 General topology (54-XX) 2 Algebraic topology (55-XX) 2 Statistics (62-XX) 2 Computer science (68-XX) 2 Astronomy and astrophysics (85-XX) 1 Field theory and polynomials (12-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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