Edit Profile (opens in new tab) Treshchev, Dmitriĭ Valer’evich Compute Distance To: Compute Author ID: treshchev.dmitrij-v 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 more...less Homepage: http://www.mi.ras.ru/~treschev/index_e.html External Links: Wikidata · Math-Net.Ru · IdRef Documents Indexed: 104 Publications since 1986, including 3 Books 1 Contribution as Editor Co-Authors: 205 Co-Authors with 69 Joint Publications 4,836 Co-Co-Authors all top 5 Co-Authors 36 single-authored 27 Kozlov, Valeriĭ Vasil’evich 9 Neĭshtadt, Anatoliĭ Iserovich 8 Bolotin, Sergeĭ Vladimirovich 5 Novikov, Sergeĭ Petrovich 4 Bukhshtaber, Viktor Matveevich 4 Simó, Carles 4 Zubelevich, Oleg Èduardovich 3 Anosov, Dmitriĭ Viktorovich 3 Borisov, Alekseĭ Vladimirovich 3 Davydov, Alekseĭ Aleksandrovich 3 Ilyashenko, Yulij Sergeevich 3 Kashin, Boris Sergeevich 3 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 Faddeev, Lyudvig Dmitrievich 2 Gonchar, Andreĭ Aleksandrovich 2 Gonchenko, Sergey V. 2 Lando, Sergei K. 2 Lerman, Lev 2 Mamaev, Ivan Sergeevich 2 Parshin, Alexei N. 2 Pesin, Yakov Borisovich 2 Sadovnichiĭ, Viktor Antonovich 2 Shiryaev, Al’bert Nikolaevich 2 Shkalikov, Andreĭ Andreevich 2 Sidorenko, Vladislav V. 2 Sinaĭ, Yakov Grigor’evich 2 Turaev, Dmitry V. 2 Vasil’ev, Viktor Anatol’evich 2 Zajtsev, A. Yu. 1 Adyan, Sergeĭ Ivanovich 1 Afraimovich, Valentin S. 1 Akhmet’ev, Pëtr Mikhaĭlovich 1 Alexandrov, Victor A. 1 Anashkin, Oleg V. 1 Aptekarev, Alexander Ivanovich 1 Artem’ev, A. V. 1 Atabekyan, Varuzhan S. 1 Balandin, Dmitriĭ Vladimirovich 1 Barinova, M. K. 1 Belykh, Vladimir Nikitich 1 Besov, Konstantin O. 1 Bezdenezhnykh, A. N. 1 Biasco, Luca 1 Bogaevskij, Il’ya Aleksandrovich 1 Borodin, Petr A. 1 Bortakovskii, A. S. 1 Budak, A. B. 1 Bunimovich, Leonid Abramovich 1 Burlakov, Daniil 1 Chebochko, N. G. 1 Chierchia, Luigi 1 Chilina, E. E. 1 Chirka, Evgeni M. 1 Chubarikov, Vladimir Nikolaevich 1 Chugaĭnova, Anna Pavlova 1 Davletshin, Maksim Nikolaevich 1 Denisova, N. V. 1 Dobrokhotov, Sergei Yurievich 1 Dolbilin, Nikolaĭ Petrovich 1 Erokhovets, Nikolaĭ Yur’evich 1 Ershov, Yuriĭ Leonidovich 1 Fuchs, Dmitry Borisovich 1 Gaifullin, Alexander A. 1 Galkin, Oleg Evgen’evich 1 Galkina, Svetlana Yur’evna 1 Gamkrelidze, Revaz Valerianovich 1 Glysin, S. D. 1 Goncharov, Sergeĭ Savost’yanovich 1 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. 1 Gurevich, Elena Ya. 1 Gusein-Zade, Sabir M. 1 Ibragimov, Il’dar Abdullovich 1 Il’ichev, Andreĭ Teĭmurazovich 1 Isaenkova, Natal’ya Viktorovna 1 Ivanov, Simeon 1 Karapetyan, Aleksandr Vladilenovich 1 Kashchenko, Sergeĭ Aleksandrovich 1 Katok, Anatole 1 Kazakov, Alexey O. 1 Kesel’man, V. M. 1 Khovanskiĭ, Askold Georgievich 1 Kilin, Aleksandr Aleksandrovich 1 Kislyakov, Sergeĭ Vital’evich 1 Klimenko, Alexey V. ...and 106 more Co-Authors all top 5 Serials 16 Russian Mathematical Surveys 9 Regular and Chaotic Dynamics 8 Proceedings of the Steklov Institute of Mathematics 5 Mathematical Notes 5 Nonlinearity 4 Moscow University Mechanics Bulletin 4 Theoretical and Mathematical Physics 4 Russian Journal of 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 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 Journal of Mathematical Sciences (New York) 1 Sbornik: Mathematics 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 72 Dynamical systems and ergodic theory (37-XX) 34 Mechanics of particles and systems (70-XX) 18 Ordinary differential equations (34-XX) 14 History and biography (01-XX) 5 Quantum theory (81-XX) 4 Operator theory (47-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Differential geometry (53-XX) 2 Partial differential equations (35-XX) 2 Functional analysis (46-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 Measure and integration (28-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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 76 Publications have been cited 725 times in 509 Documents Cited by ▼ Year ▼ Billiards. A genetic introduction to the dynamics of systems with impacts. (Биллиарды. Генетическое введение в динамику систем с ударами.) Zbl 0751.70009Kozlov, V. V.; Treshchev, D. V. 107 1991 Evolution of slow variables in a priori unstable Hamiltonian systems. Zbl 1075.37019Treschev, D. 37 2004 The mechanism of destruction of resonance tori of Hamiltonian systems. Zbl 0737.58025Treshchev, D. V. 33 1990 Unbounded growth of energy in nonautonomous Hamiltonian systems. Zbl 0989.37050Bolotin, S.; Treschev, D. 29 1999 Introduction to the perturbation theory of Hamiltonian systems. Zbl 1181.37001Treschev, Dmitry; Zubelevich, Oleg 27 2010 Billiard map and rigid rotation. Zbl 1417.37139Treschev, D. 19 2013 Separatrix maps in Hamiltonian systems. Zbl 1151.37050Piftankin, G. N.; Treshchev, D. V. 18 2007 Multidimensional symplectic separatrix maps. Zbl 1022.37041Treschev, D. 17 2002 Stable periodic motions in the problem on passage through a separatrix. Zbl 1002.34029Neishtadt, A. I.; Sidorenko, V. V.; Treschev, D. V. 17 1997 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 0729.34027Kozlov, V. V.; Treshchev, D. V. 15 1991 Hill’s formula. Zbl 1369.37085Bolotin, S. V.; Treshchëv, D. V. 14 2010 Arnold diffusion far from strong resonances in multidimensional a priori unstable Hamiltonian systems. Zbl 1266.37026Treschev, D. 14 2012 Hyperbolic tori and asymptotic surfaces in Hamiltonian systems. Zbl 0910.58034Treshev, Dmitrij V. 14 1994 Splitting of separatrices for a pendulum with rapidly oscillating suspension point. Zbl 0947.34034Treschev, Dmitry V. 14 1997 Remarks on the definition of hyperbolic tori of Hamiltonian systems. Zbl 1005.70015Bolotin, S. V.; Treschev, D. V. 13 2000 Trajectories in a neighbourhood of asymptotic surfaces of a priori unstable Hamiltonian systems. Zbl 1031.37052Treschev, D. 13 2002 On the integrability of Hamiltonian systems with toral position space. Zbl 0696.58022Kozlov, V. V.; Treshchev, D. V. 13 1989 On the Hamiltonian property of linear dynamical systems in Hilbert space. Zbl 06769031Treshchev, D. V.; Shkalikov, A. A. 12 2017 Nonintegrability of general problem of rotation of a dynamically symmetrical heavy rigid body with a fixed point. Zbl 0701.70007Kozlov, V. V.; Treshchev, D. V. 12 1986 On a conjugacy problem in billiard dynamics. Zbl 1359.37089Treschev, D. V. 12 2015 The anti-integrable limit. Zbl 1361.37056Bolotin, S. V.; Treschev, D. V. 12 2015 Lagrangian tori near resonances of near-integrable Hamiltonian systems. Zbl 1378.70021Medvedev, A. G.; Neishtadt, A. I.; Treschev, D. V. 11 2015 Width of stochastic layers in near-integrable two-dimensional symplectic maps. Zbl 1038.37049Treschev, D. 11 1998 Self-propulsion of a body with rigid surface and variable coefficient of lift in a perfect fluid. Zbl 1344.70031Ramodanov, Sergey M.; Tenenev, Valentin A.; Treschev, Dmitry V. 10 2012 Weak convergence of solutions of the Liouville equation for nonlinear Hamiltonian systems. Zbl 1178.37050Kozlov, V. V.; Treshchev, D. V. 10 2003 Rolling of a rigid body without slipping and spinning: kinematics and dynamics. Zbl 1367.70006Borisov, A. V.; Mamaev, I. S.; Treschev, D. V. 9 2013 An averaging method for Hamiltonian systems, exponentially close to integrable ones. Zbl 1055.70509Treschev, Dmitry V. 9 1996 Fine-grained and coarse-grained entropy in problems of statistical mechanics. Zbl 1119.82005Kozlov, V. V.; Treshchev, D. V. 9 2007 Loss of stability in Hamiltonian systems that depend on parameters. Zbl 0799.58032Treshchev, D. V. 9 1992 Oscillator and thermostat. Zbl 1209.70014Treschev, Dmitry 8 2010 The method of continuous averaging in the problem of separation of fast and slow motions. Zbl 0923.34048Treshchev, D. V. 8 1997 On stability loss delay for a periodic trajectory. Zbl 0844.34045Neishtadt, A. I.; Simó, C.; Treschev, D. V. 8 1996 Stability islands in the vicinity of separatrices of near-integrable symplectic maps. Zbl 1153.37406Simó, Carles; Treschev, Dmitri 8 2008 Polynomial integrals of Hamiltonian systems with exponential interaction. Zbl 0727.58018Kozlov, V. V.; Treshchev, D. V. 8 1990 Continuous averaging in multi-frequency slow-fast systems. Zbl 0977.34040Pronin, A. V.; Treschev, D. V. 7 2000 On the inclusion of analytic maps into analytic flows. Zbl 0921.58024Pronin, Andrei V.; Treshchev, Dmitry V. 7 1997 Travelling waves in FPU lattices. Zbl 1060.37069Treschev, Dmitry 7 2004 Remarks on polynomial integrals of higher degrees for reversible systems with toral configuration space. Zbl 1261.37023Denisova, N. V.; Kozlov, V. V.; Treschev, D. V. 7 2012 Periodic orbits and stability islands in chaotic seas created by separatrix crossings in slow-fast systems. Zbl 1149.37032Neishtadt, Anatoly; Simó, Carles; Treschev, Dmitry; Vasiliev, Alexei 7 2008 Polynomial conservation laws in quantum systems. Zbl 1178.81158Kozlov, V. V.; Treshchev, D. V. 6 2004 A locally integrable multi-dimensional billiard system. Zbl 1368.37063Treschev, Dmitry 6 2017 Ball on a viscoelastic plane. Zbl 1293.35329Zobova, A. A.; Treschev, D. V. 5 2013 Stability of nearly integrable, degenerate Hamiltonian systems with two degrees of freedom. Zbl 1095.37027Biasco, L.; Chierchia, L.; Treschev, D. 5 2006 Invariant tori in Hamiltonian systems with two degrees of freedom in a neighborhood of a resonance. Zbl 0942.37042Treschev, D.; Zubelevich, O. 5 1998 On new forms of the ergodic theorem. Zbl 1021.37004Kozlov, V. V.; Treschev, D. V. 5 2003 Topology of the configuration space, singularities of the potential, and polynomial integrals of equations of dynamics. Zbl 1403.70009Kozlov, Valery V.; Treschev, Dmitrii V. 5 2016 Connection of the Morse index of a closed geodesic line with its stability. Zbl 0805.58018Treshchev, D. V. 4 1988 Evolution of measures in the phase space of nonlinear Hamiltonian systems. Zbl 1178.37049Kozlov, V. V.; Treshchev, D. V. 4 2003 Coarse-grained entropy in dynamical systems. Zbl 1203.37008Piftankin, G.; Treschev, D. 4 2010 Dynamics in a neighborhood of separatrices of an area-preserving map. Zbl 0929.37002Treschev, Dmitry 4 1998 A rigid body on a surface with random roughness. Zbl 1309.70006Burlakov, Daniil; Treschev, Dmitry 4 2014 Billiard transformations of parallel flows: a periscope theorem. Zbl 1373.49053Plakhov, Alexander; Tabachnikov, Serge; Treschev, Dmitry 4 2017 Polynomial integrals of Hamiltonian systems with exponential interaction. Zbl 0684.58012Kozlov, V. V.; Treshchev, D. V. 4 1989 Volume preserving diffeomorphisms as Poincaré maps for volume preserving flows. Zbl 1444.37018Treschev, Dmitriĭ V. 3 2020 On the question of the stability of the periodic trajectories of Birkhoff’s billiard. Zbl 0667.58033Treshchev, D. V. 3 1988 Relative version of the Titchmarsh convolution theorem. Zbl 1281.44007Gorin, E. A.; Treschev, D. V. 3 2012 Polymorphisms and adiabatic chaos. Zbl 1209.37035Neishtadt, A.; Treschev, D. 3 2011 Closures of asymptotic curves in a two-dimensional symplectic map. Zbl 0943.37011Treschev, D. 3 1998 Stability islands in domains of separatrix crossings in slow-fast Hamiltonian systems. Zbl 1153.37397Vasiliev, A. A.; Neishtadt, A. I.; Simó, C.; Treschev, D. V. 3 2007 Gibbs entropy and dynamics. Zbl 1307.37002Piftankin, G.; Treschev, D. 3 2008 On local integrability in billiard dynamics. Zbl 1423.37053Schastnyy, V.; Treschev, D. 3 2019 Instability of isolated equilibria of dynamical systems with invariant measure in spaces of odd dimension. Zbl 0962.34036Kozlov, V. V.; Treshchev, D. V. 2 1999 Continuous averaging in dynamical systems. Zbl 1033.37012Treschev, D. 2 2002 Quantum observables: an algebraic aspect. Zbl 1138.81458Treshchev, D. V. 2 2005 Noncommutative structures. Zbl 1161.58006Treschev, D. V. 2 2007 Kowalewski numbers of generalized Toda chains. Zbl 0686.58033Kozlov, V. V.; Treshchev, D. V. 2 1989 Instability, asymptotic trajectories and dimension of the phase space. Zbl 1416.37030Kozlov, V. V.; Treschev, D. V. 2 2018 On the conservation of invariant manifolds for Hamiltonian systems under perturbation. Zbl 0747.58033Treshchev, D. V. 1 1991 Weak convergence of measures in conservative systems. Zbl 1120.37002Kozlov, V. V.; Treschev, D. V. 1 2005 Loss of stability of periodic trajectories in Hamiltonian systems depending on parameter by a multiple collision at point \(-1\). Zbl 0884.70022Zajtsev, A. Yu.; Treshchev, D. V. 1 1996 An estimate of irremovable nonconstant terms in the reducibility problem. Zbl 0838.34010Treshchev, Dmitrij V. 1 1995 \( \mu \)-norm of an operator. Zbl 1453.81020Treschev, D. V. 1 2020 In memory of Evgenii Frolovich Mishchenko. Zbl 1302.01048Osipov, 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 Kovalevskaya numbers of generalized Toda chains. Zbl 0702.58066Kozlov, V. V.; Treshchev, D. V. 1 1989 On the inclusion of a map into a flow. Zbl 1375.37057Saulin, Sergey M.; Treschev, Dmitry V. 1 2016 Isochronicity in 1 DOF. Zbl 1484.34099Treschev, Dmitry V. 1 2022 Isochronicity in 1 DOF. Zbl 1484.34099Treschev, Dmitry V. 1 2022 Volume preserving diffeomorphisms as Poincaré maps for volume preserving flows. Zbl 1444.37018Treschev, Dmitriĭ V. 3 2020 \( \mu \)-norm of an operator. Zbl 1453.81020Treschev, D. V. 1 2020 On local integrability in billiard dynamics. Zbl 1423.37053Schastnyy, V.; Treschev, D. 3 2019 Instability, asymptotic trajectories and dimension of the phase space. Zbl 1416.37030Kozlov, V. V.; Treschev, D. V. 2 2018 On the Hamiltonian property of linear dynamical systems in Hilbert space. Zbl 06769031Treshchev, D. V.; Shkalikov, A. A. 12 2017 A locally integrable multi-dimensional billiard system. Zbl 1368.37063Treschev, Dmitry 6 2017 Billiard transformations of parallel flows: a periscope theorem. Zbl 1373.49053Plakhov, Alexander; Tabachnikov, Serge; Treschev, Dmitry 4 2017 Topology of the configuration space, singularities of the potential, and polynomial integrals of equations of dynamics. Zbl 1403.70009Kozlov, Valery V.; Treschev, Dmitrii V. 5 2016 On the inclusion of a map into a flow. Zbl 1375.37057Saulin, Sergey M.; Treschev, Dmitry V. 1 2016 On a conjugacy problem in billiard dynamics. Zbl 1359.37089Treschev, D. V. 12 2015 The anti-integrable limit. Zbl 1361.37056Bolotin, S. V.; Treschev, D. V. 12 2015 Lagrangian tori near resonances of near-integrable Hamiltonian systems. Zbl 1378.70021Medvedev, A. G.; Neishtadt, A. I.; Treschev, D. V. 11 2015 A rigid body on a surface with random roughness. Zbl 1309.70006Burlakov, Daniil; Treschev, Dmitry 4 2014 Billiard map and rigid rotation. Zbl 1417.37139Treschev, D. 19 2013 Rolling of a rigid body without slipping and spinning: kinematics and dynamics. Zbl 1367.70006Borisov, A. V.; Mamaev, I. S.; Treschev, D. V. 9 2013 Ball on a viscoelastic plane. Zbl 1293.35329Zobova, A. A.; Treschev, D. V. 5 2013 Arnold diffusion far from strong resonances in multidimensional a priori unstable Hamiltonian systems. Zbl 1266.37026Treschev, D. 14 2012 Self-propulsion of a body with rigid surface and variable coefficient of lift in a perfect fluid. Zbl 1344.70031Ramodanov, 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 1261.37023Denisova, N. V.; Kozlov, V. V.; Treschev, D. V. 7 2012 Relative version of the Titchmarsh convolution theorem. Zbl 1281.44007Gorin, E. A.; Treschev, D. V. 3 2012 Polymorphisms and adiabatic chaos. Zbl 1209.37035Neishtadt, A.; Treschev, D. 3 2011 Introduction to the perturbation theory of Hamiltonian systems. Zbl 1181.37001Treschev, Dmitry; Zubelevich, Oleg 27 2010 Hill’s formula. Zbl 1369.37085Bolotin, S. V.; Treshchëv, D. V. 14 2010 Oscillator and thermostat. Zbl 1209.70014Treschev, Dmitry 8 2010 Coarse-grained entropy in dynamical systems. Zbl 1203.37008Piftankin, G.; Treschev, D. 4 2010 In memory of Evgenii Frolovich Mishchenko. Zbl 1302.01048Osipov, 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 1153.37406Simó, Carles; Treschev, Dmitri 8 2008 Periodic orbits and stability islands in chaotic seas created by separatrix crossings in slow-fast systems. Zbl 1149.37032Neishtadt, Anatoly; Simó, Carles; Treschev, Dmitry; Vasiliev, Alexei 7 2008 Gibbs entropy and dynamics. Zbl 1307.37002Piftankin, G.; Treschev, D. 3 2008 Separatrix maps in Hamiltonian systems. Zbl 1151.37050Piftankin, G. N.; Treshchev, D. V. 18 2007 Fine-grained and coarse-grained entropy in problems of statistical mechanics. Zbl 1119.82005Kozlov, V. V.; Treshchev, D. V. 9 2007 Stability islands in domains of separatrix crossings in slow-fast Hamiltonian systems. Zbl 1153.37397Vasiliev, A. A.; Neishtadt, A. I.; Simó, C.; Treschev, D. V. 3 2007 Noncommutative structures. Zbl 1161.58006Treschev, D. V. 2 2007 Stability of nearly integrable, degenerate Hamiltonian systems with two degrees of freedom. Zbl 1095.37027Biasco, L.; Chierchia, L.; Treschev, D. 5 2006 Quantum observables: an algebraic aspect. Zbl 1138.81458Treshchev, D. V. 2 2005 Weak convergence of measures in conservative systems. Zbl 1120.37002Kozlov, V. V.; Treschev, D. V. 1 2005 Evolution of slow variables in a priori unstable Hamiltonian systems. Zbl 1075.37019Treschev, D. 37 2004 Travelling waves in FPU lattices. Zbl 1060.37069Treschev, Dmitry 7 2004 Polynomial conservation laws in quantum systems. Zbl 1178.81158Kozlov, V. V.; Treshchev, D. V. 6 2004 Weak convergence of solutions of the Liouville equation for nonlinear Hamiltonian systems. Zbl 1178.37050Kozlov, V. V.; Treshchev, D. V. 10 2003 On new forms of the ergodic theorem. Zbl 1021.37004Kozlov, V. V.; Treschev, D. V. 5 2003 Evolution of measures in the phase space of nonlinear Hamiltonian systems. Zbl 1178.37049Kozlov, V. V.; Treshchev, D. V. 4 2003 Multidimensional symplectic separatrix maps. Zbl 1022.37041Treschev, D. 17 2002 Trajectories in a neighbourhood of asymptotic surfaces of a priori unstable Hamiltonian systems. Zbl 1031.37052Treschev, D. 13 2002 Continuous averaging in dynamical systems. Zbl 1033.37012Treschev, D. 2 2002 Remarks on the definition of hyperbolic tori of Hamiltonian systems. Zbl 1005.70015Bolotin, S. V.; Treschev, D. V. 13 2000 Continuous averaging in multi-frequency slow-fast systems. Zbl 0977.34040Pronin, A. V.; Treschev, D. V. 7 2000 Unbounded growth of energy in nonautonomous Hamiltonian systems. Zbl 0989.37050Bolotin, S.; Treschev, D. 29 1999 Instability of isolated equilibria of dynamical systems with invariant measure in spaces of odd dimension. Zbl 0962.34036Kozlov, V. V.; Treshchev, D. V. 2 1999 Width of stochastic layers in near-integrable two-dimensional symplectic maps. Zbl 1038.37049Treschev, D. 11 1998 Invariant tori in Hamiltonian systems with two degrees of freedom in a neighborhood of a resonance. Zbl 0942.37042Treschev, D.; Zubelevich, O. 5 1998 Dynamics in a neighborhood of separatrices of an area-preserving map. Zbl 0929.37002Treschev, Dmitry 4 1998 Closures of asymptotic curves in a two-dimensional symplectic map. Zbl 0943.37011Treschev, D. 3 1998 Stable periodic motions in the problem on passage through a separatrix. Zbl 1002.34029Neishtadt, A. I.; Sidorenko, V. V.; Treschev, D. V. 17 1997 Splitting of separatrices for a pendulum with rapidly oscillating suspension point. Zbl 0947.34034Treschev, Dmitry V. 14 1997 The method of continuous averaging in the problem of separation of fast and slow motions. Zbl 0923.34048Treshchev, D. V. 8 1997 On the inclusion of analytic maps into analytic flows. Zbl 0921.58024Pronin, Andrei V.; Treshchev, Dmitry V. 7 1997 An averaging method for Hamiltonian systems, exponentially close to integrable ones. Zbl 1055.70509Treschev, Dmitry V. 9 1996 On stability loss delay for a periodic trajectory. Zbl 0844.34045Neishtadt, A. I.; Simó, C.; Treschev, D. V. 8 1996 Loss of stability of periodic trajectories in Hamiltonian systems depending on parameter by a multiple collision at point \(-1\). Zbl 0884.70022Zajtsev, A. Yu.; Treshchev, D. V. 1 1996 An estimate of irremovable nonconstant terms in the reducibility problem. Zbl 0838.34010Treshchev, Dmitrij V. 1 1995 Hyperbolic tori and asymptotic surfaces in Hamiltonian systems. Zbl 0910.58034Treshev, Dmitrij V. 14 1994 Loss of stability in Hamiltonian systems that depend on parameters. Zbl 0799.58032Treshchev, D. V. 9 1992 Billiards. A genetic introduction to the dynamics of systems with impacts. (Биллиарды. Генетическое введение в динамику систем с ударами.) Zbl 0751.70009Kozlov, V. V.; Treshchev, D. V. 107 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 0729.34027Kozlov, V. V.; Treshchev, D. V. 15 1991 On the conservation of invariant manifolds for Hamiltonian systems under perturbation. Zbl 0747.58033Treshchev, D. V. 1 1991 The mechanism of destruction of resonance tori of Hamiltonian systems. Zbl 0737.58025Treshchev, D. V. 33 1990 Polynomial integrals of Hamiltonian systems with exponential interaction. Zbl 0727.58018Kozlov, V. V.; Treshchev, D. V. 8 1990 On the integrability of Hamiltonian systems with toral position space. Zbl 0696.58022Kozlov, V. V.; Treshchev, D. V. 13 1989 Polynomial integrals of Hamiltonian systems with exponential interaction. Zbl 0684.58012Kozlov, V. V.; Treshchev, D. V. 4 1989 Kowalewski numbers of generalized Toda chains. Zbl 0686.58033Kozlov, V. V.; Treshchev, D. V. 2 1989 Kovalevskaya numbers of generalized Toda chains. Zbl 0702.58066Kozlov, V. V.; Treshchev, D. V. 1 1989 Connection of the Morse index of a closed geodesic line with its stability. Zbl 0805.58018Treshchev, D. V. 4 1988 On the question of the stability of the periodic trajectories of Birkhoff’s billiard. Zbl 0667.58033Treshchev, D. V. 3 1988 Nonintegrability of general problem of rotation of a dynamically symmetrical heavy rigid body with a fixed point. Zbl 0701.70007Kozlov, V. V.; Treshchev, D. V. 12 1986 all cited Publications top 5 cited Publications all top 5 Cited by 462 Authors 22 Kozlov, Valeriĭ Vasil’evich 18 Mamaev, Ivan Sergeevich 17 Treshchev, Dmitriĭ Valer’evich 16 Delshams, Amadeu 16 Vedyushkina, Viktoriya Viktorovna 14 M-Seara, Tere 13 Borisov, Alekseĭ Vladimirovich 13 Fomenko, Anatoliĭ Timofeevich 12 de la Llave, Rafael 12 Kilin, Aleksandr Aleksandrovich 11 Bialy, Misha 11 Kaloshin, Vadim Yu. 10 Mironov, Andreĭ Evgen’evich 10 Turaev, Dmitry V. 9 Bolotin, Sergeĭ Vladimirovich 9 Rom-Kedar, Vered 9 Simó, Carles 8 Cheng, Chong-Qing 8 Hu, Xijun 8 Vetchanin, Evgeniĭ Vladimirovich 7 Guardia, Marcel 7 Neĭshtadt, Anatoliĭ Iserovich 6 Dragović, Vladimir 6 Fontich, Ernest 6 Gelfreich, Vassili 6 Gidea, Marian 6 Gutiérrez, Pere 6 Guzzo, Massimiliano 6 Li, Yong 6 Ramírez-Ros, Rafael 6 Tabachnikov, Serge L. 5 Bizyaev, Ivan Alekseevich 5 Bogachev, Vladimir Igorevich 5 Burov, Aleksandr Anatol’evich 5 Fokicheva, Victoria V. 5 Galyaev, Andrey A. 5 Lerman, Lev 5 Markeev, Anatoliĭ Pavlovich 5 Radnović, Milena 5 Wang, Penghui 5 Wiggins, Stephen 5 Yi, Yingfei 4 Agapov, Sergei Vadimovich 4 Bounemoura, Abed Bounemoura 4 Damianou, Pantelis Andrea 4 Dymov, Andrey V. 4 Gonchenko, Marina S. 4 Karavaev, Yurĭ Leonidovich 4 Lega, Elena 4 Maciejewski, Andrzej J. 4 Niederman, Laurent 4 Pivovarova, Elena Nikolaevna 4 Sevryuk, Mikhail Borisovich 4 Sorrentino, Alfonso 4 Vasil’ev, Alekseĭ Alekseevich 4 Vidal, Claudio 4 Vieiro, Arturo 4 Zobova, Alexandra A. 4 Zubelevich, Oleg Èduardovich 3 Baldomá, Inmaculada 3 Bernard, Patrick 3 Biasco, Luca 3 Bolsinov, Alexey V. 3 Chierchia, Luigi 3 Féjoz, Jacques 3 Froeschlé, Claude 3 Gasiorek, Sean 3 Haller, George 3 Ivanov, Aleksandr Pavlovich 3 Kholostova, Ol’ga Vladimirovna 3 Martín, Pau 3 Meiss, James D. 3 Paleari, Simone 3 Penati, Tiziano 3 Peralta-Salas, Daniel 3 Przybylska, Maria 3 Qian, Weichao 3 Sansottera, Marco 3 Saulin, Sergeĭ Mikhaĭlovich 3 Trushechkin, Anton Sergeevich 3 Volovich, Igor’ Vasil’evich 3 Xu, Junxiang 3 Yang, Ran 3 Yang, Xue 3 Zelditch, Steve 2 Adzhiev, S. Z. 2 Andrade, Jaime 2 Anikin, A. Yu. 2 Brogliato, Bernard 2 Butler, Leo T. 2 Castejón, Oriol 2 Cresson, Jacky 2 Danesi, Veronica 2 Davletshin, Maksim Nikolaevich 2 Deng, Yanxia 2 Dobrokhotov, Sergei Yurievich 2 Erdakova, Nadezhda N. 2 Gajić, Borislav 2 Gentile, Guido 2 Golubtsov, Pavel E. ...and 362 more Authors all top 5 Cited in 120 Serials 69 Regular and Chaotic Dynamics 26 Physica D 25 Journal of Differential Equations 23 Proceedings of the Steklov Institute of Mathematics 19 Chaos 16 Nonlinearity 15 Doklady Mathematics 13 Communications in Mathematical Physics 13 Mathematical Notes 12 Journal of Applied Mathematics and Mechanics 12 Russian Mathematical Surveys 12 Prikladnaya Matematika i Mekhanika 11 Russian Journal of Mathematical Physics 10 Theoretical and Mathematical Physics 9 Discrete and Continuous Dynamical Systems 8 Moscow University Mathematics Bulletin 8 Ergodic Theory and Dynamical Systems 8 Journal of Nonlinear Science 7 Advances in Mathematics 6 Journal of Geometry and Physics 6 Journal of Mathematical Sciences (New York) 6 Sbornik: Mathematics 6 Annales Henri Poincaré 5 Automation and Remote Control 5 Celestial Mechanics and Dynamical Astronomy 5 Journal of Dynamics and Differential Equations 5 Russian Journal of Nonlinear Dynamics 4 Archive for Rational Mechanics and Analysis 4 Journal of Statistical Physics 4 Annals of Mathematics. Second Series 4 Communications in Nonlinear Science and Numerical Simulation 3 Chaos, Solitons and Fractals 3 Functional Analysis and its Applications 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Proceedings of the American Mathematical Society 3 Transactions of the American Mathematical Society 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Experimental Mathematics 3 Journal of the European Mathematical Society (JEMS) 3 Differential Equations 3 SIAM Journal on Applied Dynamical Systems 3 Science China. Mathematics 3 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 2 Journal of Mathematical Analysis and Applications 2 Journal of Mathematical Physics 2 Physica A 2 Annales de l’Institut Fourier 2 Inventiones Mathematicae 2 Mathematische Annalen 2 Siberian Mathematical Journal 2 Transactions of the Moscow Mathematical Society 2 Geometric and Functional Analysis. GAFA 2 Annals of Physics 2 Annales de l’Institut Henri Poincaré. Physique Théorique 2 Multibody System Dynamics 2 Journal of Dynamical and Control Systems 2 Lobachevskii Journal of Mathematics 2 Qualitative Theory of Dynamical Systems 2 Theoretical and Applied Mechanics 2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 International Journal of Modern Physics B 1 Acta Mechanica 1 Applicable Analysis 1 Classical and Quantum Gravity 1 Communications on Pure and Applied Mathematics 1 International Journal of Theoretical Physics 1 Israel Journal of Mathematics 1 Journal of Mathematical Biology 1 Moscow University Mechanics Bulletin 1 Physics Reports 1 Reviews in Mathematical Physics 1 Acta Mathematica 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Automatica 1 Colloquium Mathematicum 1 Duke Mathematical Journal 1 Glasgow Mathematical Journal 1 Journal of Functional Analysis 1 Manuscripta Mathematica 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Pacific Journal of Mathematics 1 Zeitschrift für Analysis und ihre Anwendungen 1 Journal of the American Mathematical Society 1 Asymptotic Analysis 1 European Journal of Applied Mathematics 1 Computational Mathematics and Modeling 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 The Annals of Applied Probability 1 Numerical Algorithms 1 L’Enseignement Mathématique. 2e Série 1 European Journal of Operational Research 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Bulletin of the American Mathematical Society. New Series 1 Chinese Science Bulletin 1 Archive of Applied Mechanics 1 Vestnik St. Petersburg University. Mathematics 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Physics of Fluids 1 St. Petersburg Mathematical Journal ...and 20 more Serials all top 5 Cited in 39 Fields 358 Dynamical systems and ergodic theory (37-XX) 228 Mechanics of particles and systems (70-XX) 74 Ordinary differential equations (34-XX) 33 Partial differential equations (35-XX) 28 Differential geometry (53-XX) 28 Statistical mechanics, structure of matter (82-XX) 19 Quantum theory (81-XX) 18 Global analysis, analysis on manifolds (58-XX) 18 Fluid mechanics (76-XX) 11 Optics, electromagnetic theory (78-XX) 10 Operator theory (47-XX) 9 Probability theory and stochastic processes (60-XX) 9 Mechanics of deformable solids (74-XX) 8 Algebraic geometry (14-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 8 Numerical analysis (65-XX) 6 Convex and discrete geometry (52-XX) 5 Systems theory; control (93-XX) 4 Measure and integration (28-XX) 3 History and biography (01-XX) 3 Functional analysis (46-XX) 3 Relativity and gravitational theory (83-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 Difference and functional equations (39-XX) 2 Integral equations (45-XX) 2 Algebraic topology (55-XX) 2 Statistics (62-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Field theory and polynomials (12-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 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 Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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