Regular and Chaotic DynamicsInternational Scientific Journal Short Title: Regul. Chaotic Dyn. Publisher: Springer US, New York, NY; Pleiades Publishing, New York, NY; MAIK “Nauka/Interperiodica”, Moscow ISSN: 1560-3547; 1468-4845/e Online: https://link.springer.com/journal/11819/volumes-and-issueshttp://rcd.ics.org.ru Predecessor: Regularnaya & Khaoticheskaya Dinamika Comments: Journal; Indexed cover-to-cover Documents Indexed: 1,155 Publications (since 1998) References Indexed: 808 Publications with 22,507 References. all top 5 Latest Issues 28, No. 4-5 (2023) 28, No. 3 (2023) 28, No. 2 (2023) 28, No. 1 (2023) 27, No. 6 (2022) 27, No. 5 (2022) 27, No. 4 (2022) 27, No. 3 (2022) 27, No. 2 (2022) 27, No. 1 (2022) 26, No. 6 (2021) 26, No. 5 (2021) 26, No. 4 (2021) 26, No. 3 (2021) 26, No. 2 (2021) 26, No. 1 (2021) 25, No. 6 (2020) 25, No. 5 (2020) 25, No. 4 (2020) 25, No. 3 (2020) 25, No. 2 (2020) 25, No. 1 (2020) 24, No. 6 (2019) 24, No. 5 (2019) 24, No. 4 (2019) 24, No. 3 (2019) 24, No. 2 (2019) 24, No. 1 (2019) 23, No. 7-8 (2018) 23, No. 6 (2018) 23, No. 5 (2018) 23, No. 4 (2018) 23, No. 3 (2018) 23, No. 2 (2018) 23, No. 1 (2018) 22, No. 8 (2017) 22, No. 7 (2017) 22, No. 6 (2017) 22, No. 5 (2017) 22, No. 4 (2017) 22, No. 3 (2017) 22, No. 2 (2017) 22, No. 1 (2017) 21, No. 7-8 (2016) 21, No. 6 (2016) 21, No. 5 (2016) 21, No. 4 (2016) 21, No. 3 (2016) 21, No. 2 (2016) 21, No. 1 (2016) 20, No. 6 (2015) 20, No. 5 (2015) 20, No. 4 (2015) 20, No. 3 (2015) 20, No. 2 (2015) 20, No. 1 (2015) 19, No. 6 (2014) 19, No. 5 (2014) 19, No. 4 (2014) 19, No. 3 (2014) 19, No. 2 (2014) 19, No. 1 (2014) 18, No. 6 (2013) 18, No. 5 (2013) 18, No. 4 (2013) 18, No. 3 (2013) 18, No. 1-2 (2013) 17, No. 6 (2012) 17, No. 5 (2012) 17, No. 3-4 (2012) 17, No. 2 (2012) 17, No. 1 (2012) 16, No. 6 (2011) 16, No. 5 (2011) 16, No. 3-4 (2011) 16, No. 1-2 (2011) 15, No. 6 (2010) 15, No. 4-5 (2010) 15, No. 2-3 (2010) 15, No. 1 (2010) 14, No. 6 (2009) 14, No. 4-5 (2009) 14, No. 3 (2009) 14, No. 2 (2009) 14, No. 1 (2009) 13, No. 6 (2008) 13, No. 5 (2008) 13, No. 4 (2008) 13, No. 3 (2008) 13, No. 2 (2008) 13, No. 1 (2008) 12, No. 6 (2007) 12, No. 5 (2007) 12, No. 4 (2007) 12, No. 3 (2007) 12, No. 2 (2007) 12, No. 1 (2007) 11, No. 4 (2006) 11, No. 3 (2006) 11, No. 2 (2006) ...and 31 more Volumes all top 5 Authors 95 Borisov, Alekseĭ Vladimirovich 84 Mamaev, Ivan Sergeevich 43 Kilin, Aleksandr Aleksandrovich 30 Tsyganov, Andreĭ Vladimirovich 29 Kozlov, Valeriĭ Vasil’evich 25 Kudryashov, Nikolaĭ Alekseevich 22 Bizyaev, Ivan Alekseevich 18 Kuznetsov, Sergey P. 17 Dragović, Vladimir 17 Wiggins, Stephen R. 16 Gonchenko, Sergey V. 13 Markeev, Anatoliĭ Pavlovich 12 Bardin, Boris Sabirovich 11 Ivanov, Aleksandr Pavlovich 11 Morozov, Al’bert Dmitrievich 11 Przybylska, Maria 11 Treshchev, Dmitriĭ Valer’evich 10 Bolotin, Sergeĭ Vladimirovich 10 Grammaticos, Basil 10 Neĭshtadt, Anatoliĭ Iserovich 10 Simó, Carles 10 Turaev, Dmitry V. 9 Pivovarova, Elena Nikolaevna 9 Vidal, Claudio 8 Albouy, Alain 8 Carton, Xavier J. 8 Gajić, Borislav 8 Ivanov, Alexey V. 8 Kazakov, Alexey O. 8 Sevryuk, Mikhail Borisovich 8 Vetchanin, Evgeniĭ Vladimirovich 7 Bolsinov, Alexey V. 7 Cushman, Richard H. 7 Dullin, Holger R. 7 Fassò, Francesco 7 Grines, Vyacheslav Zigmundovich 7 Kharlamov, Mikhail Pavlovich 7 Kurakin, Leonid Gennadievich 7 Lerman, Lev 7 Maciejewski, Andrzej J. 7 O’Neil, Kevin Anthony 7 Pochinka, Ol’ga Vital’evna 7 Ramani, Alfred 7 Rauch-Wojciechowski, Stefan 7 Sokolovskiy, Mikhail A. 6 Anishchenko, Vadim Semenovich 6 Broer, Henk W. 6 Cabral, Hildeberto Eulalio 6 Chaplygin, Sergeĭ Alekseevich 6 Chenciner, Alain 6 Chierchia, Luigi 6 Damianou, Pantelis Andrea 6 Osipov, Grigory V. 6 Radnović, Milena 6 Ryabov, Pavel Evgen’evich 6 Yehia, Hamad M. 5 Bounemoura, Abed Bounemoura 5 Celletti, Alessandra 5 Demina, Maria V. 5 Fedorov, Yuri N. 5 Karavaev, Yurĭ Leonidovich 5 Koiller, Jair 5 Miranda, Eva 5 Sataev, Igor’ Rustamovich 5 Shafarevich, Andreĭ Igorevich 5 Stremler, Mark A. 4 Artemova, Elizaveta Markovna 4 Biswas, Anjan 4 Bogoyavlenskij, Oleg Igorevich 4 Burov, Aleksandr Anatol’evich 4 Chekina, Evgeniya Alekseevna 4 Delshams, Amadeu 4 Dritschel, David Gerard 4 Elipe, Antonio 4 Féjoz, Jacques 4 Gal’perin, G. A. 4 García-Naranjo, Luis C. 4 Gelfreich, Vassili 4 Gonchenko, Marina S. 4 Guha, Partha 4 Guzzo, Massimiliano 4 Hanßmann, Heinz 4 Holmes, Philip J. 4 Inozemtsev, Vladimir I. 4 Jovanović, Božidar Žarko 4 Lanchares, Víctor 4 Meiss, James D. 4 Meyer, Kenneth R. 4 Negrini, Piero 4 Novokshenov, Viktor Yur’evich 4 Ostrovskaya, Irina V. 4 Ovsyannikov, Ivan I. 4 Polekhin, Ivan Yu. 4 Ramodanov, Sergey M. 4 Reinaud, Jean N. 4 Rudnev, Misha 4 Sachkov, Yuriĭ Leonidovich 4 Sansonetto, Nicola 4 Shilnikov, Andrey L. 4 Sinaĭ, Yakov Grigor’evich ...and 944 more Authors all top 5 Fields 747 Dynamical systems and ergodic theory (37-XX) 603 Mechanics of particles and systems (70-XX) 199 Ordinary differential equations (34-XX) 134 Fluid mechanics (76-XX) 87 Differential geometry (53-XX) 55 Partial differential equations (35-XX) 41 History and biography (01-XX) 30 Statistical mechanics, structure of matter (82-XX) 27 Biology and other natural sciences (92-XX) 24 Global analysis, analysis on manifolds (58-XX) 24 Mechanics of deformable solids (74-XX) 24 Quantum theory (81-XX) 22 Algebraic geometry (14-XX) 22 Numerical analysis (65-XX) 20 Systems theory; control (93-XX) 19 Difference and functional equations (39-XX) 15 Optics, electromagnetic theory (78-XX) 14 Special functions (33-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 13 Manifolds and cell complexes (57-XX) 11 Geophysics (86-XX) 10 Topological groups, Lie groups (22-XX) 9 General and overarching topics; collections (00-XX) 8 Number theory (11-XX) 8 Measure and integration (28-XX) 8 Probability theory and stochastic processes (60-XX) 7 Nonassociative rings and algebras (17-XX) 7 Operator theory (47-XX) 6 Functions of a complex variable (30-XX) 6 Computer science (68-XX) 6 Relativity and gravitational theory (83-XX) 5 Combinatorics (05-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Convex and discrete geometry (52-XX) 5 General topology (54-XX) 4 Real functions (26-XX) 4 Approximations and expansions (41-XX) 3 Commutative algebra (13-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Field theory and polynomials (12-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Potential theory (31-XX) 2 Integral equations (45-XX) 2 Algebraic topology (55-XX) 2 Operations research, mathematical programming (90-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX) 1 Astronomy and astrophysics (85-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 892 Publications have been cited 6,465 times in 3,366 Documents Cited by ▼ Year ▼ Invariant tori in non-degenerate nearly integrable Hamiltonian systems. Zbl 0992.37050 Rüssmann, H. 107 2001 Rolling of a rigid body on a plane and sphere. Hierarchy of dynamics. Zbl 1058.70009 Borisov, A. V.; Mamaev, I. S. 75 2002 Conservation laws, hierarchy of dynamics and explicit integration of nonholonomic systems. Zbl 1229.70038 Borisov, A. V.; Mamaev, I. S. 71 2008 On the theory of motion of nonholonomic systems. The reducing-multiplier theorem. Translated from the Russian 1911 original. Zbl 1229.37082 Chaplygin, S. A. 68 2008 The hierarchy of dynamics of a rigid body rolling without slipping and spinning on a plane and a sphere. Zbl 1367.70007 Borisov, Alexey V.; Mamaev, Ivan S.; Bizyaev, Ivan A. 64 2013 Rolling of a ball on a surface. New integrals and hierarchy of dynamics. Zbl 1058.70010 Borisov, A. V.; Mamaev, I. S.; Kilin, A. A. 61 2002 How to control Chaplygin’s sphere using rotors. Zbl 1264.37016 Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S. 55 2012 Richness of chaotic dynamics in nonholonomic models of a Celtic stone. Zbl 1417.37222 Gonchenko, Alexander S.; Gonchenko, Sergey V.; Kazakov, Alexey O. 54 2013 On a ball’s rolling on a horizontal plane. Translated from the Russian 1903 original. Zbl 1058.70003 Chaplygin, S. A. 51 2002 Invariant curves of analytic perturbed nontwist area preserving maps. Zbl 0932.37048 Simó, C. 48 1998 Trajectory equivalence and corresponding integrals. Zbl 0928.37003 Matveev, V. S.; Topalov, P. Ĭ. 43 1998 How to control the Chaplygin ball using rotors. II. Zbl 1303.37021 Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S. 42 2013 The problem of drift and recurrence for the rolling Chaplygin ball. Zbl 1286.70007 Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S. 40 2013 On the integration theory of equations of nonholonomic mechanics. Zbl 1006.37040 Kozlov, V. V. 38 2002 The reversal and chaotic attractor in the nonholonomic model of Chaplygin’s top. Zbl 1358.70006 Borisov, Alexey V.; Kazakov, Alexey O.; Sataev, Igor R. 37 2014 Hamiltonization of non-holonomic systems in the neighborhood of invariant manifolds. Zbl 1309.37049 Bolsinov, A. V.; Borisov, A. V.; Mamaev, I. S. 37 2011 Two-body problem on a sphere. Reduction, stochasticity, periodic orbits. Zbl 1065.37058 Borisov, A. V.; Mamaev, I. S.; Kilin, A. A. 36 2004 Symmetries and reduction in nonholonomic mechanics. Zbl 1342.37001 Borisov, Alexey V.; Mamaev, Ivan S. 36 2015 Dynamical phenomena occurring due to phase volume compression in nonholonomic model of the rattleback. Zbl 1263.74021 Borisov, Alexey V.; Jalnine, Alexey Yu.; Kuznetsov, Sergey P.; Sataev, Igor R.; Sedova, Julia V. 35 2012 The dynamics of Chaplygin ball: the qualitative and computer analysis. Zbl 1074.70513 Kilin, A. A. 34 2001 Chaplygin ball over a fixed sphere: an explicit integration. Zbl 1229.37080 Borisov, A. V.; Fedorov, Yu. N.; Mamaev, I. S. 33 2008 On integrability of Hirota-Kimura type discretizations. Zbl 1258.37067 Petrera, Matteo; Pfadler, Andreas; Suris, Yuri B. 33 2011 Quasi-periodic bifurcations of invariant circles in low-dimensional dissipative dynamical systems. Zbl 1225.37087 Vitolo, Renato; Broer, Henk; Simó, Carles 32 2011 The dynamics and control of a spherical robot with an internal omniwheel platform. Zbl 1317.93192 Karavaev, Yury L.; Kilin, Alexander A. 32 2015 Bifurcations of Liouville tori in elliptical billiards. Zbl 1229.37065 Dragović, V.; Radnović, M. 31 2009 Chaotic dynamics of three-dimensional Hénon maps that originate from a homoclinic bifurcation. Zbl 1164.37306 Gonchenko, S. V.; Meiss, J. D.; Ovsyannikov, I. I. 31 2006 The Jacobi integral in nonholonomic mechanics. Zbl 1367.70036 Borisov, Alexey V.; Mamaev, Ivan. S.; Bizyaev, Ivan. A. 31 2015 Popular ansatz methods and solitary wave solutions of the Kuramoto-Sivashinsky equation. Zbl 1229.34008 Kudryashov, N. A.; Soukharev, M. B. 30 2009 On a paper of Moeckel on central configurations. Zbl 1061.70006 Albouy, A. 29 2003 Mock (false) theta functions as quantum invariants. Zbl 1133.57301 Hikami, K. 28 2005 Hamiltonicity and integrability of the Suslov problem. Zbl 1277.70008 Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S. 28 2011 Rubber rolling over a sphere. Zbl 1229.37089 Koiller, Jair; Ehlers, Kurt 28 2007 Asymptotic stability and associated problems of dynamics of falling rigid body. Zbl 1229.37107 Borisov, A. V.; Kozlov, V. V.; Mamaev, I. S. 28 2007 Spherical robot of combined type: dynamics and control. Zbl 1339.93081 Kilin, Alexander A.; Pivovarova, Elena N.; Ivanova, Tatyana B. 28 2015 Strange attractors and mixed dynamics in the problem of an unbalanced rubber ball rolling on a plane. Zbl 1417.37223 Kazakov, Alexey O. 28 2013 The Chaplygin sleigh with parametric excitation: chaotic dynamics and nonholonomic acceleration. Zbl 1398.37056 Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S. 28 2017 Billiard dynamics: a survey with the emphasis on open problems. Zbl 1023.37022 Gutkin, E. 27 2003 Dynamics of rolling disk. Zbl 1112.37320 Borisov, A. V.; Mamaev, I. S.; Kilin, A. A. 26 2003 The dynamics of nonholonomic systems consisting of a spherical shell with a moving rigid body inside. Zbl 1308.70003 Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S. 26 2014 Solitary and periodic solutions of the generalized Kuramoto-Sivashinsky equation. Zbl 1229.35229 Kudryashov, N. A. 25 2008 Higher dimensional continued fractions. Zbl 1044.11596 Arnold, V. I. 24 1998 KAM à la R. Zbl 1219.37044 Pöschel, Jürgen 23 2011 On global bifurcations in three-dimensional diffeomorphisms leading to wild Lorenz-like attractors. Zbl 1229.37041 Gonchenko, S. V.; Shilnikov, L. P.; Turaev, D. V. 23 2009 Dynamics and statics of vortices on a plane and a sphere. I. Zbl 0934.76014 Borisov, A. V.; Pavlov, A. E. 23 1998 On a motion of a heavy body of revolution on a horizontal plane. Translated from the Russian 1897 original. Zbl 1058.70002 Chaplygin, S. A. 23 2002 The role of normally hyperbolic invariant manifolds (NHIMS) in the context of the phase space setting for chemical reaction dynamics. Zbl 1369.34068 Wiggins, Stephen 23 2016 Simultaneous separation for the Neumann and Chaplygin systems. Zbl 1325.37052 Tsiganov, Andrey 23 2015 Rolling of a ball without spinning on a plane: the absence of an invariant measure in a system with a complete set of integrals. Zbl 1267.37066 Bolsinov, Alexey V.; Borisov, Alexey V.; Mamaev, Ivan S. 23 2012 Nekhoroshev-stability of \(L4\) and \(L5\) in the spatial restricted three-body problem. Zbl 0934.70010 Benettin, G.; Fassò, F.; Guzzo, M. 22 1998 Total collison, completely parabolic motions and homothety reduction in the \(n\)-body problem. (Collisions totales, mouvements complètement paraboliques et réduction des homothéties dans le problème des \(n\) corps.) Zbl 0973.70011 Chenciner, A. 22 1998 Bi-Hamiltonian structures and singularities of integrable systems. Zbl 1229.37092 Bolsinov, A. V.; Oshemkov, A. A. 22 2009 On the Hadamard-Hamel problem and the dynamics of wheeled vehicles. Zbl 1367.70034 Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S. 22 2015 Topological analysis of an integrable system related to the rolling of a ball on a sphere. Zbl 1334.37059 Borisov, Alexey V.; Mamaev, Ivan S. 22 2013 Rolling of a non-homogeneous ball over a sphere without slipping and twisting. Zbl 1229.37081 Borisov, A. V.; Mamaev, I. S. 21 2007 Bifurcations of three-dimensional diffeomorphisms with non-simple quadratic homoclinic tangencies and generalized Hénon maps. Zbl 1229.37040 Gonchenko, S. V.; Gonchenko, V. S.; Tatjer, J. C. 21 2007 An integrability of the problem on motion of cylinder and vortex in the ideal fluid. Zbl 1112.37315 Borisov, A. V.; Mamaev, I. S. 21 2003 Motion of a circular cylinder and \(n\) point vortices in a perfect fluid. Zbl 1051.76009 Borisov, A. V.; Mamaev, I. S.; Ramodanov, S. M. 21 2003 Geometric integration via multi-space. Zbl 1068.65092 Kim, Pilwon; Olver, Peter J. 21 2004 Poisson brackets for the dynamically interacting system of a 2D rigid cylinder and \(N\) point vortices: the case of arbitrary smooth cylinder shapes. Zbl 1128.76315 Shashikanth, B. N. 20 2005 Two variations on the theme of Lamb–Chaplygin: supersmooth dipole and rotating multipoles. Zbl 1102.76008 Kizner, Ziv; Khvoles, R. 20 2004 The spatial problem of 2 bodies on a sphere. Reduction and stochasticity. Zbl 1402.70015 Borisov, Alexey V.; Mamaev, Ivan S.; Bizyaev, Ivan A. 20 2016 Dynamics of the Suslov problem in a gravitational field: reversal and strange attractors. Zbl 1344.37073 Bizyaev, Ivan A.; Borisov, Alexey V.; Kazakov, Alexey O. 20 2015 Generalized Chaplygin’s transformation and explicit integration of a system with a spherical support. Zbl 1253.37063 Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S. 20 2012 Polynomial entropies and integrable Hamiltonian systems. Zbl 1286.70022 Marco, Jean-Pierre 20 2013 The type numbers of closed geodesics. Zbl 1229.58015 Taimanov, I. A. 19 2010 Secular dynamics of a planar model of the Sun-Jupiter-Saturn-Uranus system; effective stability in the light of Kolmogorov and Nekhoroshev theories. Zbl 1390.70020 Giorgilli, Antonio; Locatelli, Ugo; Sansottera, Marco 19 2017 Periodic flows, rank-two Poisson structures, and nonholonomic mechanics. Zbl 1077.37043 Fassò, F.; Giacobbe, A.; Sansonetto, N. 19 2005 Conservation of energy and momenta in nonholonomic systems with affine constraints. Zbl 1353.70033 Fassò, Francesco; Sansonetto, Nicola 19 2015 Exotic dynamics of nonholonomic roller racer with periodic control. Zbl 1412.37064 Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S. 19 2018 On the dynamic model and motion planning for a spherical rolling robot actuated by orthogonal internal rotors. Zbl 1272.70049 Svinin, Mikhail; Morinaga, Akihiro; Yamamoto, Motoji 19 2013 On detachment conditions in the problem on the motion of a rigid body on a rough plane. Zbl 1229.70015 Ivanov, A. P. 18 2008 Multiparticle systems. The algebra of integrals and integrable cases. Zbl 1229.37106 Borisov, A. V.; Kilin, A. A.; Mamaev, I. S. 18 2009 Stability of Thomson’s configurations of vortices on a sphere. Zbl 0967.76023 Borisov, A. V.; Kilin, A. A. 18 2000 Lie algebras in vortex dynamics and celestial mechanics. IV. Zbl 1076.76513 Bolsinov, A. V.; Borisov, A. V.; Mamaev, I. S. 18 1999 The dynamics of orbits in a potential field of a solid circular ring. Zbl 1128.70308 Broucke, R. A.; Elipe, A. 18 2005 The ringing of Euler’s disk. Zbl 1013.70005 Kessler, P.; O’Reilly, O. M. 18 2002 The dynamics of an articulated \(n\)-trailer vehicle. Zbl 1342.37064 Bravo-Doddoli, Alejandro; García-Naranjo, Luis C. 18 2015 Dynamics of three vortices on a plane and a sphere. II: General compact case. Zbl 0933.76016 Borisov, A. V.; Lebedev, V. G. 17 1998 Dynamics of heton-like vortices. Zbl 1164.76423 Gryanik, V. M.; Sokolovskiy, M. A.; Verron, J. 17 2006 A note on theorem of Massera. Zbl 1164.37314 Zubelevich, O. 17 2006 Higher Painlevé transcendents as special solutions of some nonlinear integrable hierarchies. Zbl 1328.35193 Kudryashov, Nikolay A. 17 2014 The inertial motion of a roller racer. Zbl 1381.37076 Bizyaev, Ivan A. 17 2017 Dynamics and control of an omniwheel vehicle. Zbl 1367.70033 Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S. 17 2015 Synchronization of Chimera states in a network of many unidirectionally coupled layers of discrete maps. Zbl 1411.90070 Strelkova, Galina I.; Vadivasova, Tatiana E.; Anishchenko, Vadim S. 17 2018 The Euler-Jacobi-Lie integrability theorem. Zbl 1283.34035 Kozlov, Valery V. 17 2013 Bifurcation diagrams of the Kowalevski top in two constant fields. Zbl 1133.70306 Kharlamov, M. P. 16 2005 Integrable Lotka-Volterra systems. Zbl 1229.37097 Bogoyavlenskij, O. I. 16 2008 A generalization of Chaplygin’s reducibility theorem. Zbl 1229.37087 Fernandez, O. E.; Mestdag, T.; Bloch, A. M. 16 2009 Euler configurations and quasi-polynomial systems. Zbl 1229.70032 Albouy, A.; Fu, Y. 16 2007 Asymmetric discrete Painlevé equations. Zbl 0983.34083 Kruskal, M. D.; Tamizhmani, K. M.; Grammaticos, B.; Ramani, A. 16 2000 Polynomial entropies for Bott integrable Hamiltonian systems. Zbl 1308.70025 Labrousse, Clémence; Marco, Jean-Pierre 16 2014 Scientific heritage of L. P. Shilnikov. Zbl 1353.37001 Afraimovich, Valentin S.; Gonchenko, Sergey V.; Lerman, Lev M.; Shilnikov, Andrey L.; Turaev, Dmitry V. 16 2014 Poisson structures for geometric curve flows in semi-simple homogeneous spaces. Zbl 1229.22018 Marí Beffa, G.; Olver, P. J. 15 2010 On cascades of elliptic periodic points in two-dimensional symplectic maps with homoclinic tangencies. Zbl 1229.37054 Gonchenko, M. S.; Gonchenko, S. V. 15 2009 Absolute and relative choreographies in the problem of point vortices moving on a plane. Zbl 1079.76020 Borisov, A. V.; Mamaev, I. S.; Kilin, A. A. 15 2004 Plate falling in a fluid: regular and chaotic dynamics of finite-dimensional models. Zbl 1327.34089 Kuznetsov, Sergey P. 15 2015 Flat metrics are strict local minimizers for the polynomial entropy. Zbl 1264.53077 Labrousse, Clémence 15 2012 Aspects of the planetary Birkhoff normal form. Zbl 1320.70007 Pinzari, Gabriella 15 2013 Maxwell strata and cut locus in the sub-Riemannian problem on the Engel group. Zbl 1401.76036 Ardentov, Andrei A.; Sachkov, Yuri L. 15 2017 Linear Hamiltonian systems: quadratic integrals, singular subspaces and stability. Zbl 1400.37061 Kozlov, Valery V. 15 2018 Complex Arnol’d-Liouville maps. Zbl 1528.37051 Biasco, Luca; Chierchia, Luigi 1 2023 Compactification of the energy surfaces for \(n\) bodies. Zbl 07765044 Knauf, Andreas; Montgomery, Richard 1 2023 Billiards within ellipsoids in the 4-dimensional pseudo-Euclidean spaces. Zbl 1522.37042 Dragović, Vladimir; Radnović, Milena 1 2023 Integrable systems associated to the filtrations of Lie algebras. Zbl 1527.37059 Jovanović, Božidar; Šukilović, Tijana; Vukmirović, Srdjan 1 2023 Spherical and planar ball bearings – a study of integrable cases. Zbl 07710979 Dragović, Vladimir; Gajić, Borislav; Jovanović, Božidar 1 2023 Roller racer with varying gyrostatic momentum: acceleration criterion and strange attractors. Zbl 1522.37074 Bizyaev, Ivan A.; Mamaev, Ivan S. 1 2023 Isochronicity in 1 DOF. Zbl 1484.34099 Treschev, Dmitry V. 3 2022 Geodesics in jet space. Zbl 07507462 Bravo-Doddoli, Alejandro; Montgomery, Richard 3 2022 Spherical and planar ball bearings — nonholonomic systems with invariant measures. Zbl 1504.37078 Dragović, Vladimir; Gajić, Borislav; Jovanović, Božidar 2 2022 Darboux inversions of the Kepler problem. Zbl 1513.70033 Albouy, Alain; Zhao, Lei 2 2022 Permanent rotations in nonholonomic mechanics. Omnirotational ellipsoid. Zbl 1517.37065 Bizyaev, Ivan A.; Mamaev, Ivan S. 1 2022 On the stability of exact subharmonic solutions of the Duffing equation. Zbl 1517.70035 Markeev, Anatoly P. 1 2022 Embedded solitons of the generalized nonlinear Schrödinger equation with high dispersion. Zbl 1509.34101 Kudryashov, Nikolay A. 1 2022 On some aspects of the dynamics of a ball in a rotating surface of revolution and of the Kasamawashi art. Zbl 1525.37072 Fassò, Francesco; Sansonetto, Nicola 1 2022 On some invariants of Birkhoff billiards under conjugacy. Zbl 1507.37035 Koudjinan, Comlan E.; Kaloshin, Vadim 1 2022 A top on a vibrating base: new integrable problem of nonholonomic mechanics. Zbl 1513.70012 Borisov, Alexey V.; Ivanov, Alexander P. 1 2022 The spherical Kapitza-Whitney pendulum. Zbl 1484.34110 Polekhin, Ivan Yu. 1 2022 Billiard ordered games and books. Zbl 1498.37092 Dragović, Vladimir; Gasiorek, Sean; Radnović, Milena 1 2022 Destruction of cluster structures in an ensemble of chaotic maps with noise-modulated nonlocal coupling. Zbl 1496.37052 Nikishina, Nataliya N.; Rybalova, Elena V.; Strelkova, Galina I.; Vadivasova, Tatiyana E. 1 2022 Escape times across the golden cantorus of the standard map. Zbl 1502.37048 Miguel, Narcís; Simó, Carles; Vieiro, Arturo 1 2022 Möbius fluid dynamics on the unitary groups. Zbl 1510.76133 Emmanuele, Daniela; Salvai, Marcos; Vittone, Francisco 1 2022 Circular vortex arrays in generalised Euler’s and quasi-geostrophic dynamics. Zbl 1490.76059 Reinaud, Jean N. 1 2022 Soliton solutions of high-order nonlinear Schrödinger equations with different laws of nonlinearities. Zbl 1473.35506 Hosseini, Kamyar; Matinfar, Mashaallah; Mirzazadeh, Mohammad 10 2021 From Poincaré maps to Lagrangian descriptors: the case of the valley ridge inflection point potential. Zbl 1490.37101 Crossley, Rebecca; Agaoglou, Makrina; Katsanikas, Matthaios; Wiggins, Stephen 5 2021 Dynamics of a circular cylinder and two point vortices in a perfect fluid. Zbl 1482.76017 Ramodanov, Sergey M.; Sokolov, Sergey V. 5 2021 Parametric stability of a charged pendulum with an oscillating suspension point. Zbl 1493.70066 Cruz Araujo, Gerson; Cabral, Hildeberto E. 4 2021 Ring configurations of point vortices in polar atmospheres. Zbl 1490.76056 Dritschel, David G. 3 2021 Existence of a smooth Hamiltonian circle action near parabolic orbits and cuspidal tori. Zbl 1490.37080 Kudryavtseva, Elena A.; Martynchuk, Nikolay N. 3 2021 The time evolution of the trajectories after the selectivity in a symmetric potential energy surface with a post-transition-state bifurcation. Zbl 1490.37068 Haigh, Douglas; Katsanikas, Matthaios; Agaoglou, Makrina; Wiggins, Stephen 3 2021 Compactness and index of ordinary central configurations for the curved \(n\)-body problem. Zbl 1491.70013 Zhu, Shuqiang 2 2021 Three-dimensional quasi-geostrophic staggered vortex arrays. Zbl 1479.76042 Reinaud, Jean N. 2 2021 Classification of perturbations of Diophantine \(\mathbb{Z}^m\) actions on tori of arbitrary dimension. Zbl 1490.37085 Petković, Boris 2 2021 Uncertainty quantification of stochastic epidemic SIR models using B-spline polynomial chaos. Zbl 1471.92320 Kaur, Navjot; Goyal, Kavita 2 2021 On singularly perturbed linear cocycles over irrational rotations. Zbl 1484.37057 Ivanov, Alexey V. 1 2021 A restricted four-body problem for the figure-eight choreography. Zbl 1475.34033 Lara, Ricardo; Bengochea, Abimael 1 2021 Lax pairs and rational solutions of similarity reductions for Kupershmidt and Sawada-Kotera hierarchies. Zbl 1475.34055 Kudryashov, Nikolay A. 1 2021 Recruitment effects on the evolution of epidemics in a simple SIR model. Zbl 1478.92213 Nakamura, Gilberto; Grammaticos, Basil; Badoual, Mathilde 1 2021 On the metric stability and the Nekhoroshev estimate of the velocity of Arnold diffusion in a special case of the three-body problem. Zbl 1486.70054 Markeev, Anatoly P. 1 2021 Construction of the Morse-Bott energy function for regular topological flows. Zbl 1484.37039 Pochinka, Olga V.; Zinina, Svetlana Kh. 1 2021 Two-body problem on a sphere in the presence of a uniform magnetic field. Zbl 1482.70007 Balabanova, Nataliya A.; Montaldi, James A. 1 2021 Conservation laws for solitons in magneto-optic waveguides with anti-cubic and generalized anti-cubic nonlinearities. Zbl 1475.78007 Biswas, Anjan; Kara, Abdul H.; Ekici, Mehmet; Zayed, Elsayed M. E.; Alzahrani, Abdullah K.; Belic, Milivoj R. 1 2021 Celebrating the 200th anniversary of the birth of Hermann Ludwig Ferdinand von Helmholtz (31.08.1821–08.09.1894). Zbl 1484.37001 1 2021 Evolution of the singularities of the Schwarz function corresponding to the motion of a vortex patch in the two-dimensional Euler equations. Zbl 1479.76020 Riccardi, Giorgio; Dritschel, David G. 1 2021 The interaction of two unsteady point vortex sources in a deformation field in 2D incompressible flows. Zbl 1478.76073 Vic, Armand; Carton, Xavier; Gula, Jonathan 1 2021 Integrals of circulatory systems which are quadratic in momenta. Zbl 1490.37074 Kozlov, Valery V. 1 2021 Qualitative analysis of the dynamics of a balanced circular foil and a vortex. Zbl 1482.76014 Bizyaev, Ivan A.; Mamaev, Ivan S. 1 2021 Strongly reversible flows on connected manifolds. Zbl 1490.37013 Rejeb, Khadija Ben 1 2021 A particular integrable case in the nonautonomous problem of a Chaplygin sphere rolling on a vibrating plane. Zbl 1490.37079 Kilin, Alexander A.; Pivovarova, Elena N. 1 2021 Integrals of motion in time-periodic Hamiltonian systems: the case of the Mathieu equation. Zbl 1487.70078 Tzemos, Athanasios C.; Contopoulos, George 1 2021 A new \((3+1)\)-dimensional Hirota bilinear equation: its Bäcklund transformation and rational-type solutions. Zbl 1450.37065 Hosseini, Kamyar; Samavat, Majid; Mirzazadeh, Mohammad; Ma, Wen-Xiu; Hammouch, Zakia 14 2020 Highly dispersive optical solitons of an equation with arbitrary refractive index. Zbl 1471.35251 Kudryashov, Nikolay A. 12 2020 Dynamics of rubber Chaplygin sphere under periodic control. Zbl 1437.37082 Mamaev, Ivan S.; Vetchanin, Evgeny V. 8 2020 Persistence of hyperbolic-type degenerate lower-dimensional invariant tori with prescribed frequencies in Hamiltonian systems. Zbl 1481.37067 Xu, Junxiang; You, Jiangong 8 2020 Conservation laws for highly dispersive optical solitons in birefringent fibers. Zbl 1433.78019 Biswas, Anjan; Kara, Abdul H.; Zhou, Qin; Alzahrani, Abdullah Kamis; Belic, Milivoj R. 6 2020 Dynamics of the tippe top on a vibrating base. Zbl 1475.70007 Borisov, Alexey V.; Ivanov, Alexander P. 6 2020 Kovalevskaya exponents, weak Painlevé property and integrability for quasi-homogeneous differential systems. Zbl 1470.34004 Huang, Kaiyin; Shi, Shaoyun; Li, Wenlei 5 2020 Revisiting the human and nature dynamics model. Zbl 1440.37083 Grammaticos, Basil; Willox, Ralph; Satsuma, Junkichi 5 2020 Stability and stabilization of steady rotations of a spherical robot on a vibrating base. Zbl 1475.70005 Kilin, Alexander A.; Pivovarova, Elena N. 5 2020 Parametric stability of a pendulum with variable length in an elliptic orbit. Zbl 1465.70049 de Menezes Neto, José Laudelino; Cabral, Hildeberto E. 4 2020 On the nonlinear stability of the triangular points in the circular spatial restricted three-body problem. Zbl 1441.70004 Cárcamo-Díaz, Daniela; Palacián, Jesús F.; Vidal, Claudio; Yanguas, Patricia 4 2020 Periodic controls in step 2 strictly convex sub-Finsler problems. Zbl 1473.49026 Sachkov, Yuri L. 4 2020 Lax pairs and special polynomials associated with self-similar reductions of Sawada – Kotera and Kupershmidt equations. Zbl 1441.34096 Kudryashov, Nikolay A. 4 2020 Confinement strategies in a simple SIR model. Zbl 1471.92337 Nakamura, Gilberto; Grammaticos, Basil; Badoual, Mathilde 4 2020 The role of depth and flatness of a potential energy surface in chemical reaction dynamics. Zbl 1465.37070 Lyu, Wenyang; Naik, Shibabrat; Wiggins, Stephen 3 2020 Chaos in Bohmian quantum mechanics: a short review. Zbl 1458.81024 Contopoulos, George; Tzemos, Athanasios C. 3 2020 The method of averaging for the Kapitza-Whitney pendulum. Zbl 1466.70020 Polekhin, Ivan Yu. 3 2020 On dynamics of Jellet’s egg. Asymptotic solutions revisited. Zbl 1434.70019 Rauch-Wojciechowski, Stefan; Przybylska, Maria 3 2020 Two nonholonomic chaotic systems. I: On the Suslov problem. Zbl 1448.37075 Borisov, Alexey V.; Mikishanina, Evgeniya A. 2 2020 Nondegenerate Hamiltonian Hopf bifurcations in \(\omega:3:6\) resonance \((\omega=1\) or \(2)\). Zbl 1475.70019 Mazrooei-Sebdani, Reza; Hakimi, Elham 2 2020 The tippedisk: a tippetop without rotational symmetry. Zbl 1475.70006 Sailer, Simon; Eugster, Simon R.; Leine, Remco I. 2 2020 Dynamics of a spherical robot with variable moments of inertia and a displaced center of mass. Zbl 1483.70003 Artemova, Elizaveta M.; Karavaev, Yury L.; Mamaev, Ivan S.; Vetchanin, Evgeny V. 2 2020 A study of energy band rearrangement in isolated molecules by means of the Dirac oscillator approximation. Zbl 1458.37063 Dhont, Guillaume; Iwai, Toshihiro; Zhilinskií, Boris I. 1 2020 Dynamics and bifurcations on the normally hyperbolic invariant manifold of a periodically driven system with rank-1 saddle. Zbl 1458.37045 Kuchelmeister, Manuel; Reiff, Johannes; Main, Jörg; Hernandez, Rigoberto 1 2020 Rational solutions of equations associated with the second Painlevé equation. Zbl 1451.34004 Kudryashov, Nikolay A. 1 2020 Experimental results versus computer simulations of noisy Poincaré maps in an intermittency scenario. Zbl 1450.37072 del Rio, Ezequiel; Elaskar, Sergio 1 2020 On the stability of potential systems under the action of non-conservative positional forces. Zbl 1464.70013 Bulatovic, Ranislav M. 1 2020 Optical dromions and domain walls with the Kundu-Mukherjee-Naskar equation by the Laplace-Adomian decomposition scheme. Zbl 1448.65291 González-Gaxiola, Oswaldo; Biswas, Anjan; Asma, Mir; Alzahrani, Abdullah Kamis 1 2020 A map for systems with resonant trappings and scatterings. Zbl 1473.37056 Artemyev, Anton V.; Neishtadt, Anatoly I.; Vasiliev, Alexei A. 1 2020 Two variations on the periscope theorem. Zbl 1447.78002 Tabachnikov, Serge 1 2020 On periodic Poincaré motions in the case of degeneracy of an unperturbed system. Zbl 1434.70040 Markeev, Anatoly P. 1 2020 Quantifying the transition from spiral waves to spiral wave chimeras in a lattice of self-sustained oscillators. Zbl 1480.34053 Shepelev, Igor A.; Bukh, Andrei V.; Muni, Sishu S.; Anishchenko, Vadim S. 1 2020 On topological classification of gradient-like flows on an \(n\)-sphere in the sense of topological conjugacy. Zbl 1481.37023 Kruglov, Vladislav E.; Malyshev, Dmitry S.; Pochinka, Olga V.; Shubin, Danila D. 1 2020 Caustics of Poncelet polygons and classical extremal polynomials. Zbl 1432.37055 Dragović, Vladimir; Radnović, Milena 11 2019 Different models of rolling for a robot ball on a plane as a generalization of the Chaplygin ball problem. Zbl 1437.37078 Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S. 11 2019 Painlevé analysis and a solution to the traveling wave reduction of the Radhakrishnan-Kundu-Lakshmanan equation. Zbl 1434.78022 Kudryashov, Nikolay A.; Safonova, Dariya V.; Biswas, Anjan 9 2019 Sub-Finsler geodesics on the Cartan group. Zbl 1412.49084 Ardentov, Andrei A.; Le Donne, Enrico; Sachkov, Yuri L. 8 2019 Hamiltonization and separation of variables for a Chaplygin ball on a rotating plane. Zbl 1433.37065 Tsiganov, Andrey V. 7 2019 The Kepler problem: polynomial algebra of nonpolynomial first integrals. Zbl 1459.70041 Tsiganov, Andrey V. 7 2019 Periodic billiards within conics in the Minkowski plane and Akhiezer polynomials. Zbl 1436.37036 Adabrah, Anani Komla; Dragović, Vladimir; Radnović, Milena 6 2019 Rational and special solutions for some Painlevé hierarchies. Zbl 1415.34132 Kudryashov, Nikolay A. 5 2019 The dynamics of a Chaplygin sleigh with an elastic internal rotor. Zbl 1412.37066 Fedonyuk, Vitaliy; Tallapragada, Phanindra 5 2019 Roaming at constant kinetic energy: Chesnavich’s model and the Hamiltonian isokinetic thermostat. Zbl 1436.37075 Krajňák, Vladimír; Ezra, Gregory S.; Wiggins, Stephen 5 2019 Euler elasticas for optimal control of the motion of mobile wheeled robots: the problem of experimental realization. Zbl 1431.49056 Ardentov, Andrey A.; Karavaev, Yury L.; Yefremov, Kirill S. 4 2019 Impact of noise on the amplitude chimera lifetime in an ensemble of nonlocally coupled chaotic maps. Zbl 1479.39021 Rybalova, Elena V.; Klyushina, Daria Y.; Anishchenko, Vadim S.; Strelkova, Galina I. 4 2019 On the normal force and static friction acting on a rolling ball actuated by internal point masses. Zbl 1433.37064 Putkaradze, Vakhtang; Rogers, Stuart M. 3 2019 On the volume elements of a manifold with transverse zeroes. Zbl 1435.53059 Cardona, Robert; Miranda, Eva 3 2019 Qualitative analysis of the nonholonomic rolling of a rubber wheel with sharp edges. Zbl 1423.70013 Kilin, Alexander A.; Pivovarova, Elena N. 3 2019 On the motions of one near-autonomous Hamiltonian system at a 1:1:1 resonance. Zbl 1428.70037 Kholostova, Olga V. 3 2019 A note about integrable systems on low-dimensional Lie groups and Lie algebras. Zbl 1435.37082 Bolsinov, Alexey; Bao, Jinrong 3 2019 Evolution of Lagrangian manifolds and asymptotic solutions to the linearized equations of gas dynamics. Zbl 1412.35060 Allilueva, Anna I.; Shafarevich, Andrei I. 3 2019 ...and 792 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,376 Authors 113 Borisov, Alekseĭ Vladimirovich 107 Mamaev, Ivan Sergeevich 66 Kudryashov, Nikolaĭ Alekseevich 64 Tsyganov, Andreĭ Vladimirovich 57 Kilin, Aleksandr Aleksandrovich 38 Xu, Junxiang 37 Bizyaev, Ivan Alekseevich 36 Wiggins, Stephen R. 30 Gonchenko, Sergey V. 29 Dragović, Vladimir 29 Kozlov, Valeriĭ Vasil’evich 27 Vidal, Claudio 26 Llibre, Jaume 26 Przybylska, Maria 25 Simó, Carles 25 Zhang, Dongfeng 23 Matveev, Vladimir S. 22 Kazakov, Alexey O. 22 Kuznetsov, Sergey P. 21 Broer, Henk W. 21 Turaev, Dmitry V. 20 García-Naranjo, Luis C. 20 Maciejewski, Andrzej J. 19 Bardin, Boris Sabirovich 19 Bolsinov, Alexey V. 19 Vetchanin, Evgeniĭ Vladimirovich 18 Bounemoura, Abed Bounemoura 18 Sinelshchikov, Dmitry I. 17 Dullin, Holger R. 17 Kurakin, Leonid Gennadievich 17 Meiss, James D. 16 Grammaticos, Basil 16 Guzzo, Massimiliano 16 Ryabov, Pavel Evgen’evich 15 Delshams, Amadeu 15 Gonchenko, Marina S. 15 Pivovarova, Elena Nikolaevna 15 Vedyushkina, Viktoriya Viktorovna 14 Biswas, Anjan 14 Miranda, Eva 14 Mireles-James, Jason D. 14 Strelkova, Galina Ivanova 13 Hanßmann, Heinz 13 Ivanov, Aleksandr Pavlovich 13 Jovanović, Božidar Žarko 13 Karavaev, Yurĭ Leonidovich 13 Mikishanina, Evgeniya Arifzhanovna 13 Palacián, Jesús F. 13 Suris, Yuri Borisovich 13 Valiquette, Francis 13 Yanguas, Patricia 12 Bolotin, Sergeĭ Vladimirovich 12 Burov, Aleksandr Anatol’evich 12 Kizner, Ziv 12 Locatelli, Ugo 12 Petrera, Matteo 12 Pinzari, Gabriella 12 Radnović, Milena 12 Ramani, Alfred 12 Sansottera, Marco 12 Sataev, Igor’ Rustamovich 12 Sokolov, Sergeĭ Viktorovich 11 Anishchenko, Vadim Semenovich 11 Celletti, Alessandra 11 de la Llave, Rafael 11 Fassò, Francesco 11 Gajić, Borislav 11 Gonchenko, Aleksandr Sergeevich 11 Katsanikas, Matthaios 11 Pérez-Chavela, Ernesto 11 Vieiro, Arturo 10 Balseiro, Paula 10 Berti, Massimiliano 10 Bloch, Anthony Michael 10 Corbera, Montserrat 10 Fomenko, Anatoliĭ Timofeevich 10 García-Garrido, Víctor J. 10 Gubbiotti, Giorgio 10 Koiller, Jair 10 Newton, Paul K. 10 Ostrovskaya, Irina V. 10 Quispel, Gilles Reinout Willem 10 Sansonetto, Nicola 10 Stankevich, Nataliya Vladimirovna 10 Valls Anglés, Cláudia 10 Vanhaecke, Pol 9 Carton, Xavier J. 9 Chierchia, Luigi 9 Fedorov, Yuri N. 9 Gutkin, Eugene 9 Ivanov, Alexey V. 9 Kaloshin, Vadim Yu. 9 Kanso, Eva Adnan 9 McLaren, David I. 9 Montaldi, James A. 9 Morozov, Al’bert Dmitrievich 9 Nguyen Thieu Huy 9 Reinaud, Jean N. 9 Rozikov, Utkir A. 9 Rybalova, Elena V. ...and 3,276 more Authors all top 5 Cited in 405 Journals 475 Regular and Chaotic Dynamics 115 Physica D 84 Chaos 81 Russian Journal of Nonlinear Dynamics 79 Journal of Mathematical Physics 74 Celestial Mechanics and Dynamical Astronomy 73 Journal of Geometry and Physics 73 Journal of Differential Equations 65 Nonlinearity 64 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 64 Communications in Nonlinear Science and Numerical Simulation 58 Journal of Nonlinear Science 50 Journal of Physics A: Mathematical and Theoretical 47 Discrete and Continuous Dynamical Systems 44 Communications in Mathematical Physics 44 Theoretical and Mathematical Physics 40 Chaos, Solitons and Fractals 37 Journal of Mathematical Analysis and Applications 34 Physics Letters. 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Académie des Sciences, Paris 6 Chebyshevskiĭ Sbornik 6 Journal of Fixed Point Theory and Applications 6 International Journal of Applied and Computational Mathematics 6 Applied Mathematics and Nonlinear Sciences 5 European Journal of Physics 5 Journal of Computational Physics 5 Mathematical Methods in the Applied Sciences ...and 305 more Journals all top 5 Cited in 60 Fields 1,801 Dynamical systems and ergodic theory (37-XX) 1,420 Mechanics of particles and systems (70-XX) 536 Ordinary differential equations (34-XX) 337 Differential geometry (53-XX) 320 Fluid mechanics (76-XX) 310 Partial differential equations (35-XX) 130 Numerical analysis (65-XX) 123 Quantum theory (81-XX) 104 Biology and other natural sciences (92-XX) 102 Global analysis, analysis on manifolds (58-XX) 97 Systems theory; control (93-XX) 90 Difference and functional equations (39-XX) 86 Algebraic geometry (14-XX) 65 Statistical mechanics, structure of matter (82-XX) 62 Mechanics of deformable solids (74-XX) 61 Number theory (11-XX) 59 Nonassociative rings and algebras (17-XX) 59 Calculus of variations and optimal control; optimization (49-XX) 49 Special functions (33-XX) 48 Computer science (68-XX) 43 Operator theory (47-XX) 42 Optics, electromagnetic theory (78-XX) 38 Topological groups, Lie groups (22-XX) 33 Manifolds and cell complexes (57-XX) 32 Geophysics (86-XX) 30 Relativity and gravitational theory (83-XX) 29 Probability theory and stochastic processes (60-XX) 25 Measure and integration (28-XX) 25 Functions of a complex variable (30-XX) 25 Several complex variables and analytic spaces (32-XX) 24 Combinatorics (05-XX) 24 Astronomy and astrophysics (85-XX) 22 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 18 Real functions (26-XX) 18 Approximations and expansions (41-XX) 17 History and biography (01-XX) 17 Linear and multilinear algebra; matrix theory (15-XX) 16 Convex and discrete geometry (52-XX) 16 Information and communication theory, circuits (94-XX) 15 General topology (54-XX) 12 Field theory and polynomials (12-XX) 11 Functional analysis (46-XX) 11 Classical thermodynamics, heat transfer (80-XX) 8 Commutative algebra (13-XX) 8 Group theory and generalizations (20-XX) 8 Geometry (51-XX) 7 Algebraic topology (55-XX) 7 Statistics (62-XX) 7 Operations research, mathematical programming (90-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 5 General and overarching topics; collections (00-XX) 5 Potential theory (31-XX) 4 Associative rings and algebras (16-XX) 3 Category theory; homological algebra (18-XX) 2 Sequences, series, summability (40-XX) 2 Integral equations (45-XX) 1 Mathematical logic and foundations (03-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Mathematics education (97-XX) Citations by Year