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: http://link.springer.com/journal/volumesAndIssues/11819http://www.turpion.org/php/homes/pa.phtml?jrnid=rdhttp://ics.org.ru/journals/rcd/ Predecessor: Regularnaya & Khaoticheskaya Dinamika Comments: Indexed cover-to-cover Documents Indexed: 1,004 Publications (since 1998) References Indexed: 661 Publications with 18,083 References. all top 5 Latest Issues 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) 11, No. 1 (2006) 10, No. 4 (2005) 10, No. 3 (2005) 10, No. 2 (2005) 10, No. 1 (2005) 9, No. 4 (2004) 9, No. 3 (2004) 9, No. 2 (2004) 9, No. 1 (2004) 8, No. 4 (2003) 8, No. 3 (2003) 8, No. 2 (2003) 8, No. 1 (2003) 7, No. 4 (2002) 7, No. 3 (2002) 7, No. 2 (2002) 7, No. 1 (2002) ...and 14 more Volumes all top 5 Authors 92 Borisov, Alekseĭ Vladimirovich 79 Mamaev, Ivan Sergeevich 39 Kilin, Aleksandr Aleksandrovich 29 Tsyganov, Andreĭ Vladimirovich 26 Kozlov, Valeriĭ Vasil’evich 22 Kudryashov, Nikolaĭ Alekseevich 19 Bizyaev, Ivan Alekseevich 18 Kuznetsov, Sergey P. 14 Wiggins, Stephen 12 Bardin, Boris Sabirovich 12 Dragović, Vladimir 12 Gonchenko, Sergey V. 11 Markeev, Anatoliĭ Pavlovich 11 Przybylska, Maria 10 Morozov, Al’bert Dmitrievich 10 Turaev, Dmitry V. 9 Bolotin, Sergeĭ Vladimirovich 9 Ivanov, Aleksandr Pavlovich 9 Neĭshtadt, Anatoliĭ Iserovich 8 Grammaticos, Basil 8 Sevryuk, Mikhail Borisovich 8 Simó, Carles 8 Treshchev, Dmitriĭ Valer’evich 7 Bolsinov, Alexey V. 7 Cushman, Richard H. 7 Kazakov, Alexey O. 7 Kharlamov, Mikhail P. 7 Lerman, Lev 7 Maciejewski, Andrzej J. 7 O’Neil, Kevin Anthony 7 Ramani, Alfred 7 Rauch-Wojciechowski, Stefan 6 Albouy, Alain 6 Broer, Henk W. 6 Carton, Xavier J. 6 Chaplygin, Sergeĭ Alekseevich 6 Damianou, Pantelis Andrea 6 Dullin, Holger R. 6 Fassò, Francesco 6 Gajić, Borislav 6 Osipov, Grigory V. 6 Pivovarova, Elena Nikolaevna 6 Ryabov, Pavel Evgen’evich 6 Sokolovskiy, Mikhail A. 6 Vetchanin, Evgeniĭ Vladimirovich 6 Yehia, Hamad M. 5 Cabral, Hildeberto Eulalio 5 Chenciner, Alain 5 Demina, Maria V. 5 Fedorov, Yuri N. 5 Grines, Vyacheslav Zigmundovich 5 Kurakin, Leonid G. 5 Sataev, Igor’ Rustamovich 5 Shafarevich, Andreĭ Igorevich 4 Anishchenko, Vadim Semenovich 4 Bounemoura, Abed 4 Burov, Aleksandr Anatol’evich 4 Celletti, Alessandra 4 Chekina, Evgeniya Alekseevna 4 Chierchia, Luigi 4 Delshams, Amadeu 4 Elipe, Antonio 4 Gal’perin, G. A. 4 García-Naranjo, Luis C. 4 Guha, Partha 4 Guzzo, Massimiliano 4 Hanßmann, Heinz 4 Holmes, Philip J. 4 Inozemtsev, Vladimir I. 4 Karavaev, Yurĭ Leonidovich 4 Koiller, Jair 4 Lanchares, Víctor 4 Meiss, James D. 4 Miranda, Eva 4 Negrini, Piero 4 Novokshenov, Viktor Yur’evich 4 Pedroni, Marco 4 Pochinka, Olga Vital’evna 4 Radnović, Milena 4 Rudnev, Misha 4 Sachkov, Yuriĭ Leonidovich 4 Shilnikov, Andrey L. 4 Sinaĭ, Yakov Grigor’evich 4 Sinelshchikov, Dmitry I. 4 Verron, Jacques 4 Vidal, Claudio 4 Zhalnin, Alekseĭ Yur’evich 3 Afraimovich, Valentin S. 3 Allilueva, Anna I. 3 Ardentov, Andrei A. 3 Bates, Larry M. 3 Biswas, Anjan 3 Bunimovich, Leonid Abramovich 3 Combot, Thierry 3 Cordani, Bruno 3 Deryabin, Mikhail Vladimirovich 3 Dobrokhotov, Sergei Yurievich 3 Ezra, Gregory S. 3 Falqui, Gregorio 3 Féjoz, Jacques ...and 786 more Authors all top 5 Fields 654 Dynamical systems and ergodic theory (37-XX) 537 Mechanics of particles and systems (70-XX) 174 Ordinary differential equations (34-XX) 116 Fluid mechanics (76-XX) 78 Differential geometry (53-XX) 48 Partial differential equations (35-XX) 38 History and biography (01-XX) 28 Statistical mechanics, structure of matter (82-XX) 22 Mechanics of deformable solids (74-XX) 21 Global analysis, analysis on manifolds (58-XX) 21 Biology and other natural sciences (92-XX) 20 Quantum theory (81-XX) 20 Systems theory; control (93-XX) 19 Algebraic geometry (14-XX) 18 Numerical analysis (65-XX) 15 Difference and functional equations (39-XX) 14 Special functions (33-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 13 Optics, electromagnetic theory (78-XX) 10 Geophysics (86-XX) 9 Topological groups, Lie groups (22-XX) 8 Number theory (11-XX) 8 Measure and integration (28-XX) 8 Manifolds and cell complexes (57-XX) 7 General and overarching topics; collections (00-XX) 7 Operator theory (47-XX) 7 Probability theory and stochastic processes (60-XX) 6 Nonassociative rings and algebras (17-XX) 6 Computer science (68-XX) 6 Relativity and gravitational theory (83-XX) 5 Combinatorics (05-XX) 5 Functions of a complex variable (30-XX) 5 Convex and discrete geometry (52-XX) 4 Real functions (26-XX) 4 Several complex variables and analytic spaces (32-XX) 4 General topology (54-XX) 3 Commutative algebra (13-XX) 3 Approximations and expansions (41-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) 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 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 763 Publications have been cited 4,820 times in 2,458 Documents Cited by ▼ Year ▼ Invariant tori in non-degenerate nearly integrable Hamiltonian systems. Zbl 0992.37050Rüssmann, H. 79 2001 Rolling of a rigid body on a plane and sphere. Hierarchy of dynamics. Zbl 1058.70009Borisov, A. V.; Mamaev, I. S. 64 2002 Conservation laws, hierarchy of dynamics and explicit integration of nonholonomic systems. Zbl 1229.70038Borisov, A. V.; Mamaev, I. S. 63 2008 On the theory of motion of nonholonomic systems. The reducing-multiplier theorem. Translated from the Russian 1911 original. Zbl 1229.37082Chaplygin, S. A. 59 2008 Rolling of a ball on a surface. New integrals and hierarchy of dynamics. Zbl 1058.70010Borisov, A. V.; Mamaev, I. S.; Kilin, A. A. 53 2002 The hierarchy of dynamics of a rigid body rolling without slipping and spinning on a plane and a sphere. Zbl 1367.70007Borisov, Alexey V.; Mamaev, Ivan S.; Bizyaev, Ivan A. 52 2013 Richness of chaotic dynamics in nonholonomic models of a Celtic stone. Zbl 1417.37222Gonchenko, Alexander S.; Gonchenko, Sergey V.; Kazakov, Alexey O. 47 2013 How to control Chaplygin’s sphere using rotors. Zbl 1264.37016Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S. 45 2012 On a ball’s rolling on a horizontal plane. Translated from the Russian 1903 original. Zbl 1058.70003Chaplygin, S. A. 43 2002 Invariant curves of analytic perturbed nontwist area preserving maps. Zbl 0932.37048Simó, C. 41 1998 How to control the Chaplygin ball using rotors. II. Zbl 1303.37021Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S. 37 2013 The problem of drift and recurrence for the rolling Chaplygin ball. Zbl 1286.70007Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S. 34 2013 Trajectory equivalence and corresponding integrals. Zbl 0928.37003Matveev, V. S.; Topalov, P. Ĭ. 33 1998 The reversal and chaotic attractor in the nonholonomic model of Chaplygin’s top. Zbl 1358.70006Borisov, Alexey V.; Kazakov, Alexey O.; Sataev, Igor R. 33 2014 Dynamical phenomena occurring due to phase volume compression in nonholonomic model of the rattleback. Zbl 1263.74021Borisov, Alexey V.; Jalnine, Alexey Yu.; Kuznetsov, Sergey P.; Sataev, Igor R.; Sedova, Julia V. 32 2012 Hamiltonization of non-holonomic systems in the neighborhood of invariant manifolds. Zbl 1309.37049Bolsinov, A. V.; Borisov, A. V.; Mamaev, I. S. 30 2011 On the integration theory of equations of nonholonomic mechanics. Zbl 1006.37040Kozlov, V. V. 28 2002 Chaplygin ball over a fixed sphere: an explicit integration. Zbl 1229.37080Borisov, A. V.; Fedorov, Yu. N.; Mamaev, I. S. 28 2008 The dynamics of Chaplygin ball: the qualitative and computer analysis. Zbl 1074.70513Kilin, A. A. 28 2001 The Jacobi integral in nonholonomic mechanics. Zbl 1367.70036Borisov, Alexey V.; Mamaev, Ivan. S.; Bizyaev, Ivan. A. 27 2015 Popular ansatz methods and solitary wave solutions of the Kuramoto-Sivashinsky equation. Zbl 1229.34008Kudryashov, N. A.; Soukharev, M. B. 26 2009 On a paper of Moeckel on central configurations. Zbl 1061.70006Albouy, A. 25 2003 Rubber rolling over a sphere. Zbl 1229.37089Koiller, Jair; Ehlers, Kurt 25 2007 Asymptotic stability and associated problems of dynamics of falling rigid body. Zbl 1229.37107Borisov, A. V.; Kozlov, V. V.; Mamaev, I. S. 25 2007 Symmetries and reduction in nonholonomic mechanics. Zbl 1342.37001Borisov, Alexey V.; Mamaev, Ivan S. 24 2015 The dynamics and control of a spherical robot with an internal omniwheel platform. Zbl 1317.93192Karavaev, Yury L.; Kilin, Alexander A. 24 2015 Chaotic dynamics of three-dimensional Hénon maps that originate from a homoclinic bifurcation. Zbl 1164.37306Gonchenko, S. V.; Meiss, J. D.; Ovsyannikov, I. I. 24 2006 Strange attractors and mixed dynamics in the problem of an unbalanced rubber ball rolling on a plane. Zbl 1417.37223Kazakov, Alexey O. 24 2013 Two-body problem on a sphere. Reduction, stochasticity, periodic orbits. Zbl 1065.37058Borisov, A. V.; Mamaev, I. S.; Kilin, A. A. 23 2004 The dynamics of nonholonomic systems consisting of a spherical shell with a moving rigid body inside. Zbl 1308.70003Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S. 22 2014 Hamiltonicity and integrability of the Suslov problem. Zbl 1277.70008Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S. 22 2011 Quasi-periodic bifurcations of invariant circles in low-dimensional dissipative dynamical systems. Zbl 1225.37087Vitolo, Renato; Broer, Henk; Simó, Carles 22 2011 On integrability of Hirota-Kimura type discretizations. Zbl 1258.37067Petrera, Matteo; Pfadler, Andreas; Suris, Yuri B. 22 2011 Dynamics of rolling disk. Zbl 1112.37320Borisov, A. V.; Mamaev, I. S.; Kilin, A. A. 21 2003 Solitary and periodic solutions of the generalized Kuramoto-Sivashinsky equation. Zbl 1229.35229Kudryashov, N. A. 21 2008 Bifurcations of Liouville tori in elliptical billiards. Zbl 1229.37065Dragović, V.; Radnović, M. 21 2009 Topological analysis of an integrable system related to the rolling of a ball on a sphere. Zbl 1334.37059Borisov, Alexey V.; Mamaev, Ivan S. 21 2013 Spherical robot of combined type: dynamics and control. Zbl 1339.93081Kilin, Alexander A.; Pivovarova, Elena N.; Ivanova, Tatyana B. 21 2015 Higher dimensional continued fractions. Zbl 1044.11596Arnold, V. I. 20 1998 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 1267.37066Bolsinov, Alexey V.; Borisov, Alexey V.; Mamaev, Ivan S. 20 2012 On global bifurcations in three-dimensional diffeomorphisms leading to wild Lorenz-like attractors. Zbl 1229.37041Gonchenko, S. V.; Shilnikov, L. P.; Turaev, D. V. 20 2009 Dynamics and statics of vortices on a plane and a sphere. I. Zbl 0934.76014Borisov, A. V.; Pavlov, A. E. 20 1998 Billiard dynamics: a survey with the emphasis on open problems. Zbl 1023.37022Gutkin, E. 20 2003 On a motion of a heavy body of revolution on a horizontal plane. Translated from the Russian 1897 original. Zbl 1058.70002Chaplygin, S. A. 19 2002 Nekhoroshev-stability of \(L4\) and \(L5\) in the spatial restricted three-body problem. Zbl 0934.70010Benettin, G.; Fassò, F.; Guzzo, M. 18 1998 Simultaneous separation for the Neumann and Chaplygin systems. Zbl 1325.37052Tsiganov, Andrey 18 2015 Bi-Hamiltonian structures and singularities of integrable systems. Zbl 1229.37092Bolsinov, A. V.; Oshemkov, A. A. 18 2009 Generalized Chaplygin’s transformation and explicit integration of a system with a spherical support. Zbl 1253.37063Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S. 18 2012 Mock (false) theta functions as quantum invariants. Zbl 1133.57301Hikami, K. 18 2005 The Chaplygin sleigh with parametric excitation: chaotic dynamics and nonholonomic acceleration. Zbl 1398.37056Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S. 18 2017 Dynamics of the Suslov problem in a gravitational field: reversal and strange attractors. Zbl 1344.37073Bizyaev, Ivan A.; Borisov, Alexey V.; Kazakov, Alexey O. 17 2015 Geometric integration via multi-space. Zbl 1068.65092Kim, Pilwon; Olver, Peter J. 17 2004 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 0973.70011Chenciner, A. 17 1998 Motion of a circular cylinder and \(n\) point vortices in a perfect fluid. Zbl 1051.76009Borisov, A. V.; Mamaev, I. S.; Ramodanov, S. M. 17 2003 An integrability of the problem on motion of cylinder and vortex in the ideal fluid. Zbl 1112.37315Borisov, A. V.; Mamaev, I. S. 17 2003 KAM à la R. Zbl 1219.37044Pöschel, Jürgen 17 2011 The dynamics of orbits in a potential field of a solid circular ring. Zbl 1128.70308Broucke, R. A.; Elipe, A. 17 2005 On the Hadamard-Hamel problem and the dynamics of wheeled vehicles. Zbl 1367.70034Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S. 17 2015 Two variations on the theme of Lamb–Chaplygin: supersmooth dipole and rotating multipoles. Zbl 1102.76008Kizner, Ziv; Khvoles, R. 16 2004 Bifurcations of three-dimensional diffeomorphisms with non-simple quadratic homoclinic tangencies and generalized Hénon maps. Zbl 1229.37040Gonchenko, S. V.; Gonchenko, V. S.; Tatjer, J. C. 16 2007 Multiparticle systems. The algebra of integrals and integrable cases. Zbl 1229.37106Borisov, A. V.; Kilin, A. A.; Mamaev, I. S. 16 2009 Asymmetric discrete Painlevé equations. Zbl 0983.34083Kruskal, M. D.; Tamizhmani, K. M.; Grammaticos, B.; Ramani, A. 16 2000 Poisson brackets for the dynamically interacting system of a 2D rigid cylinder and \(N\) point vortices: the case of arbitrary smooth cylinder shapes. Zbl 1128.76315Shashikanth, B. N. 16 2005 Absolute and relative choreographies in the problem of point vortices moving on a plane. Zbl 1079.76020Borisov, A. V.; Mamaev, I. S.; Kilin, A. A. 15 2004 Stability of Thomson’s configurations of vortices on a sphere. Zbl 0967.76023Borisov, A. V.; Kilin, A. A. 15 2000 Rolling of a non-homogeneous ball over a sphere without slipping and twisting. Zbl 1229.37081Borisov, A. V.; Mamaev, I. S. 15 2007 Bifurcation diagrams of the Kowalevski top in two constant fields. Zbl 1133.70306Kharlamov, M. P. 15 2005 The Euler-Jacobi-Lie integrability theorem. Zbl 1283.34035Kozlov, Valery V. 15 2013 Higher Painlevé transcendents as special solutions of some nonlinear integrable hierarchies. Zbl 1328.35193Kudryashov, Nikolay A. 15 2014 Dynamics of heton-like vortices. Zbl 1164.76423Gryanik, V. M.; Sokolovskiy, M. A.; Verron, J. 14 2006 Euler configurations and quasi-polynomial systems. Zbl 1229.70032Albouy, A.; Fu, Y. 14 2007 A generalization of Chaplygin’s reducibility theorem. Zbl 1229.37087Fernandez, O. E.; Mestdag, T.; Bloch, A. M. 14 2009 The dynamics of an articulated \(n\)-trailer vehicle. Zbl 1342.37064Bravo-Doddoli, Alejandro; García-Naranjo, Luis C. 13 2015 Remarks on the definition of hyperbolic tori of Hamiltonian systems. Zbl 1005.70015Bolotin, S. V.; Treschev, D. V. 13 2000 Dynamics and control of an omniwheel vehicle. Zbl 1367.70033Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S. 13 2015 Aspects of the planetary Birkhoff normal form. Zbl 1320.70007Pinzari, Gabriella 13 2013 On cascades of elliptic periodic points in two-dimensional symplectic maps with homoclinic tangencies. Zbl 1229.37054Gonchenko, M. S.; Gonchenko, S. V. 13 2009 The type numbers of closed geodesics. Zbl 1229.58015Taimanov, I. A. 13 2010 Periodic flows, rank-two Poisson structures, and nonholonomic mechanics. Zbl 1077.37043Fassò, F.; Giacobbe, A.; Sansonetto, N. 13 2005 Dynamics of three vortices on a plane and a sphere. II: General compact case. Zbl 0933.76016Borisov, A. V.; Lebedev, V. G. 13 1998 The self-propulsion of a body with moving internal masses in a viscous fluid. Zbl 1329.70052Vetchanin, Evgeny V.; Mamaev, Ivan S.; Tenenev, Valentin A. 13 2013 On the dynamic model and motion planning for a spherical rolling robot actuated by orthogonal internal rotors. Zbl 1272.70049Svinin, Mikhail; Morinaga, Akihiro; Yamamoto, Motoji 13 2013 Linear Hamiltonian systems: quadratic integrals, singular subspaces and stability. Zbl 1400.37061Kozlov, Valery V. 13 2018 Plate falling in a fluid: regular and chaotic dynamics of finite-dimensional models. Zbl 1327.34089Kuznetsov, Sergey P. 13 2015 Paul Painlevé and his contribution to science. Zbl 1333.01025Borisov, Alexey V.; Kudryashov, Nikolay A. 13 2014 Moving frames and joint differential invariants. Zbl 1014.53013Olver, P. J. 12 1999 The ringing of Euler’s disk. Zbl 1013.70005Kessler, P.; O’Reilly, O. M. 12 2002 A Lie algebraic generalization of the Mumford system, its symmetries and its multi-Hamiltonian structure. Zbl 0964.37033Pedroni, M.; Vanhaecke, P. 12 1998 Stability and bifurcations for the \(N+1\) vortex problem on the sphere. Zbl 1150.76348Cabral, H. E.; Meyer, K. R.; Schmidt, D. C. 12 2003 On the problem of motion of vortex sources on a plane. Zbl 1164.37353Borisov, A. V.; Mamaev, I. S. 12 2006 Rigorous and accurate enclosure of invariant manifolds on surfaces. Zbl 1203.37030Wittig, A.; Berz, M.; Grote, J.; Makino, K.; Newhouse, S. 12 2010 Thick attractors of step skew products. Zbl 1225.37033Ilyashenko, Yu. 12 2010 Poisson structures for geometric curve flows in semi-simple homogeneous spaces. Zbl 1229.22018Marí Beffa, G.; Olver, P. J. 12 2010 On detachment conditions in the problem on the motion of a rigid body on a rough plane. Zbl 1229.70015Ivanov, A. P. 12 2008 Integrable Lotka-Volterra systems. Zbl 1229.37097Bogoyavlenskij, O. I. 12 2008 Bifurcation analysis and the Conley index in mechanics. Zbl 1252.76055Bolsinov, Alexey V.; Borisov, Alexey V.; Mamaev, Ivan S. 12 2012 Lie algebras in vortex dynamics and celestial mechanics. IV. Zbl 1076.76513Bolsinov, A. V.; Borisov, A. V.; Mamaev, I. S. 12 1999 Symbolic software for separation of variables in the Hamilton-Jacobi equation for the \(L\)-systems. Zbl 1133.37329Grigor’ev, Yu. A.; Tsyganov, A. V. 12 2005 Secular dynamics of a planar model of the Sun-Jupiter-Saturn-Uranus system; effective stability in the light of Kolmogorov and Nekhoroshev theories. Zbl 1390.70020Giorgilli, Antonio; Locatelli, Ugo; Sansottera, Marco 12 2017 Comments on the paper by A. V. Borisov, A. A. Kilin, I. S. Mamaev “How to control the Chaplygin ball using rotors. II”. Zbl 1353.70059Ivanova, Tatiana B.; Pivovarova, Elena N. 12 2014 A new \((3+1)\)-dimensional Hirota bilinear equation: its Bäcklund transformation and rational-type solutions. Zbl 1450.37065Hosseini, Kamyar; Samavat, Majid; Mirzazadeh, Mohammad; Ma, Wen-Xiu; Hammouch, Zakia 3 2020 Kovalevskaya exponents, weak Painlevé property and integrability for quasi-homogeneous differential systems. Zbl 07241976Huang, Kaiyin; Shi, Shaoyun; Li, Wenlei 2 2020 Dynamics of rubber Chaplygin sphere under periodic control. Zbl 1437.37082Mamaev, Ivan S.; Vetchanin, Evgeny V. 2 2020 Lax pairs and special polynomials associated with self-similar reductions of Sawada – Kotera and Kupershmidt equations. Zbl 1441.34096Kudryashov, Nikolay A. 2 2020 Experimental results versus computer simulations of noisy Poincaré maps in an intermittency scenario. Zbl 1450.37072del Rio, Ezequiel; Elaskar, Sergio 1 2020 On the stability of potential systems under the action of non-conservative positional forces. Zbl 1464.70013Bulatovic, Ranislav M. 1 2020 On the nonlinear stability of the triangular points in the circular spatial restricted three-body problem. Zbl 1441.70004Cárcamo-Díaz, Daniela; Palacián, Jesús F.; Vidal, Claudio; Yanguas, Patricia 1 2020 Conservation laws for highly dispersive optical solitons in birefringent fibers. Zbl 1433.78019Biswas, Anjan; Kara, Abdul H.; Zhou, Qin; Alzahrani, Abdullah Kamis; Belic, Milivoj R. 1 2020 Periodic controls in step 2 strictly convex sub-Finsler problems. Zbl 07196170Sachkov, Yuri L. 1 2020 Caustics of Poncelet polygons and classical extremal polynomials. Zbl 1432.37055Dragović, Vladimir; Radnović, Milena 5 2019 Hamiltonization and separation of variables for a Chaplygin ball on a rotating plane. Zbl 1433.37065Tsiganov, Andrey V. 4 2019 Sub-Finsler geodesics on the Cartan group. Zbl 1412.49084Ardentov, Andrei A.; Le Donne, Enrico; Sachkov, Yuri L. 4 2019 Rational and special solutions for some Painlevé hierarchies. Zbl 1415.34132Kudryashov, Nikolay A. 4 2019 Euler elasticas for optimal control of the motion of mobile wheeled robots: the problem of experimental realization. Zbl 1431.49056Ardentov, Andrey A.; Karavaev, Yury L.; Yefremov, Kirill S. 3 2019 The Kepler problem: polynomial algebra of nonpolynomial first integrals. Zbl 1459.70041Tsiganov, Andrey V. 3 2019 The dynamics of a Chaplygin sleigh with an elastic internal rotor. Zbl 1412.37066Fedonyuk, Vitaliy; Tallapragada, Phanindra 3 2019 Different models of rolling for a robot ball on a plane as a generalization of the Chaplygin ball problem. Zbl 1437.37078Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S. 3 2019 Qualitative analysis of the nonholonomic rolling of a rubber wheel with sharp edges. Zbl 1423.70013Kilin, Alexander A.; Pivovarova, Elena N. 2 2019 On the motions of one near-autonomous Hamiltonian system at a 1:1:1 resonance. Zbl 1428.70037Kholostova, Olga V. 2 2019 Evolution of Lagrangian manifolds and asymptotic solutions to the linearized equations of gas dynamics. Zbl 1412.35060Allilueva, Anna I.; Shafarevich, Andrei I. 2 2019 V. I. Arnold’s “Pointwise” KAM theorem. Zbl 1435.37085Chierchia, L.; Koudjinan, C. E. 2 2019 Roaming at constant kinetic energy: Chesnavich’s model and the Hamiltonian isokinetic thermostat. Zbl 1436.37075Krajňák, Vladimír; Ezra, Gregory S.; Wiggins, Stephen 2 2019 Periodic billiards within conics in the Minkowski plane and Akhiezer polynomials. Zbl 1436.37036Adabrah, Anani Komla; Dragović, Vladimir; Radnović, Milena 2 2019 On the constructive algorithm for stability analysis of an equilibrium point of a periodic Hamiltonian system with two degrees of freedom in the case of combinational resonance. Zbl 1430.37060Bardin, Boris S.; Chekina, Evgeniya A. 1 2019 Combinatorial Ricci flow for degenerate circle packing metrics. Zbl 1431.52031Pepa, Ruslan Yu.; Popelensky, Theodore Yu. 1 2019 Vortex pairs on the triaxial ellipsoid: axis equilibria stability. Zbl 1457.76078Koiller, Jair; Castilho, César; Rodrigues, Adriano Regis 1 2019 Integrability and chaos in vortex lattice dynamics. Zbl 1458.76021Kilin, Alexander A.; Artemova, Elizaveta M. 1 2019 Painlevé analysis and a solution to the traveling wave reduction of the Radhakrishnan-Kundu-Lakshmanan equation. Zbl 1434.78022Kudryashov, Nikolay A.; Safonova, Dariya V.; Biswas, Anjan 1 2019 Stability of periodic solutions of the \(N\)-vortex problem in general domains. Zbl 1436.37065Gebhard, Björn; Ortega, Rafael 1 2019 Jumps of energy near a homoclinic set of a slowly time dependent Hamiltonian system. Zbl 1435.37084Bolotin, Sergey V. 1 2019 Twisted states in a system of nonlinearly coupled phase oscillators. Zbl 1442.45003Bolotov, Dmitry; Bolotov, Maxim; Smirnov, Lev; Osipov, Grigory; Pikovsky, Arkady 1 2019 Topaj-Pikovsky involution in the Hamiltonian lattice of locally coupled oscillators. Zbl 1435.37099Kruglov, Vyacheslav P.; Kuznetsov, Sergey P. 1 2019 On the Chaplygin sphere in a magnetic field. 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Zbl 1411.70026Jovanović, Božidar; Jovanović, Vladimir 2 2018 Dipole and multipole flows with point vortices and vortex sheets. Zbl 1411.76019O’Neil, Kevin A. 2 2018 Three vortices in spaces of constant curvature: reduction, Poisson geometry, and stability. Zbl 1411.76116Borisov, Alexey V.; Mamaev, Ivan S.; Bizyaev, Ivan A. 2 2018 On the “hidden” harmonics associated to best approximants due to quasi-periodicity in splitting phenomena. Zbl 1410.37023Fontich, Ernest; Simó, Carles; Vieiro, Arturo 2 2018 Detection of phase space structures of the cat map with Lagrangian descriptors. Zbl 1412.37062García-Garrido, Víctor J.; Balibrea-Iniesta, Francisco; Wiggins, Stephen; Mancho, Ana M.; Lopesino, Carlos 2 2018 On discretization of the Euler top. Zbl 1412.37060Tsiganov, Andrey V. 2 2018 Recent results on the dynamics of higher-dimensional Hénon maps. Zbl 1400.37033Anastassiou, Stavros; Bountis, Anastasios; Bäcker, Arnd 2 2018 A nonholonomic model of the Paul trap. 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Zbl 1384.37046Bolotin, Sergey V. 3 2017 ...and 663 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,420 Authors 105 Borisov, Alekseĭ Vladimirovich 96 Mamaev, Ivan Sergeevich 58 Kudryashov, Nikolaĭ Alekseevich 56 Tsyganov, Andreĭ Vladimirovich 45 Kilin, Aleksandr Aleksandrovich 33 Bizyaev, Ivan Alekseevich 26 Kozlov, Valeriĭ Vasil’evich 25 Xu, Junxiang 23 Gonchenko, Sergey V. 23 Przybylska, Maria 22 Kuznetsov, Sergey P. 22 Llibre, Jaume 21 Matveev, Vladimir S. 21 Simó, Carles 21 Wiggins, Stephen 20 Turaev, Dmitry V. 20 Zhang, Dongfeng 19 Broer, Henk W. 19 Vidal, Claudio 18 Dragović, Vladimir 18 Kazakov, Alexey O. 17 Bolsinov, Alexey V. 17 García-Naranjo, Luis C. 17 Maciejewski, Andrzej J. 17 Vetchanin, Evgeniĭ Vladimirovich 16 Sinelshchikov, Dmitry I. 15 Bardin, Boris Sabirovich 15 Dullin, Holger R. 15 Ryabov, Pavel Evgen’evich 14 Bounemoura, Abed 14 Gonchenko, Marina S. 14 Kurakin, Leonid G. 14 Mireles-James, Jason D. 13 Delshams, Amadeu 12 Grammaticos, Basil 12 Guzzo, Massimiliano 12 Hanßmann, Heinz 12 Kizner, Ziv 12 Meiss, James D. 12 Palacián, Jesús F. 12 Ramani, Alfred 12 Valiquette, Francis 12 Yanguas, Patricia 11 Pinzari, Gabriella 10 Ivanov, Aleksandr Pavlovich 10 Newton, Paul K. 10 Petrera, Matteo 10 Pivovarova, Elena Nikolaevna 10 Sansottera, Marco 10 Sataev, Igor’ Rustamovich 10 Sokolov, Sergeĭ Viktorovich 9 Corbera, Montserrat 9 de la Llave, Rafael 9 Fassò, Francesco 9 Fedorov, Yuri N. 9 Gutkin, Eugene 9 Kanso, Eva Adnan 9 Karavaev, Yurĭ Leonidovich 9 Rozikov, Utkir A. 9 Suris, Yuri Borisovich 8 Anishchenko, Vadim Semenovich 8 Balseiro, Paula 8 Berti, Massimiliano 8 Bloch, Anthony M. 8 Bolotin, Sergeĭ Vladimirovich 8 Damianou, Pantelis Andrea 8 Ferrer, Sebastián 8 Gonchenko, Alexander S. 8 Jovanović, Božidar Žarko 8 Kharlamov, Mikhail P. 8 Koiller, Jair 8 Locatelli, Ugo 8 Miranda, Eva 8 Radnović, Milena 8 Santoprete, Manuele 8 Sevryuk, Mikhail Borisovich 8 Valls Anglés, Cláudia 8 Vanhaecke, Pol 8 Vieiro, Arturo 7 Burov, Aleksandr Anatol’evich 7 Calleja, Renato C. 7 Demina, Maria V. 7 Elipe, Antonio 7 Falqui, Gregorio 7 Fortunati, Alessandro 7 Ivanov, Alexey V. 7 Kaloshin, Vadim Yu. 7 Kruglov, Vyacheslav Pavlovich 7 Lăzureanu, Cristian 7 Li, Dong 7 Long, Yiming 7 Markeev, Anatoliĭ Pavlovich 7 Marsden, Jerrold Eldon 7 Mikishanina, Evgeniya Arifzhanovna 7 Morozov, Al’bert Dmitrievich 7 Nguyen Tien Zung 7 Ostrovskaya, Irina V. 7 Pérez-Chavela, Ernesto 7 Shilnikov, Andrey L. 7 Si, Jianguo ...and 2,320 more Authors all top 5 Cited in 333 Journals 388 Regular and Chaotic Dynamics 83 Chaos 80 Physica D 70 Journal of Mathematical Physics 66 Celestial Mechanics and Dynamical Astronomy 61 Journal of Differential Equations 61 Nelineĭnaya Dinamika 59 Journal of Geometry and Physics 54 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 42 Journal of Nonlinear Science 41 Communications in Nonlinear Science and Numerical Simulation 37 Nonlinearity 37 Theoretical and Mathematical Physics 35 Communications in Mathematical Physics 33 Journal of Mathematical Analysis and Applications 33 Discrete and Continuous Dynamical Systems 29 Applied Mathematics and Computation 28 Journal of Mathematical Sciences (New York) 27 Journal of Applied Mathematics and Mechanics 26 Physics Letters. 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