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: 1,085 Publications (since 1998) References Indexed: 740 Publications with 20,504 References. all top 5 Latest Issues 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) 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) ...and 23 more Volumes all top 5 Authors 95 Borisov, Alekseĭ Vladimirovich 82 Mamaev, Ivan Sergeevich 41 Kilin, Aleksandr Aleksandrovich 29 Tsyganov, Andreĭ Vladimirovich 28 Kozlov, Valeriĭ Vasil’evich 24 Kudryashov, Nikolaĭ Alekseevich 20 Bizyaev, Ivan Alekseevich 18 Kuznetsov, Sergey P. 17 Wiggins, Stephen 13 Dragović, Vladimir 12 Bardin, Boris Sabirovich 12 Gonchenko, Sergey V. 12 Markeev, Anatoliĭ Pavlovich 11 Ivanov, Aleksandr Pavlovich 11 Przybylska, Maria 10 Grammaticos, Basil 10 Morozov, Al’bert Dmitrievich 10 Turaev, Dmitry V. 9 Bolotin, Sergeĭ Vladimirovich 9 Neĭshtadt, Anatoliĭ Iserovich 9 Treshchev, Dmitriĭ Valer’evich 9 Vidal, Claudio 8 Carton, Xavier J. 8 Kazakov, Alexey O. 8 Pivovarova, Elena Nikolaevna 8 Sevryuk, Mikhail Borisovich 8 Simó, Carles 8 Vetchanin, Evgeniĭ Vladimirovich 7 Bolsinov, Alexey V. 7 Kurakin, Leonid Gennadievich 7 Lerman, Lev 7 Maciejewski, Andrzej J. 7 O’Neil, Kevin Anthony 7 Pochinka, Olga Vital’evna 7 Ramani, Alfred 7 Rauch-Wojciechowski, Stefan 7 Sokolovskiy, Mikhail A. 6 Albouy, Alain 6 Anishchenko, Vadim Semenovich 6 Broer, Henk W. 6 Cabral, Hildeberto Eulalio 6 Chaplygin, Sergeĭ Alekseevich 6 Chenciner, Alain 6 Cushman, Richard H. 6 Damianou, Pantelis Andrea 6 Dullin, Holger R. 6 Fassò, Francesco 6 Gajić, Borislav 6 Kharlamov, Mikhail P. 6 Osipov, Grigory V. 6 Ryabov, Pavel Evgen’evich 6 Yehia, Hamad M. 5 Chierchia, Luigi 5 Demina, Maria V. 5 Fedorov, Yuri N. 5 Grines, Vyacheslav Zigmundovich 5 Karavaev, Yurĭ Leonidovich 5 Radnović, Milena 5 Sataev, Igor’ Rustamovich 5 Shafarevich, Andreĭ Igorevich 5 Stremler, Mark A. 4 Biswas, Anjan 4 Bogoyavlenskij, Oleg Igorevich 4 Bounemoura, Abed Bounemoura 4 Burov, Aleksandr Anatol’evich 4 Celletti, Alessandra 4 Chekina, Evgeniya Alekseevna 4 Delshams, Amadeu 4 Dritschel, David Gerard 4 Elipe, Antonio 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 Koiller, Jair 4 Lanchares, Víctor 4 Meiss, James D. 4 Miranda, Eva 4 Negrini, Piero 4 Novokshenov, Viktor Yur’evich 4 Ostrovskaya, Irina V. 4 Ovsyannikov, Ivan I. 4 Pedroni, Marco 4 Polekhin, Ivan Yu. 4 Ramodanov, Sergey M. 4 Rudnev, Misha 4 Sachkov, Yuriĭ Leonidovich 4 Shilnikov, Andrey L. 4 Sinaĭ, Yakov Grigor’evich 4 Sinelshchikov, Dmitry I. 4 Sokolov, Sergeĭ Viktorovich 4 Strelkova, Galina Ivanova 4 Tabachnikov, Serge L. 4 Verron, Jacques 4 Zhalnin, Alekseĭ Yur’evich ...and 870 more Authors all top 5 Fields 700 Dynamical systems and ergodic theory (37-XX) 568 Mechanics of particles and systems (70-XX) 189 Ordinary differential equations (34-XX) 130 Fluid mechanics (76-XX) 81 Differential geometry (53-XX) 53 Partial differential equations (35-XX) 41 History and biography (01-XX) 30 Statistical mechanics, structure of matter (82-XX) 26 Biology and other natural sciences (92-XX) 23 Mechanics of deformable solids (74-XX) 22 Global analysis, analysis on manifolds (58-XX) 22 Quantum theory (81-XX) 21 Numerical analysis (65-XX) 20 Algebraic geometry (14-XX) 20 Systems theory; control (93-XX) 18 Difference and functional equations (39-XX) 14 Special functions (33-XX) 14 Optics, electromagnetic theory (78-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 11 Geophysics (86-XX) 10 Topological groups, Lie groups (22-XX) 10 Manifolds and cell complexes (57-XX) 8 Number theory (11-XX) 8 Measure and integration (28-XX) 8 Probability theory and stochastic processes (60-XX) 7 General and overarching topics; collections (00-XX) 7 Operator theory (47-XX) 6 Nonassociative rings and algebras (17-XX) 6 General topology (54-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) 3 Commutative algebra (13-XX) 3 Approximations and expansions (41-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Operations research, mathematical programming (90-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 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 810 Publications have been cited 5,306 times in 2,736 Documents Cited by ▼ Year ▼ Invariant tori in non-degenerate nearly integrable Hamiltonian systems. Zbl 0992.37050Rüssmann, H. 87 2001 Rolling of a rigid body on a plane and sphere. Hierarchy of dynamics. Zbl 1058.70009Borisov, A. V.; Mamaev, I. S. 66 2002 Conservation laws, hierarchy of dynamics and explicit integration of nonholonomic systems. Zbl 1229.70038Borisov, A. V.; Mamaev, I. S. 65 2008 On the theory of motion of nonholonomic systems. The reducing-multiplier theorem. Translated from the Russian 1911 original. Zbl 1229.37082Chaplygin, S. A. 61 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. 56 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. 53 2013 Richness of chaotic dynamics in nonholonomic models of a Celtic stone. Zbl 1417.37222Gonchenko, Alexander S.; Gonchenko, Sergey V.; Kazakov, Alexey O. 51 2013 How to control Chaplygin’s sphere using rotors. Zbl 1264.37016Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S. 47 2012 On a ball’s rolling on a horizontal plane. Translated from the Russian 1903 original. Zbl 1058.70003Chaplygin, S. A. 44 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 Trajectory equivalence and corresponding integrals. Zbl 0928.37003Matveev, V. S.; Topalov, P. Ĭ. 36 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. 35 2014 The problem of drift and recurrence for the rolling Chaplygin ball. Zbl 1286.70007Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S. 35 2013 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. 33 2012 On the integration theory of equations of nonholonomic mechanics. Zbl 1006.37040Kozlov, V. V. 32 2002 Two-body problem on a sphere. Reduction, stochasticity, periodic orbits. Zbl 1065.37058Borisov, A. V.; Mamaev, I. S.; Kilin, A. A. 30 2004 Hamiltonization of non-holonomic systems in the neighborhood of invariant manifolds. Zbl 1309.37049Bolsinov, A. V.; Borisov, A. V.; Mamaev, I. S. 30 2011 Symmetries and reduction in nonholonomic mechanics. Zbl 1342.37001Borisov, Alexey V.; Mamaev, Ivan S. 30 2015 The dynamics of Chaplygin ball: the qualitative and computer analysis. Zbl 1074.70513Kilin, A. A. 29 2001 Chaplygin ball over a fixed sphere: an explicit integration. Zbl 1229.37080Borisov, A. V.; Fedorov, Yu. N.; Mamaev, I. S. 29 2008 Popular ansatz methods and solitary wave solutions of the Kuramoto-Sivashinsky equation. Zbl 1229.34008Kudryashov, N. A.; Soukharev, M. B. 29 2009 The Jacobi integral in nonholonomic mechanics. Zbl 1367.70036Borisov, Alexey V.; Mamaev, Ivan. S.; Bizyaev, Ivan. A. 28 2015 Strange attractors and mixed dynamics in the problem of an unbalanced rubber ball rolling on a plane. Zbl 1417.37223Kazakov, Alexey O. 27 2013 On a paper of Moeckel on central configurations. Zbl 1061.70006Albouy, A. 26 2003 Asymptotic stability and associated problems of dynamics of falling rigid body. Zbl 1229.37107Borisov, A. V.; Kozlov, V. V.; Mamaev, I. S. 26 2007 Chaotic dynamics of three-dimensional Hénon maps that originate from a homoclinic bifurcation. Zbl 1164.37306Gonchenko, S. V.; Meiss, J. D.; Ovsyannikov, I. I. 26 2006 Rubber rolling over a sphere. Zbl 1229.37089Koiller, Jair; Ehlers, Kurt 25 2007 The dynamics and control of a spherical robot with an internal omniwheel platform. Zbl 1317.93192Karavaev, Yury L.; Kilin, Alexander A. 25 2015 Solitary and periodic solutions of the generalized Kuramoto-Sivashinsky equation. Zbl 1229.35229Kudryashov, N. A. 24 2008 Bifurcations of Liouville tori in elliptical billiards. Zbl 1229.37065Dragović, V.; Radnović, M. 24 2009 On integrability of Hirota-Kimura type discretizations. Zbl 1258.37067Petrera, Matteo; Pfadler, Andreas; Suris, Yuri B. 24 2011 Quasi-periodic bifurcations of invariant circles in low-dimensional dissipative dynamical systems. Zbl 1225.37087Vitolo, Renato; Broer, Henk; Simó, Carles 24 2011 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. 23 2014 Billiard dynamics: a survey with the emphasis on open problems. Zbl 1023.37022Gutkin, E. 23 2003 The Chaplygin sleigh with parametric excitation: chaotic dynamics and nonholonomic acceleration. Zbl 1398.37056Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S. 23 2017 Spherical robot of combined type: dynamics and control. Zbl 1339.93081Kilin, Alexander A.; Pivovarova, Elena N.; Ivanova, Tatyana B. 22 2015 Dynamics and statics of vortices on a plane and a sphere. I. Zbl 0934.76014Borisov, A. V.; Pavlov, A. E. 22 1998 Dynamics of rolling disk. Zbl 1112.37320Borisov, A. V.; Mamaev, I. S.; Kilin, A. A. 22 2003 Hamiltonicity and integrability of the Suslov problem. Zbl 1277.70008Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S. 22 2011 Higher dimensional continued fractions. Zbl 1044.11596Arnold, V. I. 21 1998 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 On global bifurcations in three-dimensional diffeomorphisms leading to wild Lorenz-like attractors. Zbl 1229.37041Gonchenko, S. V.; Shilnikov, L. P.; Turaev, D. V. 21 2009 On a motion of a heavy body of revolution on a horizontal plane. Translated from the Russian 1897 original. Zbl 1058.70002Chaplygin, S. A. 20 2002 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 Mock (false) theta functions as quantum invariants. Zbl 1133.57301Hikami, K. 20 2005 Nekhoroshev-stability of \(L4\) and \(L5\) in the spatial restricted three-body problem. Zbl 0934.70010Benettin, G.; Fassò, F.; Guzzo, M. 19 1998 An integrability of the problem on motion of cylinder and vortex in the ideal fluid. Zbl 1112.37315Borisov, A. V.; Mamaev, I. S. 19 2003 Bi-Hamiltonian structures and singularities of integrable systems. Zbl 1229.37092Bolsinov, A. V.; Oshemkov, A. A. 19 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. 19 2012 KAM à la R. Zbl 1219.37044Pöschel, Jürgen 19 2011 The role of normally hyperbolic invariant manifolds (NHIMS) in the context of the phase space setting for chemical reaction dynamics. Zbl 1369.34068Wiggins, Stephen 19 2016 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. 18 1998 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. 18 2005 Motion of a circular cylinder and \(n\) point vortices in a perfect fluid. Zbl 1051.76009Borisov, A. V.; Mamaev, I. S.; Ramodanov, S. M. 18 2003 Simultaneous separation for the Neumann and Chaplygin systems. Zbl 1325.37052Tsiganov, Andrey 18 2015 On the Hadamard-Hamel problem and the dynamics of wheeled vehicles. Zbl 1367.70034Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S. 17 2015 Geometric integration via multi-space. Zbl 1068.65092Kim, Pilwon; Olver, Peter J. 17 2004 The dynamics of orbits in a potential field of a solid circular ring. Zbl 1128.70308Broucke, R. A.; Elipe, A. 17 2005 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. 17 2007 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 Two variations on the theme of Lamb–Chaplygin: supersmooth dipole and rotating multipoles. Zbl 1102.76008Kizner, Ziv; Khvoles, R. 16 2004 Rolling of a non-homogeneous ball over a sphere without slipping and twisting. Zbl 1229.37081Borisov, A. V.; Mamaev, I. S. 16 2007 Multiparticle systems. The algebra of integrals and integrable cases. Zbl 1229.37106Borisov, A. V.; Kilin, A. A.; Mamaev, I. S. 16 2009 Stability of Thomson’s configurations of vortices on a sphere. Zbl 0967.76023Borisov, A. V.; Kilin, A. A. 16 2000 Asymmetric discrete Painlevé equations. Zbl 0983.34083Kruskal, M. D.; Tamizhmani, K. M.; Grammaticos, B.; Ramani, A. 16 2000 The spatial problem of 2 bodies on a sphere. Reduction and stochasticity. Zbl 1402.70015Borisov, Alexey V.; Mamaev, Ivan S.; Bizyaev, Ivan A. 16 2016 Higher Painlevé transcendents as special solutions of some nonlinear integrable hierarchies. Zbl 1328.35193Kudryashov, Nikolay A. 16 2014 Dynamics of three vortices on a plane and a sphere. II: General compact case. Zbl 0933.76016Borisov, A. V.; Lebedev, V. G. 15 1998 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 The Euler-Jacobi-Lie integrability theorem. Zbl 1283.34035Kozlov, Valery V. 15 2013 Euler configurations and quasi-polynomial systems. Zbl 1229.70032Albouy, A.; Fu, Y. 15 2007 The type numbers of closed geodesics. Zbl 1229.58015Taimanov, I. A. 15 2010 Dynamics of heton-like vortices. Zbl 1164.76423Gryanik, V. M.; Sokolovskiy, M. A.; Verron, J. 15 2006 Synchronization of Chimera states in a network of many unidirectionally coupled layers of discrete maps. Zbl 1411.90070Strelkova, Galina I.; Vadivasova, Tatiana E.; Anishchenko, Vadim S. 15 2018 Exotic dynamics of nonholonomic roller racer with periodic control. Zbl 1412.37064Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S. 15 2018 Bifurcation diagrams of the Kowalevski top in two constant fields. Zbl 1133.70306Kharlamov, M. P. 15 2005 The inertial motion of a roller racer. Zbl 1381.37076Bizyaev, Ivan A. 14 2017 The ringing of Euler’s disk. Zbl 1013.70005Kessler, P.; O’Reilly, O. M. 14 2002 Periodic flows, rank-two Poisson structures, and nonholonomic mechanics. Zbl 1077.37043Fassò, F.; Giacobbe, A.; Sansonetto, N. 14 2005 On detachment conditions in the problem on the motion of a rigid body on a rough plane. Zbl 1229.70015Ivanov, A. P. 14 2008 A generalization of Chaplygin’s reducibility theorem. Zbl 1229.37087Fernandez, O. E.; Mestdag, T.; Bloch, A. M. 14 2009 Lie algebras in vortex dynamics and celestial mechanics. IV. Zbl 1076.76513Bolsinov, A. V.; Borisov, A. V.; Mamaev, I. S. 14 1999 Dynamics and control of an omniwheel vehicle. Zbl 1367.70033Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S. 14 2015 Plate falling in a fluid: regular and chaotic dynamics of finite-dimensional models. Zbl 1327.34089Kuznetsov, Sergey P. 14 2015 Paul Painlevé and his contribution to science. Zbl 1333.01025Borisov, Alexey V.; Kudryashov, Nikolay A. 14 2014 The dynamics of an articulated \(n\)-trailer vehicle. Zbl 1342.37064Bravo-Doddoli, Alejandro; García-Naranjo, Luis C. 14 2015 Aspects of the planetary Birkhoff normal form. Zbl 1320.70007Pinzari, Gabriella 14 2013 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. 14 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 14 2013 Integrable Lotka-Volterra systems. Zbl 1229.37097Bogoyavlenskij, O. I. 13 2008 On cascades of elliptic periodic points in two-dimensional symplectic maps with homoclinic tangencies. Zbl 1229.37054Gonchenko, M. S.; Gonchenko, S. V. 13 2009 Remarks on the definition of hyperbolic tori of Hamiltonian systems. Zbl 1005.70015Bolotin, S. V.; Treschev, D. V. 13 2000 On the problem of motion of vortex sources on a plane. Zbl 1164.37353Borisov, A. V.; Mamaev, I. S. 13 2006 The dynamics of vortex rings: leapfrogging, choreographies and the stability problem. Zbl 1273.76067Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S. 13 2013 Linear Hamiltonian systems: quadratic integrals, singular subspaces and stability. Zbl 1400.37061Kozlov, Valery V. 13 2018 Qualitative analysis of the dynamics of a wheeled vehicle. Zbl 1367.70035Borisov, Alexey V.; Mamaev, Ivan S.; Kilin, Alexander A.; Bizyaev, Ivan A. 12 2015 Scientific heritage of L. P. Shilnikov. Zbl 1353.37001Afraimovich, Valentin S.; Gonchenko, Sergey V.; Lerman, Lev M.; Shilnikov, Andrey L.; Turaev, Dmitry V. 12 2014 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 Moving frames and joint differential invariants. Zbl 1014.53013Olver, P. J. 12 1999 Soliton solutions of high-order nonlinear Schrödinger equations with different laws of nonlinearities. Zbl 1473.35506Hosseini, Kamyar; Matinfar, Mashaallah; Mirzazadeh, Mohammad 2 2021 Uncertainty quantification of stochastic epidemic SIR models using B-spline polynomial chaos. Zbl 1471.92320Kaur, Navjot; Goyal, Kavita 1 2021 Parametric stability of a charged pendulum with an oscillating suspension point. Zbl 07411797Araujo, Gerson Cruz; Cabral, Hildeberto E. 1 2021 From Poincaré maps to Lagrangian descriptors: the case of the valley ridge inflection point potential. Zbl 07441602Crossley, Rebecca; Agaoglou, Makrina; Katsanikas, Matthaios; Wiggins, Stephen 1 2021 A restricted four-body problem for the figure-eight choreography. Zbl 1475.34033Lara, Ricardo; Bengochea, Abimael 1 2021 Compactness and index of ordinary central configurations for the curved \(n\)-body problem. Zbl 07441607Zhu, Shuqiang 1 2021 Lax pairs and rational solutions of similarity reductions for Kupershmidt and Sawada-Kotera hierarchies. Zbl 1475.34055Kudryashov, Nikolay A. 1 2021 Recruitment effects on the evolution of epidemics in a simple SIR model. Zbl 1478.92213Nakamura, Gilberto; Grammaticos, Basil; Badoual, Mathilde 1 2021 Classification of perturbations of Diophantine \(\mathbb{Z}^m\) actions on tori of arbitrary dimension. Zbl 07472281Petković, Boris 1 2021 Existence of a smooth Hamiltonian circle action near parabolic orbits and cuspidal tori. Zbl 07472283Kudryavtseva, Elena A.; Martynchuk, Nikolay N. 1 2021 The time evolution of the trajectories after the selectivity in a symmetric potential energy surface with a post-transition-state bifurcation. Zbl 07472286Haigh, Douglas; Katsanikas, Matthaios; Agaoglou, Makrina; Wiggins, Stephen 1 2021 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 10 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. 5 2020 Stability and stabilization of steady rotations of a spherical robot on a vibrating base. Zbl 1475.70005Kilin, Alexander A.; Pivovarova, Elena N. 4 2020 Dynamics of the tippe top on a vibrating base. Zbl 1475.70007Borisov, Alexey V.; Ivanov, Alexander P. 3 2020 Kovalevskaya exponents, weak Painlevé property and integrability for quasi-homogeneous differential systems. Zbl 1470.34004Huang, Kaiyin; Shi, Shaoyun; Li, Wenlei 3 2020 Revisiting the human and nature dynamics model. Zbl 1440.37083Grammaticos, Basil; Willox, Ralph; Satsuma, Junkichi 3 2020 Dynamics of rubber Chaplygin sphere under periodic control. Zbl 1437.37082Mamaev, Ivan S.; Vetchanin, Evgeny V. 3 2020 Periodic controls in step 2 strictly convex sub-Finsler problems. Zbl 1473.49026Sachkov, Yuri L. 3 2020 Lax pairs and special polynomials associated with self-similar reductions of Sawada – Kotera and Kupershmidt equations. Zbl 1441.34096Kudryashov, Nikolay A. 3 2020 Confinement strategies in a simple SIR model. Zbl 1471.92337Nakamura, Gilberto; Grammaticos, Basil; Badoual, Mathilde 2 2020 Highly dispersive optical solitons of an equation with arbitrary refractive index. Zbl 1471.35251Kudryashov, Nikolay A. 2 2020 The role of depth and flatness of a potential energy surface in chemical reaction dynamics. Zbl 1465.37070Lyu, Wenyang; Naik, Shibabrat; Wiggins, Stephen 2 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 2 2020 Nondegenerate Hamiltonian Hopf bifurcations in \(\omega:3:6\) resonance \((\omega=1\) or \(2)\). Zbl 1475.70019Mazrooei-Sebdani, Reza; Hakimi, Elham 1 2020 Persistence of hyperbolic-type degenerate lower-dimensional invariant tori with prescribed frequencies in Hamiltonian systems. Zbl 1481.37067Xu, Junxiang; You, Jiangong 1 2020 Rational solutions of equations associated with the second Painlevé equation. Zbl 1451.34004Kudryashov, Nikolay A. 1 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 Optical dromions and domain walls with the Kundu-Mukherjee-Naskar equation by the Laplace-Adomian decomposition scheme. Zbl 1448.65291González-Gaxiola, Oswaldo; Biswas, Anjan; Asma, Mir; Alzahrani, Abdullah Kamis 1 2020 The method of averaging for the Kapitza-Whitney pendulum. Zbl 1466.70020Polekhin, Ivan Yu. 1 2020 Dynamics and bifurcations on the normally hyperbolic invariant manifold of a periodically driven system with rank-1 saddle. Zbl 1458.37045Kuchelmeister, Manuel; Reiff, Johannes; Main, Jörg; Hernandez, Rigoberto 1 2020 Caustics of Poncelet polygons and classical extremal polynomials. Zbl 1432.37055Dragović, Vladimir; Radnović, Milena 7 2019 Sub-Finsler geodesics on the Cartan group. Zbl 1412.49084Ardentov, Andrei A.; Le Donne, Enrico; Sachkov, Yuri L. 6 2019 Hamiltonization and separation of variables for a Chaplygin ball on a rotating plane. Zbl 1433.37065Tsiganov, Andrey V. 5 2019 Rational and special solutions for some Painlevé hierarchies. 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Zbl 1400.37033Anastassiou, Stavros; Bountis, Anastasios; Bäcker, Arnd 2 2018 Suslov problem with the Clebsch-Tisserand potential. Zbl 1434.70036Hu, Shengda; Santoprete, Manuele 2 2018 Complete set of invariants for a Bykov attractor. Zbl 1401.34036Carvalho, Maria; Rodrigues, Alexandre P. 2 2018 ...and 710 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,734 Authors 109 Borisov, Alekseĭ Vladimirovich 99 Mamaev, Ivan Sergeevich 61 Kudryashov, Nikolaĭ Alekseevich 57 Tsyganov, Andreĭ Vladimirovich 48 Kilin, Aleksandr Aleksandrovich 34 Bizyaev, Ivan Alekseevich 29 Xu, Junxiang 28 Kozlov, Valeriĭ Vasil’evich 28 Wiggins, Stephen 25 Vidal, Claudio 24 Gonchenko, Sergey V. 24 Przybylska, Maria 23 Llibre, Jaume 22 Kuznetsov, Sergey P. 22 Matveev, Vladimir S. 22 Zhang, Dongfeng 21 Simó, Carles 21 Turaev, Dmitry V. 19 Broer, Henk W. 19 Dragović, Vladimir 19 García-Naranjo, Luis C. 19 Kazakov, Alexey O. 19 Maciejewski, Andrzej J. 19 Vetchanin, Evgeniĭ Vladimirovich 17 Bolsinov, Alexey V. 16 Bardin, Boris Sabirovich 16 Ryabov, Pavel Evgen’evich 16 Sinelshchikov, Dmitry I. 15 Bounemoura, Abed Bounemoura 15 Dullin, Holger R. 15 Gonchenko, Marina S. 15 Grammaticos, Basil 15 Kurakin, Leonid Gennadievich 14 Mireles-James, Jason D. 13 Delshams, Amadeu 13 Meiss, James D. 13 Palacián, Jesús F. 13 Yanguas, Patricia 12 Guzzo, Massimiliano 12 Hanßmann, Heinz 12 Ivanov, Aleksandr Pavlovich 12 Kizner, Ziv 12 Pivovarova, Elena Nikolaevna 12 Ramani, Alfred 12 Sokolov, Sergeĭ Viktorovich 12 Strelkova, Galina Ivanova 12 Valiquette, Francis 11 Anishchenko, Vadim Semenovich 11 Karavaev, Yurĭ Leonidovich 11 Petrera, Matteo 11 Pinzari, Gabriella 11 Sataev, Igor’ Rustamovich 11 Suris, Yuri Borisovich 10 de la Llave, Rafael 10 Newton, Paul K. 10 Sansottera, Marco 9 Balseiro, Paula 9 Bolotin, Sergeĭ Vladimirovich 9 Corbera, Montserrat 9 Fassò, Francesco 9 Fedorov, Yuri N. 9 Gonchenko, Alexander S. 9 Gutkin, Eugene 9 Kanso, Eva Adnan 9 Koiller, Jair 9 Miranda, Eva 9 Pérez-Chavela, Ernesto 9 Radnović, Milena 9 Rozikov, Utkir A. 9 Vanhaecke, Pol 8 Berti, Massimiliano 8 Biswas, Anjan 8 Bloch, Anthony Michael 8 Burov, Aleksandr Anatol’evich 8 Damianou, Pantelis Andrea 8 Ferrer, Sebastián 8 Fomenko, Anatoliĭ Timofeevich 8 Jovanović, Božidar Žarko 8 Kaloshin, Vadim Yu. 8 Locatelli, Ugo 8 Mikishanina, Evgeniya Arifzhanovna 8 Montaldi, James A. 8 Nguyen Thieu Huy 8 Ostrovskaya, Irina V. 8 Rybalova, Elena V. 8 Sachkov, Yuriĭ Leonidovich 8 Santoprete, Manuele 8 Sevryuk, Mikhail Borisovich 8 Shilnikov, Andrey L. 8 Stankevich, Nataliya Vladimirovna 8 Valls Anglés, Cláudia 8 Vieiro, Arturo 8 Wang, Xiaocai 8 Zhu, Shuqiang 7 Calleja, Renato C. 7 Celletti, Alessandra 7 Chekina, Evgeniya Alekseevna 7 Chierchia, Luigi 7 Demina, Maria V. 7 Elipe, Antonio ...and 2,634 more Authors all top 5 Cited in 356 Journals 440 Regular and Chaotic Dynamics 93 Physica D 83 Chaos 72 Journal of Mathematical Physics 70 Nelineĭnaya Dinamika 68 Celestial Mechanics and Dynamical Astronomy 66 Journal of Differential Equations 62 Journal of Geometry and Physics 60 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 49 Communications in Nonlinear Science and Numerical Simulation 47 Journal of Nonlinear Science 40 Nonlinearity 38 Communications in Mathematical Physics 37 Theoretical and Mathematical Physics 36 Discrete and Continuous Dynamical Systems 34 Journal of Mathematical Analysis and Applications 32 Applied Mathematics and Computation 29 Physics Letters. 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