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Regular and Chaotic Dynamics

International 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/11819
http://www.turpion.org/php/homes/pa.phtml?jrnid=rd
http://ics.org.ru/journals/rcd/
Predecessor: Regularnaya & Khaoticheskaya Dinamika
Comments: Indexed cover-to-cover
Documents Indexed: 1,098 Publications (since 1998)
References Indexed: 753 Publications with 20,941 References.
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Latest Issues

27, No. 4 (2022)
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...and 25 more Volumes
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Authors

95 Borisov, Alekseĭ Vladimirovich
82 Mamaev, Ivan Sergeevich
41 Kilin, Aleksandr Aleksandrovich
30 Tsyganov, Andreĭ Vladimirovich
28 Kozlov, Valeriĭ Vasil’evich
24 Kudryashov, Nikolaĭ Alekseevich
20 Bizyaev, Ivan Alekseevich
18 Kuznetsov, Sergey P.
17 Wiggins, Stephen
14 Dragović, Vladimir
13 Gonchenko, Sergey V.
12 Bardin, Boris Sabirovich
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 Simó, Carles
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 Vetchanin, Evgeniĭ Vladimirovich
7 Albouy, Alain
7 Bolsinov, Alexey V.
7 Dullin, Holger R.
7 Fassò, Francesco
7 Gajić, Borislav
7 Kharlamov, Mikhail Pavlovich
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 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 Osipov, Grigory V.
6 Ryabov, Pavel Evgen’evich
6 Yehia, Hamad M.
5 Celletti, Alessandra
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 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 Guzzo, Massimiliano
4 Hanßmann, Heinz
4 Holmes, Philip J.
4 Inozemtsev, Vladimir I.
4 Jovanović, Božidar Žarko
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 Reinaud, Jean N.
4 Rudnev, Misha
4 Sachkov, Yuriĭ Leonidovich
4 Sansonetto, Nicola
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.
...and 885 more Authors
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Fields

708 Dynamical systems and ergodic theory (37-XX)
578 Mechanics of particles and systems (70-XX)
189 Ordinary differential equations (34-XX)
132 Fluid mechanics (76-XX)
82 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)
24 Global analysis, analysis on manifolds (58-XX)
24 Quantum theory (81-XX)
23 Mechanics of deformable solids (74-XX)
21 Algebraic geometry (14-XX)
21 Numerical analysis (65-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 Topological groups, Lie groups (22-XX)
11 Geophysics (86-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 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)
5 General topology (54-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 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

Citations contained in zbMATH Open

822 Publications have been cited 5,415 times in 2,813 Documents Cited by Year
Invariant tori in non-degenerate nearly integrable Hamiltonian systems. Zbl 0992.37050
Rüssmann, H.
89
2001
Rolling of a rigid body on a plane and sphere. Hierarchy of dynamics. Zbl 1058.70009
Borisov, A. V.; Mamaev, I. S.
67
2002
Conservation laws, hierarchy of dynamics and explicit integration of nonholonomic systems. Zbl 1229.70038
Borisov, 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 1229.37082
Chaplygin, S. A.
61
2008
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.
58
2002
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.
54
2013
Richness of chaotic dynamics in nonholonomic models of a Celtic stone. Zbl 1417.37222
Gonchenko, Alexander S.; Gonchenko, Sergey V.; Kazakov, Alexey O.
51
2013
How to control Chaplygin’s sphere using rotors. Zbl 1264.37016
Borisov, 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 1058.70003
Chaplygin, S. A.
44
2002
Invariant curves of analytic perturbed nontwist area preserving maps. Zbl 0932.37048
Simó, C.
44
1998
Trajectory equivalence and corresponding integrals. Zbl 0928.37003
Matveev, V. S.; Topalov, P. Ĭ.
38
1998
How to control the Chaplygin ball using rotors. II. Zbl 1303.37021
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S.
37
2013
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.
35
2014
The problem of drift and recurrence for the rolling Chaplygin ball. Zbl 1286.70007
Borisov, 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 1263.74021
Borisov, 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 1006.37040
Kozlov, V. V.
32
2002
Two-body problem on a sphere. Reduction, stochasticity, periodic orbits. Zbl 1065.37058
Borisov, A. V.; Mamaev, I. S.; Kilin, A. A.
31
2004
Hamiltonization of non-holonomic systems in the neighborhood of invariant manifolds. Zbl 1309.37049
Bolsinov, A. V.; Borisov, A. V.; Mamaev, I. S.
31
2011
The Jacobi integral in nonholonomic mechanics. Zbl 1367.70036
Borisov, Alexey V.; Mamaev, Ivan. S.; Bizyaev, Ivan. A.
30
2015
Symmetries and reduction in nonholonomic mechanics. Zbl 1342.37001
Borisov, Alexey V.; Mamaev, Ivan S.
30
2015
The dynamics of Chaplygin ball: the qualitative and computer analysis. Zbl 1074.70513
Kilin, A. A.
29
2001
Chaplygin ball over a fixed sphere: an explicit integration. Zbl 1229.37080
Borisov, A. V.; Fedorov, Yu. N.; Mamaev, I. S.
29
2008
Popular ansatz methods and solitary wave solutions of the Kuramoto-Sivashinsky equation. Zbl 1229.34008
Kudryashov, N. A.; Soukharev, M. B.
29
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.
27
2006
Strange attractors and mixed dynamics in the problem of an unbalanced rubber ball rolling on a plane. Zbl 1417.37223
Kazakov, Alexey O.
27
2013
On a paper of Moeckel on central configurations. Zbl 1061.70006
Albouy, A.
26
2003
Asymptotic stability and associated problems of dynamics of falling rigid body. Zbl 1229.37107
Borisov, A. V.; Kozlov, V. V.; Mamaev, I. S.
26
2007
Quasi-periodic bifurcations of invariant circles in low-dimensional dissipative dynamical systems. Zbl 1225.37087
Vitolo, Renato; Broer, Henk; Simó, Carles
25
2011
On integrability of Hirota-Kimura type discretizations. Zbl 1258.37067
Petrera, Matteo; Pfadler, Andreas; Suris, Yuri B.
25
2011
The dynamics and control of a spherical robot with an internal omniwheel platform. Zbl 1317.93192
Karavaev, Yury L.; Kilin, Alexander A.
25
2015
Bifurcations of Liouville tori in elliptical billiards. Zbl 1229.37065
Dragović, V.; Radnović, M.
25
2009
Rubber rolling over a sphere. Zbl 1229.37089
Koiller, Jair; Ehlers, Kurt
25
2007
Solitary and periodic solutions of the generalized Kuramoto-Sivashinsky equation. Zbl 1229.35229
Kudryashov, N. A.
24
2008
Billiard dynamics: a survey with the emphasis on open problems. Zbl 1023.37022
Gutkin, E.
23
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.
23
2014
The Chaplygin sleigh with parametric excitation: chaotic dynamics and nonholonomic acceleration. Zbl 1398.37056
Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S.
23
2017
Dynamics of rolling disk. Zbl 1112.37320
Borisov, A. V.; Mamaev, I. S.; Kilin, A. A.
22
2003
Hamiltonicity and integrability of the Suslov problem. Zbl 1277.70008
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S.
22
2011
Dynamics and statics of vortices on a plane and a sphere. I. Zbl 0934.76014
Borisov, A. V.; Pavlov, A. E.
22
1998
Spherical robot of combined type: dynamics and control. Zbl 1339.93081
Kilin, Alexander A.; Pivovarova, Elena N.; Ivanova, Tatyana B.
22
2015
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.
22
2009
Higher dimensional continued fractions. Zbl 1044.11596
Arnold, V. I.
21
1998
Nekhoroshev-stability of \(L4\) and \(L5\) in the spatial restricted three-body problem. Zbl 0934.70010
Benettin, G.; Fassò, F.; Guzzo, M.
21
1998
Mock (false) theta functions as quantum invariants. Zbl 1133.57301
Hikami, K.
21
2005
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
21
2016
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.
21
2013
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.
20
2002
KAM à la R. Zbl 1219.37044
Pöschel, Jürgen
20
2011
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.
20
2012
An integrability of the problem on motion of cylinder and vortex in the ideal fluid. Zbl 1112.37315
Borisov, A. V.; Mamaev, I. S.
19
2003
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.
19
2012
Bi-Hamiltonian structures and singularities of integrable systems. Zbl 1229.37092
Bolsinov, A. V.; Oshemkov, A. A.
19
2009
Geometric integration via multi-space. Zbl 1068.65092
Kim, Pilwon; Olver, Peter J.
18
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.
18
2005
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.
18
2003
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.
18
1998
Simultaneous separation for the Neumann and Chaplygin systems. Zbl 1325.37052
Tsiganov, Andrey
18
2015
Stability of Thomson’s configurations of vortices on a sphere. Zbl 0967.76023
Borisov, A. V.; Kilin, A. A.
17
2000
The dynamics of orbits in a potential field of a solid circular ring. Zbl 1128.70308
Broucke, R. A.; Elipe, A.
17
2005
Periodic flows, rank-two Poisson structures, and nonholonomic mechanics. Zbl 1077.37043
Fassò, F.; Giacobbe, A.; Sansonetto, N.
17
2005
On the Hadamard-Hamel problem and the dynamics of wheeled vehicles. Zbl 1367.70034
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S.
17
2015
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.
17
2015
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.
17
2007
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.
16
2018
Asymmetric discrete Painlevé equations. Zbl 0983.34083
Kruskal, M. D.; Tamizhmani, K. M.; Grammaticos, B.; Ramani, A.
16
2000
Two variations on the theme of Lamb–Chaplygin: supersmooth dipole and rotating multipoles. Zbl 1102.76008
Kizner, Ziv; Khvoles, R.
16
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.
16
2016
Higher Painlevé transcendents as special solutions of some nonlinear integrable hierarchies. Zbl 1328.35193
Kudryashov, Nikolay A.
16
2014
Multiparticle systems. The algebra of integrals and integrable cases. Zbl 1229.37106
Borisov, A. V.; Kilin, A. A.; Mamaev, I. S.
16
2009
Rolling of a non-homogeneous ball over a sphere without slipping and twisting. Zbl 1229.37081
Borisov, A. V.; Mamaev, I. S.
16
2007
Exotic dynamics of nonholonomic roller racer with periodic control. Zbl 1412.37064
Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S.
15
2018
Dynamics of heton-like vortices. Zbl 1164.76423
Gryanik, V. M.; Sokolovskiy, M. A.; Verron, J.
15
2006
Lie algebras in vortex dynamics and celestial mechanics. IV. Zbl 1076.76513
Bolsinov, A. V.; Borisov, A. V.; Mamaev, I. S.
15
1999
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
Dynamics of three vortices on a plane and a sphere. II: General compact case. Zbl 0933.76016
Borisov, A. V.; Lebedev, V. G.
15
1998
Bifurcation diagrams of the Kowalevski top in two constant fields. Zbl 1133.70306
Kharlamov, M. P.
15
2005
The type numbers of closed geodesics. Zbl 1229.58015
Taimanov, I. A.
15
2010
Euler configurations and quasi-polynomial systems. Zbl 1229.70032
Albouy, A.; Fu, Y.
15
2007
The Euler-Jacobi-Lie integrability theorem. Zbl 1283.34035
Kozlov, Valery V.
15
2013
On the problem of motion of vortex sources on a plane. Zbl 1164.37353
Borisov, A. V.; Mamaev, I. S.
14
2006
The ringing of Euler’s disk. Zbl 1013.70005
Kessler, P.; O’Reilly, O. M.
14
2002
Plate falling in a fluid: regular and chaotic dynamics of finite-dimensional models. Zbl 1327.34089
Kuznetsov, Sergey P.
14
2015
The dynamics of an articulated \(n\)-trailer vehicle. Zbl 1342.37064
Bravo-Doddoli, Alejandro; García-Naranjo, Luis C.
14
2015
Dynamics and control of an omniwheel vehicle. Zbl 1367.70033
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S.
14
2015
The self-propulsion of a body with moving internal masses in a viscous fluid. Zbl 1329.70052
Vetchanin, 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 1272.70049
Svinin, Mikhail; Morinaga, Akihiro; Yamamoto, Motoji
14
2013
The inertial motion of a roller racer. Zbl 1381.37076
Bizyaev, Ivan A.
14
2017
Paul Painlevé and his contribution to science. Zbl 1333.01025
Borisov, Alexey V.; Kudryashov, Nikolay A.
14
2014
Aspects of the planetary Birkhoff normal form. Zbl 1320.70007
Pinzari, Gabriella
14
2013
On detachment conditions in the problem on the motion of a rigid body on a rough plane. Zbl 1229.70015
Ivanov, A. P.
14
2008
On cascades of elliptic periodic points in two-dimensional symplectic maps with homoclinic tangencies. Zbl 1229.37054
Gonchenko, M. S.; Gonchenko, S. V.
14
2009
A generalization of Chaplygin’s reducibility theorem. Zbl 1229.37087
Fernandez, O. E.; Mestdag, T.; Bloch, A. M.
14
2009
Remarks on the definition of hyperbolic tori of Hamiltonian systems. Zbl 1005.70015
Bolotin, S. V.; Treschev, D. V.
13
2000
Periodic shadowing and \(\Omega \)-stability. Zbl 1203.37039
Osipov, A. V.; Pilyugin, S. Yu.; Tikhomirov, S. B.
13
2010
Rolling of a homogeneous ball over a dynamically asymmetric sphere. Zbl 1309.37080
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S.
13
2011
The dynamics of vortex rings: leapfrogging, choreographies and the stability problem. Zbl 1273.76067
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S.
13
2013
Conservation of energy and momenta in nonholonomic systems with affine constraints. Zbl 1353.70033
Fassò, Francesco; Sansonetto, Nicola
13
2015
Integrable Lotka-Volterra systems. Zbl 1229.37097
Bogoyavlenskij, O. I.
13
2008
Linear Hamiltonian systems: quadratic integrals, singular subspaces and stability. Zbl 1400.37061
Kozlov, Valery V.
13
2018
A predator-prey model with non-monotonic response function. Zbl 1164.37318
Broer, H. W.; Naudot, V.; Roussarie, R.; Saleh, K.
12
2006
A top on a vibrating base: new integrable problem of nonholonomic mechanics. Zbl 07507452
Borisov, Alexey V.; Ivanov, Alexander P.
1
2022
Isochronicity in 1 DOF. Zbl 1484.34099
Treschev, Dmitry V.
1
2022
Soliton solutions of high-order nonlinear Schrödinger equations with different laws of nonlinearities. Zbl 1473.35506
Hosseini, Kamyar; Matinfar, Mashaallah; Mirzazadeh, Mohammad
6
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
2
2021
Compactness and index of ordinary central configurations for the curved \(n\)-body problem. Zbl 1491.70013
Zhu, Shuqiang
2
2021
Classification of perturbations of Diophantine \(\mathbb{Z}^m\) actions on tori of arbitrary dimension. Zbl 1490.37085
Petković, Boris
1
2021
Existence of a smooth Hamiltonian circle action near parabolic orbits and cuspidal tori. Zbl 1490.37080
Kudryavtseva, Elena A.; Martynchuk, Nikolay N.
1
2021
Uncertainty quantification of stochastic epidemic SIR models using B-spline polynomial chaos. Zbl 1471.92320
Kaur, Navjot; Goyal, Kavita
1
2021
Parametric stability of a charged pendulum with an oscillating suspension point. Zbl 07411797
Cruz Araujo, Gerson; Cabral, Hildeberto E.
1
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
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
Ring configurations of point vortices in polar atmospheres. Zbl 1490.76056
Dritschel, David G.
1
2021
Three-dimensional quasi-geostrophic staggered vortex arrays. Zbl 1479.76042
Reinaud, Jean N.
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
11
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.
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.
4
2020
Kovalevskaya exponents, weak Painlevé property and integrability for quasi-homogeneous differential systems. Zbl 1470.34004
Huang, Kaiyin; Shi, Shaoyun; Li, Wenlei
4
2020
Highly dispersive optical solitons of an equation with arbitrary refractive index. Zbl 1471.35251
Kudryashov, Nikolay A.
3
2020
Dynamics of the tippe top on a vibrating base. Zbl 1475.70007
Borisov, Alexey V.; Ivanov, Alexander P.
3
2020
Revisiting the human and nature dynamics model. Zbl 1440.37083
Grammaticos, Basil; Willox, Ralph; Satsuma, Junkichi
3
2020
Dynamics of rubber Chaplygin sphere under periodic control. Zbl 1437.37082
Mamaev, Ivan S.; Vetchanin, Evgeny V.
3
2020
Periodic controls in step 2 strictly convex sub-Finsler problems. Zbl 1473.49026
Sachkov, Yuri L.
3
2020
Lax pairs and special polynomials associated with self-similar reductions of Sawada – Kotera and Kupershmidt equations. Zbl 1441.34096
Kudryashov, Nikolay A.
3
2020
Confinement strategies in a simple SIR model. Zbl 1471.92337
Nakamura, Gilberto; Grammaticos, Basil; Badoual, Mathilde
2
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
2
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
2
2020
Nondegenerate Hamiltonian Hopf bifurcations in \(\omega:3:6\) resonance \((\omega=1\) or \(2)\). Zbl 1475.70019
Mazrooei-Sebdani, Reza; Hakimi, Elham
1
2020
The tippedisk: a tippetop without rotational symmetry. Zbl 1475.70006
Sailer, Simon; Eugster, Simon R.; Leine, Remco I.
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
Persistence of hyperbolic-type degenerate lower-dimensional invariant tori with prescribed frequencies in Hamiltonian systems. Zbl 1481.37067
Xu, Junxiang; You, Jiangong
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
Parametric stability of a pendulum with variable length in an elliptic orbit. Zbl 1465.70049
de Menezes Neto, José Laudelino; Cabral, Hildeberto E.
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
The method of averaging for the Kapitza-Whitney pendulum. Zbl 1466.70020
Polekhin, Ivan Yu.
1
2020
Chaos in Bohmian quantum mechanics: a short review. Zbl 1458.81024
Contopoulos, George; Tzemos, Athanasios C.
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
Caustics of Poncelet polygons and classical extremal polynomials. Zbl 1432.37055
Dragović, Vladimir; Radnović, Milena
7
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
6
2019
Sub-Finsler geodesics on the Cartan group. Zbl 1412.49084
Ardentov, Andrei A.; Le Donne, Enrico; Sachkov, Yuri L.
6
2019
Rational and special solutions for some Painlevé hierarchies. Zbl 1415.34132
Kudryashov, Nikolay A.
5
2019
Hamiltonization and separation of variables for a Chaplygin ball on a rotating plane. Zbl 1433.37065
Tsiganov, Andrey V.
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
4
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.
4
2019
The dynamics of a Chaplygin sleigh with an elastic internal rotor. Zbl 1412.37066
Fedonyuk, Vitaliy; Tallapragada, Phanindra
4
2019
The Kepler problem: polynomial algebra of nonpolynomial first integrals. Zbl 1459.70041
Tsiganov, Andrey V.
3
2019
V. I. Arnold’s “Pointwise” KAM theorem. Zbl 1435.37085
Chierchia, L.; Koudjinan, C. E.
3
2019
Periodic billiards within conics in the Minkowski plane and Akhiezer polynomials. Zbl 1436.37036
Adabrah, Anani Komla; Dragović, Vladimir; Radnović, Milena
3
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.
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
Stability of periodic solutions of the \(N\)-vortex problem in general domains. Zbl 1436.37065
Gebhard, Björn; Ortega, Rafael
2
2019
Jumps of energy near a homoclinic set of a slowly time dependent Hamiltonian system. Zbl 1435.37084
Bolotin, Sergey V.
2
2019
On the Chaplygin sphere in a magnetic field. Zbl 1435.37093
Borisov, Alexey V.; Tsiganov, Andrey V.
2
2019
On the motions of one near-autonomous Hamiltonian system at a 1:1:1 resonance. Zbl 1428.70037
Kholostova, Olga V.
2
2019
Evolution of Lagrangian manifolds and asymptotic solutions to the linearized equations of gas dynamics. Zbl 1412.35060
Allilueva, Anna I.; Shafarevich, Andrei I.
2
2019
Integrability and chaos in vortex lattice dynamics. Zbl 1458.76021
Kilin, Alexander A.; Artemova, Elizaveta M.
2
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.
2
2019
Singular reduction of the 2-body problem on the 3-sphere and the 4-dimensional spinning top. Zbl 1458.70005
Arathoon, Philip
1
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.
1
2019
Twisted states in a system of nonlinearly coupled phase oscillators. Zbl 1442.45003
Bolotov, Dmitry; Bolotov, Maxim; Smirnov, Lev; Osipov, Grigory; Pikovsky, Arkady
1
2019
Topaj-Pikovsky involution in the Hamiltonian lattice of locally coupled oscillators. Zbl 1435.37099
Kruglov, Vyacheslav P.; Kuznetsov, Sergey P.
1
2019
Integrability of the \(n\)-dimensional axially symmetric Chaplygin sphere. Zbl 1437.37081
García-Naranjo, Luis C.
1
2019
Nonholonomic Noetherian symmetries and integrals of the Routh sphere and the Chaplygin ball. Zbl 1437.37079
Bustamante, Miguel D.; Lynch, Peter
1
2019
A note about integrable systems on low-dimensional Lie groups and Lie algebras. Zbl 1435.37082
Bolsinov, Alexey; Bao, Jinrong
1
2019
Combinatorial Ricci flow for degenerate circle packing metrics. Zbl 1431.52031
Pepa, Ruslan Yu.; Popelensky, Theodore Yu.
1
2019
Vortex pairs on the triaxial ellipsoid: axis equilibria stability. Zbl 1457.76078
Koiller, Jair; Castilho, César; Rodrigues, Adriano Regis
1
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 1430.37060
Bardin, Boris S.; Chekina, Evgeniya A.
1
2019
On the volume elements of a manifold with transverse zeroes. Zbl 1435.53059
Cardona, Robert; Miranda, Eva
1
2019
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.
16
2018
Exotic dynamics of nonholonomic roller racer with periodic control. Zbl 1412.37064
Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S.
15
2018
Linear Hamiltonian systems: quadratic integrals, singular subspaces and stability. Zbl 1400.37061
Kozlov, Valery V.
13
2018
Chaos and hyperchaos in coupled antiphase driven Toda oscillators. Zbl 1398.37031
Stankevich, Nataliya V.; Dvorak, Anton; Astakhov, Vladimir; Jaros, Patrycja; Kapitaniak, Marcin; Perlikowski, Przemysław; Kapitaniak, Tomasz
11
2018
Dynamics-based motion planning for a pendulum-actuated spherical rolling robot. Zbl 1411.70021
Bai, Yang; Svinin, Mikhail; Yamamoto, Motoji
9
2018
Self-propulsion of a smooth body in a viscous fluid under periodic oscillations of a rotor and circulation. Zbl 1412.37076
Borisov, Alexey V.; Mamaev, Ivan S.; Vetchanin, Evgeny V.
8
2018
Asymptotic and exact solutions of the Fitzhugh-Nagumo model. Zbl 1401.34004
Kudryashov, Nikolay A.
8
2018
Exact solutions and integrability of the Duffing-van der Pol equation. Zbl 1425.34105
Kudryashov, Nikolay A.
7
2018
Dynamics of a smooth profile in a medium with friction in the presence of parametric excitation. Zbl 1411.70027
Borisov, Alexey V.; Mamaev, Ivan S.; Vetchanin, Eugeny V.
7
2018
Comparing dynamics initiated by an attached oscillating particle for the nonholonomic model of a Chaplygin sleigh and for a model with strong transverse and weak longitudinal viscous friction applied at a fixed point on the body. Zbl 1412.37065
Borisov, Alexey V.; Kuznetsov, Sergey P.
7
2018
Regular and chaotic dynamics of a Chaplygin sleigh due to periodic switch of the nonholonomic constraint. Zbl 1400.37076
Kuznetsov, Sergey P.
7
2018
Finite-time collapse of three point vortices in the plane. Zbl 1411.70011
Krishnamurthy, Vikas S.; Stremler, Mark A.
5
2018
The self-propulsion of a foil with a sharp edge in a viscous fluid under the action of a periodically oscillating rotor. Zbl 1412.37077
Mamaev, Ivan S.; Vetchanin, Evgeny V.
5
2018
Lyapunov analysis of strange pseudohyperbolic attractors: angles between tangent subspaces, local volume expansion and contraction. Zbl 1412.37045
Kuptsov, Pavel V.; Kuznetsov, Sergey P.
5
2018
Persistence properties of normally hyperbolic Tori. Zbl 1400.37067
Broer, Henk; Hanßmann, Heinz; Wagener, Florian
5
2018
Equivariant classification of \(b^m\)-symplectic surfaces. Zbl 1412.53109
Miranda, Eva; Planas, Arnau
4
2018
Generalized contour dynamics: a review. Zbl 1411.76018
Llewellyn Smith, Stefan G.; Chang, Ching; Chu, Tianyi; Blyth, Mark; Hattori, Yuji; Salman, Hayder
4
2018
The application of Lagrangian descriptors to 3D vector fields. Zbl 1412.37057
García-Garrido, Víctor J.; Curbelo, Jezabel; Mancho, Ana M.; Wiggins, Stephen; Mechoso, Carlos R.
4
2018
Choreographies in the \(n\)-vortex problem. Zbl 1415.37077
Calleja, Renato C.; Doedel, Eusebius J.; García-Azpeitia, Carlos
4
2018
Global bifurcations in generic one-parameter families on \(\mathbb{S}^2\). Zbl 1414.34025
Starichkova, Valeriia
4
2018
Stability and noise-induced transitions in an ensemble of nonlocally coupled chaotic maps. Zbl 1408.39013
Bukh, Andrei V.; Slepnev, Andrei V.; Anishchenko, Vadim S.; Vadivasova, Tatiana E.
4
2018
A nonholonomic model of the Paul trap. Zbl 1400.37075
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S.
4
2018
Dipole and multipole flows with point vortices and vortex sheets. Zbl 1411.76019
O’Neil, Kevin A.
3
2018
Three vortices in spaces of constant curvature: reduction, Poisson geometry, and stability. Zbl 1411.76116
Borisov, Alexey V.; Mamaev, Ivan S.; Bizyaev, Ivan A.
3
2018
Detection of phase space structures of the cat map with Lagrangian descriptors. Zbl 1412.37062
García-Garrido, Víctor J.; Balibrea-Iniesta, Francisco; Wiggins, Stephen; Mancho, Ana M.; Lopesino, Carlos
3
2018
Integrable nonsmooth nonholonomic dynamics of a rubber wheel with sharp edges. Zbl 1429.70002
Kilin, Alexander A.; Pivovarova, Elena N.
3
2018
Local rigidity of Diophantine translations in higher-dimensional tori. Zbl 1398.37054
Karaliolios, Nikolaos
3
2018
Nonlinear dynamics of a bubble contrast agent oscillating near an elastic wall. Zbl 1400.37106
Garashchuk, Ivan R.; Sinelshchikov, Dmitry I.; Kudryashov, Nikolay A.
3
2018
Normalization through invariants in \(n\)-dimensional Kepler problems. Zbl 1474.37067
Meyer, Kenneth R.; Palacián, Jesús F.; Yanguas, Patricia
2
2018
...and 722 more Documents
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Cited by 2,827 Authors

109 Borisov, Alekseĭ Vladimirovich
99 Mamaev, Ivan Sergeevich
63 Kudryashov, Nikolaĭ Alekseevich
59 Tsyganov, Andreĭ Vladimirovich
48 Kilin, Aleksandr Aleksandrovich
34 Bizyaev, Ivan Alekseevich
30 Xu, Junxiang
29 Wiggins, Stephen
28 Kozlov, Valeriĭ Vasil’evich
26 Vidal, Claudio
25 Gonchenko, Sergey V.
25 Przybylska, Maria
23 Llibre, Jaume
22 Kuznetsov, Sergey P.
22 Matveev, Vladimir S.
22 Simó, Carles
22 Zhang, Dongfeng
21 Turaev, Dmitry V.
20 Dragović, Vladimir
19 Broer, Henk W.
19 García-Naranjo, Luis C.
19 Kazakov, Alexey O.
19 Maciejewski, Andrzej J.
19 Vetchanin, Evgeniĭ Vladimirovich
17 Bolsinov, Alexey V.
17 Sinelshchikov, Dmitry I.
16 Bardin, Boris Sabirovich
16 Dullin, Holger R.
16 Ryabov, Pavel Evgen’evich
15 Bounemoura, Abed Bounemoura
15 Gonchenko, Marina S.
15 Grammaticos, Basil
15 Kurakin, Leonid Gennadievich
14 Delshams, Amadeu
14 Guzzo, Massimiliano
14 Meiss, James D.
14 Mireles-James, Jason D.
13 Palacián, Jesús F.
13 Yanguas, Patricia
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 de la Llave, Rafael
11 Fassò, Francesco
11 Karavaev, Yurĭ Leonidovich
11 Petrera, Matteo
11 Pinzari, Gabriella
11 Sataev, Igor’ Rustamovich
11 Suris, Yuri Borisovich
10 Newton, Paul K.
10 Pérez-Chavela, Ernesto
10 Sansottera, Marco
9 Balseiro, Paula
9 Biswas, Anjan
9 Bolotin, Sergeĭ Vladimirovich
9 Corbera, Montserrat
9 Fedorov, Yuri N.
9 Gonchenko, Alexander S.
9 Gutkin, Eugene
9 Jovanović, Božidar Žarko
9 Kanso, Eva Adnan
9 Koiller, Jair
9 Miranda, Eva
9 Radnović, Milena
9 Rozikov, Utkir A.
9 Sansonetto, Nicola
9 Vanhaecke, Pol
9 Vieiro, Arturo
9 Zhu, Shuqiang
8 Berti, Massimiliano
8 Bloch, Anthony Michael
8 Burov, Aleksandr Anatol’evich
8 Damianou, Pantelis Andrea
8 Ferrer, Sebastián
8 Fomenko, Anatoliĭ Timofeevich
8 Kaloshin, Vadim Yu.
8 Kharlamov, Mikhail Pavlovich
8 Locatelli, Ugo
8 Mikishanina, Evgeniya Arifzhanovna
8 Montaldi, James A.
8 Nguyen Thieu Huy
8 Ostrovskaya, Irina V.
8 Reinaud, Jean N.
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 Wang, Xiaocai
8 Zhao, Lei
7 Calleja, Renato C.
7 Celletti, Alessandra
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Cited in 366 Journals

448 Regular and Chaotic Dynamics
97 Physica D
83 Chaos
72 Journal of Mathematical Physics
69 Celestial Mechanics and Dynamical Astronomy
67 Journal of Differential Equations
63 Journal of Geometry and Physics
61 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
61 Russian Journal of Nonlinear Dynamics
50 Journal of Nonlinear Science
50 Communications in Nonlinear Science and Numerical Simulation
40 Communications in Mathematical Physics
40 Nonlinearity
39 Discrete and Continuous Dynamical Systems
37 Theoretical and Mathematical Physics
34 Journal of Mathematical Analysis and Applications
34 Chaos, Solitons and Fractals
32 Applied Mathematics and Computation
30 Physics Letters. A
29 Journal of Mathematical Sciences (New York)
28 Journal of Fluid Mechanics
28 Journal of Geometric Mechanics
27 Journal of Applied Mathematics and Mechanics
27 Journal of Dynamics and Differential Equations
27 Doklady Mathematics
26 Archive for Rational Mechanics and Analysis
26 Russian Journal of Mathematical Physics
24 Nonlinear Dynamics
24 SIAM Journal on Applied Dynamical Systems
23 Proceedings of the Steklov Institute of Mathematics
21 Qualitative Theory of Dynamical Systems
19 Mathematical Notes
19 Ergodic Theory and Dynamical Systems
19 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
18 Proceedings of the American Mathematical Society
17 Journal of Nonlinear Mathematical Physics
16 Moscow University Mathematics Bulletin
15 Letters in Mathematical Physics
14 Transactions of the American Mathematical Society
13 Advances in Mathematics
13 Journal of Dynamical and Control Systems
12 Acta Applicandae Mathematicae
12 Journal of Physics A: Mathematical and Theoretical
11 Reports on Mathematical Physics
11 Theoretical and Computational Fluid Dynamics
11 Sbornik: Mathematics
11 Lobachevskii Journal of Mathematics
11 Discrete and Continuous Dynamical Systems. Series B
11 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
11 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
10 Journal of Statistical Physics
10 Indagationes Mathematicae. New Series
10 Physics of Fluids
10 Theoretical and Applied Mechanics
10 Journal of Computational Dynamics
9 Acta Mechanica
9 Annales de l’Institut Fourier
9 Applied Mathematics Letters
9 Journal of Difference Equations and Applications
9 Multibody System Dynamics
9 Nelineĭnaya Dinamika
8 Russian Mathematical Surveys
8 Geometriae Dedicata
8 Mathematical Physics, Analysis and Geometry
8 International Journal of Geometric Methods in Modern Physics
8 Discrete and Continuous Dynamical Systems. Series S
8 Arnold Mathematical Journal
7 Inventiones Mathematicae
7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
7 Siberian Mathematical Journal
7 Differential Geometry and its Applications
7 Computational Mathematics and Mathematical Physics
7 European Journal of Control
7 Dynamical Systems
7 Analysis and Mathematical Physics
7 Journal of Theoretical Biology
7 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki
7 Mechanics of Solids
6 Journal of Computational and Applied Mathematics
6 Applied Mathematical Modelling
6 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
6 Annales Henri Poincaré
6 Differential Equations
5 Journal of Computational Physics
5 Prikladnaya Matematika i Mekhanika
5 Automatica
5 Mathematics and Computers in Simulation
5 Mathematische Zeitschrift
5 Advances in Applied Mathematics
5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
5 Acta Mathematica Sinica. English Series
5 Journal of High Energy Physics
5 Nonlinear Analysis. Real World Applications
5 Foundations of Computational Mathematics
5 Communications on Pure and Applied Analysis
5 Journal of Fixed Point Theory and Applications
5 Journal of Topology and Analysis
5 Advances in Mathematical Physics
5 International Journal of Applied and Computational Mathematics
4 General Relativity and Gravitation
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Cited in 59 Fields

1,541 Dynamical systems and ergodic theory (37-XX)
1,201 Mechanics of particles and systems (70-XX)
483 Ordinary differential equations (34-XX)
269 Fluid mechanics (76-XX)
264 Differential geometry (53-XX)
242 Partial differential equations (35-XX)
105 Numerical analysis (65-XX)
94 Quantum theory (81-XX)
89 Biology and other natural sciences (92-XX)
84 Systems theory; control (93-XX)
82 Global analysis, analysis on manifolds (58-XX)
69 Difference and functional equations (39-XX)
67 Algebraic geometry (14-XX)
59 Statistical mechanics, structure of matter (82-XX)
51 Mechanics of deformable solids (74-XX)
49 Nonassociative rings and algebras (17-XX)
48 Number theory (11-XX)
47 Calculus of variations and optimal control; optimization (49-XX)
44 Special functions (33-XX)
36 Operator theory (47-XX)
36 Computer science (68-XX)
31 Optics, electromagnetic theory (78-XX)
30 Topological groups, Lie groups (22-XX)
21 Measure and integration (28-XX)
21 Geophysics (86-XX)
20 Manifolds and cell complexes (57-XX)
20 Probability theory and stochastic processes (60-XX)
19 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
18 Functions of a complex variable (30-XX)
18 Astronomy and astrophysics (85-XX)
17 Relativity and gravitational theory (83-XX)
16 Several complex variables and analytic spaces (32-XX)
15 Combinatorics (05-XX)
15 Real functions (26-XX)
15 Information and communication theory, circuits (94-XX)
14 General topology (54-XX)
13 Approximations and expansions (41-XX)
12 History and biography (01-XX)
12 Linear and multilinear algebra; matrix theory (15-XX)
12 Convex and discrete geometry (52-XX)
9 Field theory and polynomials (12-XX)
9 Classical thermodynamics, heat transfer (80-XX)
8 Commutative algebra (13-XX)
8 Group theory and generalizations (20-XX)
8 Functional analysis (46-XX)
8 Operations research, mathematical programming (90-XX)
6 Geometry (51-XX)
5 General and overarching topics; collections (00-XX)
5 Statistics (62-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Algebraic topology (55-XX)
2 Associative rings and algebras (16-XX)
2 Category theory; homological algebra (18-XX)
2 Potential theory (31-XX)
2 Integral equations (45-XX)
1 Mathematical logic and foundations (03-XX)
1 Sequences, series, summability (40-XX)
1 Integral transforms, operational calculus (44-XX)
1 Mathematics education (97-XX)

Citations by Year