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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: https://link.springer.com/journal/11819/volumes-and-issues
http://rcd.ics.org.ru
Predecessor: Regularnaya & Khaoticheskaya Dinamika
Comments: Journal; Indexed cover-to-cover
Documents Indexed: 1,155 Publications (since 1998)
References Indexed: 808 Publications with 22,507 References.
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Latest Issues

28, No. 4-5 (2023)
28, No. 3 (2023)
28, No. 2 (2023)
28, No. 1 (2023)
27, No. 6 (2022)
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14, No. 6 (2009)
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12, No. 1 (2007)
11, No. 4 (2006)
11, No. 3 (2006)
11, No. 2 (2006)
...and 31 more Volumes
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Authors

95 Borisov, Alekseĭ Vladimirovich
84 Mamaev, Ivan Sergeevich
43 Kilin, Aleksandr Aleksandrovich
30 Tsyganov, Andreĭ Vladimirovich
29 Kozlov, Valeriĭ Vasil’evich
25 Kudryashov, Nikolaĭ Alekseevich
22 Bizyaev, Ivan Alekseevich
18 Kuznetsov, Sergey P.
17 Dragović, Vladimir
17 Wiggins, Stephen R.
16 Gonchenko, Sergey V.
13 Markeev, Anatoliĭ Pavlovich
12 Bardin, Boris Sabirovich
11 Ivanov, Aleksandr Pavlovich
11 Morozov, Al’bert Dmitrievich
11 Przybylska, Maria
11 Treshchev, Dmitriĭ Valer’evich
10 Bolotin, Sergeĭ Vladimirovich
10 Grammaticos, Basil
10 Neĭshtadt, Anatoliĭ Iserovich
10 Simó, Carles
10 Turaev, Dmitry V.
9 Pivovarova, Elena Nikolaevna
9 Vidal, Claudio
8 Albouy, Alain
8 Carton, Xavier J.
8 Gajić, Borislav
8 Ivanov, Alexey V.
8 Kazakov, Alexey O.
8 Sevryuk, Mikhail Borisovich
8 Vetchanin, Evgeniĭ Vladimirovich
7 Bolsinov, Alexey V.
7 Cushman, Richard H.
7 Dullin, Holger R.
7 Fassò, Francesco
7 Grines, Vyacheslav Zigmundovich
7 Kharlamov, Mikhail Pavlovich
7 Kurakin, Leonid Gennadievich
7 Lerman, Lev
7 Maciejewski, Andrzej J.
7 O’Neil, Kevin Anthony
7 Pochinka, Ol’ga Vital’evna
7 Ramani, Alfred
7 Rauch-Wojciechowski, Stefan
7 Sokolovskiy, Mikhail A.
6 Anishchenko, Vadim Semenovich
6 Broer, Henk W.
6 Cabral, Hildeberto Eulalio
6 Chaplygin, Sergeĭ Alekseevich
6 Chenciner, Alain
6 Chierchia, Luigi
6 Damianou, Pantelis Andrea
6 Osipov, Grigory V.
6 Radnović, Milena
6 Ryabov, Pavel Evgen’evich
6 Yehia, Hamad M.
5 Bounemoura, Abed Bounemoura
5 Celletti, Alessandra
5 Demina, Maria V.
5 Fedorov, Yuri N.
5 Karavaev, Yurĭ Leonidovich
5 Koiller, Jair
5 Miranda, Eva
5 Sataev, Igor’ Rustamovich
5 Shafarevich, Andreĭ Igorevich
5 Stremler, Mark A.
4 Artemova, Elizaveta Markovna
4 Biswas, Anjan
4 Bogoyavlenskij, Oleg Igorevich
4 Burov, Aleksandr Anatol’evich
4 Chekina, Evgeniya Alekseevna
4 Delshams, Amadeu
4 Dritschel, David Gerard
4 Elipe, Antonio
4 Féjoz, Jacques
4 Gal’perin, G. A.
4 García-Naranjo, Luis C.
4 Gelfreich, Vassili
4 Gonchenko, Marina S.
4 Guha, Partha
4 Guzzo, Massimiliano
4 Hanßmann, Heinz
4 Holmes, Philip J.
4 Inozemtsev, Vladimir I.
4 Jovanović, Božidar Žarko
4 Lanchares, Víctor
4 Meiss, James D.
4 Meyer, Kenneth R.
4 Negrini, Piero
4 Novokshenov, Viktor Yur’evich
4 Ostrovskaya, Irina V.
4 Ovsyannikov, Ivan I.
4 Polekhin, Ivan Yu.
4 Ramodanov, Sergey M.
4 Reinaud, Jean N.
4 Rudnev, Misha
4 Sachkov, Yuriĭ Leonidovich
4 Sansonetto, Nicola
4 Shilnikov, Andrey L.
4 Sinaĭ, Yakov Grigor’evich
...and 944 more Authors
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Fields

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

Publications by Year

Citations contained in zbMATH Open

892 Publications have been cited 6,465 times in 3,366 Documents Cited by Year
Invariant tori in non-degenerate nearly integrable Hamiltonian systems. Zbl 0992.37050
Rüssmann, H.
107
2001
Rolling of a rigid body on a plane and sphere. Hierarchy of dynamics. Zbl 1058.70009
Borisov, A. V.; Mamaev, I. S.
75
2002
Conservation laws, hierarchy of dynamics and explicit integration of nonholonomic systems. Zbl 1229.70038
Borisov, A. V.; Mamaev, I. S.
71
2008
On the theory of motion of nonholonomic systems. The reducing-multiplier theorem. Translated from the Russian 1911 original. Zbl 1229.37082
Chaplygin, S. A.
68
2008
The hierarchy of dynamics of a rigid body rolling without slipping and spinning on a plane and a sphere. Zbl 1367.70007
Borisov, Alexey V.; Mamaev, Ivan S.; Bizyaev, Ivan A.
64
2013
Rolling of a ball on a surface. New integrals and hierarchy of dynamics. Zbl 1058.70010
Borisov, A. V.; Mamaev, I. S.; Kilin, A. A.
61
2002
How to control Chaplygin’s sphere using rotors. Zbl 1264.37016
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S.
55
2012
Richness of chaotic dynamics in nonholonomic models of a Celtic stone. Zbl 1417.37222
Gonchenko, Alexander S.; Gonchenko, Sergey V.; Kazakov, Alexey O.
54
2013
On a ball’s rolling on a horizontal plane. Translated from the Russian 1903 original. Zbl 1058.70003
Chaplygin, S. A.
51
2002
Invariant curves of analytic perturbed nontwist area preserving maps. Zbl 0932.37048
Simó, C.
48
1998
Trajectory equivalence and corresponding integrals. Zbl 0928.37003
Matveev, V. S.; Topalov, P. Ĭ.
43
1998
How to control the Chaplygin ball using rotors. II. Zbl 1303.37021
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S.
42
2013
The problem of drift and recurrence for the rolling Chaplygin ball. Zbl 1286.70007
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S.
40
2013
On the integration theory of equations of nonholonomic mechanics. Zbl 1006.37040
Kozlov, V. V.
38
2002
The reversal and chaotic attractor in the nonholonomic model of Chaplygin’s top. Zbl 1358.70006
Borisov, Alexey V.; Kazakov, Alexey O.; Sataev, Igor R.
37
2014
Hamiltonization of non-holonomic systems in the neighborhood of invariant manifolds. Zbl 1309.37049
Bolsinov, A. V.; Borisov, A. V.; Mamaev, I. S.
37
2011
Two-body problem on a sphere. Reduction, stochasticity, periodic orbits. Zbl 1065.37058
Borisov, A. V.; Mamaev, I. S.; Kilin, A. A.
36
2004
Symmetries and reduction in nonholonomic mechanics. Zbl 1342.37001
Borisov, Alexey V.; Mamaev, Ivan S.
36
2015
Dynamical phenomena occurring due to phase volume compression in nonholonomic model of the rattleback. Zbl 1263.74021
Borisov, Alexey V.; Jalnine, Alexey Yu.; Kuznetsov, Sergey P.; Sataev, Igor R.; Sedova, Julia V.
35
2012
The dynamics of Chaplygin ball: the qualitative and computer analysis. Zbl 1074.70513
Kilin, A. A.
34
2001
Chaplygin ball over a fixed sphere: an explicit integration. Zbl 1229.37080
Borisov, A. V.; Fedorov, Yu. N.; Mamaev, I. S.
33
2008
On integrability of Hirota-Kimura type discretizations. Zbl 1258.37067
Petrera, Matteo; Pfadler, Andreas; Suris, Yuri B.
33
2011
Quasi-periodic bifurcations of invariant circles in low-dimensional dissipative dynamical systems. Zbl 1225.37087
Vitolo, Renato; Broer, Henk; Simó, Carles
32
2011
The dynamics and control of a spherical robot with an internal omniwheel platform. Zbl 1317.93192
Karavaev, Yury L.; Kilin, Alexander A.
32
2015
Bifurcations of Liouville tori in elliptical billiards. Zbl 1229.37065
Dragović, V.; Radnović, M.
31
2009
Chaotic dynamics of three-dimensional Hénon maps that originate from a homoclinic bifurcation. Zbl 1164.37306
Gonchenko, S. V.; Meiss, J. D.; Ovsyannikov, I. I.
31
2006
The Jacobi integral in nonholonomic mechanics. Zbl 1367.70036
Borisov, Alexey V.; Mamaev, Ivan. S.; Bizyaev, Ivan. A.
31
2015
Popular ansatz methods and solitary wave solutions of the Kuramoto-Sivashinsky equation. Zbl 1229.34008
Kudryashov, N. A.; Soukharev, M. B.
30
2009
On a paper of Moeckel on central configurations. Zbl 1061.70006
Albouy, A.
29
2003
Mock (false) theta functions as quantum invariants. Zbl 1133.57301
Hikami, K.
28
2005
Hamiltonicity and integrability of the Suslov problem. Zbl 1277.70008
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S.
28
2011
Rubber rolling over a sphere. Zbl 1229.37089
Koiller, Jair; Ehlers, Kurt
28
2007
Asymptotic stability and associated problems of dynamics of falling rigid body. Zbl 1229.37107
Borisov, A. V.; Kozlov, V. V.; Mamaev, I. S.
28
2007
Spherical robot of combined type: dynamics and control. Zbl 1339.93081
Kilin, Alexander A.; Pivovarova, Elena N.; Ivanova, Tatyana B.
28
2015
Strange attractors and mixed dynamics in the problem of an unbalanced rubber ball rolling on a plane. Zbl 1417.37223
Kazakov, Alexey O.
28
2013
The Chaplygin sleigh with parametric excitation: chaotic dynamics and nonholonomic acceleration. Zbl 1398.37056
Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S.
28
2017
Billiard dynamics: a survey with the emphasis on open problems. Zbl 1023.37022
Gutkin, E.
27
2003
Dynamics of rolling disk. Zbl 1112.37320
Borisov, A. V.; Mamaev, I. S.; Kilin, A. A.
26
2003
The dynamics of nonholonomic systems consisting of a spherical shell with a moving rigid body inside. Zbl 1308.70003
Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S.
26
2014
Solitary and periodic solutions of the generalized Kuramoto-Sivashinsky equation. Zbl 1229.35229
Kudryashov, N. A.
25
2008
Higher dimensional continued fractions. Zbl 1044.11596
Arnold, V. I.
24
1998
KAM à la R. Zbl 1219.37044
Pöschel, Jürgen
23
2011
On global bifurcations in three-dimensional diffeomorphisms leading to wild Lorenz-like attractors. Zbl 1229.37041
Gonchenko, S. V.; Shilnikov, L. P.; Turaev, D. V.
23
2009
Dynamics and statics of vortices on a plane and a sphere. I. Zbl 0934.76014
Borisov, A. V.; Pavlov, A. E.
23
1998
On a motion of a heavy body of revolution on a horizontal plane. Translated from the Russian 1897 original. Zbl 1058.70002
Chaplygin, S. A.
23
2002
The role of normally hyperbolic invariant manifolds (NHIMS) in the context of the phase space setting for chemical reaction dynamics. Zbl 1369.34068
Wiggins, Stephen
23
2016
Simultaneous separation for the Neumann and Chaplygin systems. Zbl 1325.37052
Tsiganov, Andrey
23
2015
Rolling of a ball without spinning on a plane: the absence of an invariant measure in a system with a complete set of integrals. Zbl 1267.37066
Bolsinov, Alexey V.; Borisov, Alexey V.; Mamaev, Ivan S.
23
2012
Nekhoroshev-stability of \(L4\) and \(L5\) in the spatial restricted three-body problem. Zbl 0934.70010
Benettin, G.; Fassò, F.; Guzzo, M.
22
1998
Total collison, completely parabolic motions and homothety reduction in the \(n\)-body problem. (Collisions totales, mouvements complètement paraboliques et réduction des homothéties dans le problème des \(n\) corps.) Zbl 0973.70011
Chenciner, A.
22
1998
Bi-Hamiltonian structures and singularities of integrable systems. Zbl 1229.37092
Bolsinov, A. V.; Oshemkov, A. A.
22
2009
On the Hadamard-Hamel problem and the dynamics of wheeled vehicles. Zbl 1367.70034
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S.
22
2015
Topological analysis of an integrable system related to the rolling of a ball on a sphere. Zbl 1334.37059
Borisov, Alexey V.; Mamaev, Ivan S.
22
2013
Rolling of a non-homogeneous ball over a sphere without slipping and twisting. Zbl 1229.37081
Borisov, A. V.; Mamaev, I. S.
21
2007
Bifurcations of three-dimensional diffeomorphisms with non-simple quadratic homoclinic tangencies and generalized Hénon maps. Zbl 1229.37040
Gonchenko, S. V.; Gonchenko, V. S.; Tatjer, J. C.
21
2007
An integrability of the problem on motion of cylinder and vortex in the ideal fluid. Zbl 1112.37315
Borisov, A. V.; Mamaev, I. S.
21
2003
Motion of a circular cylinder and \(n\) point vortices in a perfect fluid. Zbl 1051.76009
Borisov, A. V.; Mamaev, I. S.; Ramodanov, S. M.
21
2003
Geometric integration via multi-space. Zbl 1068.65092
Kim, Pilwon; Olver, Peter J.
21
2004
Poisson brackets for the dynamically interacting system of a 2D rigid cylinder and \(N\) point vortices: the case of arbitrary smooth cylinder shapes. Zbl 1128.76315
Shashikanth, B. N.
20
2005
Two variations on the theme of Lamb–Chaplygin: supersmooth dipole and rotating multipoles. Zbl 1102.76008
Kizner, Ziv; Khvoles, R.
20
2004
The spatial problem of 2 bodies on a sphere. Reduction and stochasticity. Zbl 1402.70015
Borisov, Alexey V.; Mamaev, Ivan S.; Bizyaev, Ivan A.
20
2016
Dynamics of the Suslov problem in a gravitational field: reversal and strange attractors. Zbl 1344.37073
Bizyaev, Ivan A.; Borisov, Alexey V.; Kazakov, Alexey O.
20
2015
Generalized Chaplygin’s transformation and explicit integration of a system with a spherical support. Zbl 1253.37063
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S.
20
2012
Polynomial entropies and integrable Hamiltonian systems. Zbl 1286.70022
Marco, Jean-Pierre
20
2013
The type numbers of closed geodesics. Zbl 1229.58015
Taimanov, I. A.
19
2010
Secular dynamics of a planar model of the Sun-Jupiter-Saturn-Uranus system; effective stability in the light of Kolmogorov and Nekhoroshev theories. Zbl 1390.70020
Giorgilli, Antonio; Locatelli, Ugo; Sansottera, Marco
19
2017
Periodic flows, rank-two Poisson structures, and nonholonomic mechanics. Zbl 1077.37043
Fassò, F.; Giacobbe, A.; Sansonetto, N.
19
2005
Conservation of energy and momenta in nonholonomic systems with affine constraints. Zbl 1353.70033
Fassò, Francesco; Sansonetto, Nicola
19
2015
Exotic dynamics of nonholonomic roller racer with periodic control. Zbl 1412.37064
Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S.
19
2018
On the dynamic model and motion planning for a spherical rolling robot actuated by orthogonal internal rotors. Zbl 1272.70049
Svinin, Mikhail; Morinaga, Akihiro; Yamamoto, Motoji
19
2013
On detachment conditions in the problem on the motion of a rigid body on a rough plane. Zbl 1229.70015
Ivanov, A. P.
18
2008
Multiparticle systems. The algebra of integrals and integrable cases. Zbl 1229.37106
Borisov, A. V.; Kilin, A. A.; Mamaev, I. S.
18
2009
Stability of Thomson’s configurations of vortices on a sphere. Zbl 0967.76023
Borisov, A. V.; Kilin, A. A.
18
2000
Lie algebras in vortex dynamics and celestial mechanics. IV. Zbl 1076.76513
Bolsinov, A. V.; Borisov, A. V.; Mamaev, I. S.
18
1999
The dynamics of orbits in a potential field of a solid circular ring. Zbl 1128.70308
Broucke, R. A.; Elipe, A.
18
2005
The ringing of Euler’s disk. Zbl 1013.70005
Kessler, P.; O’Reilly, O. M.
18
2002
The dynamics of an articulated \(n\)-trailer vehicle. Zbl 1342.37064
Bravo-Doddoli, Alejandro; García-Naranjo, Luis C.
18
2015
Dynamics of three vortices on a plane and a sphere. II: General compact case. Zbl 0933.76016
Borisov, A. V.; Lebedev, V. G.
17
1998
Dynamics of heton-like vortices. Zbl 1164.76423
Gryanik, V. M.; Sokolovskiy, M. A.; Verron, J.
17
2006
A note on theorem of Massera. Zbl 1164.37314
Zubelevich, O.
17
2006
Higher Painlevé transcendents as special solutions of some nonlinear integrable hierarchies. Zbl 1328.35193
Kudryashov, Nikolay A.
17
2014
The inertial motion of a roller racer. Zbl 1381.37076
Bizyaev, Ivan A.
17
2017
Dynamics and control of an omniwheel vehicle. Zbl 1367.70033
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S.
17
2015
Synchronization of Chimera states in a network of many unidirectionally coupled layers of discrete maps. Zbl 1411.90070
Strelkova, Galina I.; Vadivasova, Tatiana E.; Anishchenko, Vadim S.
17
2018
The Euler-Jacobi-Lie integrability theorem. Zbl 1283.34035
Kozlov, Valery V.
17
2013
Bifurcation diagrams of the Kowalevski top in two constant fields. Zbl 1133.70306
Kharlamov, M. P.
16
2005
Integrable Lotka-Volterra systems. Zbl 1229.37097
Bogoyavlenskij, O. I.
16
2008
A generalization of Chaplygin’s reducibility theorem. Zbl 1229.37087
Fernandez, O. E.; Mestdag, T.; Bloch, A. M.
16
2009
Euler configurations and quasi-polynomial systems. Zbl 1229.70032
Albouy, A.; Fu, Y.
16
2007
Asymmetric discrete Painlevé equations. Zbl 0983.34083
Kruskal, M. D.; Tamizhmani, K. M.; Grammaticos, B.; Ramani, A.
16
2000
Polynomial entropies for Bott integrable Hamiltonian systems. Zbl 1308.70025
Labrousse, Clémence; Marco, Jean-Pierre
16
2014
Scientific heritage of L. P. Shilnikov. Zbl 1353.37001
Afraimovich, Valentin S.; Gonchenko, Sergey V.; Lerman, Lev M.; Shilnikov, Andrey L.; Turaev, Dmitry V.
16
2014
Poisson structures for geometric curve flows in semi-simple homogeneous spaces. Zbl 1229.22018
Marí Beffa, G.; Olver, P. J.
15
2010
On cascades of elliptic periodic points in two-dimensional symplectic maps with homoclinic tangencies. Zbl 1229.37054
Gonchenko, M. S.; Gonchenko, S. V.
15
2009
Absolute and relative choreographies in the problem of point vortices moving on a plane. Zbl 1079.76020
Borisov, A. V.; Mamaev, I. S.; Kilin, A. A.
15
2004
Plate falling in a fluid: regular and chaotic dynamics of finite-dimensional models. Zbl 1327.34089
Kuznetsov, Sergey P.
15
2015
Flat metrics are strict local minimizers for the polynomial entropy. Zbl 1264.53077
Labrousse, Clémence
15
2012
Aspects of the planetary Birkhoff normal form. Zbl 1320.70007
Pinzari, Gabriella
15
2013
Maxwell strata and cut locus in the sub-Riemannian problem on the Engel group. Zbl 1401.76036
Ardentov, Andrei A.; Sachkov, Yuri L.
15
2017
Linear Hamiltonian systems: quadratic integrals, singular subspaces and stability. Zbl 1400.37061
Kozlov, Valery V.
15
2018
Complex Arnol’d-Liouville maps. Zbl 1528.37051
Biasco, Luca; Chierchia, Luigi
1
2023
Compactification of the energy surfaces for \(n\) bodies. Zbl 07765044
Knauf, Andreas; Montgomery, Richard
1
2023
Billiards within ellipsoids in the 4-dimensional pseudo-Euclidean spaces. Zbl 1522.37042
Dragović, Vladimir; Radnović, Milena
1
2023
Integrable systems associated to the filtrations of Lie algebras. Zbl 1527.37059
Jovanović, Božidar; Šukilović, Tijana; Vukmirović, Srdjan
1
2023
Spherical and planar ball bearings – a study of integrable cases. Zbl 07710979
Dragović, Vladimir; Gajić, Borislav; Jovanović, Božidar
1
2023
Roller racer with varying gyrostatic momentum: acceleration criterion and strange attractors. Zbl 1522.37074
Bizyaev, Ivan A.; Mamaev, Ivan S.
1
2023
Isochronicity in 1 DOF. Zbl 1484.34099
Treschev, Dmitry V.
3
2022
Geodesics in jet space. Zbl 07507462
Bravo-Doddoli, Alejandro; Montgomery, Richard
3
2022
Spherical and planar ball bearings — nonholonomic systems with invariant measures. Zbl 1504.37078
Dragović, Vladimir; Gajić, Borislav; Jovanović, Božidar
2
2022
Darboux inversions of the Kepler problem. Zbl 1513.70033
Albouy, Alain; Zhao, Lei
2
2022
Permanent rotations in nonholonomic mechanics. Omnirotational ellipsoid. Zbl 1517.37065
Bizyaev, Ivan A.; Mamaev, Ivan S.
1
2022
On the stability of exact subharmonic solutions of the Duffing equation. Zbl 1517.70035
Markeev, Anatoly P.
1
2022
Embedded solitons of the generalized nonlinear Schrödinger equation with high dispersion. Zbl 1509.34101
Kudryashov, Nikolay A.
1
2022
On some aspects of the dynamics of a ball in a rotating surface of revolution and of the Kasamawashi art. Zbl 1525.37072
Fassò, Francesco; Sansonetto, Nicola
1
2022
On some invariants of Birkhoff billiards under conjugacy. Zbl 1507.37035
Koudjinan, Comlan E.; Kaloshin, Vadim
1
2022
A top on a vibrating base: new integrable problem of nonholonomic mechanics. Zbl 1513.70012
Borisov, Alexey V.; Ivanov, Alexander P.
1
2022
The spherical Kapitza-Whitney pendulum. Zbl 1484.34110
Polekhin, Ivan Yu.
1
2022
Billiard ordered games and books. Zbl 1498.37092
Dragović, Vladimir; Gasiorek, Sean; Radnović, Milena
1
2022
Destruction of cluster structures in an ensemble of chaotic maps with noise-modulated nonlocal coupling. Zbl 1496.37052
Nikishina, Nataliya N.; Rybalova, Elena V.; Strelkova, Galina I.; Vadivasova, Tatiyana E.
1
2022
Escape times across the golden cantorus of the standard map. Zbl 1502.37048
Miguel, Narcís; Simó, Carles; Vieiro, Arturo
1
2022
Möbius fluid dynamics on the unitary groups. Zbl 1510.76133
Emmanuele, Daniela; Salvai, Marcos; Vittone, Francisco
1
2022
Circular vortex arrays in generalised Euler’s and quasi-geostrophic dynamics. Zbl 1490.76059
Reinaud, Jean N.
1
2022
Soliton solutions of high-order nonlinear Schrödinger equations with different laws of nonlinearities. Zbl 1473.35506
Hosseini, Kamyar; Matinfar, Mashaallah; Mirzazadeh, Mohammad
10
2021
From Poincaré maps to Lagrangian descriptors: the case of the valley ridge inflection point potential. Zbl 1490.37101
Crossley, Rebecca; Agaoglou, Makrina; Katsanikas, Matthaios; Wiggins, Stephen
5
2021
Dynamics of a circular cylinder and two point vortices in a perfect fluid. Zbl 1482.76017
Ramodanov, Sergey M.; Sokolov, Sergey V.
5
2021
Parametric stability of a charged pendulum with an oscillating suspension point. Zbl 1493.70066
Cruz Araujo, Gerson; Cabral, Hildeberto E.
4
2021
Ring configurations of point vortices in polar atmospheres. Zbl 1490.76056
Dritschel, David G.
3
2021
Existence of a smooth Hamiltonian circle action near parabolic orbits and cuspidal tori. Zbl 1490.37080
Kudryavtseva, Elena A.; Martynchuk, Nikolay N.
3
2021
The time evolution of the trajectories after the selectivity in a symmetric potential energy surface with a post-transition-state bifurcation. Zbl 1490.37068
Haigh, Douglas; Katsanikas, Matthaios; Agaoglou, Makrina; Wiggins, Stephen
3
2021
Compactness and index of ordinary central configurations for the curved \(n\)-body problem. Zbl 1491.70013
Zhu, Shuqiang
2
2021
Three-dimensional quasi-geostrophic staggered vortex arrays. Zbl 1479.76042
Reinaud, Jean N.
2
2021
Classification of perturbations of Diophantine \(\mathbb{Z}^m\) actions on tori of arbitrary dimension. Zbl 1490.37085
Petković, Boris
2
2021
Uncertainty quantification of stochastic epidemic SIR models using B-spline polynomial chaos. Zbl 1471.92320
Kaur, Navjot; Goyal, Kavita
2
2021
On singularly perturbed linear cocycles over irrational rotations. Zbl 1484.37057
Ivanov, Alexey V.
1
2021
A restricted four-body problem for the figure-eight choreography. Zbl 1475.34033
Lara, Ricardo; Bengochea, Abimael
1
2021
Lax pairs and rational solutions of similarity reductions for Kupershmidt and Sawada-Kotera hierarchies. Zbl 1475.34055
Kudryashov, Nikolay A.
1
2021
Recruitment effects on the evolution of epidemics in a simple SIR model. Zbl 1478.92213
Nakamura, Gilberto; Grammaticos, Basil; Badoual, Mathilde
1
2021
On the metric stability and the Nekhoroshev estimate of the velocity of Arnold diffusion in a special case of the three-body problem. Zbl 1486.70054
Markeev, Anatoly P.
1
2021
Construction of the Morse-Bott energy function for regular topological flows. Zbl 1484.37039
Pochinka, Olga V.; Zinina, Svetlana Kh.
1
2021
Two-body problem on a sphere in the presence of a uniform magnetic field. Zbl 1482.70007
Balabanova, Nataliya A.; Montaldi, James A.
1
2021
Conservation laws for solitons in magneto-optic waveguides with anti-cubic and generalized anti-cubic nonlinearities. Zbl 1475.78007
Biswas, Anjan; Kara, Abdul H.; Ekici, Mehmet; Zayed, Elsayed M. E.; Alzahrani, Abdullah K.; Belic, Milivoj R.
1
2021
Celebrating the 200th anniversary of the birth of Hermann Ludwig Ferdinand von Helmholtz (31.08.1821–08.09.1894). Zbl 1484.37001
1
2021
Evolution of the singularities of the Schwarz function corresponding to the motion of a vortex patch in the two-dimensional Euler equations. Zbl 1479.76020
Riccardi, Giorgio; Dritschel, David G.
1
2021
The interaction of two unsteady point vortex sources in a deformation field in 2D incompressible flows. Zbl 1478.76073
Vic, Armand; Carton, Xavier; Gula, Jonathan
1
2021
Integrals of circulatory systems which are quadratic in momenta. Zbl 1490.37074
Kozlov, Valery V.
1
2021
Qualitative analysis of the dynamics of a balanced circular foil and a vortex. Zbl 1482.76014
Bizyaev, Ivan A.; Mamaev, Ivan S.
1
2021
Strongly reversible flows on connected manifolds. Zbl 1490.37013
Rejeb, Khadija Ben
1
2021
A particular integrable case in the nonautonomous problem of a Chaplygin sphere rolling on a vibrating plane. Zbl 1490.37079
Kilin, Alexander A.; Pivovarova, Elena N.
1
2021
Integrals of motion in time-periodic Hamiltonian systems: the case of the Mathieu equation. Zbl 1487.70078
Tzemos, Athanasios C.; Contopoulos, George
1
2021
A new \((3+1)\)-dimensional Hirota bilinear equation: its Bäcklund transformation and rational-type solutions. Zbl 1450.37065
Hosseini, Kamyar; Samavat, Majid; Mirzazadeh, Mohammad; Ma, Wen-Xiu; Hammouch, Zakia
14
2020
Highly dispersive optical solitons of an equation with arbitrary refractive index. Zbl 1471.35251
Kudryashov, Nikolay A.
12
2020
Dynamics of rubber Chaplygin sphere under periodic control. Zbl 1437.37082
Mamaev, Ivan S.; Vetchanin, Evgeny V.
8
2020
Persistence of hyperbolic-type degenerate lower-dimensional invariant tori with prescribed frequencies in Hamiltonian systems. Zbl 1481.37067
Xu, Junxiang; You, Jiangong
8
2020
Conservation laws for highly dispersive optical solitons in birefringent fibers. Zbl 1433.78019
Biswas, Anjan; Kara, Abdul H.; Zhou, Qin; Alzahrani, Abdullah Kamis; Belic, Milivoj R.
6
2020
Dynamics of the tippe top on a vibrating base. Zbl 1475.70007
Borisov, Alexey V.; Ivanov, Alexander P.
6
2020
Kovalevskaya exponents, weak Painlevé property and integrability for quasi-homogeneous differential systems. Zbl 1470.34004
Huang, Kaiyin; Shi, Shaoyun; Li, Wenlei
5
2020
Revisiting the human and nature dynamics model. Zbl 1440.37083
Grammaticos, Basil; Willox, Ralph; Satsuma, Junkichi
5
2020
Stability and stabilization of steady rotations of a spherical robot on a vibrating base. Zbl 1475.70005
Kilin, Alexander A.; Pivovarova, Elena N.
5
2020
Parametric stability of a pendulum with variable length in an elliptic orbit. Zbl 1465.70049
de Menezes Neto, José Laudelino; Cabral, Hildeberto E.
4
2020
On the nonlinear stability of the triangular points in the circular spatial restricted three-body problem. Zbl 1441.70004
Cárcamo-Díaz, Daniela; Palacián, Jesús F.; Vidal, Claudio; Yanguas, Patricia
4
2020
Periodic controls in step 2 strictly convex sub-Finsler problems. Zbl 1473.49026
Sachkov, Yuri L.
4
2020
Lax pairs and special polynomials associated with self-similar reductions of Sawada – Kotera and Kupershmidt equations. Zbl 1441.34096
Kudryashov, Nikolay A.
4
2020
Confinement strategies in a simple SIR model. Zbl 1471.92337
Nakamura, Gilberto; Grammaticos, Basil; Badoual, Mathilde
4
2020
The role of depth and flatness of a potential energy surface in chemical reaction dynamics. Zbl 1465.37070
Lyu, Wenyang; Naik, Shibabrat; Wiggins, Stephen
3
2020
Chaos in Bohmian quantum mechanics: a short review. Zbl 1458.81024
Contopoulos, George; Tzemos, Athanasios C.
3
2020
The method of averaging for the Kapitza-Whitney pendulum. Zbl 1466.70020
Polekhin, Ivan Yu.
3
2020
On dynamics of Jellet’s egg. Asymptotic solutions revisited. Zbl 1434.70019
Rauch-Wojciechowski, Stefan; Przybylska, Maria
3
2020
Two nonholonomic chaotic systems. I: On the Suslov problem. Zbl 1448.37075
Borisov, Alexey V.; Mikishanina, Evgeniya A.
2
2020
Nondegenerate Hamiltonian Hopf bifurcations in \(\omega:3:6\) resonance \((\omega=1\) or \(2)\). Zbl 1475.70019
Mazrooei-Sebdani, Reza; Hakimi, Elham
2
2020
The tippedisk: a tippetop without rotational symmetry. Zbl 1475.70006
Sailer, Simon; Eugster, Simon R.; Leine, Remco I.
2
2020
Dynamics of a spherical robot with variable moments of inertia and a displaced center of mass. Zbl 1483.70003
Artemova, Elizaveta M.; Karavaev, Yury L.; Mamaev, Ivan S.; Vetchanin, Evgeny V.
2
2020
A study of energy band rearrangement in isolated molecules by means of the Dirac oscillator approximation. Zbl 1458.37063
Dhont, Guillaume; Iwai, Toshihiro; Zhilinskií, Boris I.
1
2020
Dynamics and bifurcations on the normally hyperbolic invariant manifold of a periodically driven system with rank-1 saddle. Zbl 1458.37045
Kuchelmeister, Manuel; Reiff, Johannes; Main, Jörg; Hernandez, Rigoberto
1
2020
Rational solutions of equations associated with the second Painlevé equation. Zbl 1451.34004
Kudryashov, Nikolay A.
1
2020
Experimental results versus computer simulations of noisy Poincaré maps in an intermittency scenario. Zbl 1450.37072
del Rio, Ezequiel; Elaskar, Sergio
1
2020
On the stability of potential systems under the action of non-conservative positional forces. Zbl 1464.70013
Bulatovic, Ranislav M.
1
2020
Optical dromions and domain walls with the Kundu-Mukherjee-Naskar equation by the Laplace-Adomian decomposition scheme. Zbl 1448.65291
González-Gaxiola, Oswaldo; Biswas, Anjan; Asma, Mir; Alzahrani, Abdullah Kamis
1
2020
A map for systems with resonant trappings and scatterings. Zbl 1473.37056
Artemyev, Anton V.; Neishtadt, Anatoly I.; Vasiliev, Alexei A.
1
2020
Two variations on the periscope theorem. Zbl 1447.78002
Tabachnikov, Serge
1
2020
On periodic Poincaré motions in the case of degeneracy of an unperturbed system. Zbl 1434.70040
Markeev, Anatoly P.
1
2020
Quantifying the transition from spiral waves to spiral wave chimeras in a lattice of self-sustained oscillators. Zbl 1480.34053
Shepelev, Igor A.; Bukh, Andrei V.; Muni, Sishu S.; Anishchenko, Vadim S.
1
2020
On topological classification of gradient-like flows on an \(n\)-sphere in the sense of topological conjugacy. Zbl 1481.37023
Kruglov, Vladislav E.; Malyshev, Dmitry S.; Pochinka, Olga V.; Shubin, Danila D.
1
2020
Caustics of Poncelet polygons and classical extremal polynomials. Zbl 1432.37055
Dragović, Vladimir; Radnović, Milena
11
2019
Different models of rolling for a robot ball on a plane as a generalization of the Chaplygin ball problem. Zbl 1437.37078
Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S.
11
2019
Painlevé analysis and a solution to the traveling wave reduction of the Radhakrishnan-Kundu-Lakshmanan equation. Zbl 1434.78022
Kudryashov, Nikolay A.; Safonova, Dariya V.; Biswas, Anjan
9
2019
Sub-Finsler geodesics on the Cartan group. Zbl 1412.49084
Ardentov, Andrei A.; Le Donne, Enrico; Sachkov, Yuri L.
8
2019
Hamiltonization and separation of variables for a Chaplygin ball on a rotating plane. Zbl 1433.37065
Tsiganov, Andrey V.
7
2019
The Kepler problem: polynomial algebra of nonpolynomial first integrals. Zbl 1459.70041
Tsiganov, Andrey V.
7
2019
Periodic billiards within conics in the Minkowski plane and Akhiezer polynomials. Zbl 1436.37036
Adabrah, Anani Komla; Dragović, Vladimir; Radnović, Milena
6
2019
Rational and special solutions for some Painlevé hierarchies. Zbl 1415.34132
Kudryashov, Nikolay A.
5
2019
The dynamics of a Chaplygin sleigh with an elastic internal rotor. Zbl 1412.37066
Fedonyuk, Vitaliy; Tallapragada, Phanindra
5
2019
Roaming at constant kinetic energy: Chesnavich’s model and the Hamiltonian isokinetic thermostat. Zbl 1436.37075
Krajňák, Vladimír; Ezra, Gregory S.; Wiggins, Stephen
5
2019
Euler elasticas for optimal control of the motion of mobile wheeled robots: the problem of experimental realization. Zbl 1431.49056
Ardentov, Andrey A.; Karavaev, Yury L.; Yefremov, Kirill S.
4
2019
Impact of noise on the amplitude chimera lifetime in an ensemble of nonlocally coupled chaotic maps. Zbl 1479.39021
Rybalova, Elena V.; Klyushina, Daria Y.; Anishchenko, Vadim S.; Strelkova, Galina I.
4
2019
On the normal force and static friction acting on a rolling ball actuated by internal point masses. Zbl 1433.37064
Putkaradze, Vakhtang; Rogers, Stuart M.
3
2019
On the volume elements of a manifold with transverse zeroes. Zbl 1435.53059
Cardona, Robert; Miranda, Eva
3
2019
Qualitative analysis of the nonholonomic rolling of a rubber wheel with sharp edges. Zbl 1423.70013
Kilin, Alexander A.; Pivovarova, Elena N.
3
2019
On the motions of one near-autonomous Hamiltonian system at a 1:1:1 resonance. Zbl 1428.70037
Kholostova, Olga V.
3
2019
A note about integrable systems on low-dimensional Lie groups and Lie algebras. Zbl 1435.37082
Bolsinov, Alexey; Bao, Jinrong
3
2019
Evolution of Lagrangian manifolds and asymptotic solutions to the linearized equations of gas dynamics. Zbl 1412.35060
Allilueva, Anna I.; Shafarevich, Andrei I.
3
2019
...and 792 more Documents
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Cited by 3,376 Authors

113 Borisov, Alekseĭ Vladimirovich
107 Mamaev, Ivan Sergeevich
66 Kudryashov, Nikolaĭ Alekseevich
64 Tsyganov, Andreĭ Vladimirovich
57 Kilin, Aleksandr Aleksandrovich
38 Xu, Junxiang
37 Bizyaev, Ivan Alekseevich
36 Wiggins, Stephen R.
30 Gonchenko, Sergey V.
29 Dragović, Vladimir
29 Kozlov, Valeriĭ Vasil’evich
27 Vidal, Claudio
26 Llibre, Jaume
26 Przybylska, Maria
25 Simó, Carles
25 Zhang, Dongfeng
23 Matveev, Vladimir S.
22 Kazakov, Alexey O.
22 Kuznetsov, Sergey P.
21 Broer, Henk W.
21 Turaev, Dmitry V.
20 García-Naranjo, Luis C.
20 Maciejewski, Andrzej J.
19 Bardin, Boris Sabirovich
19 Bolsinov, Alexey V.
19 Vetchanin, Evgeniĭ Vladimirovich
18 Bounemoura, Abed Bounemoura
18 Sinelshchikov, Dmitry I.
17 Dullin, Holger R.
17 Kurakin, Leonid Gennadievich
17 Meiss, James D.
16 Grammaticos, Basil
16 Guzzo, Massimiliano
16 Ryabov, Pavel Evgen’evich
15 Delshams, Amadeu
15 Gonchenko, Marina S.
15 Pivovarova, Elena Nikolaevna
15 Vedyushkina, Viktoriya Viktorovna
14 Biswas, Anjan
14 Miranda, Eva
14 Mireles-James, Jason D.
14 Strelkova, Galina Ivanova
13 Hanßmann, Heinz
13 Ivanov, Aleksandr Pavlovich
13 Jovanović, Božidar Žarko
13 Karavaev, Yurĭ Leonidovich
13 Mikishanina, Evgeniya Arifzhanovna
13 Palacián, Jesús F.
13 Suris, Yuri Borisovich
13 Valiquette, Francis
13 Yanguas, Patricia
12 Bolotin, Sergeĭ Vladimirovich
12 Burov, Aleksandr Anatol’evich
12 Kizner, Ziv
12 Locatelli, Ugo
12 Petrera, Matteo
12 Pinzari, Gabriella
12 Radnović, Milena
12 Ramani, Alfred
12 Sansottera, Marco
12 Sataev, Igor’ Rustamovich
12 Sokolov, Sergeĭ Viktorovich
11 Anishchenko, Vadim Semenovich
11 Celletti, Alessandra
11 de la Llave, Rafael
11 Fassò, Francesco
11 Gajić, Borislav
11 Gonchenko, Aleksandr Sergeevich
11 Katsanikas, Matthaios
11 Pérez-Chavela, Ernesto
11 Vieiro, Arturo
10 Balseiro, Paula
10 Berti, Massimiliano
10 Bloch, Anthony Michael
10 Corbera, Montserrat
10 Fomenko, Anatoliĭ Timofeevich
10 García-Garrido, Víctor J.
10 Gubbiotti, Giorgio
10 Koiller, Jair
10 Newton, Paul K.
10 Ostrovskaya, Irina V.
10 Quispel, Gilles Reinout Willem
10 Sansonetto, Nicola
10 Stankevich, Nataliya Vladimirovna
10 Valls Anglés, Cláudia
10 Vanhaecke, Pol
9 Carton, Xavier J.
9 Chierchia, Luigi
9 Fedorov, Yuri N.
9 Gutkin, Eugene
9 Ivanov, Alexey V.
9 Kaloshin, Vadim Yu.
9 Kanso, Eva Adnan
9 McLaren, David I.
9 Montaldi, James A.
9 Morozov, Al’bert Dmitrievich
9 Nguyen Thieu Huy
9 Reinaud, Jean N.
9 Rozikov, Utkir A.
9 Rybalova, Elena V.
...and 3,276 more Authors
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Cited in 405 Journals

475 Regular and Chaotic Dynamics
115 Physica D
84 Chaos
81 Russian Journal of Nonlinear Dynamics
79 Journal of Mathematical Physics
74 Celestial Mechanics and Dynamical Astronomy
73 Journal of Geometry and Physics
73 Journal of Differential Equations
65 Nonlinearity
64 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
64 Communications in Nonlinear Science and Numerical Simulation
58 Journal of Nonlinear Science
50 Journal of Physics A: Mathematical and Theoretical
47 Discrete and Continuous Dynamical Systems
44 Communications in Mathematical Physics
44 Theoretical and Mathematical Physics
40 Chaos, Solitons and Fractals
37 Journal of Mathematical Analysis and Applications
34 Physics Letters. A
34 Applied Mathematics and Computation
33 Journal of Fluid Mechanics
33 Journal of Mathematical Sciences (New York)
31 Nonlinear Dynamics
31 SIAM Journal on Applied Dynamical Systems
30 Journal of Dynamics and Differential Equations
30 Doklady Mathematics
29 Russian Journal of Mathematical Physics
29 Proceedings of the Steklov Institute of Mathematics
29 Journal of Geometric Mechanics
28 Archive for Rational Mechanics and Analysis
28 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
27 Journal of Applied Mathematics and Mechanics
24 Qualitative Theory of Dynamical Systems
23 Proceedings of the American Mathematical Society
23 Ergodic Theory and Dynamical Systems
22 Mathematical Notes
18 Advances in Mathematics
17 Letters in Mathematical Physics
17 Moscow University Mathematics Bulletin
17 Journal of Nonlinear Mathematical Physics
16 Transactions of the American Mathematical Society
16 Discrete and Continuous Dynamical Systems. Series B
15 Sbornik: Mathematics
15 Journal of Dynamical and Control Systems
14 Journal of Computational Dynamics
14 Nelineĭnaya Dinamika
14 Mechanics of Solids
13 Reports on Mathematical Physics
13 Acta Applicandae Mathematicae
13 Theoretical and Applied Mechanics
13 International Journal of Geometric Methods in Modern Physics
12 Lobachevskii Journal of Mathematics
11 Journal of Statistical Physics
11 Theoretical and Computational Fluid Dynamics
11 Journal of Difference Equations and Applications
11 Journal of High Energy Physics
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 Acta Mechanica
10 Indagationes Mathematicae. New Series
10 Physics of Fluids
10 Dynamical Systems
9 Geophysical and Astrophysical Fluid Dynamics
9 Annales de l’Institut Fourier
9 Inventiones Mathematicae
9 Siberian Mathematical Journal
9 Applied Mathematics Letters
9 Applied Mathematical Modelling
9 Multibody System Dynamics
9 Arnold Mathematical Journal
8 Russian Mathematical Surveys
8 Geometriae Dedicata
8 Mathematics and Computers in Simulation
8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
8 Computational Mathematics and Mathematical Physics
8 Mathematical Physics, Analysis and Geometry
8 Annales Henri Poincaré
8 Discrete and Continuous Dynamical Systems. Series S
8 Analysis and Mathematical Physics
7 Journal of Computational and Applied Mathematics
7 Mathematische Zeitschrift
7 Differential Geometry and its Applications
7 Calculus of Variations and Partial Differential Equations
7 European Journal of Control
7 Acta Mathematica Sinica. English Series
7 Differential Equations
7 Journal of Theoretical Biology
7 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki
6 Reviews in Mathematical Physics
6 Automatica
6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
6 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Chebyshevskiĭ Sbornik
6 Journal of Fixed Point Theory and Applications
6 International Journal of Applied and Computational Mathematics
6 Applied Mathematics and Nonlinear Sciences
5 European Journal of Physics
5 Journal of Computational Physics
5 Mathematical Methods in the Applied Sciences
...and 305 more Journals
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Cited in 60 Fields

1,801 Dynamical systems and ergodic theory (37-XX)
1,420 Mechanics of particles and systems (70-XX)
536 Ordinary differential equations (34-XX)
337 Differential geometry (53-XX)
320 Fluid mechanics (76-XX)
310 Partial differential equations (35-XX)
130 Numerical analysis (65-XX)
123 Quantum theory (81-XX)
104 Biology and other natural sciences (92-XX)
102 Global analysis, analysis on manifolds (58-XX)
97 Systems theory; control (93-XX)
90 Difference and functional equations (39-XX)
86 Algebraic geometry (14-XX)
65 Statistical mechanics, structure of matter (82-XX)
62 Mechanics of deformable solids (74-XX)
61 Number theory (11-XX)
59 Nonassociative rings and algebras (17-XX)
59 Calculus of variations and optimal control; optimization (49-XX)
49 Special functions (33-XX)
48 Computer science (68-XX)
43 Operator theory (47-XX)
42 Optics, electromagnetic theory (78-XX)
38 Topological groups, Lie groups (22-XX)
33 Manifolds and cell complexes (57-XX)
32 Geophysics (86-XX)
30 Relativity and gravitational theory (83-XX)
29 Probability theory and stochastic processes (60-XX)
25 Measure and integration (28-XX)
25 Functions of a complex variable (30-XX)
25 Several complex variables and analytic spaces (32-XX)
24 Combinatorics (05-XX)
24 Astronomy and astrophysics (85-XX)
22 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
18 Real functions (26-XX)
18 Approximations and expansions (41-XX)
17 History and biography (01-XX)
17 Linear and multilinear algebra; matrix theory (15-XX)
16 Convex and discrete geometry (52-XX)
16 Information and communication theory, circuits (94-XX)
15 General topology (54-XX)
12 Field theory and polynomials (12-XX)
11 Functional analysis (46-XX)
11 Classical thermodynamics, heat transfer (80-XX)
8 Commutative algebra (13-XX)
8 Group theory and generalizations (20-XX)
8 Geometry (51-XX)
7 Algebraic topology (55-XX)
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7 Operations research, mathematical programming (90-XX)
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5 General and overarching topics; collections (00-XX)
5 Potential theory (31-XX)
4 Associative rings and algebras (16-XX)
3 Category theory; homological algebra (18-XX)
2 Sequences, series, summability (40-XX)
2 Integral equations (45-XX)
1 Mathematical logic and foundations (03-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral transforms, operational calculus (44-XX)
1 Mathematics education (97-XX)

Citations by Year