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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: 1,177 Publications (since 1998)
References Indexed: 830 Publications with 23,223 References.
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Latest Issues

29, No. 1 (2024)
28, No. 6 (2023)
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13, No. 6 (2008)
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12, No. 3 (2007)
12, No. 2 (2007)
12, No. 1 (2007)
11, No. 4 (2006)
...and 33 more Volumes
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Authors

95 Borisov, Alekseĭ Vladimirovich
84 Mamaev, Ivan Sergeevich
44 Kilin, Aleksandr Aleksandrovich
31 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 Bardin, Boris Sabirovich
13 Markeev, Anatoliĭ Pavlovich
12 Morozov, Al’bert Dmitrievich
12 Turaev, Dmitry V.
11 Ivanov, Aleksandr Pavlovich
11 Przybylska, Maria
11 Treshchev, Dmitriĭ Valer’evich
10 Bolotin, Sergeĭ Vladimirovich
10 Grammaticos, Basil
10 Kazakov, Alexey O.
10 Neĭshtadt, Anatoliĭ Iserovich
10 Pivovarova, Elena Nikolaevna
10 Simó, Carles
9 Grines, Vyacheslav Zigmundovich
9 Pochinka, Ol’ga Vital’evna
9 Vidal, Claudio
8 Albouy, Alain
8 Carton, Xavier J.
8 Gajić, Borislav
8 Ivanov, Alexey V.
8 Lerman, Lev
8 Sevryuk, Mikhail Borisovich
8 Vetchanin, Evgeniĭ Vladimirovich
7 Bolsinov, Alexey V.
7 Cushman, Richard H.
7 Dullin, Holger R.
7 Fassò, Francesco
7 Kharlamov, Mikhail Pavlovich
7 Kurakin, Leonid Gennadievich
7 Maciejewski, Andrzej J.
7 O’Neil, Kevin Anthony
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 Gonchenko, Marina S.
5 Karavaev, Yurĭ Leonidovich
5 Koiller, Jair
5 Miranda, Eva
5 Sataev, Igor’ Rustamovich
5 Shafarevich, Andreĭ Igorevich
5 Shilnikov, Andrey L.
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 Guha, Partha
4 Guzzo, Massimiliano
4 Hanßmann, Heinz
4 Holmes, Philip J.
4 Inozemtsev, Vladimir I.
4 Ivanova, Tatiana B.
4 Jovanović, Božidar Žarko
4 Lanchares, Víctor
4 Medvedev, Vladislav Sergeevich
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
...and 964 more Authors
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Fields

764 Dynamical systems and ergodic theory (37-XX)
608 Mechanics of particles and systems (70-XX)
205 Ordinary differential equations (34-XX)
134 Fluid mechanics (76-XX)
88 Differential geometry (53-XX)
55 Partial differential equations (35-XX)
42 History and biography (01-XX)
30 Statistical mechanics, structure of matter (82-XX)
29 Biology and other natural sciences (92-XX)
24 Global analysis, analysis on manifolds (58-XX)
24 Numerical analysis (65-XX)
24 Mechanics of deformable solids (74-XX)
24 Quantum theory (81-XX)
21 Algebraic geometry (14-XX)
21 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)
9 General and overarching topics; collections (00-XX)
9 Topological groups, Lie groups (22-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 Linear and multilinear algebra; matrix theory (15-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 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

913 Publications have been cited 6,765 times in 3,550 Documents Cited by Year
Invariant tori in non-degenerate nearly integrable Hamiltonian systems. Zbl 0992.37050
Rüssmann, H.
110
2001
Rolling of a rigid body on a plane and sphere. Hierarchy of dynamics. Zbl 1058.70009
Borisov, A. V.; Mamaev, I. S.
77
2002
Conservation laws, hierarchy of dynamics and explicit integration of nonholonomic systems. Zbl 1229.70038
Borisov, A. V.; Mamaev, I. S.
73
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.
69
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.
62
2002
Richness of chaotic dynamics in nonholonomic models of a Celtic stone. Zbl 1417.37222
Gonchenko, Alexander S.; Gonchenko, Sergey V.; Kazakov, Alexey O.
57
2013
How to control Chaplygin’s sphere using rotors. Zbl 1264.37016
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S.
55
2012
Invariant curves of analytic perturbed nontwist area preserving maps. Zbl 0932.37048
Simó, C.
52
1998
On a ball’s rolling on a horizontal plane. Translated from the Russian 1903 original. Zbl 1058.70003
Chaplygin, S. A.
51
2002
Trajectory equivalence and corresponding integrals. Zbl 0928.37003
Matveev, V. S.; Topalov, P. Ĭ.
45
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
Hamiltonization of non-holonomic systems in the neighborhood of invariant manifolds. Zbl 1309.37049
Bolsinov, A. V.; Borisov, A. V.; Mamaev, I. S.
38
2011
Symmetries and reduction in nonholonomic mechanics. Zbl 1342.37001
Borisov, Alexey V.; Mamaev, Ivan S.
38
2015
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.
38
2014
Quasi-periodic bifurcations of invariant circles in low-dimensional dissipative dynamical systems. Zbl 1225.37087
Vitolo, Renato; Broer, Henk; Simó, Carles
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
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.
36
2012
The dynamics of Chaplygin ball: the qualitative and computer analysis. Zbl 1074.70513
Kilin, A. A.
35
2001
Bifurcations of Liouville tori in elliptical billiards. Zbl 1229.37065
Dragović, V.; Radnović, M.
34
2009
On integrability of Hirota-Kimura type discretizations. Zbl 1258.37067
Petrera, Matteo; Pfadler, Andreas; Suris, Yuri B.
34
2011
Chaplygin ball over a fixed sphere: an explicit integration. Zbl 1229.37080
Borisov, A. V.; Fedorov, Yu. N.; Mamaev, I. S.
33
2008
Popular ansatz methods and solitary wave solutions of the Kuramoto-Sivashinsky equation. Zbl 1229.34008
Kudryashov, N. A.; Soukharev, M. B.
32
2009
The dynamics and control of a spherical robot with an internal omniwheel platform. Zbl 1317.93192
Karavaev, Yury L.; Kilin, Alexander A.
32
2015
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
31
2016
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
On a paper of Moeckel on central configurations. Zbl 1061.70006
Albouy, A.
29
2003
Spherical robot of combined type: dynamics and control. Zbl 1339.93081
Kilin, Alexander A.; Pivovarova, Elena N.; Ivanova, Tatyana B.
29
2015
Mock (false) theta functions as quantum invariants. Zbl 1133.57301
Hikami, K.
29
2005
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.
28
2014
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
Rubber rolling over a sphere. Zbl 1229.37089
Koiller, Jair; Ehlers, Kurt
28
2007
Hamiltonicity and integrability of the Suslov problem. Zbl 1277.70008
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S.
28
2011
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
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
Dynamics of rolling disk. Zbl 1112.37320
Borisov, A. V.; Mamaev, I. S.; Kilin, A. A.
27
2003
Billiard dynamics: a survey with the emphasis on open problems. Zbl 1023.37022
Gutkin, E.
27
2003
Solitary and periodic solutions of the generalized Kuramoto-Sivashinsky equation. Zbl 1229.35229
Kudryashov, N. A.
27
2008
KAM à la R. Zbl 1219.37044
Pöschel, Jürgen
27
2011
Simultaneous separation for the Neumann and Chaplygin systems. Zbl 1325.37052
Tsiganov, Andrey
25
2015
Higher dimensional continued fractions. Zbl 1044.11596
Arnold, V. I.
24
1998
On the Hadamard-Hamel problem and the dynamics of wheeled vehicles. Zbl 1367.70034
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S.
24
2015
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
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.
23
1998
Dynamics and statics of vortices on a plane and a sphere. I. Zbl 0934.76014
Borisov, A. V.; Pavlov, A. E.
23
1998
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
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
Polynomial entropies and integrable Hamiltonian systems. Zbl 1286.70022
Marco, Jean-Pierre
23
2013
Geometric integration via multi-space. Zbl 1068.65092
Kim, Pilwon; Olver, Peter J.
22
2004
Nekhoroshev-stability of \(L4\) and \(L5\) in the spatial restricted three-body problem. Zbl 0934.70010
Benettin, G.; Fassò, F.; Guzzo, M.
22
1998
Bi-Hamiltonian structures and singularities of integrable systems. Zbl 1229.37092
Bolsinov, A. V.; Oshemkov, A. A.
22
2009
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
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
The spatial problem of 2 bodies on a sphere. Reduction and stochasticity. Zbl 1402.70015
Borisov, Alexey V.; Mamaev, Ivan S.; Bizyaev, Ivan A.
21
2016
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
Asymmetric discrete Painlevé equations. Zbl 0983.34083
Kruskal, M. D.; Tamizhmani, K. M.; Grammaticos, B.; Ramani, A.
20
2000
Two variations on the theme of Lamb–Chaplygin: supersmooth dipole and rotating multipoles. Zbl 1102.76008
Kizner, Ziv; Khvoles, R.
20
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
Periodic flows, rank-two Poisson structures, and nonholonomic mechanics. Zbl 1077.37043
Fassò, F.; Giacobbe, A.; Sansonetto, N.
20
2005
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
Conservation of energy and momenta in nonholonomic systems with affine constraints. Zbl 1353.70033
Fassò, Francesco; Sansonetto, Nicola
20
2015
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
Exotic dynamics of nonholonomic roller racer with periodic control. Zbl 1412.37064
Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S.
19
2018
The type numbers of closed geodesics. Zbl 1229.58015
Taimanov, I. A.
19
2010
Multiparticle systems. The algebra of integrals and integrable cases. Zbl 1229.37106
Borisov, A. V.; Kilin, A. A.; Mamaev, I. S.
19
2009
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
Higher Painlevé transcendents as special solutions of some nonlinear integrable hierarchies. Zbl 1328.35193
Kudryashov, Nikolay A.
19
2014
The ringing of Euler’s disk. Zbl 1013.70005
Kessler, P.; O’Reilly, O. M.
18
2002
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
Scientific heritage of L. P. Shilnikov. Zbl 1353.37001
Afraimovich, Valentin S.; Gonchenko, Sergey V.; Lerman, Lev M.; Shilnikov, Andrey L.; Turaev, Dmitry V.
18
2014
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
A note on theorem of Massera. Zbl 1164.37314
Zubelevich, O.
18
2006
Stability of Thomson’s configurations of vortices on a sphere. Zbl 0967.76023
Borisov, A. V.; Kilin, A. A.
18
2000
The dynamics of an articulated \(n\)-trailer vehicle. Zbl 1342.37064
Bravo-Doddoli, Alejandro; García-Naranjo, Luis C.
18
2015
The inertial motion of a roller racer. Zbl 1381.37076
Bizyaev, Ivan A.
17
2017
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
Polynomial entropies for Bott integrable Hamiltonian systems. Zbl 1308.70025
Labrousse, Clémence; Marco, Jean-Pierre
17
2014
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
A generalization of Chaplygin’s reducibility theorem. Zbl 1229.37087
Fernandez, O. E.; Mestdag, T.; Bloch, A. M.
17
2009
Dynamics of heton-like vortices. Zbl 1164.76423
Gryanik, V. M.; Sokolovskiy, M. A.; Verron, J.
17
2006
The Euler-Jacobi-Lie integrability theorem. Zbl 1283.34035
Kozlov, Valery V.
17
2013
Dynamics and control of an omniwheel vehicle. Zbl 1367.70033
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S.
17
2015
Superintegrable systems on a sphere. Zbl 1077.37520
Borisov, A. V.; Mamaev, I. S.
16
2005
Poisson structures for geometric curve flows in semi-simple homogeneous spaces. Zbl 1229.22018
Marí Beffa, G.; Olver, P. J.
16
2010
The dynamics of vortex rings: leapfrogging, choreographies and the stability problem. Zbl 1273.76067
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S.
16
2013
Euler configurations and quasi-polynomial systems. Zbl 1229.70032
Albouy, A.; Fu, Y.
16
2007
On cascades of elliptic periodic points in two-dimensional symplectic maps with homoclinic tangencies. Zbl 1229.37054
Gonchenko, M. S.; Gonchenko, S. V.
16
2009
Integrable Lotka-Volterra systems. Zbl 1229.37097
Bogoyavlenskij, O. I.
16
2008
Bifurcation diagrams of the Kowalevski top in two constant fields. Zbl 1133.70306
Kharlamov, M. P.
16
2005
Flat metrics are strict local minimizers for the polynomial entropy. Zbl 1264.53077
Labrousse, Clémence
16
2012
Periodic shadowing and \(\Omega \)-stability. Zbl 1203.37039
Osipov, A. V.; Pilyugin, S. Yu.; Tikhomirov, S. B.
16
2010
Plate falling in a fluid: regular and chaotic dynamics of finite-dimensional models. Zbl 1327.34089
Kuznetsov, Sergey P.
16
2015
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
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
Dynamics of an unbalanced disk with a single nonholonomic constraint. Zbl 1522.37075
Kilin, Alexander A.; Pivovarova, Elena N.
1
2023
Roller racer with varying gyrostatic momentum: acceleration criterion and strange attractors. Zbl 1522.37074
Bizyaev, Ivan A.; Mamaev, Ivan S.
1
2023
Smale regular and chaotic A-homeomorphisms and A-diffeomorphisms. Zbl 1522.37035
Medvedev, Vladislav S.; Zhuzhoma, Evgeny V.
1
2023
On the method of introduction of local variables in a neighborhood of periodic solution of a Hamiltonian system with two degrees of freedom. Zbl 07826441
Bardin, Boris S.
1
2023
Complex Arnol’d-Liouville maps. Zbl 1528.37051
Biasco, Luca; Chierchia, Luigi
1
2023
From 2\(N\) to infinitely many escape orbits. Zbl 1531.37052
Fontana-McNally, Josep; Miranda, Eva; Oms, Cédric; Peralta-Salas, Daniel
1
2023
Compactification of the energy surfaces for \(n\) bodies. Zbl 07765044
Knauf, Andreas; Montgomery, Richard
1
2023
Isochronicity in 1 DOF. Zbl 1484.34099
Treschev, Dmitry V.
3
2022
Geodesics in jet space. Zbl 1532.53056
Bravo-Doddoli, Alejandro; Montgomery, Richard
3
2022
Darboux inversions of the Kepler problem. Zbl 1513.70033
Albouy, Alain; Zhao, Lei
2
2022
Spherical and planar ball bearings — nonholonomic systems with invariant measures. Zbl 1504.37078
Dragović, Vladimir; Gajić, Borislav; Jovanović, Božidar
2
2022
Permanent rotations in nonholonomic mechanics. Omnirotational ellipsoid. Zbl 1517.37065
Bizyaev, Ivan A.; Mamaev, Ivan S.
2
2022
A top on a vibrating base: new integrable problem of nonholonomic mechanics. Zbl 1513.70012
Borisov, Alexey V.; Ivanov, Alexander P.
2
2022
Billiard ordered games and books. Zbl 1498.37092
Dragović, Vladimir; Gasiorek, Sean; Radnović, Milena
2
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
Trace formula for the magnetic Laplacian on a compact hyperbolic surface. Zbl 1511.37066
Kordyukov, Yuri A.; Taimanov, Iskander A.
1
2022
On some invariants of Birkhoff billiards under conjugacy. Zbl 1507.37035
Koudjinan, Comlan E.; Kaloshin, Vadim
1
2022
Degenerate resonances and synchronization in nearly Hamiltonian systems under quasi-periodic perturbations. Zbl 1512.70020
Morozov, Albert D.; Morozov, Kirill E.
1
2022
On the topological structure of manifolds supporting axiom a systems. Zbl 1517.37034
Grines, Vyacheslav Z.; Medvedev, Vladislav S.; Zhuzhoma, Evgeny V.
1
2022
Antisymmetric diffeomorphisms and bifurcations of a double conservative Hénon map. Zbl 1517.37051
Gonchenko, Sergey V.; Safonov, Klim A.; Zelentsov, Nikita G.
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
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
The spherical Kapitza-Whitney pendulum. Zbl 1484.34110
Polekhin, Ivan Yu.
1
2022
On \(1:3\) resonance under reversible perturbations of conservative cubic Hénon maps. Zbl 1496.37049
Gonchenko, Marina S.; Kazakov, Alexey O.; Samylina, Evgeniya A.; Shykhmamedov, Aikan
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
Soliton solutions of high-order nonlinear Schrödinger equations with different laws of nonlinearities. Zbl 1473.35506
Hosseini, Kamyar; Matinfar, Mashaallah; Mirzazadeh, Mohammad
10
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
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
Parametric stability of a charged pendulum with an oscillating suspension point. Zbl 1493.70066
Cruz Araujo, Gerson; Cabral, Hildeberto E.
4
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
Ring configurations of point vortices in polar atmospheres. Zbl 1490.76056
Dritschel, David G.
3
2021
Classification of perturbations of Diophantine \(\mathbb{Z}^m\) actions on tori of arbitrary dimension. Zbl 1490.37085
Petković, Boris
2
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.
2
2021
Uncertainty quantification of stochastic epidemic SIR models using B-spline polynomial chaos. Zbl 1471.92320
Kaur, Navjot; Goyal, Kavita
2
2021
Compactness and index of ordinary central configurations for the curved \(n\)-body problem. Zbl 1491.70013
Zhu, Shuqiang
2
2021
Lax pairs and rational solutions of similarity reductions for Kupershmidt and Sawada-Kotera hierarchies. Zbl 1475.34055
Kudryashov, Nikolay A.
2
2021
Second-order saddle dynamics in isomerization reaction. Zbl 1478.92268
Rashmi, Richa; Yadav, Komal; Lourderaj, Upakarasamy; Paranjothy, Manikandan
2
2021
Classical and quantum dynamical manifestations of index-\(2\) saddles: concerted versus sequential reaction mechanisms. Zbl 1484.37062
Pandey, Priyanka; Naik, Shibabrat; Keshavamurthy, Srihari
2
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.
2
2021
Construction of the Morse-Bott energy function for regular topological flows. Zbl 1484.37039
Pochinka, Olga V.; Zinina, Svetlana Kh.
2
2021
Three-dimensional quasi-geostrophic staggered vortex arrays. Zbl 1479.76042
Reinaud, Jean N.
2
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
Expansiveness and hyperbolicity in convex billiards. Zbl 1490.37036
Bessa, Mário; Dias, João Lopes; Torres, Maria Joana
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
Recruitment effects on the evolution of epidemics in a simple SIR model. Zbl 1478.92213
Nakamura, Gilberto; Grammaticos, Basil; Badoual, Mathilde
1
2021
Investigating the stability and accuracy of a classical mapping variable Hamiltonian for nonadiabatic quantum dynamics. Zbl 1490.82038
Eklund, Elliot C.; Ananth, Nandini
1
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
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
Spectral radius formula for a parametric family of functional operators. Zbl 1480.35143
Zhuravlev, Nikolai B.; Rossovskii, Leonid E.
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
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
15
2020
Highly dispersive optical solitons of an equation with arbitrary refractive index. Zbl 1471.35251
Kudryashov, Nikolay A.
13
2020
Persistence of hyperbolic-type degenerate lower-dimensional invariant tori with prescribed frequencies in Hamiltonian systems. Zbl 1481.37067
Xu, Junxiang; You, Jiangong
9
2020
Dynamics of rubber Chaplygin sphere under periodic control. Zbl 1437.37082
Mamaev, Ivan S.; Vetchanin, Evgeny V.
8
2020
Dynamics of the tippe top on a vibrating base. Zbl 1475.70007
Borisov, Alexey V.; Ivanov, Alexander P.
7
2020
Kovalevskaya exponents, weak Painlevé property and integrability for quasi-homogeneous differential systems. Zbl 1470.34004
Huang, Kaiyin; Shi, Shaoyun; Li, Wenlei
7
2020
Stability and stabilization of steady rotations of a spherical robot on a vibrating base. Zbl 1475.70005
Kilin, Alexander A.; Pivovarova, Elena N.
6
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
Revisiting the human and nature dynamics model. Zbl 1440.37083
Grammaticos, Basil; Willox, Ralph; Satsuma, Junkichi
6
2020
Confinement strategies in a simple SIR model. Zbl 1471.92337
Nakamura, Gilberto; Grammaticos, Basil; Badoual, Mathilde
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
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
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
Nondegenerate Hamiltonian Hopf bifurcations in \(\omega:3:6\) resonance \((\omega=1\) or \(2)\). Zbl 1475.70019
Mazrooei-Sebdani, Reza; Hakimi, Elham
3
2020
On dynamics of Jellet’s egg. Asymptotic solutions revisited. Zbl 1434.70019
Rauch-Wojciechowski, Stefan; Przybylska, Maria
3
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
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
Two nonholonomic chaotic systems. I: On the Suslov problem. Zbl 1448.37075
Borisov, Alexey V.; Mikishanina, Evgeniya A.
2
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
Rheonomic systems with nonlinear nonholonomic constraints: the Voronec equations. Zbl 1475.70012
Talamucci, Federico
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
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
\(N\)-body dynamics on an infinite cylinder: the topological signature in the dynamics. Zbl 1454.37055
Andrade, Jaime; Boatto, Stefanella; Combot, Thierry; Duarte, Gladston; Stuchi, Teresinha J.
1
2020
On periodic Poincaré motions in the case of degeneracy of an unperturbed system. Zbl 1434.70040
Markeev, Anatoly P.
1
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
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
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
Caustics of Poncelet polygons and classical extremal polynomials. Zbl 1432.37055
Dragović, Vladimir; Radnović, Milena
12
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.
12
2019
...and 813 more Documents
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Cited by 3,501 Authors

113 Borisov, Alekseĭ Vladimirovich
107 Mamaev, Ivan Sergeevich
69 Kudryashov, Nikolaĭ Alekseevich
66 Tsyganov, Andreĭ Vladimirovich
59 Kilin, Aleksandr Aleksandrovich
43 Wiggins, Stephen R.
39 Xu, Junxiang
37 Bizyaev, Ivan Alekseevich
30 Dragović, Vladimir
30 Gonchenko, Sergey V.
29 Kozlov, Valeriĭ Vasil’evich
28 Przybylska, Maria
27 Vidal, Claudio
26 Llibre, Jaume
26 Zhang, Dongfeng
25 Kuznetsov, Sergey P.
25 Simó, Carles
24 Matveev, Vladimir S.
23 Kazakov, Alexey O.
22 Bardin, Boris Sabirovich
22 Grammaticos, Basil
22 Maciejewski, Andrzej J.
22 Turaev, Dmitry V.
21 Broer, Henk W.
20 García-Naranjo, Luis C.
19 Bolsinov, Alexey V.
19 Sinelshchikov, Dmitry I.
19 Vetchanin, Evgeniĭ Vladimirovich
18 Bounemoura, Abed Bounemoura
18 Dullin, Holger R.
18 Ramani, Alfred
17 Biswas, Anjan
17 Kurakin, Leonid Gennadievich
17 Meiss, James D.
17 Vedyushkina, Viktoriya Viktorovna
16 Gonchenko, Marina S.
16 Guzzo, Massimiliano
16 Katsanikas, Matthaios
16 Pivovarova, Elena Nikolaevna
16 Ryabov, Pavel Evgen’evich
15 Delshams, Amadeu
15 Miranda, Eva
15 Mireles-James, Jason D.
15 Valiquette, Francis
14 Mikishanina, Evgeniya Arifzhanovna
14 Palacián, Jesús F.
14 Sansottera, Marco
14 Strelkova, Galina Ivanova
14 Yanguas, Patricia
13 Hanßmann, Heinz
13 Ivanov, Aleksandr Pavlovich
13 Jovanović, Božidar Žarko
13 Karavaev, Yurĭ Leonidovich
13 Locatelli, Ugo
13 Radnović, Milena
13 Sataev, Igor’ Rustamovich
13 Stankevich, Nataliya Vladimirovna
13 Suris, Yuri Borisovich
12 Bolotin, Sergeĭ Vladimirovich
12 Burov, Aleksandr Anatol’evich
12 de la Llave, Rafael
12 Fomenko, Anatoliĭ Timofeevich
12 Kizner, Ziv
12 Kuznetsov, Aleksandr Petrovich
12 Petrera, Matteo
12 Pinzari, Gabriella
12 Sokolov, Sergeĭ Viktorovich
12 Vieiro, Arturo
11 Anishchenko, Vadim Semenovich
11 Belić, Milivoj R.
11 Celletti, Alessandra
11 Fassò, Francesco
11 Gajić, Borislav
11 Gonchenko, Aleksandr Sergeevich
11 Pérez-Chavela, Ernesto
11 Quispel, Gilles Reinout Willem
10 Alzahrani, Abdullah Khamis Hassan
10 Balseiro, Paula
10 Berti, Massimiliano
10 Bloch, Anthony Michael
10 Corbera, Montserrat
10 García-Garrido, Víctor J.
10 Gubbiotti, Giorgio
10 Ivanova, Tatiana B.
10 Koiller, Jair
10 Morozov, Al’bert Dmitrievich
10 Newton, Paul K.
10 Ostrovskaya, Irina V.
10 Sansonetto, Nicola
10 M-Seara, Tere
10 Valls Anglés, Cláudia
10 Vanhaecke, Pol
9 Carton, Xavier J.
9 Chernyshev, Vsevolod L.
9 Chierchia, Luigi
9 Damianou, Pantelis Andrea
9 Demina, Maria V.
9 Fedorov, Yuri N.
9 Grines, Vyacheslav Zigmundovich
9 Gutkin, Eugene
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Cited in 415 Journals

490 Regular and Chaotic Dynamics
116 Physica D
85 Chaos
84 Russian Journal of Nonlinear Dynamics
80 Journal of Mathematical Physics
80 Journal of Geometry and Physics
78 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
78 Communications in Nonlinear Science and Numerical Simulation
77 Journal of Differential Equations
74 Celestial Mechanics and Dynamical Astronomy
67 Nonlinearity
58 Journal of Nonlinear Science
53 Physics Letters. A
51 Journal of Physics A: Mathematical and Theoretical
47 Discrete and Continuous Dynamical Systems
46 Theoretical and Mathematical Physics
45 Communications in Mathematical Physics
40 Chaos, Solitons and Fractals
39 Journal of Mathematical Analysis and Applications
34 Applied Mathematics and Computation
33 Journal of Fluid Mechanics
33 Journal of Mathematical Sciences (New York)
32 Nonlinear Dynamics
32 SIAM Journal on Applied Dynamical Systems
31 Doklady Mathematics
30 Journal of Dynamics and Differential Equations
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
26 Qualitative Theory of Dynamical Systems
24 Mathematical Notes
24 Ergodic Theory and Dynamical Systems
23 Proceedings of the American Mathematical Society
21 Advances in Mathematics
21 Mechanics of Solids
19 Journal of Nonlinear Mathematical Physics
17 Letters in Mathematical Physics
17 Moscow University Mathematics Bulletin
17 Sbornik: Mathematics
16 Transactions of the American Mathematical Society
16 Discrete and Continuous Dynamical Systems. Series B
16 International Journal of Geometric Methods in Modern Physics
15 Reports on Mathematical Physics
15 Journal of Dynamical and Control Systems
15 Theoretical and Applied Mechanics
14 Journal of Computational Dynamics
14 Nelineĭnaya Dinamika
13 Acta Applicandae Mathematicae
12 Lobachevskii Journal of Mathematics
11 Acta Mechanica
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 Annales de l’Institut Fourier
10 Mathematics and Computers in Simulation
10 Indagationes Mathematicae. New Series
10 Physics of Fluids
10 Dynamical Systems
9 Geophysical and Astrophysical Fluid Dynamics
9 Mathematical Methods in the Applied Sciences
9 Russian Mathematical Surveys
9 Geometriae Dedicata
9 Inventiones Mathematicae
9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
9 Siberian Mathematical Journal
9 Studies in Applied Mathematics
9 Applied Mathematics Letters
9 Annals of Physics
9 Applied Mathematical Modelling
9 Multibody System Dynamics
9 Annales Henri Poincaré
9 Arnold Mathematical Journal
8 Journal of Computational and Applied Mathematics
8 Computational Mathematics and Mathematical Physics
8 Calculus of Variations and Partial Differential Equations
8 Mathematical Physics, Analysis and Geometry
8 Journal of Fixed Point Theory and Applications
8 Discrete and Continuous Dynamical Systems. Series S
8 Analysis and Mathematical Physics
7 Physica A
7 Mathematische Zeitschrift
7 Differential Geometry and its Applications
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 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
6 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
6 Nonlinear Analysis. Real World Applications
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
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Cited in 60 Fields

1,901 Dynamical systems and ergodic theory (37-XX)
1,475 Mechanics of particles and systems (70-XX)
586 Ordinary differential equations (34-XX)
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107 Biology and other natural sciences (92-XX)
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99 Systems theory; control (93-XX)
97 Difference and functional equations (39-XX)
91 Algebraic geometry (14-XX)
72 Statistical mechanics, structure of matter (82-XX)
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63 Number theory (11-XX)
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62 Calculus of variations and optimal control; optimization (49-XX)
53 Special functions (33-XX)
48 Computer science (68-XX)
48 Optics, electromagnetic theory (78-XX)
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42 Topological groups, Lie groups (22-XX)
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33 Relativity and gravitational theory (83-XX)
32 Geophysics (86-XX)
29 Probability theory and stochastic processes (60-XX)
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8 Group theory and generalizations (20-XX)
8 Algebraic topology (55-XX)
7 Harmonic analysis on Euclidean spaces (42-XX)
7 Statistics (62-XX)
7 Operations research, mathematical programming (90-XX)
6 General and overarching topics; collections (00-XX)
5 Potential theory (31-XX)
4 Associative rings and algebras (16-XX)
4 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