# zbMATH — the first resource for mathematics

## 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/11819http://www.turpion.org/php/homes/pa.phtml?jrnid=rdhttp://ics.org.ru/journals/rcd/ Predecessor: Regularnaya & Khaoticheskaya Dinamika Comments: Indexed cover-to-cover
 Documents Indexed: 1,004 Publications (since 1998) References Indexed: 661 Publications with 18,083 References.
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#### Latest Issues

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#### Authors

 92 Borisov, Alekseĭ Vladimirovich 79 Mamaev, Ivan Sergeevich 39 Kilin, Aleksandr Aleksandrovich 29 Tsyganov, Andreĭ Vladimirovich 26 Kozlov, Valeriĭ Vasil’evich 22 Kudryashov, Nikolaĭ Alekseevich 19 Bizyaev, Ivan Alekseevich 18 Kuznetsov, Sergey P. 14 Wiggins, Stephen 12 Bardin, Boris Sabirovich 12 Dragović, Vladimir 12 Gonchenko, Sergey V. 11 Markeev, Anatoliĭ Pavlovich 11 Przybylska, Maria 10 Morozov, Al’bert Dmitrievich 10 Turaev, Dmitry V. 9 Bolotin, Sergeĭ Vladimirovich 9 Ivanov, Aleksandr Pavlovich 9 Neĭshtadt, Anatoliĭ Iserovich 8 Grammaticos, Basil 8 Sevryuk, Mikhail Borisovich 8 Simó, Carles 8 Treshchev, Dmitriĭ Valer’evich 7 Bolsinov, Alexey V. 7 Cushman, Richard H. 7 Kazakov, Alexey O. 7 Kharlamov, Mikhail P. 7 Lerman, Lev 7 Maciejewski, Andrzej J. 7 O’Neil, Kevin Anthony 7 Ramani, Alfred 7 Rauch-Wojciechowski, Stefan 6 Albouy, Alain 6 Broer, Henk W. 6 Carton, Xavier J. 6 Chaplygin, Sergeĭ Alekseevich 6 Damianou, Pantelis Andrea 6 Dullin, Holger R. 6 Fassò, Francesco 6 Gajić, Borislav 6 Osipov, Grigory V. 6 Pivovarova, Elena Nikolaevna 6 Ryabov, Pavel Evgen’evich 6 Sokolovskiy, Mikhail A. 6 Vetchanin, Evgeniĭ Vladimirovich 6 Yehia, Hamad M. 5 Cabral, Hildeberto Eulalio 5 Chenciner, Alain 5 Demina, Maria V. 5 Fedorov, Yuri N. 5 Grines, Vyacheslav Zigmundovich 5 Kurakin, Leonid G. 5 Sataev, Igor’ Rustamovich 5 Shafarevich, Andreĭ Igorevich 4 Anishchenko, Vadim Semenovich 4 Bounemoura, Abed 4 Burov, Aleksandr Anatol’evich 4 Celletti, Alessandra 4 Chekina, Evgeniya Alekseevna 4 Chierchia, Luigi 4 Delshams, Amadeu 4 Elipe, Antonio 4 Gal’perin, G. A. 4 García-Naranjo, Luis C. 4 Guha, Partha 4 Guzzo, Massimiliano 4 Hanßmann, Heinz 4 Holmes, Philip J. 4 Inozemtsev, Vladimir I. 4 Karavaev, Yurĭ Leonidovich 4 Koiller, Jair 4 Lanchares, Víctor 4 Meiss, James D. 4 Miranda, Eva 4 Negrini, Piero 4 Novokshenov, Viktor Yur’evich 4 Pedroni, Marco 4 Pochinka, Olga Vital’evna 4 Radnović, Milena 4 Rudnev, Misha 4 Sachkov, Yuriĭ Leonidovich 4 Shilnikov, Andrey L. 4 Sinaĭ, Yakov Grigor’evich 4 Sinelshchikov, Dmitry I. 4 Verron, Jacques 4 Vidal, Claudio 4 Zhalnin, Alekseĭ Yur’evich 3 Afraimovich, Valentin S. 3 Allilueva, Anna I. 3 Ardentov, Andrei A. 3 Bates, Larry M. 3 Biswas, Anjan 3 Bunimovich, Leonid Abramovich 3 Combot, Thierry 3 Cordani, Bruno 3 Deryabin, Mikhail Vladimirovich 3 Dobrokhotov, Sergei Yurievich 3 Ezra, Gregory S. 3 Falqui, Gregorio 3 Féjoz, Jacques ...and 786 more Authors
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#### Fields

 654 Dynamical systems and ergodic theory (37-XX) 537 Mechanics of particles and systems (70-XX) 174 Ordinary differential equations (34-XX) 116 Fluid mechanics (76-XX) 78 Differential geometry (53-XX) 48 Partial differential equations (35-XX) 38 History and biography (01-XX) 28 Statistical mechanics, structure of matter (82-XX) 22 Mechanics of deformable solids (74-XX) 21 Global analysis, analysis on manifolds (58-XX) 21 Biology and other natural sciences (92-XX) 20 Quantum theory (81-XX) 20 Systems theory; control (93-XX) 19 Algebraic geometry (14-XX) 18 Numerical analysis (65-XX) 15 Difference and functional equations (39-XX) 14 Special functions (33-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 13 Optics, electromagnetic theory (78-XX) 10 Geophysics (86-XX) 9 Topological groups, Lie groups (22-XX) 8 Number theory (11-XX) 8 Measure and integration (28-XX) 8 Manifolds and cell complexes (57-XX) 7 General and overarching topics; collections (00-XX) 7 Operator theory (47-XX) 7 Probability theory and stochastic processes (60-XX) 6 Nonassociative rings and algebras (17-XX) 6 Computer science (68-XX) 6 Relativity and gravitational theory (83-XX) 5 Combinatorics (05-XX) 5 Functions of a complex variable (30-XX) 5 Convex and discrete geometry (52-XX) 4 Real functions (26-XX) 4 Several complex variables and analytic spaces (32-XX) 4 General topology (54-XX) 3 Commutative algebra (13-XX) 3 Approximations and expansions (41-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Field theory and polynomials (12-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Potential theory (31-XX) 2 Integral equations (45-XX) 2 Algebraic topology (55-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

763 Publications have been cited 4,820 times in 2,458 Documents Cited by Year
Invariant tori in non-degenerate nearly integrable Hamiltonian systems. Zbl 0992.37050
Rüssmann, H.
2001
Rolling of a rigid body on a plane and sphere. Hierarchy of dynamics. Zbl 1058.70009
Borisov, A. V.; Mamaev, I. S.
2002
Conservation laws, hierarchy of dynamics and explicit integration of nonholonomic systems. Zbl 1229.70038
Borisov, A. V.; Mamaev, I. S.
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.
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.
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.
2013
Richness of chaotic dynamics in nonholonomic models of a Celtic stone. Zbl 1417.37222
Gonchenko, Alexander S.; Gonchenko, Sergey V.; Kazakov, Alexey O.
2013
How to control Chaplygin’s sphere using rotors. Zbl 1264.37016
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S.
2012
On a ball’s rolling on a horizontal plane. Translated from the Russian 1903 original. Zbl 1058.70003
Chaplygin, S. A.
2002
Invariant curves of analytic perturbed nontwist area preserving maps. Zbl 0932.37048
Simó, C.
1998
How to control the Chaplygin ball using rotors. II. Zbl 1303.37021
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S.
2013
The problem of drift and recurrence for the rolling Chaplygin ball. Zbl 1286.70007
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S.
2013
Trajectory equivalence and corresponding integrals. Zbl 0928.37003
Matveev, V. S.; Topalov, P. Ĭ.
1998
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.
2014
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.
2012
Hamiltonization of non-holonomic systems in the neighborhood of invariant manifolds. Zbl 1309.37049
Bolsinov, A. V.; Borisov, A. V.; Mamaev, I. S.
2011
The dynamics of Chaplygin ball: the qualitative and computer analysis. Zbl 1074.70513
Kilin, A. A.
2001
On the integration theory of equations of nonholonomic mechanics. Zbl 1006.37040
Kozlov, V. V.
2002
Chaplygin ball over a fixed sphere: an explicit integration. Zbl 1229.37080
Borisov, A. V.; Fedorov, Yu. N.; Mamaev, I. S.
2008
The Jacobi integral in nonholonomic mechanics. Zbl 1367.70036
Borisov, Alexey V.; Mamaev, Ivan. S.; Bizyaev, Ivan. A.
2015
Popular ansatz methods and solitary wave solutions of the Kuramoto-Sivashinsky equation. Zbl 1229.34008
Kudryashov, N. A.; Soukharev, M. B.
2009
On a paper of Moeckel on central configurations. Zbl 1061.70006
Albouy, A.
2003
Rubber rolling over a sphere. Zbl 1229.37089
Koiller, Jair; Ehlers, Kurt
2007
Asymptotic stability and associated problems of dynamics of falling rigid body. Zbl 1229.37107
Borisov, A. V.; Kozlov, V. V.; Mamaev, I. S.
2007
Symmetries and reduction in nonholonomic mechanics. Zbl 1342.37001
Borisov, Alexey V.; Mamaev, Ivan S.
2015
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.
2006
The dynamics and control of a spherical robot with an internal omniwheel platform. Zbl 1317.93192
Karavaev, Yury L.; Kilin, Alexander A.
2015
Strange attractors and mixed dynamics in the problem of an unbalanced rubber ball rolling on a plane. Zbl 1417.37223
Kazakov, Alexey O.
2013
Two-body problem on a sphere. Reduction, stochasticity, periodic orbits. Zbl 1065.37058
Borisov, A. V.; Mamaev, I. S.; Kilin, A. A.
2004
Hamiltonicity and integrability of the Suslov problem. Zbl 1277.70008
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S.
2011
Quasi-periodic bifurcations of invariant circles in low-dimensional dissipative dynamical systems. Zbl 1225.37087
Vitolo, Renato; Broer, Henk; Simó, Carles
2011
On integrability of Hirota-Kimura type discretizations. Zbl 1258.37067
Petrera, Matteo; Pfadler, Andreas; Suris, Yuri B.
2011
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.
2014
Dynamics of rolling disk. Zbl 1112.37320
Borisov, A. V.; Mamaev, I. S.; Kilin, A. A.
2003
Solitary and periodic solutions of the generalized Kuramoto-Sivashinsky equation. Zbl 1229.35229
Kudryashov, N. A.
2008
Bifurcations of Liouville tori in elliptical billiards. Zbl 1229.37065
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.
2013
Spherical robot of combined type: dynamics and control. Zbl 1339.93081
Kilin, Alexander A.; Pivovarova, Elena N.; Ivanova, Tatyana B.
2015
Dynamics and statics of vortices on a plane and a sphere. I. Zbl 0934.76014
Borisov, A. V.; Pavlov, A. E.
1998
Higher dimensional continued fractions. Zbl 1044.11596
Arnold, V. I.
1998
Billiard dynamics: a survey with the emphasis on open problems. Zbl 1023.37022
Gutkin, E.
2003
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.
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.
2012
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.
2002
Nekhoroshev-stability of $$L4$$ and $$L5$$ in the spatial restricted three-body problem. Zbl 0934.70010
Benettin, G.; Fassò, F.; Guzzo, M.
1998
Bi-Hamiltonian structures and singularities of integrable systems. Zbl 1229.37092
Bolsinov, A. V.; Oshemkov, A. A.
2009
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.
2012
Simultaneous separation for the Neumann and Chaplygin systems. Zbl 1325.37052
Tsiganov, Andrey
2015
The Chaplygin sleigh with parametric excitation: chaotic dynamics and nonholonomic acceleration. Zbl 1398.37056
Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S.
2017
Mock (false) theta functions as quantum invariants. Zbl 1133.57301
Hikami, K.
2005
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.
1998
Geometric integration via multi-space. Zbl 1068.65092
Kim, Pilwon; Olver, Peter J.
2004
An integrability of the problem on motion of cylinder and vortex in the ideal fluid. Zbl 1112.37315
Borisov, A. V.; Mamaev, I. S.
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.
2003
The dynamics of orbits in a potential field of a solid circular ring. Zbl 1128.70308
Broucke, R. A.; Elipe, A.
2005
KAM à la R. Zbl 1219.37044
Pöschel, Jürgen
2011
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.
2015
On the Hadamard-Hamel problem and the dynamics of wheeled vehicles. Zbl 1367.70034
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S.
2015
Asymmetric discrete Painlevé equations. Zbl 0983.34083
Kruskal, M. D.; Tamizhmani, K. M.; Grammaticos, B.; Ramani, A.
2000
Two variations on the theme of Lamb–Chaplygin: supersmooth dipole and rotating multipoles. Zbl 1102.76008
Kizner, Ziv; Khvoles, R.
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.
2005
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.
2007
Multiparticle systems. The algebra of integrals and integrable cases. Zbl 1229.37106
Borisov, A. V.; Kilin, A. A.; Mamaev, I. S.
2009
Stability of Thomson’s configurations of vortices on a sphere. Zbl 0967.76023
Borisov, A. V.; Kilin, A. A.
2000
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.
2004
Rolling of a non-homogeneous ball over a sphere without slipping and twisting. Zbl 1229.37081
Borisov, A. V.; Mamaev, I. S.
2007
Higher Painlevé transcendents as special solutions of some nonlinear integrable hierarchies. Zbl 1328.35193
Kudryashov, Nikolay A.
2014
The Euler-Jacobi-Lie integrability theorem. Zbl 1283.34035
Kozlov, Valery V.
2013
Bifurcation diagrams of the Kowalevski top in two constant fields. Zbl 1133.70306
Kharlamov, M. P.
2005
Euler configurations and quasi-polynomial systems. Zbl 1229.70032
Albouy, A.; Fu, Y.
2007
A generalization of Chaplygin’s reducibility theorem. Zbl 1229.37087
Fernandez, O. E.; Mestdag, T.; Bloch, A. M.
2009
Dynamics of heton-like vortices. Zbl 1164.76423
Gryanik, V. M.; Sokolovskiy, M. A.; Verron, J.
2006
Dynamics of three vortices on a plane and a sphere. II: General compact case. Zbl 0933.76016
Borisov, A. V.; Lebedev, V. G.
1998
Remarks on the definition of hyperbolic tori of Hamiltonian systems. Zbl 1005.70015
Bolotin, S. V.; Treschev, D. V.
2000
Periodic flows, rank-two Poisson structures, and nonholonomic mechanics. Zbl 1077.37043
Fassò, F.; Giacobbe, A.; Sansonetto, N.
2005
On cascades of elliptic periodic points in two-dimensional symplectic maps with homoclinic tangencies. Zbl 1229.37054
Gonchenko, M. S.; Gonchenko, S. V.
2009
The type numbers of closed geodesics. Zbl 1229.58015
Taimanov, I. A.
2010
Plate falling in a fluid: regular and chaotic dynamics of finite-dimensional models. Zbl 1327.34089
Kuznetsov, Sergey P.
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.
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
2013
Paul Painlevé and his contribution to science. Zbl 1333.01025
Borisov, Alexey V.; Kudryashov, Nikolay A.
2014
The dynamics of an articulated $$n$$-trailer vehicle. Zbl 1342.37064
Bravo-Doddoli, Alejandro; García-Naranjo, Luis C.
2015
Dynamics and control of an omniwheel vehicle. Zbl 1367.70033
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S.
2015
Linear Hamiltonian systems: quadratic integrals, singular subspaces and stability. Zbl 1400.37061
Kozlov, Valery V.
2018
Aspects of the planetary Birkhoff normal form. Zbl 1320.70007
Pinzari, Gabriella
2013
A Lie algebraic generalization of the Mumford system, its symmetries and its multi-Hamiltonian structure. Zbl 0964.37033
Pedroni, M.; Vanhaecke, P.
1998
Lie algebras in vortex dynamics and celestial mechanics. IV. Zbl 1076.76513
Bolsinov, A. V.; Borisov, A. V.; Mamaev, I. S.
1999
Moving frames and joint differential invariants. Zbl 1014.53013
Olver, P. J.
1999
The ringing of Euler’s disk. Zbl 1013.70005
Kessler, P.; O’Reilly, O. M.
2002
Stability and bifurcations for the $$N+1$$ vortex problem on the sphere. Zbl 1150.76348
Cabral, H. E.; Meyer, K. R.; Schmidt, D. C.
2003
On detachment conditions in the problem on the motion of a rigid body on a rough plane. Zbl 1229.70015
Ivanov, A. P.
2008
Integrable Lotka-Volterra systems. Zbl 1229.37097
Bogoyavlenskij, O. I.
2008
Bifurcation analysis and the Conley index in mechanics. Zbl 1252.76055
Bolsinov, Alexey V.; Borisov, Alexey V.; Mamaev, Ivan S.
2012
Comments on the paper by A. V. Borisov, A. A. Kilin, I. S. Mamaev “How to control the Chaplygin ball using rotors. II”. Zbl 1353.70059
Ivanova, Tatiana B.; Pivovarova, Elena N.
2014
On the connection of the quadratic Liénard equation with an equation for the elliptic functions. Zbl 1383.34003
Kudryashov, Nikolay A.; Sinelshchikov, Dmitry I.
2015
Rigorous and accurate enclosure of invariant manifolds on surfaces. Zbl 1203.37030
Wittig, A.; Berz, M.; Grote, J.; Makino, K.; Newhouse, S.
2010
Thick attractors of step skew products. Zbl 1225.37033
Ilyashenko, Yu.
2010
Poisson structures for geometric curve flows in semi-simple homogeneous spaces. Zbl 1229.22018
Marí Beffa, G.; Olver, P. J.
2010
On the problem of motion of vortex sources on a plane. Zbl 1164.37353
Borisov, A. V.; Mamaev, I. S.
2006
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
2017
A new $$(3+1)$$-dimensional Hirota bilinear equation: its Bäcklund transformation and rational-type solutions. Zbl 1450.37065
2020
Dynamics of rubber Chaplygin sphere under periodic control. Zbl 1437.37082
Mamaev, Ivan S.; Vetchanin, Evgeny V.
2020
Lax pairs and special polynomials associated with self-similar reductions of Sawada – Kotera and Kupershmidt equations. Zbl 1441.34096
Kudryashov, Nikolay A.
2020
Kovalevskaya exponents, weak Painlevé property and integrability for quasi-homogeneous differential systems. Zbl 07241976
Huang, Kaiyin; Shi, Shaoyun; Li, Wenlei
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
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.
2020
Periodic controls in step 2 strictly convex sub-Finsler problems. Zbl 07196170
Sachkov, Yuri L.
2020
Experimental results versus computer simulations of noisy Poincaré maps in an intermittency scenario. Zbl 1450.37072
2020
On the stability of potential systems under the action of non-conservative positional forces. Zbl 1464.70013
Bulatovic, Ranislav M.
2020
Caustics of Poncelet polygons and classical extremal polynomials. Zbl 1432.37055
2019
Hamiltonization and separation of variables for a Chaplygin ball on a rotating plane. Zbl 1433.37065
Tsiganov, Andrey V.
2019
Sub-Finsler geodesics on the Cartan group. Zbl 1412.49084
Ardentov, Andrei A.; Le Donne, Enrico; Sachkov, Yuri L.
2019
Rational and special solutions for some Painlevé hierarchies. Zbl 1415.34132
Kudryashov, Nikolay A.
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.
2019
The Kepler problem: polynomial algebra of nonpolynomial first integrals. Zbl 1459.70041
Tsiganov, Andrey V.
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.
2019
The dynamics of a Chaplygin sleigh with an elastic internal rotor. Zbl 1412.37066
2019
Qualitative analysis of the nonholonomic rolling of a rubber wheel with sharp edges. Zbl 1423.70013
Kilin, Alexander A.; Pivovarova, Elena N.
2019
On the motions of one near-autonomous Hamiltonian system at a 1:1:1 resonance. Zbl 1428.70037
Kholostova, Olga V.
2019
V. I. Arnold’s “Pointwise” KAM theorem. Zbl 1435.37085
Chierchia, L.; Koudjinan, C. E.
2019
Roaming at constant kinetic energy: Chesnavich’s model and the Hamiltonian isokinetic thermostat. Zbl 1436.37075
Krajňák, Vladimír; Ezra, Gregory S.; Wiggins, Stephen
2019
Periodic billiards within conics in the Minkowski plane and Akhiezer polynomials. Zbl 1436.37036
2019
Evolution of Lagrangian manifolds and asymptotic solutions to the linearized equations of gas dynamics. Zbl 1412.35060
Allilueva, Anna I.; Shafarevich, Andrei I.
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.
2019
Combinatorial Ricci flow for degenerate circle packing metrics. Zbl 1431.52031
Pepa, Ruslan Yu.; Popelensky, Theodore Yu.
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
2019
Stability of periodic solutions of the $$N$$-vortex problem in general domains. Zbl 1436.37065
Gebhard, Björn; Ortega, Rafael
2019
Jumps of energy near a homoclinic set of a slowly time dependent Hamiltonian system. Zbl 1435.37084
Bolotin, Sergey V.
2019
Twisted states in a system of nonlinearly coupled phase oscillators. Zbl 1442.45003
Bolotov, Dmitry; Bolotov, Maxim; Smirnov, Lev; Osipov, Grigory; Pikovsky, Arkady
2019
Topaj-Pikovsky involution in the Hamiltonian lattice of locally coupled oscillators. Zbl 1435.37099
Kruglov, Vyacheslav P.; Kuznetsov, Sergey P.
2019
On the Chaplygin sphere in a magnetic field. Zbl 1435.37093
Borisov, Alexey V.; Tsiganov, Andrey V.
2019
Integrability of the $$n$$-dimensional axially symmetric Chaplygin sphere. Zbl 1437.37081
García-Naranjo, Luis C.
2019
Nonholonomic Noetherian symmetries and integrals of the Routh sphere and the Chaplygin ball. Zbl 1437.37079
Bustamante, Miguel D.; Lynch, Peter
2019
Vortex pairs on the triaxial ellipsoid: axis equilibria stability. Zbl 1457.76078
Koiller, Jair; Castilho, César; Rodrigues, Adriano Regis
2019
Integrability and chaos in vortex lattice dynamics. Zbl 1458.76021
Kilin, Alexander A.; Artemova, Elizaveta M.
2019
Linear Hamiltonian systems: quadratic integrals, singular subspaces and stability. Zbl 1400.37061
Kozlov, Valery V.
2018
Exotic dynamics of nonholonomic roller racer with periodic control. Zbl 1412.37064
Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S.
2018
Synchronization of Chimera states in a network of many unidirectionally coupled layers of discrete maps. Zbl 1411.90070
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
2018
Asymptotic and exact solutions of the Fitzhugh-Nagumo model. Zbl 1401.34004
Kudryashov, Nikolay A.
2018
Dynamics-based motion planning for a pendulum-actuated spherical rolling robot. Zbl 1411.70021
Bai, Yang; Svinin, Mikhail; Yamamoto, Motoji
2018
Exact solutions and integrability of the Duffing-van der Pol equation. Zbl 1425.34105
Kudryashov, Nikolay A.
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.
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.
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.
2018
Regular and chaotic dynamics of a Chaplygin sleigh due to periodic switch of the nonholonomic constraint. Zbl 1400.37076
Kuznetsov, Sergey P.
2018
Persistence properties of normally hyperbolic Tori. Zbl 1400.37067
Broer, Henk; Hanßmann, Heinz; Wagener, Florian
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.
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.
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.
2018
Equivariant classification of $$b^m$$-symplectic surfaces. Zbl 1412.53109
Miranda, Eva; Planas, Arnau
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.
2018
Choreographies in the $$n$$-vortex problem. Zbl 1415.37077
Calleja, Renato C.; Doedel, Eusebius J.; García-Azpeitia, Carlos
2018
Global bifurcations in generic one-parameter families on $$\mathbb{S}^2$$. Zbl 1414.34025
Starichkova, Valeriia
2018
Recent results on the dynamics of higher-dimensional Hénon maps. Zbl 1400.37033
Anastassiou, Stavros; Bountis, Anastasios; Bäcker, Arnd
2018
A nonholonomic model of the Paul trap. Zbl 1400.37075
Borisov, Alexey V.; Kilin, Alexander A.; Mamaev, Ivan S.
2018
Dynamics on the double Morse potential: a paradigm for roaming reactions with no saddle points. Zbl 1398.37055
Carpenter, Barry K.; Ezra, Gregory S.; Farantos, Stavros C.; Kramer, Zeb C.; Wiggins, Stephen
2018
Normalization through invariants in $$n$$-dimensional Kepler problems. Zbl 07048223
Meyer, Kenneth R.; Palacián, Jesús F.; Yanguas, Patricia
2018
Heisenberg model in pseudo-Euclidean spaces. II. Zbl 1411.70026
2018
Dipole and multipole flows with point vortices and vortex sheets. Zbl 1411.76019
O&rsquo;Neil, Kevin A.
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.
2018
On the “hidden” harmonics associated to best approximants due to quasi-periodicity in splitting phenomena. Zbl 1410.37023
Fontich, Ernest; Simó, Carles; Vieiro, Arturo
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
2018
On discretization of the Euler top. Zbl 1412.37060
Tsiganov, Andrey V.
2018
Suslov problem with the Clebsch-Tisserand potential. Zbl 1434.70036
Hu, Shengda; Santoprete, Manuele
2018
Complete set of invariants for a Bykov attractor. Zbl 1401.34036
Carvalho, Maria; Rodrigues, Alexandre P.
2018
The spectrum of reversible minimizers. Zbl 1400.37074
Ureña, Antonio J.
2018
On a convex embedding of the Euler problem of two fixed centers. Zbl 1442.37075
Kim, Seongchan
2018
Uniform boundedness of iterates of analytic mappings implies linearization: a simple proof and extensions. Zbl 1402.32018
de la Llave, Rafael
2018
Local rigidity of Diophantine translations in higher-dimensional tori. Zbl 1398.37054
Karaliolios, Nikolaos
2018
Zeroth Poisson homology, foliated cohomology and perfect Poisson manifolds. Zbl 1403.53070
Martínez-Torres, David; Miranda, Eva
2018
Multiple reductions, foliations and the dynamics of cluster maps. Zbl 1404.53105
Cruz, Inês; Mena-Matos, Helena; Sousa-Dias, M. Esmeralda
2018
Hyperbolic chaos in systems based on Fitzhugh-Nagumo model neurons. Zbl 1410.37037
Kuznetsov, Sergey P.; Sedova, Yuliya V.
2018
Generalized contour dynamics: a review. Zbl 1411.76018
Llewellyn Smith, Stefan G.; Chang, Ching; Chu, Tianyi; Blyth, Mark; Hattori, Yuji; Salman, Hayder
2018
An invariant measure and the probability of a fall in the problem of an inhomogeneous disk rolling on a plane. Zbl 1410.37059
Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S.
2018
Embedding the Kepler problem as a surface of revolution. Zbl 1411.70008
Moeckel, Richard
2018
Finding the complement of the invariant manifolds transverse to a given foliation for a 3D flow. Zbl 1412.37058
MacKay, Robert S.
2018
Integrable nonsmooth nonholonomic dynamics of a rubber wheel with sharp edges. Zbl 1429.70002
Kilin, Alexander A.; Pivovarova, Elena N.
2018
The Chaplygin sleigh with parametric excitation: chaotic dynamics and nonholonomic acceleration. Zbl 1398.37056
Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S.
2017
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
2017
The inertial motion of a roller racer. Zbl 1381.37076
Bizyaev, Ivan A.
2017
“Coherence-incoherence” transition in ensembles of nonlocally coupled chaotic oscillators with nonhyperbolic and hyperbolic attractors. Zbl 1376.37078
Semenova, Nadezhda I.; Rybalova, Elena V.; Strelkova, Galina I.; Anishchenko, Vadim S.
2017
Bäcklund transformations for the nonholonomic Veselova system. Zbl 1375.37157
Tsiganov, Andrey V.
2017
Integrable discretization and deformation of the nonholonomic Chaplygin ball. Zbl 1383.37054
Tsiganov, Andrey V.
2017
Dynamics of two point vortices in an external compressible shear flow. Zbl 1401.76039
Vetchanin, Evgeny V.; Mamaev, Ivan S.
2017
Maxwell strata and cut locus in the sub-Riemannian problem on the Engel group. Zbl 1401.76036
Ardentov, Andrei A.; Sachkov, Yuri L.
2017
The Hess-Appelrot case and quantization of the rotation number. Zbl 1370.70023
Bizyaev, Ivan A.; Borisov, Alexey V.; Mamaev, Ivan S.
2017
The rolling motion of a truncated ball without slipping and spinning on a plane. Zbl 1410.70010
Kilin, Alexander A.; Pivovarova, Elena N.
2017
Periodic orbits in the restricted three-body problem and Arnold’s $$J^+$$-invariant. Zbl 1411.53005
Cieliebak, Kai; Frauenfelder, Urs; van Koert, Otto
2017
An inhomogeneous Chaplygin sleigh. Zbl 1404.37073
Borisov, Alexey V.; Mamaev, Ivan S.
2017
Integrable deformations of the Bogoyavlenskij-Itoh Lotka-Volterra systems. Zbl 1430.37072
Evripidou, C. A.; Kassotakis, P.; Vanhaecke, P.
2017
On the constructive algorithm for stability analysis of an equilibrium point of a periodic Hamiltonian system with two degrees of freedom in the second-order resonance case. Zbl 1437.70029
Bardin, Boris S.; Chekina, Evgeniya A.
2017
Bifurcation analysis of the dynamics of two vortices in a Bose-Einstein condensate. the case of intensities of opposite signs. Zbl 1433.70006
Sokolov, Sergei V.; Ryabov, Pavel E.
2017
On integrability of certain rank 2 sub-Riemannian structures. Zbl 1390.37096
Kruglikov, Boris S.; Vollmer, Andreas; Lukes-Gerakopoulos, Georgios
2017
Arnold diffusion for a complete family of perturbations. Zbl 1384.37076
2017
A study of the motions of an autonomous Hamiltonian system at a 1:1 resonance. Zbl 1433.70032
Kholostova, Olga V.; Safonov, Alexey I.
2017
Equilibrium for a combinatorial Ricci flow with generalized weights on a tetrahedron. Zbl 1381.53123
Pepa, Ruslan Yu.; Popelensky, Theodore Yu.
2017
Normalization in Lie algebras via mould calculus and applications. Zbl 1383.37049
Paul, Thierry; Sauzin, David
2017
Diffusion and drift in volume-preserving maps. Zbl 1384.37077
Guillery, Nathan; Meiss, James D.
2017
Degenerate billiards in celestial mechanics. Zbl 1384.37046
Bolotin, Sergey V.
2017
...and 663 more Documents
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#### Cited by 2,421 Authors

 105 Borisov, Alekseĭ Vladimirovich 96 Mamaev, Ivan Sergeevich 58 Kudryashov, Nikolaĭ Alekseevich 56 Tsyganov, Andreĭ Vladimirovich 45 Kilin, Aleksandr Aleksandrovich 33 Bizyaev, Ivan Alekseevich 26 Kozlov, Valeriĭ Vasil’evich 25 Xu, Junxiang 23 Gonchenko, Sergey V. 23 Przybylska, Maria 22 Kuznetsov, Sergey P. 22 Llibre, Jaume 21 Matveev, Vladimir S. 21 Simó, Carles 21 Wiggins, Stephen 20 Turaev, Dmitry V. 20 Zhang, Dongfeng 19 Broer, Henk W. 19 Vidal, Claudio 18 Dragović, Vladimir 18 Kazakov, Alexey O. 17 Bolsinov, Alexey V. 17 García-Naranjo, Luis C. 17 Maciejewski, Andrzej J. 17 Vetchanin, Evgeniĭ Vladimirovich 16 Sinelshchikov, Dmitry I. 15 Bardin, Boris Sabirovich 15 Dullin, Holger R. 15 Ryabov, Pavel Evgen’evich 14 Bounemoura, Abed 14 Gonchenko, Marina S. 14 Kurakin, Leonid G. 14 Mireles-James, Jason D. 13 Delshams, Amadeu 12 Grammaticos, Basil 12 Guzzo, Massimiliano 12 Hanßmann, Heinz 12 Kizner, Ziv 12 Meiss, James D. 12 Palacián, Jesús F. 12 Ramani, Alfred 12 Valiquette, Francis 12 Yanguas, Patricia 11 Pinzari, Gabriella 10 Ivanov, Aleksandr Pavlovich 10 Newton, Paul K. 10 Petrera, Matteo 10 Pivovarova, Elena Nikolaevna 10 Sansottera, Marco 10 Sataev, Igor’ Rustamovich 10 Sokolov, Sergeĭ Viktorovich 9 Corbera, Montserrat 9 de la Llave, Rafael 9 Fassò, Francesco 9 Fedorov, Yuri N. 9 Gutkin, Eugene 9 Kanso, Eva Adnan 9 Karavaev, Yurĭ Leonidovich 9 Rozikov, Utkir A. 9 Suris, Yuri Borisovich 8 Anishchenko, Vadim Semenovich 8 Balseiro, Paula 8 Berti, Massimiliano 8 Bloch, Anthony M. 8 Bolotin, Sergeĭ Vladimirovich 8 Damianou, Pantelis Andrea 8 Ferrer, Sebastián 8 Gonchenko, Alexander S. 8 Jovanović, Božidar Žarko 8 Kharlamov, Mikhail P. 8 Koiller, Jair 8 Locatelli, Ugo 8 Miranda, Eva 8 Radnović, Milena 8 Santoprete, Manuele 8 Sevryuk, Mikhail Borisovich 8 Valls Anglés, Cláudia 8 Vanhaecke, Pol 8 Vieiro, Arturo 7 Burov, Aleksandr Anatol’evich 7 Calleja, Renato C. 7 Demina, Maria V. 7 Elipe, Antonio 7 Falqui, Gregorio 7 Fortunati, Alessandro 7 Ivanov, Alexey V. 7 Kaloshin, Vadim Yu. 7 Kruglov, Vyacheslav Pavlovich 7 Lăzureanu, Cristian 7 Li, Dong 7 Long, Yiming 7 Markeev, Anatoliĭ Pavlovich 7 Marsden, Jerrold Eldon 7 Mikishanina, Evgeniya Arifzhanovna 7 Morozov, Al’bert Dmitrievich 7 Nguyen Tien Zung 7 Ostrovskaya, Irina V. 7 Pérez-Chavela, Ernesto 7 Shilnikov, Andrey L. 7 Si, Jianguo ...and 2,321 more Authors
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#### Cited in 333 Journals

 388 Regular and Chaotic Dynamics 83 Chaos 80 Physica D 70 Journal of Mathematical Physics 66 Celestial Mechanics and Dynamical Astronomy 61 Journal of Differential Equations 61 Nelineĭnaya Dinamika 59 Journal of Geometry and Physics 54 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 42 Journal of Nonlinear Science 41 Communications in Nonlinear Science and Numerical Simulation 37 Nonlinearity 37 Theoretical and Mathematical Physics 35 Communications in Mathematical Physics 33 Journal of Mathematical Analysis and Applications 33 Discrete and Continuous Dynamical Systems 29 Applied Mathematics and Computation 28 Journal of Mathematical Sciences (New York) 27 Journal of Applied Mathematics and Mechanics 26 Physics Letters. A 24 Journal of Fluid Mechanics 24 Nonlinear Dynamics 24 Journal of Geometric Mechanics 22 Russian Journal of Mathematical Physics 22 Doklady Mathematics 22 Proceedings of the Steklov Institute of Mathematics 21 Archive for Rational Mechanics and Analysis 21 SIAM Journal on Applied Dynamical Systems 20 Journal of Dynamics and Differential Equations 19 Qualitative Theory of Dynamical Systems 18 Mathematical Notes 17 Journal of Nonlinear Mathematical Physics 16 Proceedings of the American Mathematical Society 16 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 15 Moscow University Mathematics Bulletin 14 Letters in Mathematical Physics 14 Chaos, Solitons and Fractals 14 Transactions of the American Mathematical Society 14 Ergodic Theory and Dynamical Systems 12 Advances in Mathematics 12 Journal of Physics A: Mathematical and Theoretical 11 Reports on Mathematical Physics 11 Theoretical and Computational Fluid Dynamics 11 Sbornik: Mathematics 11 Discrete and Continuous Dynamical Systems. Series B 10 Journal of Statistical Physics 10 Acta Applicandae Mathematicae 10 Indagationes Mathematicae. New Series 10 Physics of Fluids 10 Journal of Dynamical and Control Systems 10 Theoretical and Applied Mechanics 9 Journal of Computational Dynamics 8 Acta Mechanica 8 Russian Mathematical Surveys 8 Annales de l’Institut Fourier 8 Applied Mathematics Letters 8 Multibody System Dynamics 8 Lobachevskii Journal of Mathematics 8 International Journal of Geometric Methods in Modern Physics 8 Discrete and Continuous Dynamical Systems. Series S 7 Geometriae Dedicata 7 Inventiones Mathematicae 7 Siberian Mathematical Journal 7 Differential Geometry and its Applications 7 European Journal of Control 7 Dynamical Systems 7 Journal of Theoretical Biology 7 Mechanics of Solids 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Computational Mathematics and Mathematical Physics 6 Journal of Difference Equations and Applications 6 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 6 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki 6 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 6 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 5 Prikladnaya Matematika i Mekhanika 5 Journal of Computational and Applied Mathematics 5 Advances in Applied Mathematics 5 Applied Mathematical Modelling 5 Mathematical Physics, Analysis and Geometry 5 Journal of High Energy Physics 5 Annales Henri Poincaré 5 Differential Equations 5 Arnold Mathematical Journal 4 General Relativity and Gravitation 4 Israel Journal of Mathematics 4 Nuclear Physics. B 4 Reviews in Mathematical Physics 4 Journal of Algebra 4 Mathematische Annalen 4 Mathematics and Computers in Simulation 4 Mathematische Zeitschrift 4 Theoretical Computer Science 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Bulletin of the American Mathematical Society. New Series 4 Vestnik St. Petersburg University. Mathematics 4 Calculus of Variations and Partial Differential Equations 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Journal of Mathematical Fluid Mechanics 4 Nonlinear Analysis. Real World Applications ...and 233 more Journals
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#### Cited in 59 Fields

 1,369 Dynamical systems and ergodic theory (37-XX) 1,067 Mechanics of particles and systems (70-XX) 423 Ordinary differential equations (34-XX) 229 Differential geometry (53-XX) 225 Fluid mechanics (76-XX) 210 Partial differential equations (35-XX) 84 Numerical analysis (65-XX) 76 Quantum theory (81-XX) 72 Biology and other natural sciences (92-XX) 72 Systems theory; control (93-XX) 70 Global analysis, analysis on manifolds (58-XX) 59 Algebraic geometry (14-XX) 58 Difference and functional equations (39-XX) 48 Statistical mechanics, structure of matter (82-XX) 46 Mechanics of deformable solids (74-XX) 44 Number theory (11-XX) 42 Nonassociative rings and algebras (17-XX) 42 Special functions (33-XX) 40 Calculus of variations and optimal control; optimization (49-XX) 31 Operator theory (47-XX) 31 Computer science (68-XX) 23 Topological groups, Lie groups (22-XX) 20 Measure and integration (28-XX) 19 Probability theory and stochastic processes (60-XX) 19 Optics, electromagnetic theory (78-XX) 19 Geophysics (86-XX) 17 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 16 Relativity and gravitational theory (83-XX) 16 Astronomy and astrophysics (85-XX) 15 Combinatorics (05-XX) 15 Several complex variables and analytic spaces (32-XX) 15 Manifolds and cell complexes (57-XX) 13 Real functions (26-XX) 13 Functions of a complex variable (30-XX) 13 Information and communication theory, circuits (94-XX) 12 Approximations and expansions (41-XX) 10 History and biography (01-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 10 Convex and discrete geometry (52-XX) 10 General topology (54-XX) 8 Commutative algebra (13-XX) 7 Field theory and polynomials (12-XX) 7 Group theory and generalizations (20-XX) 7 Functional analysis (46-XX) 7 Classical thermodynamics, heat transfer (80-XX) 7 Operations research, mathematical programming (90-XX) 5 General and overarching topics; collections (00-XX) 5 Geometry (51-XX) 5 Statistics (62-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 Harmonic analysis on Euclidean spaces (42-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)