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Bloch, Anthony M.

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Author ID: bloch.anthony-m Recent zbMATH articles by "Bloch, Anthony M."
Published as: Bloch, Anthony M.; Bloch, A. M.; Bloch, Anthony; Bloch, A.; Block, Anthony M.; Bloch, Antony M.
External Links: MGP
Documents Indexed: 152 Publications since 1985, including 4 Books
all top 5

Co-Authors

18 single-authored
22 Marsden, Jerrold Eldon
20 Ratiu, Tudor Stefan
14 Crouch, Peter E.
14 Zenkov, Dmitry V.
7 Adams, Fred C.
7 Brockett, Roger Ware
7 Fernandez, Oscar E.
7 Gupta, Rohit
7 Krishnaprasad, P.s.
7 McClamroch, N. Harris
7 Rojo, Alberto G.
6 Colombo, Leonardo Jesus
6 Leonard, Naomi Ehrich
6 Sanyal, Amit K.
5 Iserles, Arieh
4 Flaschka, Hermann
4 Kolmanovsky, Ilya V.
4 Maruskin, Jared M.
4 Ohsawa, Tomoki
3 Chang, Dong Eui
3 Drakunov, Sergey V.
3 Gay-Balmaz, François
3 Gekhtman, Michael I.
3 Hussein, Islam I.
3 Kodama, Yuji
3 Leok, Melvin
3 Rangan, Chitra
3 Reyhanoglu, Mahmut
3 Scheeres, Daniel J.
2 Bättig, Daniel
2 Guillot, Jean-Claude
2 Hagerty, Patrick
2 Kalabić, Uroš V.
2 Kappeler, Thomas
2 Lum, Kai-Yew
2 Mestdag, Tom
2 Nordkvist, Nikolaj
2 Rooney, Patrick
2 Scheurle, Jürgen
2 Shen, Jinglai
2 Shi, Donghua
2 Weinstein, Michael I.
2 Woolsey, Craig A.
1 Altafini, Claudio
1 Baillieul, John B.
1 Baras, John S.
1 Berchenko-Kogan, Yakov
1 Brînzănescu, Vasile
1 Camarinha, Margarida
1 Cendra, Hernán
1 Chorin, Alexandre Joel
1 Dellnitz, Michael
1 Desbrun, Mathieu
1 Di Cairano, Stefano
1 Golse, François
1 Golubitsky, Martin A.
1 Gotay, Mark J.
1 Guibout, Vincent
1 Gurfil, Pini
1 Isenberg, Jim
1 James, Matthew R.
1 Jiménez, Fernando
1 Keyfitz, Barbara Lee
1 Kinyon, Michael K.
1 Koelling, Melinda E.
1 Krupka, Demeter
1 Kvalheim, Matthew D.
1 Lagarias, Jeffrey C.
1 Lin, Yu
1 Loria, Antonio
1 Marsden, Alison L.
1 Martín de Diego, David
1 Montgomery, Richard
1 Morrison, Philip J.
1 Moseley, Christopher G.
1 Murray, Richard M.
1 Olver, Peter John
1 Ortiz, Michael
1 Ould el Hadrami, Mohamed
1 Park, Chandeok
1 Paul, Thierry
1 Puiggalí, Marta Farré
1 Rajapakse, Indika
1 Raugel, Geneviève
1 Razavi, Hamed
1 Reddy, Chevva Konda
1 Rouchon, Pierre
1 Ryan, Robert R.
1 Sánchez de Alvares, Gloria
1 Sánchez de Alvarez, Gloria
1 Schneider, David A.
1 Surana, Amit
1 Titi, Edriss Saleh
1 Uribe, Alejandro
1 Weinstein, Alan David
1 Willems, Jan Camiel
1 Wong, Wing Shing
1 Yau, Stephen Shing-Toung
1 Yoshimura, Hiroaki
1 Zhang, Yu
all top 5

Serials

10 IEEE Transactions on Automatic Control
5 Communications in Mathematical Physics
5 Journal of Mathematical Physics
5 SIAM Journal on Control and Optimization
5 Systems & Control Letters
5 Journal of Geometric Mechanics
4 Automatica
4 International Journal of Robust and Nonlinear Control
4 Journal of Nonlinear Science
3 Nonlinearity
3 Journal of Geometry and Physics
3 Duke Mathematical Journal
3 SIAM Journal on Applied Mathematics
3 Communications in Information and Systems
2 Journal of Statistical Physics
2 Physica D
2 MCSS. Mathematics of Control, Signals, and Systems
2 Bulletin of the American Mathematical Society. New Series
2 Notices of the American Mathematical Society
2 Discrete and Continuous Dynamical Systems
2 European Journal of Control
2 Regular and Chaotic Dynamics
2 Journal of Dynamical and Control Systems
2 Dynamical Systems
2 Foundations of Computational Mathematics
2 SIAM Journal on Applied Dynamical Systems
2 Interdisciplinary Applied Mathematics
2 Discrete and Continuous Dynamical Systems. Series S
1 Archive for Rational Mechanics and Analysis
1 Journal of the Franklin Institute
1 Reports on Mathematical Physics
1 Theoretical and Computational Fluid Dynamics
1 International Journal of Mathematics and Mathematical Sciences
1 Inventiones Mathematicae
1 Journal of Computational and Applied Mathematics
1 Journal of Differential Equations
1 Journal of Econometrics
1 Transactions of the American Mathematical Society
1 Optimal Control Applications & Methods
1 Acta Applicandae Mathematicae
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Dynamics and Stability of Systems
1 Dynamics and Control
1 Comptes Rendus de l’Académie des Sciences. Série I
1 Celestial Mechanics and Dynamical Astronomy
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Sbornik: Mathematics
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Physical Review Letters
1 Oberwolfach Reports
1 Fields Institute Communications
1 Journal of Physics A: Mathematical and Theoretical
1 Mathematical Control and Related Fields
1 SIAM Journal on Applied Algebra and Geometry

Publications by Year

Citations contained in zbMATH Open

119 Publications have been cited 1,605 times in 1,011 Documents Cited by Year
Nonholonomic mechanics and control. With the collaboration of J. Baillieul, P. Crouch, and J. Marsden. With scientific input from P. S. Krishnaprasad, R. M. Murray, and D. Zenkov. Zbl 1045.70001
Bloch, A. M.
180
2003
Nonholonomic mechanical systems with symmetry. Zbl 0886.70014
Bloch, Anthony M.; Krishnaprasad, P. S.; Marsden, Jerrold E.; Murray, Richard M.
174
1996
Control and stabilization of nonholonomic dynamic systems. Zbl 0778.93084
Bloch, Anthony M.; Reyhanoglu, Mahmut; McClamroch, N. Harris
100
1992
Controlled Lagrangians and the stabilization of mechanical systems. I: The first matching theorem. Zbl 1056.93604
Bloch, Anthony M.; Leonard, Naomi Ehrich; Marsden, Jerrold E.
80
2000
Controlled Lagrangians and the stabilization of mechanical systems. II: Potential shaping. Zbl 1057.93520
Bloch, Anthony M.; Chang, Dong Eui; Leonard, Naomi Ehrich; Marsden, Jerrold E.
58
2001
The Euler-Poincaré equations and double bracket dissipation. Zbl 0846.58048
Bloch, Anthony; Krishnaprasad, P. S.; Marsden, Jerrold E.; Ratiu, Tudor S.
56
1996
Stabilization of rigid body dynamics by internal and external torques. Zbl 0781.70020
Bloch, A. M.; Krishnaprasad, P. S.; Marsden, J. E.; Sánchez de Alvarez, G.
52
1992
Quasivelocities and symmetries in non-holonomic systems. Zbl 1231.37034
Bloch, Anthony M.; Marsden, Jerrold E.; Zenkov, Dmitry V.
37
2009
Completely integrable gradient flows. Zbl 0766.58027
Bloch, Anthony M.; Brockett, Roger W.; Ratiu, Tudor S.
32
1992
Dissipation induced instabilities. Zbl 0834.58025
Bloch, A. M.; Krishnaprasad, P. S.; Marsden, J. E.; Ratiu, T. S.
30
1994
The equivalence of controlled Lagrangian and controlled Hamiltonian systems. Zbl 1070.70013
Chang, Dong Eui; Bloch, Anthony M.; Leonard, Naomi E.; Marsden, Jerrold E.; Woolsey, Craig A.
27
2002
Stabilization and tracking in the nonholonomic integrator via sliding modes. Zbl 0866.93085
Bloch, Anthony; Drakunov, Sergey
25
1996
Nonholonomic Hamilton-Jacobi theory via Chaplygin Hamiltonization. Zbl 1339.70035
Ohsawa, Tomoki; Fernandez, Oscar E.; Bloch, Anthony M.; Zenkov, Dmitry V.
24
2011
Steepest descent, linear programming, and Hamiltonian flows. Zbl 0729.34028
Bloch, A. M.
24
1990
Nonholonomic mechanics and control. With the collaboration of J. Baillieul, P. E Crouch, J. E. Marsden and D. Zenkov. With scientific input from P. S. Krishnaprasad and R. M. Murray. 2nd edition. Zbl 1381.70004
Bloch, A. M.
23
2015
Stabilization of rigid body dynamics by the Energy-Casimir method. Zbl 0701.93083
Bloch, Anthony M.; Marsden, Jerrold E.
22
1990
The energy-momentum method for the stability of non-holonomic systems. Zbl 0916.70013
Zenkov, Dmitry V.; Bloch, Anthony M.; Marsden, Jerrold E.
21
1998
A convexity theorem for isospectral manifolds of Jacobi matrices in a compact Lie algebra. Zbl 0715.58004
Bloch, A. M.; Flaschka, H.; Ratiu, T.
20
1990
Optimal control of underactuated nonholonomic mechanical systems. Zbl 1367.49017
Hussein, Islam I.; Bloch, Anthony M.
19
2008
Controllability and motion planning of a multibody Chaplygin’s sphere and Chaplygin’s top. Zbl 1284.93044
Shen, Jinglai; Schneider, David A.; Bloch, Anthony M.
19
2008
Dispersive regularization of the Whitham equation for the Toda lattice. Zbl 0757.34014
Bloch, A. M.; Kodama, Y.
18
1992
Representations of Dirac structures on vector spaces and nonlinear L-C circuits. Zbl 0917.58008
Bloch, Anthony M.; Crouch, Peter E.
18
1999
Nonholonomic dynamics. Zbl 1142.70006
Bloch, Anthony M.; Marsden, Jerrold E.; Zenkov, Dmitry V.
17
2005
Finite controllability of infinite-dimensional quantum systems. Zbl 1368.81086
Bloch, Anthony M.; Brockett, Roger W.; Rangan, Chitra
17
2010
A new formulation of the generalized Toda lattice equations and their fixed point analysis via the momentum map. Zbl 0715.58033
Bloch, Anthony M.; Brockett, Roger W.; Ratiu, Tudor S.
17
1990
On the dynamics of rotating elastic beams. Zbl 0759.73036
Bloch, A. M.; Titi, E. S.
16
1991
Hamiltonization of nonholonomic systems and the inverse problem of the calculus of variations. Zbl 1207.37045
Bloch, A. M.; Fernandez, O. E.; Mestdag, T.
15
2009
Nonholonomic Hamilton-Jacobi equation and integrability. Zbl 1288.70009
Ohsawa, Tomoki; Bloch, Anthony M.
15
2009
A generalization of Chaplygin’s reducibility theorem. Zbl 1229.37087
Fernandez, O. E.; Mestdag, T.; Bloch, A. M.
14
2009
Controlled Lagrangians and the stabilization of Euler-Poincaré mechanical systems. Zbl 0980.93065
Bloch, Anthony M.; Leonard, Naomi Ehrich; Marsden, Jerrold E.
13
2001
Dispersionless Toda and Toeplitz operators. Zbl 1024.37047
Bloch, A.; Golse, F.; Paul, T.; Uribe, A.
13
2003
Invariant measures of nonholonomic flows with internal degrees of freedom. Zbl 1116.37315
Zenkov, Dmitry V.; Bloch, Anthony M.
13
2003
Geometric structure-preserving optimal control of a rigid body. Zbl 1203.70042
Bloch, A. M.; Hussein, I. I.; Leok, M.; Sanyal, A. K.
12
2009
Hamiltonian and gradient structures in the Toda flows. Zbl 0929.35146
Bloch, Anthony M.; Gekhtman, Michael I.
12
1998
Dynamics of the \(n\)-dimensional Suslov problem. Zbl 0989.70010
Zenkov, Dmitry V.; Bloch, Anthony M.
12
2000
Nonholonomic control systems on Riemannian manifolds. Zbl 0828.93020
Bloch, A. M.; Crouch, P. E.
12
1995
Equivalence of the dynamics of nonholonomic and variational nonholonomic systems for certain initial data. Zbl 1195.70023
Fernandez, Oscar E.; Bloch, Anthony M.
12
2008
Controlling homoclinic orbits. Zbl 0709.76053
Bloch, A. M.; Marsden, J. E.
12
1989
Nonholonomic and vakonomic control systems on Riemannian manifolds. Zbl 0788.70006
Bloch, A. M.; Crouch, P. E.
11
1993
Double bracket equations and geodesic flows on symmetric spaces. Zbl 0884.58079
Bloch, Anthony M.; Brockett, Roger W.; Crouch, Peter E.
11
1997
Optimal control, optimization, and analytical mechanics. Zbl 1054.49506
Bloch, Anthony M.; Crouch, Peter E.
10
1998
The Weitzenböck connection and time reparameterization in nonholonomic mechanics. Zbl 1314.70017
Fernandez, O. E.; Bloch, A. M.
10
2011
Controlled Lagrangian systems with gyroscopic forcing and dissipation. Zbl 1293.93645
Woolsey, Craig; Reddy, Chevva Konda; Bloch, Anthony M.; Chang, Dong Eui; Leonard, Naomi Ehrich; Marsden, Jerrold E.
10
2004
Asymptotic Hamiltonian dynamics: The Toda lattice, the three-wave interaction and the non-holonomic Chaplygin sleigh. Zbl 0964.37042
Bloch, Anthony M.
9
2000
Discrete Hamilton-Jacobi theory. Zbl 1286.70025
Ohsawa, Tomoki; Bloch, Anthony M.; Leok, Melvin
9
2011
A completely integrable Hamiltonian system associated with line fitting in complex vector spaces. Zbl 0604.58032
Bloch, Anthony M.
9
1985
Estimation, principal components and Hamiltonian systems. Zbl 0607.93057
Bloch, Anthony
9
1985
A Schur-Horn-Kostant convexity theorem for the diffeomorphism group of the annulus. Zbl 0806.22012
Bloch, A. M.; Flaschka, H.; Ratiu, T.
8
1993
On the symplectic structure of the phase space for periodic KdV, Toda, and defocusing NLS. Zbl 0855.58035
Bättig, D.; Bloch, A. M.; Guillot, J.-C.; Kappeler, T.
8
1995
A fiber bundle approach to the transpositional relations in nonholonomic mechanics. Zbl 1251.70016
Maruskin, Jared M.; Bloch, Anthony M.; Marsden, Jerrold E.; Zenkov, Dmitry V.
7
2012
A geometric approach to the optimal control of nonholonomic mechanical systems. Zbl 1329.49032
Bloch, Anthony; Colombo, Leonardo; Gupta, Rohit; Martín de Diego, David
7
2015
The Boltzmann–Hamel equations for the optimal control of mechanical systems with nonholonomic constraints. Zbl 1213.49029
Maruskin, Jared M.; Bloch, Anthony M.
7
2011
Sorting with the dispersionless limit of the Toda lattice. Zbl 0738.35083
Brockett, R. W.; Bloch, Anthony
6
1990
The symmetric representation of the rigid body equations and their discretization. Zbl 1064.70004
Bloch, Anthony M.; Crouch, Peter E.; Marsden, Jerrold E.; Ratiu, Tudor S.
6
2002
Stability analysis of a rotating flexible system. Zbl 0682.70021
Bloch, Anthony M.
6
1989
Stabilization of nonholonomic systems using isospectral flows. Zbl 1056.93603
Bloch, Anthony M.; Drakunov, Sergey V.; Kinyon, Michael K.
6
2000
Optimal control and geodesic flows. Zbl 0877.93029
Bloch, Anthony M.; Crouch, Peter E.
6
1996
Dynamic coverage optimal control for multiple spacecraft interferometric imaging. Zbl 1113.49007
Hussein, Islam I.; Bloch, Anthony M.
6
2007
Stabilizability of nonholonomic control systems. Zbl 0766.93061
Bloch, Anthony M.
5
1992
Newton’s law and integrability of nonholonomic systems. Zbl 1047.70621
Bloch, A. M.; Crouch, P. E.
5
1998
Radiation induced instability. Zbl 1071.34057
Hagerty, Patrick; Bloch, Anthony M.; Weinstein, Michael I.
5
2003
The Lyapunov-Malkin theorem and stabilization of the unicycle with rider. Zbl 0994.93046
Zenkov, Dmitry V.; Bloch, Anthony M.; Marsden, Jerrold E.
5
2002
Hamiltonian and gradient flows, algorithms and control. Zbl 0801.00027
Bloch, Anthony (ed.)
5
1994
Sub-Riemannian optimal control problems. Zbl 0816.49031
Bloch, Anthony M.; Crouch, Peter E.; Ratiu, Tudor S.
5
1994
The Toda PDE and the geometry of the diffeomorphism group of the annulus. Zbl 0856.35004
Bloch, Anthony M.; Flaschka, Hermann; Ratiu, Tudor S.
5
1996
On an isospectral Lie-Poisson system and its Lie algebra. Zbl 1105.37033
Bloch, Anthony M.; Iserles, Arieh
5
2006
Hill’s equation with random forcing terms. Zbl 1162.34045
Adams, Fred C.; Bloch, Anthony M.
5
2008
MPC on manifolds with an application to the control of spacecraft attitude on SO(3). Zbl 1352.93035
Kalabić, Uroš V.; Gupta, Rohit; Di Cairano, Stefano; Bloch, Anthony M.; Kolmanovsky, Ilya V.
5
2017
Hamel’s formalism for infinite-dimensional mechanical systems. Zbl 1360.70023
Shi, Donghua; Berchenko-Kogan, Yakov; Zenkov, Dmitry V.; Bloch, Anthony M.
5
2017
A class of integrable flows on the space of symmetric matrices. Zbl 1231.37030
Bloch, Anthony M.; Brînzănescu, Vasile; Iserles, Arieh; Marsden, Jerrold E.; Ratiu, Tudor S.
5
2009
Gradient flows in the normal and Kähler metrics and triple bracket generated metriplectic systems. Zbl 1321.37054
Bloch, Anthony M.; Morrison, Philip J.; Ratiu, Tudor S.
5
2013
Commutators of skew-symmetric matrices. Zbl 1100.17004
Block, Anthony M.; Iserles, Arieh
4
2005
A variational problem on Stiefel manifolds. Zbl 1136.49031
Bloch, Anthony M.; Crouch, Peter E.; Sanyal, Amit K.
4
2006
Embedded geodesic problems and optimal control for matrix Lie groups. Zbl 1230.49014
Bloch, Anthony M.; Crouch, Peter E.; Nordkvist, Nikolaj; Sanyal, Amit K.
4
2011
The geometry and integrability of the Suslov problem. Zbl 1315.37031
Fernandez, Oscar E.; Bloch, Anthony M.; Zenkov, Dmitry V.
4
2014
Convexity and integrability. Zbl 0755.53023
Bloch, A. M.; Ratiu, T. S.
3
1991
Generalized Serret-Andoyer transformation and applications for the controlled rigid body. Zbl 0949.93016
Lum, Kai-Yew; Bloch, Anthony M.
3
1999
Feedback stabilization of relative equilibria for mechanical systems with symmetry. Zbl 0940.93066
Bloch, Anthony M.; Marsden, Jerrold E.; Sánchez de Alvares, Gloria
3
1997
Gyroscopically stabilized oscillators and heat baths. Zbl 1066.70014
Bloch, Anthony M.; Hagerty, Patrick; Rojo, Alberto G.; Weinstein, Michael I.
3
2004
Lie algebraic aspects of the finite nonperiodic Toda flows. Zbl 1120.37044
Bloch, Anthony M.; Gekhtman, Michael I.
3
2007
Local equilibrium controllability of multibody systems controlled via shape change. Zbl 1365.70004
Shen, Jinglai; McClamroch, N. Harris; Bloch, Anthony M.
3
2004
Variational integrators for hamiltonizable nonholonomic systems. Zbl 1262.65193
Fernandez, Oscar E.; Bloch, Anthony M.; Olver, P. J.
3
2012
The Helmholtz conditions and the method of controlled Lagrangians. Zbl 1337.49062
Bloch, Anthony M.; Krupka, Demeter; Zenkov, Dmitry V.
3
2015
Quantization of a nonholonomic system. Zbl 1228.81194
Bloch, Anthony M.; Rojo, Alberto G.
3
2008
The geometric nature of the Flaschka transformation. Zbl 1368.37065
Bloch, Anthony M.; Gay-Balmaz, François; Ratiu, Tudor S.
3
2017
Steering the eigenvalues of the density operator in Hamiltonian-controlled quantum Lindblad systems. Zbl 1390.81203
Rooney, Patrick; Bloch, Anthony M.; Rangan, Chitra
2
2018
Hill’s equation with random forcing parameters: the limit of delta function barriers. Zbl 1342.34115
Adams, Fred C.; Bloch, Anthony M.
2
2009
Spectral equations for the long wave limit of the Toda lattice equations. Zbl 0738.35082
Bloch, A. M.; Brockett, R. W.; Kodama, Y.; Ratiu, T.
2
1990
Symmetries, conservation laws, and control. Zbl 1146.70340
Bloch, Anthony M.; Leonard, Naomi Ehrich
2
2002
Discontinuous stabilization of Brockett’s canonical driftless system. Zbl 0927.93041
Bloch, Anthony; Drakunov, Sergey
2
1998
Control of finite-dimensional quantum systems: application to a spin-\(\frac12\) particle coupled with a finite quantum harmonic oscillator. Zbl 1076.81010
Rangan, C.; Bloch, A. M.
2
2005
Motion planning for nonholonomic dynamic systems. Zbl 0790.70014
Reyhanoglu, Mahmut; McClamroch, N. Harris; Bloch, Anthony M.
2
1992
Control of constrained Hamiltonian systems and applications to control of constrained robots. Zbl 0667.93053
McClamroch, N. Harris; Bloch, Anthony M.
2
1988
Control of nonholonomic systems with extended base space dynamics. Zbl 0851.93008
Reyhanoglu, Mahmut; Bloch, Antony M.; McClamroch, N. Harris
2
1995
The Whitham equation and shocks in the Toda lattice. Zbl 0849.35116
Bloch, A. M.; Kodama, Y.
2
1994
Optimal control and geodesics on quadratic matrix Lie groups. Zbl 1160.49018
Bloch, Anthony M.; Crouch, Peter E.; Marsden, Jerrold E.; Sanyal, Amit K.
2
2008
Maximal tori of some symplectomorphism groups and applications to convexity. Zbl 1149.58305
Bloch, Anthony; Ould el Hadrami, Mohamed; Flaschka, Hermann; Ratiu, Tudor S.
2
1997
Global solution for the optimal feedback control of the underactuated Heisenberg system. Zbl 1367.93252
Park, Chandeok; Scheeres, Daniel J.; Guibout, Vincent; Bloch, Anthony
2
2008
Guest editorial: special issue on control of quantum mechanical systems. Zbl 1369.81009
Altafini, Claudio (ed.); Bloch, Anthony M. (ed.); James, Matthew R. (ed.); Loria, Antonio (ed.); Rouchon, Pierre (ed.)
2
2012
The Serret-Andoyer formalism in rigid-body dynamics. II. Geometry, stabilization, and control. Zbl 1229.37105
Bloch, A.; Gurfil, P.; Lum, K.-Y.
2
2007
Variational point-obstacle avoidance on Riemannian manifolds. Zbl 1464.93017
Bloch, Anthony; Camarinha, Margarida; Colombo, Leonardo
1
2021
A Poincaré-Bendixson theorem for hybrid dynamical systems on directed graphs. Zbl 1436.37054
Clark, William; Bloch, Anthony
1
2020
A Poincaré-Bendixson theorem for hybrid systems. Zbl 1442.34072
Clark, William; Bloch, Anthony; Colombo, Leonardo
1
2020
An extension to the theory of controlled Lagrangians using the Helmholtz conditions. Zbl 1417.49048
Farré Puiggalí, Marta; Bloch, Anthony M.
1
2019
Steering the eigenvalues of the density operator in Hamiltonian-controlled quantum Lindblad systems. Zbl 1390.81203
Rooney, Patrick; Bloch, Anthony M.; Rangan, Chitra
2
2018
MPC on manifolds with an application to the control of spacecraft attitude on SO(3). Zbl 1352.93035
Kalabić, Uroš V.; Gupta, Rohit; Di Cairano, Stefano; Bloch, Anthony M.; Kolmanovsky, Ilya V.
5
2017
Hamel’s formalism for infinite-dimensional mechanical systems. Zbl 1360.70023
Shi, Donghua; Berchenko-Kogan, Yakov; Zenkov, Dmitry V.; Bloch, Anthony M.
5
2017
The geometric nature of the Flaschka transformation. Zbl 1368.37065
Bloch, Anthony M.; Gay-Balmaz, François; Ratiu, Tudor S.
3
2017
Coadjoint orbits in duals of Lie algebras with admissible ideals. Zbl 1402.53064
Bloch, Anthony M.; Gay-Balmaz, François; Ratiu, Tudor S.
1
2017
Stability of a class of coupled Hill’s equations and the Lorentz oscillator model. Zbl 1371.34025
Razavi, Hamed; Gupta, Rohit; Adams, Fred C.; Bloch, Anthony M.
1
2016
Nonholonomic mechanics and control. With the collaboration of J. Baillieul, P. E Crouch, J. E. Marsden and D. Zenkov. With scientific input from P. S. Krishnaprasad and R. M. Murray. 2nd edition. Zbl 1381.70004
Bloch, A. M.
23
2015
A geometric approach to the optimal control of nonholonomic mechanical systems. Zbl 1329.49032
Bloch, Anthony; Colombo, Leonardo; Gupta, Rohit; Martín de Diego, David
7
2015
The Helmholtz conditions and the method of controlled Lagrangians. Zbl 1337.49062
Bloch, Anthony M.; Krupka, Demeter; Zenkov, Dmitry V.
3
2015
The geometry and integrability of the Suslov problem. Zbl 1315.37031
Fernandez, Oscar E.; Bloch, Anthony M.; Zenkov, Dmitry V.
4
2014
Gradient flows in the normal and Kähler metrics and triple bracket generated metriplectic systems. Zbl 1321.37054
Bloch, Anthony M.; Morrison, Philip J.; Ratiu, Tudor S.
5
2013
A fiber bundle approach to the transpositional relations in nonholonomic mechanics. Zbl 1251.70016
Maruskin, Jared M.; Bloch, Anthony M.; Marsden, Jerrold E.; Zenkov, Dmitry V.
7
2012
Variational integrators for hamiltonizable nonholonomic systems. Zbl 1262.65193
Fernandez, Oscar E.; Bloch, Anthony M.; Olver, P. J.
3
2012
Guest editorial: special issue on control of quantum mechanical systems. Zbl 1369.81009
Altafini, Claudio; Bloch, Anthony M.; James, Matthew R.; Loria, Antonio; Rouchon, Pierre
2
2012
Nonholonomic Hamilton-Jacobi theory via Chaplygin Hamiltonization. Zbl 1339.70035
Ohsawa, Tomoki; Fernandez, Oscar E.; Bloch, Anthony M.; Zenkov, Dmitry V.
24
2011
The Weitzenböck connection and time reparameterization in nonholonomic mechanics. Zbl 1314.70017
Fernandez, O. E.; Bloch, A. M.
10
2011
Discrete Hamilton-Jacobi theory. Zbl 1286.70025
Ohsawa, Tomoki; Bloch, Anthony M.; Leok, Melvin
9
2011
The Boltzmann–Hamel equations for the optimal control of mechanical systems with nonholonomic constraints. Zbl 1213.49029
Maruskin, Jared M.; Bloch, Anthony M.
7
2011
Embedded geodesic problems and optimal control for matrix Lie groups. Zbl 1230.49014
Bloch, Anthony M.; Crouch, Peter E.; Nordkvist, Nikolaj; Sanyal, Amit K.
4
2011
Nonholonomic mechanics, dissipation and quantization. Zbl 1235.70034
Bloch, Anthony M.
1
2011
Finite controllability of infinite-dimensional quantum systems. Zbl 1368.81086
Bloch, Anthony M.; Brockett, Roger W.; Rangan, Chitra
17
2010
Kinematics of the rolling sphere and quantum spin. Zbl 1372.70020
Bloch, Anthony M.; Rojo, Alberto G.
2
2010
Controlled Lagrangians and stabilization of discrete mechanical systems. Zbl 1278.70021
Bloch, Anthony M.; Leok, Melvin; Marsden, Jerrold E.; Zenkov, Dmitry V.
1
2010
Hill’s equation with random forcing parameters: determination of growth rates through random matrices. Zbl 1198.34104
Adams, Fred C.; Bloch, Anthony M.
1
2010
Quasivelocities and symmetries in non-holonomic systems. Zbl 1231.37034
Bloch, Anthony M.; Marsden, Jerrold E.; Zenkov, Dmitry V.
37
2009
Hamiltonization of nonholonomic systems and the inverse problem of the calculus of variations. Zbl 1207.37045
Bloch, A. M.; Fernandez, O. E.; Mestdag, T.
15
2009
Nonholonomic Hamilton-Jacobi equation and integrability. Zbl 1288.70009
Ohsawa, Tomoki; Bloch, Anthony M.
15
2009
A generalization of Chaplygin’s reducibility theorem. Zbl 1229.37087
Fernandez, O. E.; Mestdag, T.; Bloch, A. M.
14
2009
Geometric structure-preserving optimal control of a rigid body. Zbl 1203.70042
Bloch, A. M.; Hussein, I. I.; Leok, M.; Sanyal, A. K.
12
2009
A class of integrable flows on the space of symmetric matrices. Zbl 1231.37030
Bloch, Anthony M.; Brînzănescu, Vasile; Iserles, Arieh; Marsden, Jerrold E.; Ratiu, Tudor S.
5
2009
Hill’s equation with random forcing parameters: the limit of delta function barriers. Zbl 1342.34115
Adams, Fred C.; Bloch, Anthony M.
2
2009
Optimal control of underactuated nonholonomic mechanical systems. Zbl 1367.49017
Hussein, Islam I.; Bloch, Anthony M.
19
2008
Controllability and motion planning of a multibody Chaplygin’s sphere and Chaplygin’s top. Zbl 1284.93044
Shen, Jinglai; Schneider, David A.; Bloch, Anthony M.
19
2008
Equivalence of the dynamics of nonholonomic and variational nonholonomic systems for certain initial data. Zbl 1195.70023
Fernandez, Oscar E.; Bloch, Anthony M.
12
2008
Hill’s equation with random forcing terms. Zbl 1162.34045
Adams, Fred C.; Bloch, Anthony M.
5
2008
Quantization of a nonholonomic system. Zbl 1228.81194
Bloch, Anthony M.; Rojo, Alberto G.
3
2008
Optimal control and geodesics on quadratic matrix Lie groups. Zbl 1160.49018
Bloch, Anthony M.; Crouch, Peter E.; Marsden, Jerrold E.; Sanyal, Amit K.
2
2008
Global solution for the optimal feedback control of the underactuated Heisenberg system. Zbl 1367.93252
Park, Chandeok; Scheeres, Daniel J.; Guibout, Vincent; Bloch, Anthony
2
2008
Dynamic coverage optimal control for multiple spacecraft interferometric imaging. Zbl 1113.49007
Hussein, Islam I.; Bloch, Anthony M.
6
2007
Lie algebraic aspects of the finite nonperiodic Toda flows. Zbl 1120.37044
Bloch, Anthony M.; Gekhtman, Michael I.
3
2007
The Serret-Andoyer formalism in rigid-body dynamics. II. Geometry, stabilization, and control. Zbl 1229.37105
Bloch, A.; Gurfil, P.; Lum, K.-Y.
2
2007
On an isospectral Lie-Poisson system and its Lie algebra. Zbl 1105.37033
Bloch, Anthony M.; Iserles, Arieh
5
2006
A variational problem on Stiefel manifolds. Zbl 1136.49031
Bloch, Anthony M.; Crouch, Peter E.; Sanyal, Amit K.
4
2006
Nonholonomic dynamics. Zbl 1142.70006
Bloch, Anthony M.; Marsden, Jerrold E.; Zenkov, Dmitry V.
17
2005
Commutators of skew-symmetric matrices. Zbl 1100.17004
Block, Anthony M.; Iserles, Arieh
4
2005
Control of finite-dimensional quantum systems: application to a spin-\(\frac12\) particle coupled with a finite quantum harmonic oscillator. Zbl 1076.81010
Rangan, C.; Bloch, A. M.
2
2005
Aspects of generalized double-bracket flows. Zbl 1085.34037
Bloch, A. M.; Iserles, A.
1
2005
Controlled Lagrangian systems with gyroscopic forcing and dissipation. Zbl 1293.93645
Woolsey, Craig; Reddy, Chevva Konda; Bloch, Anthony M.; Chang, Dong Eui; Leonard, Naomi Ehrich; Marsden, Jerrold E.
10
2004
Gyroscopically stabilized oscillators and heat baths. Zbl 1066.70014
Bloch, Anthony M.; Hagerty, Patrick; Rojo, Alberto G.; Weinstein, Michael I.
3
2004
Local equilibrium controllability of multibody systems controlled via shape change. Zbl 1365.70004
Shen, Jinglai; McClamroch, N. Harris; Bloch, Anthony M.
3
2004
Control of squeezed phonon and spin states. Zbl 1293.81025
Bloch, Anthony M.; Rojo, Alberto G.
2
2004
Qualitative behavior of non-Abelian Toda-like flows. Zbl 1067.37093
Koelling, Melinda E.; Bloch, Anthony M.; Gekhtman, Michael
1
2004
Nonholonomic mechanics and control. With the collaboration of J. Baillieul, P. Crouch, and J. Marsden. With scientific input from P. S. Krishnaprasad, R. M. Murray, and D. Zenkov. Zbl 1045.70001
Bloch, A. M.
180
2003
Dispersionless Toda and Toeplitz operators. Zbl 1024.37047
Bloch, A.; Golse, F.; Paul, T.; Uribe, A.
13
2003
Invariant measures of nonholonomic flows with internal degrees of freedom. Zbl 1116.37315
Zenkov, Dmitry V.; Bloch, Anthony M.
13
2003
Radiation induced instability. Zbl 1071.34057
Hagerty, Patrick; Bloch, Anthony M.; Weinstein, Michael I.
5
2003
Dissipative dynamics in classical and quantum conservative systems. Zbl 1162.70322
Bloch, Anthony M.
1
2003
The equivalence of controlled Lagrangian and controlled Hamiltonian systems. Zbl 1070.70013
Chang, Dong Eui; Bloch, Anthony M.; Leonard, Naomi E.; Marsden, Jerrold E.; Woolsey, Craig A.
27
2002
The symmetric representation of the rigid body equations and their discretization. Zbl 1064.70004
Bloch, Anthony M.; Crouch, Peter E.; Marsden, Jerrold E.; Ratiu, Tudor S.
6
2002
The Lyapunov-Malkin theorem and stabilization of the unicycle with rider. Zbl 0994.93046
Zenkov, Dmitry V.; Bloch, Anthony M.; Marsden, Jerrold E.
5
2002
Symmetries, conservation laws, and control. Zbl 1146.70340
Bloch, Anthony M.; Leonard, Naomi Ehrich
2
2002
Controlled Lagrangians and the stabilization of mechanical systems. II: Potential shaping. Zbl 1057.93520
Bloch, Anthony M.; Chang, Dong Eui; Leonard, Naomi Ehrich; Marsden, Jerrold E.
58
2001
Controlled Lagrangians and the stabilization of Euler-Poincaré mechanical systems. Zbl 0980.93065
Bloch, Anthony M.; Leonard, Naomi Ehrich; Marsden, Jerrold E.
13
2001
Dynamics of generalized Euler tops with constraints. Zbl 1301.37036
Zenkov, Dmitry V.; Bloch, Anthony M.
1
2001
Controlled Lagrangians and the stabilization of mechanical systems. I: The first matching theorem. Zbl 1056.93604
Bloch, Anthony M.; Leonard, Naomi Ehrich; Marsden, Jerrold E.
80
2000
Dynamics of the \(n\)-dimensional Suslov problem. Zbl 0989.70010
Zenkov, Dmitry V.; Bloch, Anthony M.
12
2000
Asymptotic Hamiltonian dynamics: The Toda lattice, the three-wave interaction and the non-holonomic Chaplygin sleigh. Zbl 0964.37042
Bloch, Anthony M.
9
2000
Stabilization of nonholonomic systems using isospectral flows. Zbl 1056.93603
Bloch, Anthony M.; Drakunov, Sergey V.; Kinyon, Michael K.
6
2000
Representations of Dirac structures on vector spaces and nonlinear L-C circuits. Zbl 0917.58008
Bloch, Anthony M.; Crouch, Peter E.
18
1999
Generalized Serret-Andoyer transformation and applications for the controlled rigid body. Zbl 0949.93016
Lum, Kai-Yew; Bloch, Anthony M.
3
1999
The energy-momentum method for the stability of non-holonomic systems. Zbl 0916.70013
Zenkov, Dmitry V.; Bloch, Anthony M.; Marsden, Jerrold E.
21
1998
Hamiltonian and gradient structures in the Toda flows. Zbl 0929.35146
Bloch, Anthony M.; Gekhtman, Michael I.
12
1998
Optimal control, optimization, and analytical mechanics. Zbl 1054.49506
Bloch, Anthony M.; Crouch, Peter E.
10
1998
Newton’s law and integrability of nonholonomic systems. Zbl 1047.70621
Bloch, A. M.; Crouch, P. E.
5
1998
Discontinuous stabilization of Brockett’s canonical driftless system. Zbl 0927.93041
Bloch, Anthony; Drakunov, Sergey
2
1998
Double bracket equations and geodesic flows on symmetric spaces. Zbl 0884.58079
Bloch, Anthony M.; Brockett, Roger W.; Crouch, Peter E.
11
1997
Feedback stabilization of relative equilibria for mechanical systems with symmetry. Zbl 0940.93066
Bloch, Anthony M.; Marsden, Jerrold E.; Sánchez de Alvares, Gloria
3
1997
Maximal tori of some symplectomorphism groups and applications to convexity. Zbl 1149.58305
Bloch, Anthony; Ould el Hadrami, Mohamed; Flaschka, Hermann; Ratiu, Tudor S.
2
1997
Nonholonomic mechanical systems with symmetry. Zbl 0886.70014
Bloch, Anthony M.; Krishnaprasad, P. S.; Marsden, Jerrold E.; Murray, Richard M.
174
1996
The Euler-Poincaré equations and double bracket dissipation. Zbl 0846.58048
Bloch, Anthony; Krishnaprasad, P. S.; Marsden, Jerrold E.; Ratiu, Tudor S.
56
1996
Stabilization and tracking in the nonholonomic integrator via sliding modes. Zbl 0866.93085
Bloch, Anthony; Drakunov, Sergey
25
1996
Optimal control and geodesic flows. Zbl 0877.93029
Bloch, Anthony M.; Crouch, Peter E.
6
1996
The Toda PDE and the geometry of the diffeomorphism group of the annulus. Zbl 0856.35004
Bloch, Anthony M.; Flaschka, Hermann; Ratiu, Tudor S.
5
1996
Nonholonomic control systems on Riemannian manifolds. Zbl 0828.93020
Bloch, A. M.; Crouch, P. E.
12
1995
On the symplectic structure of the phase space for periodic KdV, Toda, and defocusing NLS. Zbl 0855.58035
Bättig, D.; Bloch, A. M.; Guillot, J.-C.; Kappeler, T.
8
1995
Control of nonholonomic systems with extended base space dynamics. Zbl 0851.93008
Reyhanoglu, Mahmut; Bloch, Antony M.; McClamroch, N. Harris
2
1995
Dissipation induced instabilities. Zbl 0834.58025
Bloch, A. M.; Krishnaprasad, P. S.; Marsden, J. E.; Ratiu, T. S.
30
1994
Hamiltonian and gradient flows, algorithms and control. Zbl 0801.00027
Bloch, Anthony
5
1994
Sub-Riemannian optimal control problems. Zbl 0816.49031
Bloch, Anthony M.; Crouch, Peter E.; Ratiu, Tudor S.
5
1994
The Whitham equation and shocks in the Toda lattice. Zbl 0849.35116
Bloch, A. M.; Kodama, Y.
2
1994
Nonholonomic and vakonomic control systems on Riemannian manifolds. Zbl 0788.70006
Bloch, A. M.; Crouch, P. E.
11
1993
A Schur-Horn-Kostant convexity theorem for the diffeomorphism group of the annulus. Zbl 0806.22012
Bloch, A. M.; Flaschka, H.; Ratiu, T.
8
1993
The symplectic structure of the phase space for the periodic Korteweg-de Vries equation. (La structure symplectique de l’espace de phase de l’équation Korteweg-de-Vries périodique.) Zbl 0816.35119
Bättig, Daniel; Bloch, Anthony; Guillot, Jean-Claude; Kappeler, Thomas
1
1993
Control and stabilization of nonholonomic dynamic systems. Zbl 0778.93084
Bloch, Anthony M.; Reyhanoglu, Mahmut; McClamroch, N. Harris
100
1992
Stabilization of rigid body dynamics by internal and external torques. Zbl 0781.70020
Bloch, A. M.; Krishnaprasad, P. S.; Marsden, J. E.; Sánchez de Alvarez, G.
52
1992
Completely integrable gradient flows. Zbl 0766.58027
Bloch, Anthony M.; Brockett, Roger W.; Ratiu, Tudor S.
32
1992
...and 19 more Documents
all top 5

Cited by 1,220 Authors

61 Bloch, Anthony M.
39 Marsden, Jerrold Eldon
35 Martín de Diego, David
22 Ratiu, Tudor Stefan
20 Borisov, Alekseĭ Vladimirovich
20 de León Rodríguez, Manuel
19 Gay-Balmaz, François
18 Mamaev, Ivan Sergeevich
17 Colombo, Leonardo Jesus
16 Ortega, Romeo S.
14 Zenkov, Dmitry V.
13 Marrero, Juan Carlos
13 Yoshimura, Hiroaki
12 García-Naranjo, Luis C.
12 Holm, Darryl D.
11 Bizyaev, Ivan Alekseevich
11 Leonard, Naomi Ehrich
10 Cendra, Hernán
10 Kilin, Aleksandr Aleksandrovich
10 Putkaradze, Vakhtang
9 Astolfi, Alessandro
9 Fassò, Francesco
8 Balseiro, Paula
8 Guha, Partha
8 Jiménez, Fernando
8 Sansonetto, Nicola
8 Sigalotti, Mario
7 Banavar, Ravi N.
7 Chang, Dong Eui
7 Grillo, Sergio Daniel
7 Gupta, Rohit
7 Helmke, Uwe R.
7 Kappeler, Thomas
7 Kirillov, Oleg N.
7 Mestdag, Tom
7 Nakamura, Yoshimasa
7 Ohsawa, Tomoki
7 Silva Leite, Fátima
7 van der Schaft, Arjan J.
7 Wu, Yuqiang
6 Aguilar-Ibáñez, Carlos Fernando
6 Bambusi, Dario
6 Boscain, Ugo
6 Fernandez, Oscar E.
6 Jovanović, Božidar Žarko
6 Krishnaprasad, P.s.
6 Leok, Melvin
6 McClamroch, N. Harris
6 Shiriaev, Anton Stanislavovich
6 Sorin, Alexander S.
6 Tsyganov, Andreĭ Vladimirovich
6 Zuccalli, Marcela
5 Bejancu, Aurel
5 Biggs, Rory
5 Chentouf, Boumediène
5 Do, Khac Duc
5 Faybusovich, Leonid E.
5 Fedorov, Yuri N.
5 Ferraro, Sebastián J.
5 Hüper, Knut
5 Kai, Tatsuya
5 Koiller, Jair
5 Martínez Fernández, Eduardo
5 Maschke, Bernhard M.
5 Paul, Thierry
5 Remsing, Claudiu-Cristian
5 Reyhanoglu, Mahmut
5 Tronci, Cesare
4 Adams, Fred C.
4 Bolsinov, Alexey V.
4 Brockett, Roger Ware
4 Bullo, Francesco
4 Cortés, Jorge
4 Díaz, Viviana Alejandra
4 Ercolani, Nicholas M.
4 Holmes, Philip J.
4 Huo, Wei
4 Jacobs, Henry O.
4 Jiang, Zhong-Ping
4 Kleinsteuber, Martin
4 Kolmanovsky, Ilya V.
4 Kvalheim, Matthew D.
4 Kyriakopoulos, Kostas J.
4 Levermore, C. David
4 Lewis, Andrew D.
4 Liu, Guangyu
4 Maithripala, Diogu Hennedige Sanjeeva
4 Mei, Fengxiang
4 Miller, Peter D.
4 Murray, Richard M.
4 Pappas, George J.
4 Pivovarova, Elena Nikolaevna
4 Puiggalí, Marta Farré
4 Román-Roy, Narciso
4 Sanyal, Amit K.
4 Scheurle, Jürgen
4 Sepulchre, Rodolphe J.
4 Sharygin, Georgy I.
4 Suarez-Castañon, Miguel Santiago
4 Tchoń, Krzysztof
...and 1,120 more Authors
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Cited in 190 Serials

60 Automatica
56 Systems & Control Letters
49 Journal of Mathematical Physics
44 Regular and Chaotic Dynamics
41 Journal of Geometry and Physics
38 Journal of Nonlinear Science
33 Physica D
32 Nonlinear Dynamics
31 Journal of Geometric Mechanics
27 International Journal of Control
27 Reports on Mathematical Physics
20 International Journal of Robust and Nonlinear Control
19 International Journal of Geometric Methods in Modern Physics
17 Communications in Mathematical Physics
17 European Journal of Control
14 Mathematical Problems in Engineering
13 Nonlinearity
12 Archive for Rational Mechanics and Analysis
12 Linear Algebra and its Applications
11 SIAM Journal on Control and Optimization
9 Journal of the Franklin Institute
9 Journal of Differential Equations
9 Multibody System Dynamics
9 Journal of Dynamical and Control Systems
8 Acta Applicandae Mathematicae
8 Communications in Nonlinear Science and Numerical Simulation
8 Asian Journal of Control
7 Applied Mathematics and Computation
7 Journal of Computational and Applied Mathematics
7 Japan Journal of Industrial and Applied Mathematics
7 Dynamical Systems
6 Applied Mathematics and Mechanics. (English Edition)
6 Journal of Robotic Systems
6 Discrete and Continuous Dynamical Systems
6 Theoretical and Applied Mechanics
6 Journal of Physics A: Mathematical and Theoretical
5 Theoretical and Mathematical Physics
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 Transactions of the American Mathematical Society
5 MCSS. Mathematics of Control, Signals, and Systems
5 Differential Geometry and its Applications
5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
5 Foundations of Computational Mathematics
4 Acta Mechanica
4 Letters in Mathematical Physics
4 Mathematics of Computation
4 Prikladnaya Matematika i Mekhanika
4 Duke Mathematical Journal
4 Journal of Optimization Theory and Applications
4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
4 Mathematical and Computer Modelling
4 Dynamics and Stability of Systems
4 Journal of Mathematical Sciences (New York)
4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
4 Abstract and Applied Analysis
4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
4 Communications in Mathematics
3 Communications on Pure and Applied Mathematics
3 International Journal of Systems Science
3 Journal of Mathematical Analysis and Applications
3 Physics Letters. A
3 Chaos, Solitons and Fractals
3 Information Sciences
3 Journal of Functional Analysis
3 Proceedings of the American Mathematical Society
3 Advances in Applied Mathematics
3 Journal of Intelligent & Robotic Systems
3 International Journal of Adaptive Control and Signal Processing
3 Applied Mathematical Modelling
3 Physics of Fluids
3 Doklady Mathematics
3 Mathematics and Mechanics of Solids
3 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
3 European Journal of Mechanics. A. Solids
3 Qualitative Theory of Dynamical Systems
3 Journal of Nonlinear Mathematical Physics
3 SIAM Journal on Applied Dynamical Systems
3 Acta Mechanica Sinica
3 Journal of Computational Dynamics
3 Nelineĭnaya Dinamika
3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 Modern Physics Letters A
2 Journal of Computational Physics
2 Journal of Statistical Physics
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Reviews in Mathematical Physics
2 BIT
2 Mathematics and Computers in Simulation
2 Mathematische Zeitschrift
2 Monatshefte für Mathematik
2 Optimal Control Applications & Methods
2 Applied Mathematics Letters
2 Automation and Remote Control
2 Bulletin of the American Mathematical Society. New Series
2 Celestial Mechanics and Dynamical Astronomy
2 International Applied Mechanics
2 Complexity
2 Sbornik: Mathematics
2 Chaos
...and 90 more Serials
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Cited in 50 Fields

546 Mechanics of particles and systems (70-XX)
347 Dynamical systems and ergodic theory (37-XX)
343 Systems theory; control (93-XX)
121 Differential geometry (53-XX)
93 Calculus of variations and optimal control; optimization (49-XX)
82 Partial differential equations (35-XX)
73 Ordinary differential equations (34-XX)
57 Numerical analysis (65-XX)
49 Global analysis, analysis on manifolds (58-XX)
48 Quantum theory (81-XX)
45 Mechanics of deformable solids (74-XX)
38 Fluid mechanics (76-XX)
29 Statistical mechanics, structure of matter (82-XX)
28 Topological groups, Lie groups (22-XX)
21 Operations research, mathematical programming (90-XX)
18 Computer science (68-XX)
17 Linear and multilinear algebra; matrix theory (15-XX)
15 Nonassociative rings and algebras (17-XX)
13 Probability theory and stochastic processes (60-XX)
13 Biology and other natural sciences (92-XX)
11 Algebraic geometry (14-XX)
11 Operator theory (47-XX)
9 Classical thermodynamics, heat transfer (80-XX)
8 Difference and functional equations (39-XX)
7 Statistics (62-XX)
7 Information and communication theory, circuits (94-XX)
6 Manifolds and cell complexes (57-XX)
6 Optics, electromagnetic theory (78-XX)
6 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 Combinatorics (05-XX)
5 Relativity and gravitational theory (83-XX)
4 Special functions (33-XX)
3 History and biography (01-XX)
3 Functional analysis (46-XX)
3 Convex and discrete geometry (52-XX)
3 Algebraic topology (55-XX)
2 General and overarching topics; collections (00-XX)
2 Mathematical logic and foundations (03-XX)
2 Measure and integration (28-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Astronomy and astrophysics (85-XX)
1 Number theory (11-XX)
1 Commutative algebra (13-XX)
1 Group theory and generalizations (20-XX)
1 Real functions (26-XX)
1 Functions of a complex variable (30-XX)
1 Potential theory (31-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral equations (45-XX)

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