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Bloch, Anthony Michael

Author ID: bloch.anthony-m Recent zbMATH articles by "Bloch, Anthony Michael"
Published as: Bloch, Anthony M.; Bloch, Anthony; Bloch, A. M.; Bloch, A.; Bloch, Tony
Homepage: https://dept.math.lsa.umich.edu/~abloch/
External Links: MGP · Wikidata · Google Scholar · dblp · GND · IdRef · theses.fr
all top 5

Co-Authors

16 single-authored
26 Marsden, Jerrold Eldon
22 Ratiu, Tudor Stefan
18 Zenkov, Dmitry V.
17 Crouch, Peter E.
12 Colombo, Leonardo Jesus
10 Krishnaprasad, P.s.
8 Adams, Fred C.
8 Fernandez, Oscar E.
7 Brockett, Roger Ware
7 Gupta, Rohit
7 Leonard, Naomi Ehrich
7 McClamroch, N. Harris
7 Rojo, Alberto G.
7 Sanyal, Amit K.
6 Iserles, Arieh
6 Leok, Melvin
5 Rajapakse, Indika
5 Surana, Amit
4 Flaschka, Hermann
4 Hussein, Islam I.
4 Kolmanovsky, Ilya V.
4 Maruskin, Jared M.
4 Murray, Richard M.
4 Ohsawa, Tomoki
4 Rangan, Chitra
4 Rooney, Patrick
3 Anahory Simoes, Alexandre
3 Baillieul, John B.
3 Bättig, Daniel
3 Chang, Dong Eui
3 Chen, Can
3 Drakunov, Sergey V.
3 Gay-Balmaz, François
3 Gekhtman, Mikhaèl I.
3 Guillot, Jean-Claude
3 Kappeler, Thomas
3 Karp, Steven N.
3 Kodama, Yuji
3 Mestdag, Tom
3 Pickard, Joshua
3 Reyhanoglu, Mahmut
3 Scheeres, Daniel J.
2 Camarinha, Margarida
2 Guibout, Vincent M
2 Hagerty, Patrick
2 Kalabić, Uroš V.
2 Lum, Kai-Yew
2 Martín de Diego, David
2 Nordkvist, Nikolaj
2 Puiggalí, Marta Farré
2 Scheurle, Jürgen
2 Shen, Jinglai
2 Shi, Donghua
2 Stansbury, Cooper
2 Stratoglou, Efstratios
2 Weinstein, Michael I.
2 Woolsey, Craig A.
1 Altafini, Claudio
1 Baras, John S.
1 Barrowes, Leia
1 Berchenko-Kogan, Yakov
1 Brînzănescu, Vasile
1 Cendra, Hernán
1 Chorin, Alexandre Joel
1 Dellnitz, Michael
1 Desbrun, Mathieu
1 Di Cairano, Stefano
1 Ghaffari, Maani
1 Golse, François
1 Golubitsky, Martin A.
1 Gotay, Mark J.
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 Montgomery, Richard
1 Morrison, Philip J.
1 Moseley, Christopher G.
1 Olver, Peter John
1 Ortiz, Michael
1 Ould el Hadrami, Mohamed
1 Park, Chandeok
1 Paul, Thierry
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 Titi, Edriss Saleh
...and 8 more Co-Authors
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Serials

10 IEEE Transactions on Automatic Control
6 Communications in Mathematical Physics
6 Journal of Geometric Mechanics
5 Journal of Mathematical Physics
5 Automatica
5 SIAM Journal on Control and Optimization
5 Systems & Control Letters
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 Physica D
3 SIAM Journal on Applied Mathematics
3 Communications in Information and Systems
2 Archive for Rational Mechanics and Analysis
2 Journal of Statistical Physics
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 International Journal of Control
1 Journal of the Franklin Institute
1 Reports on Mathematical Physics
1 Theoretical and Computational Fluid Dynamics
1 Advances in Mathematics
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 Séminaire Équations aux Dérivées Partielles
1 Sbornik: Mathematics
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Physical Review Letters
1 Journal of Machine Learning Research (JMLR)
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
1 IEEE Control Systems
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Fields

90 Mechanics of particles and systems (70-XX)
71 Dynamical systems and ergodic theory (37-XX)
56 Systems theory; control (93-XX)
26 Calculus of variations and optimal control; optimization (49-XX)
22 Ordinary differential equations (34-XX)
17 Differential geometry (53-XX)
14 Quantum theory (81-XX)
13 Partial differential equations (35-XX)
8 Nonassociative rings and algebras (17-XX)
8 Global analysis, analysis on manifolds (58-XX)
7 Numerical analysis (65-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
4 General and overarching topics; collections (00-XX)
4 History and biography (01-XX)
4 Topological groups, Lie groups (22-XX)
3 Operator theory (47-XX)
3 Statistics (62-XX)
3 Mechanics of deformable solids (74-XX)
2 Algebraic geometry (14-XX)
2 Group theory and generalizations (20-XX)
2 Relativity and gravitational theory (83-XX)
2 Astronomy and astrophysics (85-XX)
2 Operations research, mathematical programming (90-XX)
1 Measure and integration (28-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Difference and functional equations (39-XX)
1 Sequences, series, summability (40-XX)
1 Integral equations (45-XX)
1 Geometry (51-XX)
1 Convex and discrete geometry (52-XX)
1 Manifolds and cell complexes (57-XX)
1 Probability theory and stochastic processes (60-XX)
1 Computer science (68-XX)
1 Fluid mechanics (76-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Statistical mechanics, structure of matter (82-XX)

Publications by Year

Citations contained in zbMATH Open

139 Publications have been cited 2,160 times in 1,319 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.
282
2003
Nonholonomic mechanical systems with symmetry. Zbl 0886.70014
Bloch, Anthony M.; Krishnaprasad, P. S.; Marsden, Jerrold E.; Murray, Richard M.
211
1996
Control and stabilization of nonholonomic dynamic systems. Zbl 0778.93084
Bloch, Anthony M.; Reyhanoglu, Mahmut; McClamroch, N. Harris
107
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.
99
2000
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.
75
2015
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.
71
2001
The Euler-Poincaré equations and double bracket dissipation. Zbl 0846.58048
Bloch, Anthony; Krishnaprasad, P. S.; Marsden, Jerrold E.; Ratiu, Tudor S.
69
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.
60
1992
Quasivelocities and symmetries in non-holonomic systems. Zbl 1231.37034
Bloch, Anthony M.; Marsden, Jerrold E.; Zenkov, Dmitry V.
45
2009
Completely integrable gradient flows. Zbl 0766.58027
Bloch, Anthony M.; Brockett, Roger W.; Ratiu, Tudor S.
45
1992
Dissipation induced instabilities. Zbl 0834.58025
Bloch, A. M.; Krishnaprasad, P. S.; Marsden, J. E.; Ratiu, T. S.
39
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.
37
2002
Stabilization and tracking in the nonholonomic integrator via sliding modes. Zbl 0866.93085
Bloch, Anthony; Drakunov, Sergey
31
1996
Steepest descent, linear programming, and Hamiltonian flows. Zbl 0729.34028
Bloch, A. M.
28
1990
Nonholonomic Hamilton-Jacobi theory via Chaplygin Hamiltonization. Zbl 1339.70035
Ohsawa, Tomoki; Fernandez, Oscar E.; Bloch, Anthony M.; Zenkov, Dmitry V.
28
2011
The energy-momentum method for the stability of non-holonomic systems. Zbl 0916.70013
Zenkov, Dmitry V.; Bloch, Anthony M.; Marsden, Jerrold E.
27
1998
Stabilization of rigid body dynamics by the Energy-Casimir method. Zbl 0701.93083
Bloch, Anthony M.; Marsden, Jerrold E.
26
1990
A convexity theorem for isospectral manifolds of Jacobi matrices in a compact Lie algebra. Zbl 0715.58004
Bloch, A. M.; Flaschka, H.; Ratiu, T.
26
1990
Representations of Dirac structures on vector spaces and nonlinear L-C circuits. Zbl 0917.58008
Bloch, Anthony M.; Crouch, Peter E.
25
1999
Optimal control of underactuated nonholonomic mechanical systems. Zbl 1367.49017
Hussein, Islam I.; Bloch, Anthony M.
25
2008
Dispersive regularization of the Whitham equation for the Toda lattice. Zbl 0757.34014
Bloch, A. M.; Kodama, Y.
24
1992
Controlled Lagrangians and the stabilization of Euler-Poincaré mechanical systems. Zbl 0980.93065
Bloch, Anthony M.; Leonard, Naomi Ehrich; Marsden, Jerrold E.
20
2001
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.
20
2008
Nonholonomic Hamilton-Jacobi equation and integrability. Zbl 1288.70009
Ohsawa, Tomoki; Bloch, Anthony M.
19
2009
Invariant measures of nonholonomic flows with internal degrees of freedom. Zbl 1116.37315
Zenkov, Dmitry V.; Bloch, Anthony M.
19
2003
Finite controllability of infinite-dimensional quantum systems. Zbl 1368.81086
Bloch, Anthony M.; Brockett, Roger W.; Rangan, Chitra
19
2010
Nonholonomic dynamics. Zbl 1142.70006
Bloch, Anthony M.; Marsden, Jerrold E.; Zenkov, Dmitry V.
18
2005
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.
17
1991
A generalization of Chaplygin’s reducibility theorem. Zbl 1229.37087
Fernandez, O. E.; Mestdag, T.; Bloch, A. M.
17
2009
Nonholonomic control systems on Riemannian manifolds. Zbl 0828.93020
Bloch, A. M.; Crouch, P. E.
16
1995
Dynamics of the \(n\)-dimensional Suslov problem. Zbl 0989.70010
Zenkov, Dmitry V.; Bloch, Anthony M.
15
2000
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
Equivalence of the dynamics of nonholonomic and variational nonholonomic systems for certain initial data. Zbl 1195.70023
Fernandez, Oscar E.; Bloch, Anthony M.
15
2008
Nonholonomic and vakonomic control systems on Riemannian manifolds. Zbl 0788.70006
Bloch, A. M.; Crouch, P. E.
14
1993
Dispersionless Toda and Toeplitz operators. Zbl 1024.37047
Bloch, A.; Golse, F.; Paul, T.; Uribe, A.
14
2003
Optimal control, optimization, and analytical mechanics. Zbl 1054.49506
Bloch, Anthony M.; Crouch, Peter E.
13
1998
Hamiltonian and gradient structures in the Toda flows. Zbl 0929.35146
Bloch, Anthony M.; Gekhtman, Michael I.
13
1998
Controlling homoclinic orbits. Zbl 0709.76053
Bloch, A. M.; Marsden, J. E.
13
1989
Geometric structure-preserving optimal control of a rigid body. Zbl 1203.70042
Bloch, A. M.; Hussein, I. I.; Leok, M.; Sanyal, A. K.
13
2009
The Weitzenböck connection and time reparameterization in nonholonomic mechanics. Zbl 1314.70017
Fernandez, O. E.; Bloch, A. M.
13
2011
Discrete Hamilton-Jacobi theory. Zbl 1286.70025
Ohsawa, Tomoki; Bloch, Anthony M.; Leok, Melvin
13
2011
A Schur-Horn-Kostant convexity theorem for the diffeomorphism group of the annulus. Zbl 0806.22012
Bloch, A. M.; Flaschka, H.; Ratiu, T.
12
1993
Double bracket equations and geodesic flows on symmetric spaces. Zbl 0884.58079
Bloch, Anthony M.; Brockett, Roger W.; Crouch, Peter E.
12
1997
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.
12
2004
A geometric approach to the optimal control of nonholonomic mechanical systems. Zbl 1329.49032
Bloch, Anthony; Colombo, Leonardo; Gupta, Rohit; Martín de Diego, David
11
2015
Hamiltonian and gradient flows, algorithms and control. Zbl 0801.00027
10
1994
Asymptotic Hamiltonian dynamics: The Toda lattice, the three-wave interaction and the non-holonomic Chaplygin sleigh. Zbl 0964.37042
Bloch, Anthony M.
10
2000
Optimal control and geodesic flows. Zbl 0877.93029
Bloch, Anthony M.; Crouch, Peter E.
10
1996
Radiation induced instability. Zbl 1071.34057
Hagerty, Patrick; Bloch, Anthony M.; Weinstein, Michael I.
10
2003
The Boltzmann–Hamel equations for the optimal control of mechanical systems with nonholonomic constraints. Zbl 1213.49029
Maruskin, Jared M.; Bloch, Anthony M.
10
2011
Variational point-obstacle avoidance on Riemannian manifolds. Zbl 1464.93017
Bloch, Anthony; Camarinha, Margarida; Colombo, Leonardo
10
2021
Stabilization of nonholonomic systems using isospectral flows. Zbl 1056.93603
Bloch, Anthony M.; Drakunov, Sergey V.; Kinyon, Michael K.
9
2000
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.
9
1995
Estimation, principal components and Hamiltonian systems. Zbl 0607.93057
Bloch, Anthony
9
1985
Dynamic interpolation for obstacle avoidance on Riemannian manifolds. Zbl 1480.93302
Bloch, Anthony; Camarinha, Margarida; Colombo, Leonardo J.
9
2021
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.
9
2002
A completely integrable Hamiltonian system associated with line fitting in complex vector spaces. Zbl 0604.58032
Bloch, Anthony M.
9
1985
Dynamic coverage optimal control for multiple spacecraft interferometric imaging. Zbl 1113.49007
Hussein, Islam I.; Bloch, Anthony M.
9
2007
The Lyapunov-Malkin theorem and stabilization of the unicycle with rider. Zbl 0994.93046
Zenkov, Dmitry V.; Bloch, Anthony M.; Marsden, Jerrold E.
8
2002
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.
8
2017
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.
8
2013
Hamel’s formalism for infinite-dimensional mechanical systems. Zbl 1360.70023
Shi, Donghua; Berchenko-Kogan, Yakov; Zenkov, Dmitry V.; Bloch, Anthony M.
8
2017
Mean-square integral input-to-state stability of nonlinear impulsive semi-Markov jump delay systems. Zbl 1459.93159
Lin, Yu; Zhang, Yu; Bloch, Anthony
7
2021
The geometry and integrability of the Suslov problem. Zbl 1315.37031
Fernandez, Oscar E.; Bloch, Anthony M.; Zenkov, Dmitry V.
7
2014
Sorting with the dispersionless limit of the Toda lattice. Zbl 0738.35083
Brockett, R. W.; Bloch, Anthony
7
1990
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.
7
2012
The Toda PDE and the geometry of the diffeomorphism group of the annulus. Zbl 0856.35004
Bloch, Anthony M.; Flaschka, Hermann; Ratiu, Tudor S.
6
1996
Feedback stabilization of relative equilibria for mechanical systems with symmetry. Zbl 0940.93066
Bloch, Anthony M.; Marsden, Jerrold E.; Sánchez de Alvares, Gloria
6
1997
Hill’s equation with random forcing terms. Zbl 1162.34045
Adams, Fred C.; Bloch, Anthony M.
6
2008
Newton’s law and integrability of nonholonomic systems. Zbl 1047.70621
Bloch, A. M.; Crouch, P. E.
6
1998
Stability analysis of a rotating flexible system. Zbl 0682.70021
Bloch, Anthony M.
6
1989
A variational problem on Stiefel manifolds. Zbl 1136.49031
Bloch, Anthony M.; Crouch, Peter E.; Sanyal, Amit K.
6
2006
On an isospectral Lie-Poisson system and its Lie algebra. Zbl 1105.37033
Bloch, Anthony M.; Iserles, Arieh
6
2006
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.
5
1994
Commutators of skew-symmetric matrices. Zbl 1100.17004
Bloch, Anthony M.; Iserles, Arieh
5
2005
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
Stabilizability of nonholonomic control systems. Zbl 0766.93061
Bloch, Anthony M.
5
1992
Neighboring extremal optimal control for mechanical systems on Riemannian manifolds. Zbl 1369.49063
Bloch, Anthony M.; Gupta, Rohit; Kolmanovsky, Ilya V.
5
2016
Embedded geodesic problems and optimal control for matrix Lie groups. Zbl 1230.49014
Bloch, Anthony M.; Crouch, Peter E.; Nordkvist, Nikolaj; Sanyal, Amit K.
5
2011
Multilinear control systems theory. Zbl 1460.93014
Chen, Can; Surana, Amit; Bloch, Anthony M.; Rajapakse, Indika
4
2021
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.
4
2005
Quantization of a nonholonomic system. Zbl 1228.81194
Bloch, Anthony M.; Rojo, Alberto G.
4
2008
Lie algebraic aspects of the finite nonperiodic Toda flows. Zbl 1120.37044
Bloch, Anthony M.; Gekhtman, Michael I.
4
2007
Steering the eigenvalues of the density operator in Hamiltonian-controlled quantum Lindblad systems. Zbl 1390.81203
Rooney, Patrick; Bloch, Anthony M.; Rangan, Chitra
4
2018
The geometric nature of the Flaschka transformation. Zbl 1368.37065
Bloch, Anthony M.; Gay-Balmaz, François; Ratiu, Tudor S.
4
2017
On two notions of total positivity for partial flag varieties. Zbl 1516.14089
Bloch, Anthony M.; Karp, Steven N.
4
2023
A Poincaré-Bendixson theorem for hybrid systems. Zbl 1442.34072
Clark, William; Bloch, Anthony; Colombo, Leonardo
4
2020
Hill’s equation with random forcing parameters: the limit of delta function barriers. Zbl 1342.34115
Adams, Fred C.; Bloch, Anthony M.
3
2009
An extension to the theory of controlled Lagrangians using the Helmholtz conditions. Zbl 1417.49048
Farré Puiggalí, Marta; Bloch, Anthony M.
3
2019
A Poincaré-Bendixson theorem for hybrid dynamical systems on directed graphs. Zbl 1436.37054
Clark, William; Bloch, Anthony
3
2020
The variational discretization of the constrained higher-order Lagrange-Poincaré equations. Zbl 1409.37081
Bloch, Anthony; Colombo, Leonardo; Jiménez, Fernando
3
2019
Maximal tori of some symplectomorphism groups and applications to convexity. Zbl 1149.58305
Bloch, Anthony; Ould el Hadrami, Mohamed; Flaschka, Hermann; Ratiu, Tudor S.
3
1997
The Helmholtz conditions and the method of controlled Lagrangians. Zbl 1337.49062
Bloch, Anthony M.; Krupka, Demeter; Zenkov, Dmitry V.
3
2015
The Kähler structure of the total least squares problem, Brockett’s steepest descent equations, and constrained flows. Zbl 0726.93085
Bloch, Anthony M.
3
1990
Symmetries, conservation laws, and control. Zbl 1146.70340
Bloch, Anthony M.; Leonard, Naomi Ehrich
3
2002
Optimal control and geodesics on quadratic matrix Lie groups. Zbl 1160.49018
Bloch, Anthony M.; Crouch, Peter E.; Marsden, Jerrold E.; Sanyal, Amit K.
3
2008
Dynamics of symplectic subvolumes. Zbl 1162.53059
Maruskin, Jared M.; Scheeres, Daniel J.; Bloch, Anthony M.
3
2009
On two notions of total positivity for partial flag varieties. Zbl 1516.14089
Bloch, Anthony M.; Karp, Steven N.
4
2023
Gradient flows, adjoint orbits, and the topology of totally nonnegative flag varieties. Zbl 1526.17011
Bloch, Anthony M.; Karp, Steven N.
2
2023
Virtual nonholonomic constraints: a geometric approach. Zbl 1520.93095
Simoes, Alexandre Anahory; Stratoglou, Efstratios; Bloch, Anthony; Colombo, Leonardo J.
1
2023
Variational point-obstacle avoidance on Riemannian manifolds. Zbl 1464.93017
Bloch, Anthony; Camarinha, Margarida; Colombo, Leonardo
10
2021
Dynamic interpolation for obstacle avoidance on Riemannian manifolds. Zbl 1480.93302
Bloch, Anthony; Camarinha, Margarida; Colombo, Leonardo J.
9
2021
Mean-square integral input-to-state stability of nonlinear impulsive semi-Markov jump delay systems. Zbl 1459.93159
Lin, Yu; Zhang, Yu; Bloch, Anthony
7
2021
Multilinear control systems theory. Zbl 1460.93014
Chen, Can; Surana, Amit; Bloch, Anthony M.; Rajapakse, Indika
4
2021
Families of periodic orbits: closed 1-forms and global continuability. Zbl 1476.37036
Kvalheim, Matthew D.; Bloch, Anthony M.
1
2021
A Poincaré-Bendixson theorem for hybrid systems. Zbl 1442.34072
Clark, William; Bloch, Anthony; Colombo, Leonardo
4
2020
A Poincaré-Bendixson theorem for hybrid dynamical systems on directed graphs. Zbl 1436.37054
Clark, William; Bloch, Anthony
3
2020
Hamel’s formalism for classical field theories. Zbl 1448.70043
Shi, Donghua; Zenkov, Dmitry V.; Bloch, Anthony M.
2
2020
An extension to the theory of controlled Lagrangians using the Helmholtz conditions. Zbl 1417.49048
Farré Puiggalí, Marta; Bloch, Anthony M.
3
2019
The variational discretization of the constrained higher-order Lagrange-Poincaré equations. Zbl 1409.37081
Bloch, Anthony; Colombo, Leonardo; Jiménez, Fernando
3
2019
Steering the eigenvalues of the density operator in Hamiltonian-controlled quantum Lindblad systems. Zbl 1390.81203
Rooney, Patrick; Bloch, Anthony M.; Rangan, Chitra
4
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.
8
2017
Hamel’s formalism for infinite-dimensional mechanical systems. Zbl 1360.70023
Shi, Donghua; Berchenko-Kogan, Yakov; Zenkov, Dmitry V.; Bloch, Anthony M.
8
2017
The geometric nature of the Flaschka transformation. Zbl 1368.37065
Bloch, Anthony M.; Gay-Balmaz, François; Ratiu, Tudor S.
4
2017
Optimal control problems with symmetry breaking cost functions. Zbl 1428.49005
Bloch, Anthony M.; Colombo, Leonardo J.; Gupta, Rohit; Ohsawa, Tomoki
3
2017
Combined homotopy and neighboring extremal optimal control. Zbl 1370.49028
Gupta, Rohit; Bloch, Anthony M.; Kolmanovsky, Ilya V.
2
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
Neighboring extremal optimal control for mechanical systems on Riemannian manifolds. Zbl 1369.49063
Bloch, Anthony M.; Gupta, Rohit; Kolmanovsky, Ilya V.
5
2016
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.
75
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
11
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.
7
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.
8
2013
Random Hill’s equations, random walks, and products of random matrices. Zbl 1321.34043
Adams, Fred C.; Bloch, Anthony M.; Lagarias, Jeffrey C.
1
2013
Hill’s equation with small fluctuations: cycle to cycle variations and stochastic processes. Zbl 1282.70023
Adams, Fred C.; Bloch, Anthony M.
1
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.
7
2012
Guest editorial: special issue on control of quantum mechanical systems. Zbl 1369.81009
2
2012
Nonholonomic Hamilton-Jacobi theory via Chaplygin Hamiltonization. Zbl 1339.70035
Ohsawa, Tomoki; Fernandez, Oscar E.; Bloch, Anthony M.; Zenkov, Dmitry V.
28
2011
The Weitzenböck connection and time reparameterization in nonholonomic mechanics. Zbl 1314.70017
Fernandez, O. E.; Bloch, A. M.
13
2011
Discrete Hamilton-Jacobi theory. Zbl 1286.70025
Ohsawa, Tomoki; Bloch, Anthony M.; Leok, Melvin
13
2011
The Boltzmann–Hamel equations for the optimal control of mechanical systems with nonholonomic constraints. Zbl 1213.49029
Maruskin, Jared M.; Bloch, Anthony M.
10
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.
5
2011
Nonholonomic mechanics, dissipation and quantization. Zbl 1235.70034
Bloch, Anthony M.
2
2011
Obituary: Jerrold Eldon Marsden. Zbl 1394.01071
Murray, Richard; Bloch, Tony; Krishnaprasad, P. S.; Leonard, Naomi
1
2011
Finite controllability of infinite-dimensional quantum systems. Zbl 1368.81086
Bloch, Anthony M.; Brockett, Roger W.; Rangan, Chitra
19
2010
Kinematics of the rolling sphere and quantum spin. Zbl 1372.70020
Bloch, Anthony M.; Rojo, Alberto G.
3
2010
Hill’s equation with random forcing parameters: determination of growth rates through random matrices. Zbl 1198.34104
Adams, Fred C.; Bloch, Anthony M.
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
Quasivelocities and symmetries in non-holonomic systems. Zbl 1231.37034
Bloch, Anthony M.; Marsden, Jerrold E.; Zenkov, Dmitry V.
45
2009
Nonholonomic Hamilton-Jacobi equation and integrability. Zbl 1288.70009
Ohsawa, Tomoki; Bloch, Anthony M.
19
2009
A generalization of Chaplygin’s reducibility theorem. Zbl 1229.37087
Fernandez, O. E.; Mestdag, T.; Bloch, A. M.
17
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
Geometric structure-preserving optimal control of a rigid body. Zbl 1203.70042
Bloch, A. M.; Hussein, I. I.; Leok, M.; Sanyal, A. K.
13
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.
3
2009
Dynamics of symplectic subvolumes. Zbl 1162.53059
Maruskin, Jared M.; Scheeres, Daniel J.; Bloch, Anthony M.
3
2009
Optimal control of underactuated nonholonomic mechanical systems. Zbl 1367.49017
Hussein, Islam I.; Bloch, Anthony M.
25
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.
20
2008
Equivalence of the dynamics of nonholonomic and variational nonholonomic systems for certain initial data. Zbl 1195.70023
Fernandez, Oscar E.; Bloch, Anthony M.
15
2008
Hill’s equation with random forcing terms. Zbl 1162.34045
Adams, Fred C.; Bloch, Anthony M.
6
2008
Quantization of a nonholonomic system. Zbl 1228.81194
Bloch, Anthony M.; Rojo, Alberto G.
4
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.
3
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.
9
2007
Lie algebraic aspects of the finite nonperiodic Toda flows. Zbl 1120.37044
Bloch, Anthony M.; Gekhtman, Michael I.
4
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
A variational problem on Stiefel manifolds. Zbl 1136.49031
Bloch, Anthony M.; Crouch, Peter E.; Sanyal, Amit K.
6
2006
On an isospectral Lie-Poisson system and its Lie algebra. Zbl 1105.37033
Bloch, Anthony M.; Iserles, Arieh
6
2006
Nonholonomic dynamics. Zbl 1142.70006
Bloch, Anthony M.; Marsden, Jerrold E.; Zenkov, Dmitry V.
18
2005
Commutators of skew-symmetric matrices. Zbl 1100.17004
Bloch, Anthony M.; Iserles, Arieh
5
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.
4
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.
12
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
Dynamics of multibody systems in planar motion in a central gravitational field. Zbl 1067.83519
Sanyal, Amit K.; Bloch, Anthony; McClamroch, N. Harris
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.
282
2003
Invariant measures of nonholonomic flows with internal degrees of freedom. Zbl 1116.37315
Zenkov, Dmitry V.; Bloch, Anthony M.
19
2003
Dispersionless Toda and Toeplitz operators. Zbl 1024.37047
Bloch, A.; Golse, F.; Paul, T.; Uribe, A.
14
2003
Radiation induced instability. Zbl 1071.34057
Hagerty, Patrick; Bloch, Anthony M.; Weinstein, Michael I.
10
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.
37
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.
9
2002
The Lyapunov-Malkin theorem and stabilization of the unicycle with rider. Zbl 0994.93046
Zenkov, Dmitry V.; Bloch, Anthony M.; Marsden, Jerrold E.
8
2002
Symmetries, conservation laws, and control. Zbl 1146.70340
Bloch, Anthony M.; Leonard, Naomi Ehrich
3
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.
71
2001
Controlled Lagrangians and the stabilization of Euler-Poincaré mechanical systems. Zbl 0980.93065
Bloch, Anthony M.; Leonard, Naomi Ehrich; Marsden, Jerrold E.
20
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.
99
2000
Dynamics of the \(n\)-dimensional Suslov problem. Zbl 0989.70010
Zenkov, Dmitry V.; Bloch, Anthony M.
15
2000
Asymptotic Hamiltonian dynamics: The Toda lattice, the three-wave interaction and the non-holonomic Chaplygin sleigh. Zbl 0964.37042
Bloch, Anthony M.
10
2000
Stabilization of nonholonomic systems using isospectral flows. Zbl 1056.93603
Bloch, Anthony M.; Drakunov, Sergey V.; Kinyon, Michael K.
9
2000
Representations of Dirac structures on vector spaces and nonlinear L-C circuits. Zbl 0917.58008
Bloch, Anthony M.; Crouch, Peter E.
25
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.
27
1998
Optimal control, optimization, and analytical mechanics. Zbl 1054.49506
Bloch, Anthony M.; Crouch, Peter E.
13
1998
Hamiltonian and gradient structures in the Toda flows. Zbl 0929.35146
Bloch, Anthony M.; Gekhtman, Michael I.
13
1998
Newton’s law and integrability of nonholonomic systems. Zbl 1047.70621
Bloch, A. M.; Crouch, P. E.
6
1998
Discontinuous stabilization of Brockett’s canonical driftless system. Zbl 0927.93041
Bloch, Anthony; Drakunov, Sergey
3
1998
Double bracket equations and geodesic flows on symmetric spaces. Zbl 0884.58079
Bloch, Anthony M.; Brockett, Roger W.; Crouch, Peter E.
12
1997
Feedback stabilization of relative equilibria for mechanical systems with symmetry. Zbl 0940.93066
Bloch, Anthony M.; Marsden, Jerrold E.; Sánchez de Alvares, Gloria
6
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.
3
1997
Nonholonomic mechanical systems with symmetry. Zbl 0886.70014
Bloch, Anthony M.; Krishnaprasad, P. S.; Marsden, Jerrold E.; Murray, Richard M.
211
1996
...and 39 more Documents
all top 5

Cited by 1,619 Authors

74 Bloch, Anthony Michael
42 Marsden, Jerrold Eldon
42 Martín de Diego, David
33 Colombo, Leonardo Jesus
32 de León Rodríguez, Manuel
24 Ratiu, Tudor Stefan
23 Gay-Balmaz, François
20 Borisov, Alekseĭ Vladimirovich
19 Mamaev, Ivan Sergeevich
18 Marrero, Juan Carlos
18 Ortega, Romeo S.
15 Yoshimura, Hiroaki
15 Zenkov, Dmitry V.
14 Holm, Darryl Dallas
13 García-Naranjo, Luis C.
13 Sansonetto, Nicola
12 Bizyaev, Ivan Alekseevich
12 Fassò, Francesco
11 Astolfi, Alessandro
11 Kilin, Aleksandr Aleksandrovich
11 Kirillov, Oleg N.
11 Leonard, Naomi Ehrich
11 Ohsawa, Tomoki
11 Putkaradze, Vakhtang
10 Balseiro, Paula
10 Cendra, Hernán
10 Jovanović, Božidar Žarko
10 Silva Leite, Fátima
9 Anahory Simoes, Alexandre
9 Helmke, Uwe R.
9 Jiménez, Fernando
9 Mestdag, Tom
9 van der Schaft, Arjan J.
9 Zuccalli, Marcela
8 Banavar, Ravi N.
8 Esen, Oğul
8 Grillo, Sergio Daniel
8 Guha, Partha
8 Krishnaprasad, P.s.
8 Laínz, Manuel
8 Nakamura, Yoshimasa
8 Ober-Blöbaum, Sina
8 Remsing, Claudiu-Cristian
8 Sigalotti, Mario
7 Chang, Dong Eui
7 Gupta, Rohit
7 Kappeler, Thomas
7 Leok, Melvin
7 Tronci, Cesare
7 Tsyganov, Andreĭ Vladimirovich
6 Aguilar-Ibáñez, Carlos Fernando
6 Bambusi, Dario
6 Biggs, Rory
6 Boscain, Ugo
6 Cantrijn, Frans
6 Chentouf, Boumediène
6 Cortés, Jorge
6 Do, Khac Duc
6 Ercolani, Nicholas M.
6 Fernandez, Oscar E.
6 Ferraro, Sebastián J.
6 Gajić, Borislav
6 Gekhtman, Mikhaèl I.
6 Hochgerner, Simon
6 Koiller, Jair
6 Kvalheim, Matthew D.
6 McClamroch, N. Harris
6 Natsiavas, Sotirios
6 Paraskevopoulos, Elias A.
6 Sardón, Cristina
6 Shiriaev, Anton Stanislavovich
6 Sorin, Alexander S.
6 Wu, Yuqiang
5 Bejancu, Aurel
5 Brockett, Roger Ware
5 Camarinha, Margarida
5 Crouch, Peter E.
5 Dirr, Gunther
5 Dragović, Vladimir
5 Faybusovich, Leonid E.
5 Fedorov, Yuri N.
5 Flaßkamp, Kathrin
5 Goodman, Jacob R.
5 Holmes, Philip J.
5 Huo, Wei
5 Hüper, Knut
5 Kai, Tatsuya
5 Lewis, Andrew D.
5 Martínez Fernández, Eduardo
5 Maschke, Bernhard M.
5 Mikishanina, Evgeniya Arifzhanovna
5 Modin, Klas
5 Paul, Thierry
5 Pivovarova, Elena Nikolaevna
5 Reyhanoglu, Mahmut
5 Shi, Donghua
5 Śniatycki, Jędrzej
4 Acosta, José Ángel
4 Adams, Fred C.
4 Arnaudon, Alexis
...and 1,519 more Authors
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Cited in 227 Serials

77 Automatica
61 Systems & Control Letters
54 Journal of Geometric Mechanics
52 Journal of Mathematical Physics
48 Regular and Chaotic Dynamics
47 Reports on Mathematical Physics
47 Journal of Geometry and Physics
46 Journal of Nonlinear Science
42 Physica D
35 Nonlinear Dynamics
34 International Journal of Control
30 International Journal of Robust and Nonlinear Control
22 Communications in Mathematical Physics
21 International Journal of Geometric Methods in Modern Physics
20 Journal of Physics A: Mathematical and Theoretical
18 SIAM Journal on Control and Optimization
18 European Journal of Control
16 Journal of the Franklin Institute
16 Nonlinearity
15 Mathematical Problems in Engineering
14 Archive for Rational Mechanics and Analysis
14 Physics Letters. A
13 Linear Algebra and its Applications
12 Communications in Nonlinear Science and Numerical Simulation
12 Journal of Dynamical and Control Systems
11 Applied Mathematics and Computation
11 Journal of Computational and Applied Mathematics
10 Multibody System Dynamics
9 Journal of Differential Equations
8 Acta Applicandae Mathematicae
8 MCSS. Mathematics of Control, Signals, and Systems
8 Asian Journal of Control
7 Acta Mechanica
7 Theoretical and Mathematical Physics
7 Japan Journal of Industrial and Applied Mathematics
7 Dynamical Systems
7 Theoretical and Applied Mechanics
6 Applied Mathematics and Mechanics. (English Edition)
6 Journal of Robotic Systems
6 Discrete and Continuous Dynamical Systems
5 Journal of Computational Physics
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 Transactions of the American Mathematical Society
5 Differential Geometry and its Applications
5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
5 Foundations of Computational Mathematics
5 Russian Journal of Nonlinear Dynamics
4 Communications on Pure and Applied Mathematics
4 Letters in Mathematical Physics
4 Mathematics of Computation
4 Chaos, Solitons and Fractals
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 International Journal of Adaptive Control and Signal Processing
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 European Journal of Mechanics. A. Solids
4 Discrete and Continuous Dynamical Systems. Series B
4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
4 Proceedings of the Steklov Institute of Mathematics
4 Nonlinear Analysis. Hybrid Systems
4 Discrete and Continuous Dynamical Systems. Series S
4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
4 Communications in Mathematics
4 Journal of Computational Dynamics
4 International Journal of Systems Science. Principles and Applications of Systems and Integration
4 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
3 International Journal of Systems Science
3 Journal of Mathematical Analysis and Applications
3 Reviews in Mathematical Physics
3 Information Sciences
3 Journal of Functional Analysis
3 Mathematics and Computers in Simulation
3 Proceedings of the American Mathematical Society
3 Advances in Applied Mathematics
3 Applied Mathematics Letters
3 Journal of Intelligent & Robotic Systems
3 Applied Mathematical Modelling
3 Celestial Mechanics and Dynamical Astronomy
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 Lobachevskii Journal of Mathematics
3 Qualitative Theory of Dynamical Systems
3 Journal of Nonlinear Mathematical Physics
3 Nonlinear Analysis. Real World Applications
3 SIAM Journal on Applied Dynamical Systems
3 Acta Mechanica Sinica
2 Modern Physics Letters A
2 Geophysical and Astrophysical Fluid Dynamics
2 International Journal of Engineering Science
2 Journal of Statistical Physics
2 Physica A
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
...and 127 more Serials
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Cited in 55 Fields

693 Mechanics of particles and systems (70-XX)
455 Dynamical systems and ergodic theory (37-XX)
442 Systems theory; control (93-XX)
161 Differential geometry (53-XX)
114 Calculus of variations and optimal control; optimization (49-XX)
100 Partial differential equations (35-XX)
97 Ordinary differential equations (34-XX)
77 Numerical analysis (65-XX)
71 Quantum theory (81-XX)
60 Global analysis, analysis on manifolds (58-XX)
56 Fluid mechanics (76-XX)
51 Mechanics of deformable solids (74-XX)
38 Statistical mechanics, structure of matter (82-XX)
37 Topological groups, Lie groups (22-XX)
30 Linear and multilinear algebra; matrix theory (15-XX)
26 Computer science (68-XX)
25 Operations research, mathematical programming (90-XX)
21 Nonassociative rings and algebras (17-XX)
20 Algebraic geometry (14-XX)
20 Probability theory and stochastic processes (60-XX)
18 Biology and other natural sciences (92-XX)
13 Operator theory (47-XX)
13 Statistics (62-XX)
13 Classical thermodynamics, heat transfer (80-XX)
12 Information and communication theory, circuits (94-XX)
11 Difference and functional equations (39-XX)
8 Combinatorics (05-XX)
8 Manifolds and cell complexes (57-XX)
8 Optics, electromagnetic theory (78-XX)
7 Special functions (33-XX)
7 Relativity and gravitational theory (83-XX)
7 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
6 Convex and discrete geometry (52-XX)
5 Algebraic topology (55-XX)
4 History and biography (01-XX)
4 Functional analysis (46-XX)
3 General and overarching topics; collections (00-XX)
3 Commutative algebra (13-XX)
3 Real functions (26-XX)
3 Approximations and expansions (41-XX)
2 Mathematical logic and foundations (03-XX)
2 Associative rings and algebras (16-XX)
2 Group theory and generalizations (20-XX)
2 Measure and integration (28-XX)
2 Potential theory (31-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Abstract harmonic analysis (43-XX)
2 Geometry (51-XX)
2 Astronomy and astrophysics (85-XX)
2 Geophysics (86-XX)
1 Number theory (11-XX)
1 \(K\)-theory (19-XX)
1 Functions of a complex variable (30-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Integral equations (45-XX)

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