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Journal of Geometric Mechanics

Short Title: J. Geom. Mech.
Publisher: American Institute of Mathematical Sciences (AIMS), Springfield, MO
ISSN: 1941-4889; 1941-4897/e
Online: https://www.aimsciences.org/journal/1941-4889
http://aimsciences.org/journals/home.jsp?journalID=17
Comments: Indexed cover-to-cover
Documents Indexed: 296 Publications (since 2009)
References Indexed: 180 Publications with 5,653 References.
all top 5

Authors

11 de León Rodríguez, Manuel
10 Martín de Diego, David
8 Román-Roy, Narciso
7 Fernandez, Javier Alejandro
7 Grabowska, Katarzyna
7 Grillo, Sergio Daniel
7 Marrero, Juan Carlos
7 Zuccalli, Marcela
6 Castrillón López, Marco
6 Ferrer, Sebastián
6 Ortega, Juan-Pablo
6 Tronci, Cesare
5 Bloch, Anthony Michael
5 Colombo, Leonardo Jesus
5 Fassò, Francesco
5 Gay-Balmaz, François
5 Holm, Darryl D.
4 Cendra, Hernán
4 Crespo, Francisco
4 Esen, Oğul
4 García, Pedro Luis
4 Grabowski, Janusz
4 Lewis, Andrew D.
4 Michor, Peter Wolfram
4 Montaldi, James A.
4 Ohsawa, Tomoki
4 Ratiu, Tudor Stefan
4 Sansonetto, Nicola
4 Scheurle, Jürgen
3 Bauer, Martin
3 Bruveris, Martins
3 Crampin, Mike
3 Dullin, Holger R.
3 Escher, Joachim
3 Fernández Martínez, Antonio
3 García-Naranjo, Luis C.
3 Ibort, Alberto
3 Jiménez, Fernando
3 Jóźwikowski, Michał
3 Koiller, Jair
3 Kolev, Boris
3 Kupferman, Raz
3 Marsden, Jerrold Eldon
3 Mestdag, Tom
3 Muñoz-Lecanda, Miguel C.
3 Shanbrom, Corey
3 Silva Leite, Fátima
3 Tori, Cora
3 Urbański, Paweł
3 Vizman, Cornelia
2 Balseiro, Paula
2 Barbero-Liñán, María
2 Bates, Larry M.
2 Bruce, Andrew James
2 Bucataru, Ioan
2 Bursztyn, Henrique
2 Cabrera, Alejandro
2 Cariñena, José F.
2 Cotter, Colin John
2 Crouch, Peter E.
2 Cruz, Inês
2 Díaz, Viviana Alejandra
2 Durán Fernandez, Carlos Eduardo
2 Ferraro, Sebastián J.
2 Giacobbe, Andrea
2 Gràcia, Xavier
2 Graiff Zurita, Sebastián Elías
2 Grigoryeva, Lyudmila
2 Harms, Philipp
2 Hochgerner, Simon
2 Hohloch, Sonja
2 Hone, Andrew N. W.
2 Ivanov, Rossen I.
2 Jacobs, Henry O.
2 Jotz, Madeleine
2 Kosmann-Schwarzbach, Yvette
2 Marmo, Giuseppe
2 Molero, Francisco Javier
2 Nordkvist, Nikolaj
2 Olver, Peter John
2 Otero, Diego
2 Poncin, Norbert
2 Prieto-Martínez, Pedro Daniel
2 Rañada, Manuel F.
2 Respondek, Witold
2 Rivas, Xavier
2 Rodrigo, César
2 Rotkiewicz, Mikołaj
2 Salgado, Modesto R.
2 Salomone, Leandro M.
2 Sarlet, Willy
2 Shachar, Asaf
2 Shaddad, Amna
2 Shafiee, Mohammad Ali
2 Shashikanth, Banavara N.
2 Śniatycki, Jędrzej
2 Stoica, Cristina
2 Thompson, Gerard
2 Tsyganov, Andreĭ Vladimirovich
2 Van Goethem, Nicolas
...and 286 more Authors
all top 5

Fields

145 Mechanics of particles and systems (70-XX)
140 Differential geometry (53-XX)
122 Dynamical systems and ergodic theory (37-XX)
54 Global analysis, analysis on manifolds (58-XX)
34 Partial differential equations (35-XX)
34 Calculus of variations and optimal control; optimization (49-XX)
27 Ordinary differential equations (34-XX)
21 Topological groups, Lie groups (22-XX)
19 Fluid mechanics (76-XX)
17 Systems theory; control (93-XX)
15 Numerical analysis (65-XX)
14 Nonassociative rings and algebras (17-XX)
11 Mechanics of deformable solids (74-XX)
10 General and overarching topics; collections (00-XX)
9 Probability theory and stochastic processes (60-XX)
8 Quantum theory (81-XX)
7 History and biography (01-XX)
7 Statistical mechanics, structure of matter (82-XX)
6 Manifolds and cell complexes (57-XX)
5 Algebraic geometry (14-XX)
5 Group theory and generalizations (20-XX)
5 Functional analysis (46-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Category theory; homological algebra (18-XX)
4 Algebraic topology (55-XX)
3 Commutative algebra (13-XX)
3 Statistics (62-XX)
3 Computer science (68-XX)
3 Relativity and gravitational theory (83-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Associative rings and algebras (16-XX)
2 Difference and functional equations (39-XX)
2 Operator theory (47-XX)
2 Biology and other natural sciences (92-XX)
2 Mathematics education (97-XX)
1 Combinatorics (05-XX)
1 Number theory (11-XX)
1 Field theory and polynomials (12-XX)
1 Real functions (26-XX)
1 Measure and integration (28-XX)
1 Functions of a complex variable (30-XX)
1 Special functions (33-XX)
1 Abstract harmonic analysis (43-XX)
1 Convex and discrete geometry (52-XX)
1 General topology (54-XX)
1 Geophysics (86-XX)
1 Information and communication theory, circuits (94-XX)

Publications by Year

Citations contained in zbMATH Open

199 Publications have been cited 1,013 times in 745 Documents Cited by Year
Sobolev metrics on shape space of surfaces. Zbl 1262.58004
Bauer, Martin; Harms, Philipp; Michor, Peter W.
42
2011
Linear almost Poisson structures and Hamilton-Jacobi equation. Applications to nonholonomic mechanics. Zbl 1226.37045
de León, Manuel; Marrero, Juan Carlos; Martín de Diego, David
41
2010
Right-invariant Sobolev metrics of fractional order on the diffeomorphism group of the circle. Zbl 1308.58005
Escher, Joachim; Kolev, Boris
31
2014
On Euler’s equation and ‘EPDiff’. Zbl 1274.35277
Mumford, David; Michor, Peter W.
20
2013
Variational formulation of commuting Hamiltonian flows: multi-time Lagrangian 1-forms. Zbl 1330.37057
Suris, Yuri B.
18
2013
Sobolev metrics on shape space. II: Weighted Sobolev metrics and almost local metrics. Zbl 1281.58003
Bauer, Martin; Harms, Philipp; Michor, Peter W.
18
2012
Integrable Euler top and nonholonomic Chaplygin ball. Zbl 1348.70014
Tsiganov, Andrey
18
2011
\(G\)-Chaplygin systemswith internal symmetries, truncation, and an (almost) symplecticview of Chaplygin’s ball. Zbl 1168.53327
Hochgerner, Simon; García-Naranjo, Luis
17
2009
Clebsch optimal control formulation in mechanics. Zbl 1233.49005
Gay-Balmaz, François; Ratiu, Tudor S.
17
2011
The supergeometry of Loday algebroids. Zbl 1294.53072
Grabowski, Janusz; Khudaverdyan, David; Poncin, Norbert
17
2013
Geodesic Vlasov equations and their integrable moment closures. Zbl 1190.82033
Holm, Darryl D.; Tronci, Cesare
15
2009
The geometry and dynamics of interacting rigid bodies and point vortices. Zbl 1191.53055
Vankerschaver, Joris; Kanso, Eva; Marsden, Jerrold E.
15
2009
Nonholonomic Hamilton-Jacobi equation and integrability. Zbl 1288.70009
Ohsawa, Tomoki; Bloch, Anthony M.
15
2009
Point vortices on the sphere: stability of symmetric relative equilibria. Zbl 1248.70020
Laurent-Polz, Frederic; Montaldi, James; Roberts, Mark
15
2011
Higher-order variational problems on Lie groups and optimal control applications. Zbl 1307.70018
Colombo, Leonardo; Martín de Diego, David
15
2014
Three-dimensional discrete systems of Hirota-Kimura type and deformed Lie-Poisson algebras. Zbl 1168.37318
Hone, Andrew N. W.; Petrera, Matteo
14
2009
Geometry of matrix decompositions seen through optimal transport and information geometry. Zbl 1368.15010
Modin, Klas
13
2017
Completeness properties of Sobolev metrics on the space of curves. Zbl 1328.58007
Bruveris, Martins
12
2015
Tulczyjew triples in higher derivative field theory. Zbl 1367.70062
Grabowska, Katarzyna; Vitagliano, Luca
11
2015
A new multisymplectic unified formalism for second order classical field theories. Zbl 1372.70057
Prieto-Martínez, Pedro Daniel; Román-Roy, Narciso
11
2015
The Hess-Appelrot system. I. Invariant torus and its normal hyperbolicity. Zbl 1264.05074
Lubowiecki, Paweł; Żołądek, Henryk
11
2012
A property of conformally Hamiltonian vector fields; application to the Kepler problem. Zbl 1417.37187
Marle, Charles-Michel
11
2012
Shape analysis on Lie groups with applications in computer animation. Zbl 1366.65018
Celledoni, Elena; Eslitzbichler, Markus; Schmeding, Alexander
11
2016
Semi-basic 1-forms and Helmholtz conditions for the inverse problem of the calculus of variations. Zbl 1189.58006
Bucataru, Ioan; Dahl, Matias F.
10
2009
The non-Riemannian dislocated crystal: a tribute to Ekkehart Kröner (1919–2000). Zbl 1281.74029
Van Goethem, Nicolas
10
2010
A family of compact semitoric systems with two focus-focus singularities. Zbl 1428.37053
Hohloch, Sonja; Palmer, Joseph
10
2018
Two-component higher order Camassa-Holm systems with fractional inertia operator: a geometric approach. Zbl 1321.35197
Escher, Joachim; Lyons, Tony
10
2015
A Hamilton-Jacobi theory on Poisson manifolds. Zbl 1304.70019
de León, Manuel; Martín de Diego, David; Vaquero, Miguel
10
2014
Sub-Riemannian and sub-Lorentzian geometry on SU(1,1) and on its universal cover. Zbl 1231.53031
Grong, Erlend; Vasil’ev, Alexander
9
2011
On the \(k\)-symplectic, \(k\)-cosymplectic and multisymplectic formalisms of classical field theories. Zbl 1242.70053
Román-Roy, Narciso; Rey, Ángel M.; Salgado, Modesto; Vilariño, Silvia
9
2011
Computing distances and geodesics between manifold-valued curves in the SRV framework. Zbl 1366.58005
Le Brigant, Alice
9
2017
Variational principles for spin systems and the Kirchhoff rod. Zbl 1288.70012
Gay-Balmaz, François; Holm, Darryl D.; Ratiu, Tudor S.
8
2009
Dirac cotangent bundle reduction. Zbl 1168.70314
Yoshimura, Hiroaki; Marsden, Jerrold E.
8
2009
Higher-order variational calculus on Lie algebroids. Zbl 1353.70048
Martínez, Eduardo
8
2015
The emergence of torsion in the continuum limit of distributed edge-dislocations. Zbl 1359.53074
Kupferman, Raz; Maor, Cy
8
2015
Geometric dynamics on the automorphism group of principal bundles: geodesic flows, dual pairs and chromomorphism groups. Zbl 1349.37077
Gay-Balmaz, François; Tronci, Cesare; Vizman, Cornelia
8
2013
Euler equations on a semi-direct product of the diffeomorphisms group by itself. Zbl 1277.37101
Escher, Joachim; Ivanov, Rossen; Kolev, Boris
8
2011
Linear weakly Noetherian constants of motion are horizontal gauge momenta. Zbl 1251.37054
Fassò, Francesco; Giacobbe, Andrea; Sansonetto, Nicola
8
2012
Parametric quartic Hamiltonian model. A unified treatment of classic integrable systems. Zbl 1338.37074
Ferrer, Sebastián; Crespo, Francisco
8
2014
Local well-posedness of the EPDiff equation: a survey. Zbl 1362.58003
Kolev, Boris
8
2017
Second-order constrained variational problems on Lie algebroids: applications to optimal control. Zbl 1410.70020
Colombo, Leonardo
8
2017
On the number of weakly Noetherian constants of motion of nonholonomic systems. Zbl 1192.37077
Fassò, Francesco; Giacobbe, Andrea; Sansonetto, Nicola
7
2009
Self-organization on Riemannian manifolds. Zbl 1431.35218
Fetecau, Razvan C.; Zhang, Beril
7
2019
Global well-posedness of a 3D MHD model in porous media. Zbl 1431.76155
Titi, Edriss S.; Trabelsi, Saber
7
2019
Vector fields with distributions and invariants of ODEs. Zbl 1271.34041
Jakubczyk, Bronisław; Kryński, Wojciech
7
2013
Minimal geodesics on \(\mathrm{GL}(n)\) for left-invariant, right-\(\mathrm O(n)\)-invariant Riemannian metrics. Zbl 1366.53028
Neff, Patrizio; Martin, Robert J.
7
2016
Covariant Hamiltonian field theories on manifolds with boundary: Yang-Mills theories. Zbl 1410.70029
Ibort, Alberto; Spivak, Amelia
7
2017
Families of canonical transformations by Hamilton-Jacobi-Poincaré equation. Application to rotational and orbital motion. Zbl 1281.70028
Ferrer, Sebastián; Lara, Martin
6
2010
Hamiltonian mechanical systems on Lie algebroids, unimodularity and preservation of volumes. Zbl 1282.53071
Marrero, Juan Carlos
6
2010
The Kadomtsev-Petviashvili hierarchy and the Mulase factorization of formal Lie groups. Zbl 1330.37061
Eslami Rad, Anahita; Reyes, Enrique G.
6
2013
Models for higher algebroids. Zbl 1330.58015
Jóźwikowski, Michał; Rotkiewicz, Mikołaj
6
2015
Superposition rules and second-order Riccati equations. Zbl 1225.34015
Cariñena, José F.; de Lucas Araujo, Javier
6
2011
Kinematic reduction and the Hamilton-Jacobi equation. Zbl 1375.70061
Barbero-Liñán, María; de León, Manuel; Martín de Diego, David; Marrero, Juan C.; Muñoz-Lecanda, Miguel C.
6
2012
Geometry of plasma dynamics. II: Lie algebra of Hamiltonian vector fields. Zbl 1375.76222
Esen, Oğul; Gümral, Hasan
6
2012
Bundle-theoretic methods for higher-order variational calculus. Zbl 1308.58002
Jóźwikowski, Michał; Rotkiewicz, Mikołaj
6
2014
The stochastic Hamilton-Jacobi equation. Zbl 1278.60104
Lázaro-Camí, Joan-Andreu; Ortega, Juan-Pablo
5
2009
Geodesic boundary value problems with symmetry. Zbl 1375.49032
Cotter, Colin J.; Holm, Darryl D.
5
2010
Lagrangian reduction of nonholonomic discrete mechanical systems. Zbl 1196.37093
Fernández, Javier; Tori, Cora; Zuccalli, Marcela
5
2010
When is a control system mechanical? Zbl 1206.93029
Ricardo, Sandra; Respondek, Witold
5
2010
Classical field theories of first order and Lagrangian submanifolds of premultisymplectic manifolds. Zbl 1387.70028
Campos, Cédric M.; Guzmán, Elisa; Marrero, Juan Carlos
5
2012
A geometric approach to discrete connections on principal bundles. Zbl 1285.53009
Fernández, Javier; Zuccalli, Marcela
5
2013
Higher-order mechanics: variational principles and other topics. Zbl 1284.35014
Prieto-Martínez, Pedro D.; Román-Roy, Narciso
5
2013
Invariant nonholonomic Riemannian structures on three-dimensional Lie groups. Zbl 1390.70040
Barrett, Dennis I.; Biggs, Rory; Remsing, Claudiu C.; Rossi, Olga
5
2016
A note on time-optimal paths on perturbed spheroid. Zbl 1405.53061
Kopacz, Piotr
5
2018
Alternative angle-based approach to the \(\mathcal{KS}\)-map. An interpretation through symmetry and reduction. Zbl 1411.70020
Ferrer, Sebastián; Crespo, Francisco
5
2018
Un-reduction. Zbl 1268.37081
Bruveris, Martins; Ellis, David C. P.; Holm, Darryl D.; Gay-Balmaz, François
5
2011
The leaf space of a multiplicative foliation. Zbl 1266.58006
Jotz, M.
5
2012
Tensor products of Dirac structures and interconnection in Lagrangian mechanics. Zbl 1304.70016
Jacobs, Henry O.; Yoshimura, Hiroaki
5
2014
Nonlinear constraints in nonholonomic mechanics. Zbl 1304.70015
Popescu, Paul; Ida, Cristian
5
2014
Quotient elastic metrics on the manifold of arc-length parameterized plane curves. Zbl 1365.53002
Tumpach, Alice B.; Preston, Stephen C.
5
2017
The Hamilton-Jacobi theory and the analogy between classical and quantum mechanics. Zbl 1278.70014
Marmo, Giuseppe; Morandi, Giuseppe; Mukunda, Narasimhaiengar
4
2009
Generalized submersiveness of second-order ordinary differential equations. Zbl 1191.37033
Sarlet, W.; Prince, G. E.; Crampin, M.
4
2009
Lagrangian and Hamiltonian formalism in field theory: a simple model. Zbl 1222.70025
Grabowska, Katarzyna
4
2010
Variational reduction of Lagrangian systems with general constraints. Zbl 1257.37033
Grillo, Sergio; Zuccalli, Marcela
4
2012
Multi-symplectic method to simulate soliton resonance of \({(2+1)}\)-dimensional Boussinesq equation. Zbl 1277.35111
Hu, Weipeng; Deng, Zichen; Qin, Yuyue
4
2013
The Toda lattice, old and new. Zbl 1319.37046
Tomei, Carlos
4
2013
The ubiquity of the symplectic Hamiltonian equations in mechanics. Zbl 1168.70315
Balseiro, P.; de León, M.; Marrero, J. C.; Martín de Diego, D.
4
2009
Euler-Lagrangian approach to 3D stochastic Euler equations. Zbl 1435.35290
Flandoli, Franco; Luo, Dejun
4
2019
Riemann-Hilbert problem, integrability and reductions. Zbl 1431.35053
Gerdjikov, Vladimir S.; Ivanov, Rossen I.; Stefanov, Aleksander A.
4
2019
Poisson and integrable systems through the Nambu bracket and its Jacobi multiplier. Zbl 1359.37124
Crespo, Francisco; Molero, Francisco Javier; Ferrer, Sebastián
4
2016
A weak approach to the stochastic deformation of classical mechanics. Zbl 1375.37175
Lassalle, Rémi; Zambrini, Jean Claude
4
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.
4
2011
On the extended Euler system and the Jacobi and Weierstrass elliptic functions. Zbl 1326.33027
Crespo, Francisco; Ferrer, Sebastián
4
2015
Computing metamorphoses between discrete measures. Zbl 1319.49069
Richardson, Casey L.; Younes, Laurent
4
2013
Dirac structures and Hamilton-Jacobi theory for Lagrangian mechanics on Lie algebroids. Zbl 1277.70018
Leok, Melvin; Sosa, Diana
4
2012
Variational integrators for hamiltonizable nonholonomic systems. Zbl 1262.65193
Fernandez, Oscar E.; Bloch, Anthony M.; Olver, P. J.
4
2012
Twisted isotropic realisations of twisted Poisson structures. Zbl 1334.37063
Sansonetto, Nicola; Sepe, Daniele
4
2013
Discriminantly separable polynomials and quad-equations. Zbl 1309.37067
Dragović, Vladimir; Kukić, Katarina
4
2014
The Hamilton-Jacobi equation, integrability, and nonholonomic systems. Zbl 1304.70018
Bates, Larry M.; Fassò, Francesco; Sansonetto, Nicola
4
2014
Geometry of Lagrangian and Hamiltonian formalisms in the dynamics of strings. Zbl 1304.70029
Grabowski, Janusz; Grabowska, Katarzyna; Urbański, Paweł
4
2014
Constraint algorithm for singular field theories in the \(k\)-cosymplectic framework. Zbl 1434.70047
Gràcia, Xavier; Rivas, Xavier; Román-Roy, Narciso
3
2020
Information-theoretic inequalities on unimodular Lie groups. Zbl 1215.22004
Chirikjian, Gregory S.
3
2010
Geometric Jacobian linearization and LQR theory. Zbl 1211.49043
Lewis, Andrew D.; Tyner, David R.
3
2010
Stable closed equilibria for anisotropic surface energies: surfaces with edges. Zbl 1246.49037
Palmer, Bennett
3
2012
Lagrangian dynamics of submanifolds. Relativistic mechanics. Zbl 1248.53065
Sardanashvily, Gennadi
3
2012
A setting for higher order differential equation fields and higher order Lagrange and Finsler spaces. Zbl 1278.53079
Bucataru, Ioan
3
2013
Tulczyjew triples: from statics to field theory. Zbl 1357.70016
Grabowska, Katarzyna; Grabowski, Janusz
3
2013
New multisymplectic approach to the metric-affine (Einstein-Palatini) action for gravity. Zbl 1433.83005
Gaset, Jordi; Román-Roy, Narciso
3
2019
Relative periodic solutions of the \(n\)-vortex problem on the sphere. Zbl 1433.37054
García-Azpeitia, Carlos
3
2019
Variational integrators for anelastic and pseudo-incompressible flows. Zbl 1431.76103
Bauer, Werner; Gay-Balmaz, François
3
2019
Matched pair analysis of the Vlasov plasma. Zbl 07396834
Esen, Oǧul; Sütlü, Serkan
1
2021
Contact Hamiltonian and Lagrangian systems with nonholonomic constraints. Zbl 07433995
de León, Manuel; Jiménez, Víctor M.; Lainz, Manuel
1
2021
A Lagrangian approach to extremal curves on Stiefel manifolds. Zbl 1477.58006
Hüper, Knut; Markina, Irina; Leite, Fátima Silva
1
2021
A unifying approach for rolling symmetric spaces. Zbl 07433998
Krakowski, Krzysztof A.; Machado, Luís; Leite, Fátima Silva
1
2021
Constraint algorithm for singular field theories in the \(k\)-cosymplectic framework. Zbl 1434.70047
Gràcia, Xavier; Rivas, Xavier; Román-Roy, Narciso
3
2020
Nonholonomic and constrained variational mechanics. Zbl 1476.70057
Lewis, Andrew D.
3
2020
Control of locomotion systems and dynamics in relative periodic orbits. Zbl 1459.37092
Fassò, Francesco; Passarella, Simone; Zoppello, Marta
2
2020
Rolling and no-slip bouncing in cylinders. Zbl 1441.37070
Chumley, Timothy; Cook, Scott; Cox, Christopher; Feres, Renato
1
2020
A summary on symmetries and conserved quantities of autonomous Hamiltonian systems. Zbl 1460.37052
Román-Roy, Narciso
1
2020
Self-organization on Riemannian manifolds. Zbl 1431.35218
Fetecau, Razvan C.; Zhang, Beril
7
2019
Global well-posedness of a 3D MHD model in porous media. Zbl 1431.76155
Titi, Edriss S.; Trabelsi, Saber
7
2019
Euler-Lagrangian approach to 3D stochastic Euler equations. Zbl 1435.35290
Flandoli, Franco; Luo, Dejun
4
2019
Riemann-Hilbert problem, integrability and reductions. Zbl 1431.35053
Gerdjikov, Vladimir S.; Ivanov, Rossen I.; Stefanov, Aleksander A.
4
2019
New multisymplectic approach to the metric-affine (Einstein-Palatini) action for gravity. Zbl 1433.83005
Gaset, Jordi; Román-Roy, Narciso
3
2019
Relative periodic solutions of the \(n\)-vortex problem on the sphere. Zbl 1433.37054
García-Azpeitia, Carlos
3
2019
Variational integrators for anelastic and pseudo-incompressible flows. Zbl 1431.76103
Bauer, Werner; Gay-Balmaz, François
3
2019
Lie groupoids and algebroids applied to the study of uniformity and homogeneity of material bodies. Zbl 1431.74010
Morales, Víctor Manuel Jiménez; De León, Manuel; Epstein, Marcelo
2
2019
Dispersive Lamb systems. Zbl 1435.35223
Olver, Peter J.; Sheils, Natalie E.
2
2019
Morse families and Dirac systems. Zbl 1439.37060
Barbero Liñán, María; Cendra, Hernán; Toraño, Eduardo García; Martín de Diego, David
2
2019
Remarks on certain two-component systems with peakon solutions. Zbl 1435.35329
Hay, Mike; Hone, Andrew N. W.; Novikov, Vladimir S.; Wang, Jing Ping
2
2019
Generalized point vortex dynamics on \(\mathbb{CP}^2\). Zbl 1434.37038
Montaldi, James; Shaddad, Amna
2
2019
Momentum maps for mixed states in quantum and classical mechanics. Zbl 1448.81070
Tronci, Cesare
2
2019
A geometric perspective on the Piola identity in Riemannian settings. Zbl 1426.53087
Kupferman, Raz; Shachar, Asaf
2
2019
A symmetry-adapted numerical scheme for SDEs. Zbl 07168110
De Vecchi, Francesco C.; Romano, Andrea; Ugolini, Stefania
1
2019
Improving E. Cartan considerations on the invariance of nonholonomic mechanics. Zbl 07168114
Oliva, Waldyr M.; Terra, Gláucio
1
2019
Conservation laws in discrete geometry. Zbl 1447.76025
Margolin, Len G.; Baty, Roy S.
1
2019
Embedding Camassa-Holm equations in incompressible Euler. Zbl 1435.35307
Natale, Andrea; Vialard, François-Xavier
1
2019
Riemannian cubics and elastica in the manifold \(\operatorname{SPD}(n)\) of all \(n\times n\) symmetric positive-definite matrices. Zbl 1455.53079
Zhang, Erchuan; Noakes, Lyle
1
2019
Non-abelian momentum polytopes for products of \(\mathbb{CP}^2\). Zbl 1434.53091
Montaldi, James; Shaddad, Amna
1
2019
Geometry of Routh reduction. Zbl 1448.70050
Grabowska, Katarzyna; Urbański, Pawel
1
2019
A comparison of vakonomic and nonholonomic dynamics with applications to non-invariant Chaplygin systems. Zbl 1426.49050
Jóźwikowski, Michał; Respondek, Witold
1
2019
A family of compact semitoric systems with two focus-focus singularities. Zbl 1428.37053
Hohloch, Sonja; Palmer, Joseph
10
2018
A note on time-optimal paths on perturbed spheroid. Zbl 1405.53061
Kopacz, Piotr
5
2018
Alternative angle-based approach to the \(\mathcal{KS}\)-map. An interpretation through symmetry and reduction. Zbl 1411.70020
Ferrer, Sebastián; Crespo, Francisco
5
2018
Vortex pairs on a triaxial ellipsoid and Kimura’s conjecture. Zbl 1405.76008
Rodrigues, Adriano Regis; Castilho, César; Koiller, Jair
3
2018
Lagrange-d’Alembert-Poincaré equations by several stages. Zbl 1407.37087
Cendra, Hernán; Díaz, Viviana A.
2
2018
Classical field theory on Lie algebroids: multisymplectic formalism. Zbl 1406.58003
Martínez, Eduardo
2
2018
On the geometry of the Schmidt-Legendre transformation. Zbl 1411.70029
Esen, Oğul; Guha, Partha
2
2018
A coordinate-free theory of virtual holonomic constraints. Zbl 1428.53022
Consolini, Luca; Costalunga, Alessandro; Maggiore, Manfredi
2
2018
Symmetries of line bundles and Noether theorem for time-dependent nonholonomic systems. Zbl 1407.37088
Jovanović, Božidar
1
2018
Bohr-Sommerfeld-Heisenberg quantization of the mathematical pendulum. Zbl 1412.81155
Cushman, Richard; Śniatycki, Jędrzej
1
2018
Geometry of matrix decompositions seen through optimal transport and information geometry. Zbl 1368.15010
Modin, Klas
13
2017
Computing distances and geodesics between manifold-valued curves in the SRV framework. Zbl 1366.58005
Le Brigant, Alice
9
2017
Local well-posedness of the EPDiff equation: a survey. Zbl 1362.58003
Kolev, Boris
8
2017
Second-order constrained variational problems on Lie algebroids: applications to optimal control. Zbl 1410.70020
Colombo, Leonardo
8
2017
Covariant Hamiltonian field theories on manifolds with boundary: Yang-Mills theories. Zbl 1410.70029
Ibort, Alberto; Spivak, Amelia
7
2017
Quotient elastic metrics on the manifold of arc-length parameterized plane curves. Zbl 1365.53002
Tumpach, Alice B.; Preston, Stephen C.
5
2017
The Madelung transform as a momentum map. Zbl 1440.53095
Fusca, Daniel
3
2017
About simple variational splines from the Hamiltonian viewpoint. Zbl 1368.65092
Balseiro, Paula; Stuchi, Teresinha J.; Cabrera, Alejandro; Koiller, Jair
2
2017
Modelling anisotropic covariance using stochastic development and sub-Riemannian frame bundle geometry. Zbl 1367.53031
Sommer, Stefan; Svane, Anne Marie
2
2017
On the relationship between the energy shaping and the Lyapunov constraint based methods. Zbl 1373.93248
Grillo, Sergio; Salomone, Leandro; Zuccalli, Marcela
2
2017
Möbius invariants in image recognition. Zbl 1365.53014
Konovenko, Nadiia; Lychagin, Valentin
1
2017
The \(2\)-plectic structures induced by the Lie bialgebras. Zbl 1366.53056
Shafiee, Mohammad
1
2017
Uniform motions in central fields. Zbl 1407.70022
Swaczyna, Martin; Volný, Petr
1
2017
Complete spelling rules for the Monster tower over three-space. Zbl 1369.58003
Castro, Alex; Howard, Wyatt; Shanbrom, Corey
1
2017
On a geometric framework for Lagrangian supermechanics. Zbl 1377.58001
Bruce, Andrew James; Grabowska, Katarzyna; Moreno, Giovanni
1
2017
The physical foundations of geometric mechanics. Zbl 1427.70020
Lewis, Andrew D.
1
2017
Shape analysis on Lie groups with applications in computer animation. Zbl 1366.65018
Celledoni, Elena; Eslitzbichler, Markus; Schmeding, Alexander
11
2016
Minimal geodesics on \(\mathrm{GL}(n)\) for left-invariant, right-\(\mathrm O(n)\)-invariant Riemannian metrics. Zbl 1366.53028
Neff, Patrizio; Martin, Robert J.
7
2016
Invariant nonholonomic Riemannian structures on three-dimensional Lie groups. Zbl 1390.70040
Barrett, Dennis I.; Biggs, Rory; Remsing, Claudiu C.; Rossi, Olga
5
2016
Poisson and integrable systems through the Nambu bracket and its Jacobi multiplier. Zbl 1359.37124
Crespo, Francisco; Molero, Francisco Javier; Ferrer, Sebastián
4
2016
A weak approach to the stochastic deformation of classical mechanics. Zbl 1375.37175
Lassalle, Rémi; Zambrini, Jean Claude
4
2016
Morse theory for elastica. Zbl 1352.58003
Schrader, Philip
3
2016
The Frank tensor as a boundary condition in intrinsic linearized elasticity. Zbl 1356.35244
Van Goethem, Nicolas
3
2016
The Tulczyjew triple in mechanics on a Lie group. Zbl 1354.22022
Grabowska, Katarzyna; Zając, Marcin
3
2016
Free Courant and derived Leibniz pseudoalgebras. Zbl 1388.17003
Jubin, Benoît; Poncin, Norbert; Uchino, Kyosuke
3
2016
The projective symplectic geometry of higher order variational problems: minimality conditions. Zbl 1369.49024
Durán, Carlos; Otero, Diego
3
2016
On strain measures and the geodesic distance to \(\mathrm{SO}_n\) in the general linear group. Zbl 1355.53076
Kupferman, Raz; Shachar, Asaf
2
2016
Fredholm properties of the \(L^2\) exponential map on the symplectomorphism group. Zbl 1386.35318
Benn, James
2
2016
Symplectic reduction at zero angular momentum. Zbl 1341.53116
Cape, Joshua; Herbig, Hans-Christian; Seaton, Christopher
2
2016
Infinitesimally natural principal bundles. Zbl 1350.53063
Janssens, Bas
1
2016
No monodromy in the champagne bottle, or singularities of a superintegrable system. Zbl 1404.70045
Bates, Larry M.; Fassò, Francesco
1
2016
Kirchhoff’s equations of motion via a constrained Zakharov system. Zbl 1418.37109
Shashikanth, Banavara N.
1
2016
Lagrangian reduction of discrete mechanical systems by stages. Zbl 1333.37071
Fernández, Javier; Tori, Cora; Zuccalli, Marcela
1
2016
Neighboring extremal optimal control for mechanical systems on Riemannian manifolds. Zbl 1369.49063
Bloch, Anthony M.; Gupta, Rohit; Kolmanovsky, Ilya V.
1
2016
An approximation theorem in classical mechanics. Zbl 1368.37064
Stoica, Cristina
1
2016
Completeness properties of Sobolev metrics on the space of curves. Zbl 1328.58007
Bruveris, Martins
12
2015
Tulczyjew triples in higher derivative field theory. Zbl 1367.70062
Grabowska, Katarzyna; Vitagliano, Luca
11
2015
A new multisymplectic unified formalism for second order classical field theories. Zbl 1372.70057
Prieto-Martínez, Pedro Daniel; Román-Roy, Narciso
11
2015
Two-component higher order Camassa-Holm systems with fractional inertia operator: a geometric approach. Zbl 1321.35197
Escher, Joachim; Lyons, Tony
10
2015
Higher-order variational calculus on Lie algebroids. Zbl 1353.70048
Martínez, Eduardo
8
2015
The emergence of torsion in the continuum limit of distributed edge-dislocations. Zbl 1359.53074
Kupferman, Raz; Maor, Cy
8
2015
Models for higher algebroids. Zbl 1330.58015
Jóźwikowski, Michał; Rotkiewicz, Mikołaj
6
2015
On the extended Euler system and the Jacobi and Weierstrass elliptic functions. Zbl 1326.33027
Crespo, Francisco; Ferrer, Sebastián
4
2015
Finiteness of relative equilibria in the planar generalized \(N\)-body problem with fixed subconfigurations. Zbl 1367.70027
Hampton, Marshall; Jensen, Anders Nedergaard
3
2015
On the discretization of nonholonomic dynamics in \(\mathbb{R}^n\). Zbl 1353.70034
Jiménez, Fernando; Scheurle, Jürgen
3
2015
On the relation between geometrical quantum mechanics and information geometry. Zbl 1328.53044
Molitor, Mathieu
3
2015
Hypersymplectic structures on Courant algebroids. Zbl 1351.53098
Antunes, Paulo; Nunes da Costa, Joana M.
2
2015
On the control of stability of periodic orbits of completely integrable systems. Zbl 1344.37026
Tudoran, Răzvan M.
1
2015
A unifying mechanical equation with applications to non-holonomic constraints and dissipative phenomena. Zbl 1367.70037
Minguzzi, E.
1
2015
Canonoid and Poissonoid transformations, symmetries and biHamiltonian structures. Zbl 1330.53102
Rastelli, Giovanni; Santoprete, Manuele
1
2015
Invariant metrics on Lie groups. Zbl 1404.53032
Thompson, Gerard
1
2015
Lie algebroids generated by cohomology operators. Zbl 1330.58014
García-Beltrán, Dennise; Vallejo, José A.; Vorobiev, Yurii
1
2015
Right-invariant Sobolev metrics of fractional order on the diffeomorphism group of the circle. Zbl 1308.58005
Escher, Joachim; Kolev, Boris
31
2014
Higher-order variational problems on Lie groups and optimal control applications. Zbl 1307.70018
Colombo, Leonardo; Martín de Diego, David
15
2014
A Hamilton-Jacobi theory on Poisson manifolds. Zbl 1304.70019
de León, Manuel; Martín de Diego, David; Vaquero, Miguel
10
2014
Parametric quartic Hamiltonian model. A unified treatment of classic integrable systems. Zbl 1338.37074
Ferrer, Sebastián; Crespo, Francisco
8
2014
Bundle-theoretic methods for higher-order variational calculus. Zbl 1308.58002
Jóźwikowski, Michał; Rotkiewicz, Mikołaj
6
2014
Tensor products of Dirac structures and interconnection in Lagrangian mechanics. Zbl 1304.70016
Jacobs, Henry O.; Yoshimura, Hiroaki
5
2014
Nonlinear constraints in nonholonomic mechanics. Zbl 1304.70015
Popescu, Paul; Ida, Cristian
5
2014
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Cited by 816 Authors

28 Bauer, Martin
26 de León Rodríguez, Manuel
19 Gay-Balmaz, François
18 Martín de Diego, David
16 Bruveris, Martins
16 Román-Roy, Narciso
15 Ferrer, Sebastián
13 Colombo, Leonardo Jesus
13 Crespo, Francisco
13 Esen, Oğul
13 Holm, Darryl D.
13 Modin, Klas
13 Tsyganov, Andreĭ Vladimirovich
12 Michor, Peter Wolfram
11 García-Naranjo, Luis C.
10 Grabowski, Janusz
10 Ratiu, Tudor Stefan
10 Suris, Yuri Borisovich
9 Sardón, Cristina
9 Tronci, Cesare
9 Van Goethem, Nicolas
8 Balseiro, Paula
8 Grillo, Sergio Daniel
8 Harms, Philipp
8 Kolev, Boris
8 Kupferman, Raz
8 Mestdag, Tom
8 Neff, Patrizio
7 Borisov, Alekseĭ Vladimirovich
7 Bucataru, Ioan
7 Escher, Joachim
7 Grabowska, Katarzyna
7 Koiller, Jair
7 Leok, Melvin
7 Marrero, Juan Carlos
7 Petrera, Matteo
7 Vialard, François-Xavier
7 Zuccalli, Marcela
6 Bloch, Anthony Michael
6 Cariñena, José F.
6 Gaset, Jordi
6 Jacobs, Henry O.
6 Jiménez, Fernando
6 Maor, Cy
6 Preston, Stephen C.
6 Prieto-Martínez, Pedro Daniel
6 Vankerschaver, Joris
6 Vaquero, Miguel
6 Vilariño, Silvia
6 Yoshimura, Hiroaki
6 Zhou, Shouming
5 Benn, James
5 Bruce, Andrew James
5 Celledoni, Elena
5 Cotter, Colin John
5 de Lucas, Javier
5 Dragović, Vladimir
5 Gràcia, Xavier
5 Guha, Partha
5 Ha, Seung-Yeal
5 Hochgerner, Simon
5 Hohloch, Sonja
5 Klassen, Eric Paul
5 Kryński, Wojciech
5 Mamaev, Ivan Sergeevich
5 Martin, Robert J.
5 Muñoz-Lecanda, Miguel C.
5 Poncin, Norbert
5 Reyes, Enrique G.
5 Salomone, Leandro M.
5 Sansonetto, Nicola
4 Arnaudon, Alexis
4 Barbero-Liñán, María
4 Calderón Martín, Antonio Jesús
4 Cendra, Hernán
4 Charon, Nicolas
4 Cismas, Emanuel-Ciprian
4 Durán Fernandez, Carlos Eduardo
4 Ferraro, Sebastián J.
4 Jotz, Madeleine
4 Lara, Martín
4 Li, Wuchen
4 McLachlan, Robert I.
4 Molero, Francisco Javier
4 Montaldi, James A.
4 Ohsawa, Tomoki
4 Park, Hansol
4 Remsing, Claudiu-Cristian
4 Rivas, Xavier
4 Sheng, Yunhe
4 Srivastava, Anuj
4 Sun, Chengfeng
4 Sütlü, Serkan
4 Verdier, Olivier
4 Vorotnikov, Dmitry A.
4 Welker, Kathrin
4 Żołądek, Henryk
3 Aldea, Nicoleta
3 Alonso, Jaume
3 Amstutz, Samuel
...and 716 more Authors
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Cited in 197 Journals

71 Journal of Geometric Mechanics
48 Journal of Geometry and Physics
34 Journal of Mathematical Physics
31 Journal of Nonlinear Science
27 Regular and Chaotic Dynamics
26 International Journal of Geometric Methods in Modern Physics
18 Differential Geometry and its Applications
17 Archive for Rational Mechanics and Analysis
14 Discrete and Continuous Dynamical Systems
13 Reports on Mathematical Physics
11 Journal of Physics A: Mathematical and Theoretical
10 Communications in Mathematical Physics
10 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
9 Journal of Differential Equations
9 Journal of Mathematical Imaging and Vision
9 Calculus of Variations and Partial Differential Equations
9 Foundations of Computational Mathematics
8 Nonlinearity
7 Theoretical and Mathematical Physics
7 SIAM Journal on Imaging Sciences
6 Monatshefte für Mathematik
6 Annals of Global Analysis and Geometry
6 Celestial Mechanics and Dynamical Astronomy
6 Nonlinear Analysis. Real World Applications
5 Nuclear Physics. B
5 SIAM Journal on Control and Optimization
5 Bulletin des Sciences Mathématiques
5 Journal of Nonlinear Mathematical Physics
5 Journal of Evolution Equations
5 Theoretical and Applied Mechanics
5 Analysis and Mathematical Physics
4 Journal of Mathematical Analysis and Applications
4 Letters in Mathematical Physics
4 Physics Letters. A
4 Physica D
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 SIAM Journal on Mathematical Analysis
4 Indagationes Mathematicae. New Series
4 Mediterranean Journal of Mathematics
4 Proceedings of the Steklov Institute of Mathematics
4 Journal of Computational Dynamics
4 Arnold Mathematical Journal
4 European Journal of Mathematics
3 Classical and Quantum Gravity
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Acta Applicandae Mathematicae
3 Stochastic Processes and their Applications
3 Journal of Lie Theory
3 Mathematics and Mechanics of Solids
3 Chaos
3 SIAM Journal on Applied Dynamical Systems
3 Communications in Mathematics
3 Nelineĭnaya Dinamika
3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
3 Information Geometry
2 Journal of Fluid Mechanics
2 Applied Mathematics and Computation
2 Applied Mathematics and Optimization
2 BIT
2 Geometriae Dedicata
2 Numerische Mathematik
2 Proceedings of the American Mathematical Society
2 Results in Mathematics
2 Systems & Control Letters
2 Computational Mechanics
2 Applied Mathematics Letters
2 The Journal of Geometric Analysis
2 Applied Mathematical Modelling
2 Journal of Elasticity
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 SIAM Journal on Optimization
2 Experimental Mathematics
2 International Journal of Computer Vision
2 Transformation Groups
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Nonlinear Dynamics
2 Mathematical Physics, Analysis and Geometry
2 Communications in Nonlinear Science and Numerical Simulation
2 Journal of Dynamical and Control Systems
2 Journal of High Energy Physics
2 Annales Henri Poincaré
2 Qualitative Theory of Dynamical Systems
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Bulletin of the Brazilian Mathematical Society. New Series
2 Journal of Algebra and its Applications
2 Analysis and Applications (Singapore)
2 Frontiers of Mathematics in China
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 Acta Mechanica
1 Applicable Analysis
1 Bulletin of the Australian Mathematical Society
1 European Journal of Physics
1 Geophysical and Astrophysical Fluid Dynamics
1 General Relativity and Gravitation
1 International Journal of Control
1 Inverse Problems
1 Israel Journal of Mathematics
1 Journal of Applied Mathematics and Mechanics
1 Journal of the Franklin Institute
1 Journal of Statistical Physics
...and 97 more Journals
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Cited in 57 Fields

292 Mechanics of particles and systems (70-XX)
266 Differential geometry (53-XX)
235 Dynamical systems and ergodic theory (37-XX)
136 Global analysis, analysis on manifolds (58-XX)
132 Partial differential equations (35-XX)
84 Calculus of variations and optimal control; optimization (49-XX)
71 Fluid mechanics (76-XX)
68 Numerical analysis (65-XX)
47 Ordinary differential equations (34-XX)
44 Mechanics of deformable solids (74-XX)
40 Quantum theory (81-XX)
35 Nonassociative rings and algebras (17-XX)
34 Topological groups, Lie groups (22-XX)
30 Systems theory; control (93-XX)
22 Relativity and gravitational theory (83-XX)
20 Algebraic geometry (14-XX)
20 Probability theory and stochastic processes (60-XX)
20 Computer science (68-XX)
18 Statistics (62-XX)
15 Statistical mechanics, structure of matter (82-XX)
14 Difference and functional equations (39-XX)
13 Operator theory (47-XX)
13 Algebraic topology (55-XX)
13 Information and communication theory, circuits (94-XX)
12 Linear and multilinear algebra; matrix theory (15-XX)
11 Several complex variables and analytic spaces (32-XX)
10 Functional analysis (46-XX)
10 Manifolds and cell complexes (57-XX)
8 Biology and other natural sciences (92-XX)
7 Commutative algebra (13-XX)
7 Associative rings and algebras (16-XX)
5 Geometry (51-XX)
4 History and biography (01-XX)
4 Group theory and generalizations (20-XX)
4 Measure and integration (28-XX)
4 Special functions (33-XX)
4 Approximations and expansions (41-XX)
4 Geophysics (86-XX)
3 Combinatorics (05-XX)
3 Real functions (26-XX)
3 Functions of a complex variable (30-XX)
3 Potential theory (31-XX)
3 Convex and discrete geometry (52-XX)
3 Classical thermodynamics, heat transfer (80-XX)
3 Astronomy and astrophysics (85-XX)
3 Operations research, mathematical programming (90-XX)
2 Category theory; homological algebra (18-XX)
2 General topology (54-XX)
2 Optics, electromagnetic theory (78-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 General and overarching topics; collections (00-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 General algebraic systems (08-XX)
1 Number theory (11-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral equations (45-XX)

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