## 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/1941-4889http://aimsciences.org/journals/home.jsp?journalID=17 Comments: Indexed cover-to-cover
 Documents Indexed: 309 Publications (since 2009) References Indexed: 193 Publications with 5,996 References.
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### Latest Issues

 14, No. 3 (2022) 14, No. 2 (2022) 14, No. 1 (2022) 13, No. 4 (2021) 13, No. 3 (2021) 13, No. 2 (2021) 13, No. 1 (2021) 12, No. 4 (2020) 12, No. 3 (2020) 12, No. 2 (2020) 12, No. 1 (2020) 11, No. 4 (2019) 11, No. 3 (2019) 11, No. 2 (2019) 11, No. 1 (2019) 10, No. 4 (2018) 10, No. 3 (2018) 10, No. 2 (2018) 10, No. 1 (2018) 9, No. 4 (2017) 9, No. 3 (2017) 9, No. 2 (2017) 9, No. 1 (2017) 8, No. 4 (2016) 8, No. 3 (2016) 8, No. 2 (2016) 8, No. 1 (2016) 7, No. 4 (2015) 7, No. 3 (2015) 7, No. 2 (2015) 7, No. 1 (2015) 6, No. 4 (2014) 6, No. 3 (2014) 6, No. 2 (2014) 6, No. 1 (2014) 5, No. 4 (2013) 5, No. 3 (2013) 5, No. 2 (2013) 5, No. 1 (2013) 4, No. 4 (2012) 4, No. 3 (2012) 4, No. 2 (2012) 4, No. 1 (2012) 3, No. 4 (2011) 3, No. 3 (2011) 3, No. 2 (2011) 3, No. 1 (2011) 2, No. 4 (2010) 2, No. 3 (2010) 2, No. 2 (2010) 2, No. 1 (2010) 1, No. 4 (2009) 1, No. 3 (2009) 1, No. 2 (2009) 1, No. 1 (2009)
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### Authors

 12 de León Rodríguez, Manuel 10 Martín de Diego, David 8 Marrero, Juan Carlos 8 Román-Roy, Narciso 7 Fernandez, Javier Alejandro 7 Grabowska, Katarzyna 7 Grillo, Sergio Daniel 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 Dallas 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 Bursztyn, Henrique 3 Cabrera, Alejandro 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 3 Weinstein, Alan David 2 Androulidakis, Iakovos 2 Balseiro, Paula 2 Barbero-Liñán, María 2 Bates, Larry M. 2 Bruce, Andrew James 2 Bucataru, Ioan 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 García-Toraño Andrés, Eduardo 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 Jiménez, Víctor Manuel 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 ...and 307 more Authors
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### Fields

 150 Differential geometry (53-XX) 149 Mechanics of particles and systems (70-XX) 124 Dynamical systems and ergodic theory (37-XX) 60 Global analysis, analysis on manifolds (58-XX) 37 Partial differential equations (35-XX) 34 Calculus of variations and optimal control; optimization (49-XX) 27 Ordinary differential equations (34-XX) 24 Topological groups, Lie groups (22-XX) 20 Fluid mechanics (76-XX) 17 Numerical analysis (65-XX) 17 Systems theory; control (93-XX) 15 Nonassociative rings and algebras (17-XX) 12 Mechanics of deformable solids (74-XX) 11 General and overarching topics; collections (00-XX) 9 History and biography (01-XX) 9 Probability theory and stochastic processes (60-XX) 9 Quantum theory (81-XX) 8 Manifolds and cell complexes (57-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Category theory; homological algebra (18-XX) 5 Algebraic geometry (14-XX) 5 Group theory and generalizations (20-XX) 5 Functional analysis (46-XX) 5 Algebraic topology (55-XX) 4 Linear and multilinear algebra; matrix theory (15-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) 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) 1 Mathematics education (97-XX)

### Citations contained in zbMATH Open

207 Publications have been cited 1,051 times in 773 Documents Cited by Year
Sobolev metrics on shape space of surfaces. Zbl 1262.58004
Bauer, Martin; Harms, Philipp; Michor, Peter W.
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
2010
Right-invariant Sobolev metrics of fractional order on the diffeomorphism group of the circle. Zbl 1308.58005
Escher, Joachim; Kolev, Boris
2014
On Euler’s equation and ‘EPDiff’. Zbl 1274.35277
Mumford, David; Michor, Peter W.
2013
Integrable Euler top and nonholonomic Chaplygin ball. Zbl 1348.70014
Tsiganov, Andrey
2011
Sobolev metrics on shape space. II: Weighted Sobolev metrics and almost local metrics. Zbl 1281.58003
Bauer, Martin; Harms, Philipp; Michor, Peter W.
2012
Variational formulation of commuting Hamiltonian flows: multi-time Lagrangian 1-forms. Zbl 1330.37057
Suris, Yuri B.
2013
Clebsch optimal control formulation in mechanics. Zbl 1233.49005
Gay-Balmaz, François; Ratiu, Tudor S.
2011
The supergeometry of Loday algebroids. Zbl 1294.53072
Grabowski, Janusz; Khudaverdyan, David; Poncin, Norbert
2013
$$G$$-Chaplygin systemswith internal symmetries, truncation, and an (almost) symplecticview of Chaplygin’s ball. Zbl 1168.53327
Hochgerner, Simon; García-Naranjo, Luis
2009
Geodesic Vlasov equations and their integrable moment closures. Zbl 1190.82033
Holm, Darryl D.; Tronci, Cesare
2009
Point vortices on the sphere: stability of symmetric relative equilibria. Zbl 1248.70020
Laurent-Polz, Frederic; Montaldi, James; Roberts, Mark
2011
The geometry and dynamics of interacting rigid bodies and point vortices. Zbl 1191.53055
Vankerschaver, Joris; Kanso, Eva; Marsden, Jerrold E.
2009
Nonholonomic Hamilton-Jacobi equation and integrability. Zbl 1288.70009
Ohsawa, Tomoki; Bloch, Anthony M.
2009
Higher-order variational problems on Lie groups and optimal control applications. Zbl 1307.70018
Colombo, Leonardo; Martín de Diego, David
2014
Geometry of matrix decompositions seen through optimal transport and information geometry. Zbl 1368.15010
Modin, Klas
2017
Three-dimensional discrete systems of Hirota-Kimura type and deformed Lie-Poisson algebras. Zbl 1168.37318
Hone, Andrew N. W.; Petrera, Matteo
2009
Completeness properties of Sobolev metrics on the space of curves. Zbl 1328.58007
Bruveris, Martins
2015
Shape analysis on Lie groups with applications in computer animation. Zbl 1366.65018
Celledoni, Elena; Eslitzbichler, Markus; Schmeding, Alexander
2016
The Hess-Appelrot system. I. Invariant torus and its normal hyperbolicity. Zbl 1264.05074
Lubowiecki, Paweł; Żołądek, Henryk
2012
Tulczyjew triples in higher derivative field theory. Zbl 1367.70062
Grabowska, Katarzyna; Vitagliano, Luca
2015
A new multisymplectic unified formalism for second order classical field theories. Zbl 1372.70057
Prieto-Martínez, Pedro Daniel; Román-Roy, Narciso
2015
A property of conformally Hamiltonian vector fields; application to the Kepler problem. Zbl 1417.37187
Marle, Charles-Michel
2012
A family of compact semitoric systems with two focus-focus singularities. Zbl 1428.37053
Hohloch, Sonja; Palmer, Joseph
2018
Semi-basic 1-forms and Helmholtz conditions for the inverse problem of the calculus of variations. Zbl 1189.58006
Bucataru, Ioan; Dahl, Matias F.
2009
The non-Riemannian dislocated crystal: a tribute to Ekkehart Kröner (1919–2000). Zbl 1281.74029
Van Goethem, Nicolas
2010
Self-organization on Riemannian manifolds. Zbl 1431.35218
Fetecau, Razvan C.; Zhang, Beril
2019
Two-component higher order Camassa-Holm systems with fractional inertia operator: a geometric approach. Zbl 1321.35197
Escher, Joachim; Lyons, Tony
2015
A Hamilton-Jacobi theory on Poisson manifolds. Zbl 1304.70019
de León, Manuel; Martín de Diego, David; Vaquero, Miguel
2014
Sub-Riemannian and sub-Lorentzian geometry on SU(1,1) and on its universal cover. Zbl 1231.53031
Grong, Erlend; Vasil’ev, Alexander
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
2011
Linear weakly Noetherian constants of motion are horizontal gauge momenta. Zbl 1251.37054
Fassò, Francesco; Giacobbe, Andrea; Sansonetto, Nicola
2012
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
2013
Computing distances and geodesics between manifold-valued curves in the SRV framework. Zbl 1366.58005
Le Brigant, Alice
2017
The emergence of torsion in the continuum limit of distributed edge-dislocations. Zbl 1359.53074
Kupferman, Raz; Maor, Cy
2015
Euler equations on a semi-direct product of the diffeomorphisms group by itself. Zbl 1277.37101
Escher, Joachim; Ivanov, Rossen; Kolev, Boris
2011
Higher-order variational calculus on Lie algebroids. Zbl 1353.70048
Martínez, Eduardo
2015
On the number of weakly Noetherian constants of motion of nonholonomic systems. Zbl 1192.37077
Fassò, Francesco; Giacobbe, Andrea; Sansonetto, Nicola
2009
Variational principles for spin systems and the Kirchhoff rod. Zbl 1288.70012
Gay-Balmaz, François; Holm, Darryl D.; Ratiu, Tudor S.
2009
Local well-posedness of the EPDiff equation: a survey. Zbl 1362.58003
Kolev, Boris
2017
Second-order constrained variational problems on Lie algebroids: applications to optimal control. Zbl 1410.70020
Colombo, Leonardo
2017
Dirac cotangent bundle reduction. Zbl 1168.70314
Yoshimura, Hiroaki; Marsden, Jerrold E.
2009
Parametric quartic Hamiltonian model. A unified treatment of classic integrable systems. Zbl 1338.37074
Ferrer, Sebastián; Crespo, Francisco
2014
Vector fields with distributions and invariants of ODEs. Zbl 1271.34041
Jakubczyk, Bronisław; Kryński, Wojciech
2013
Global well-posedness of a 3D MHD model in porous media. Zbl 1431.76155
Titi, Edriss S.; Trabelsi, Saber
2019
Minimal geodesics on $$\mathrm{GL}(n)$$ for left-invariant, right-$$\mathrm O(n)$$-invariant Riemannian metrics. Zbl 1366.53028
Neff, Patrizio; Martin, Robert J.
2016
Covariant Hamiltonian field theories on manifolds with boundary: Yang-Mills theories. Zbl 1410.70029
Ibort, Alberto; Spivak, Amelia
2017
Models for higher algebroids. Zbl 1330.58015
Jóźwikowski, Michał; Rotkiewicz, Mikołaj
2015
Alternative angle-based approach to the $$\mathcal{KS}$$-map. An interpretation through symmetry and reduction. Zbl 1411.70020
Ferrer, Sebastián; Crespo, Francisco
2018
Families of canonical transformations by Hamilton-Jacobi-Poincaré equation. Application to rotational and orbital motion. Zbl 1281.70028
Ferrer, Sebastián; Lara, Martin
2010
Hamiltonian mechanical systems on Lie algebroids, unimodularity and preservation of volumes. Zbl 1282.53071
Marrero, Juan Carlos
2010
When is a control system mechanical? Zbl 1206.93029
Ricardo, Sandra; Respondek, Witold
2010
Superposition rules and second-order Riccati equations. Zbl 1225.34015
Cariñena, José F.; de Lucas Araujo, Javier
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.
2012
Geometry of plasma dynamics. II: Lie algebra of Hamiltonian vector fields. Zbl 1375.76222
Esen, Oğul; Gümral, Hasan
2012
The leaf space of a multiplicative foliation. Zbl 1266.58006
Jotz, M.
2012
The Kadomtsev-Petviashvili hierarchy and the Mulase factorization of formal Lie groups. Zbl 1330.37061
Eslami Rad, Anahita; Reyes, Enrique G.
2013
Bundle-theoretic methods for higher-order variational calculus. Zbl 1308.58002
Jóźwikowski, Michał; Rotkiewicz, Mikołaj
2014
A note on time-optimal paths on perturbed spheroid. Zbl 1405.53061
Kopacz, Piotr
2018
Un-reduction. Zbl 1268.37081
Bruveris, Martins; Ellis, David C. P.; Holm, Darryl D.; Gay-Balmaz, François
2011
Classical field theories of first order and Lagrangian submanifolds of premultisymplectic manifolds. Zbl 1387.70028
Campos, Cédric M.; Guzmán, Elisa; Marrero, Juan Carlos
2012
Invariant nonholonomic Riemannian structures on three-dimensional Lie groups. Zbl 1390.70040
Barrett, Dennis I.; Biggs, Rory; Remsing, Claudiu C.; Rossi, Olga
2016
The stochastic Hamilton-Jacobi equation. Zbl 1278.60104
Lázaro-Camí, Joan-Andreu; Ortega, Juan-Pablo
2009
Geodesic boundary value problems with symmetry. Zbl 1375.49032
Cotter, Colin J.; Holm, Darryl D.
2010
Lagrangian reduction of nonholonomic discrete mechanical systems. Zbl 1196.37093
Fernández, Javier; Tori, Cora; Zuccalli, Marcela
2010
Variational integrators for hamiltonizable nonholonomic systems. Zbl 1262.65193
Fernandez, Oscar E.; Bloch, Anthony M.; Olver, P. J.
2012
Computing metamorphoses between discrete measures. Zbl 1319.49069
Richardson, Casey L.; Younes, Laurent
2013
A geometric approach to discrete connections on principal bundles. Zbl 1285.53009
Fernández, Javier; Zuccalli, Marcela
2013
Higher-order mechanics: variational principles and other topics. Zbl 1284.35014
Prieto-Martínez, Pedro D.; Román-Roy, Narciso
2013
Euler-Lagrangian approach to 3D stochastic Euler equations. Zbl 1435.35290
Flandoli, Franco; Luo, Dejun
2019
Riemann-Hilbert problem, integrability and reductions. Zbl 1431.35053
Gerdjikov, Vladimir S.; Ivanov, Rossen I.; Stefanov, Aleksander A.
2019
Quotient elastic metrics on the manifold of arc-length parameterized plane curves. Zbl 1365.53002
Tumpach, Alice B.; Preston, Stephen C.
2017
Tensor products of Dirac structures and interconnection in Lagrangian mechanics. Zbl 1304.70016
Jacobs, Henry O.; Yoshimura, Hiroaki
2014
Geometry of Lagrangian and Hamiltonian formalisms in the dynamics of strings. Zbl 1304.70029
Grabowski, Janusz; Grabowska, Katarzyna; Urbański, Paweł
2014
Nonlinear constraints in nonholonomic mechanics. Zbl 1304.70015
Popescu, Paul; Ida, Cristian
2014
Vortex pairs on a triaxial ellipsoid and Kimura’s conjecture. Zbl 1405.76008
Rodrigues, Adriano Regis; Castilho, César; Koiller, Jair
2018
Variational reduction of Lagrangian systems with general constraints. Zbl 1257.37033
Grillo, Sergio; Zuccalli, Marcela
2012
Poisson and integrable systems through the Nambu bracket and its Jacobi multiplier. Zbl 1359.37124
Crespo, Francisco; Molero, Francisco Javier; Ferrer, Sebastián
2016
A weak approach to the stochastic deformation of classical mechanics. Zbl 1375.37175
Lassalle, Rémi; Zambrini, Jean Claude
2016
The Hamilton-Jacobi theory and the analogy between classical and quantum mechanics. Zbl 1278.70014
Marmo, Giuseppe; Morandi, Giuseppe; Mukunda, Narasimhaiengar
2009
Dirac structures and Hamilton-Jacobi theory for Lagrangian mechanics on Lie algebroids. Zbl 1277.70018
Leok, Melvin; Sosa, Diana
2012
On the extended Euler system and the Jacobi and Weierstrass elliptic functions. Zbl 1326.33027
Crespo, Francisco; Ferrer, Sebastián
2015
Generalized submersiveness of second-order ordinary differential equations. Zbl 1191.37033
Sarlet, W.; Prince, G. E.; Crampin, M.
2009
Embedded geodesic problems and optimal control for matrix Lie groups. Zbl 1230.49014
Bloch, Anthony M.; Crouch, Peter E.; Nordkvist, Nikolaj; Sanyal, Amit K.
2011
Lagrangian and Hamiltonian formalism in field theory: a simple model. Zbl 1222.70025
Grabowska, Katarzyna
2010
Twisted isotropic realisations of twisted Poisson structures. Zbl 1334.37063
Sansonetto, Nicola; Sepe, Daniele
2013
Multi-symplectic method to simulate soliton resonance of $${(2+1)}$$-dimensional Boussinesq equation. Zbl 1277.35111
Hu, Weipeng; Deng, Zichen; Qin, Yuyue
2013
The Toda lattice, old and new. Zbl 1319.37046
Tomei, Carlos
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.
2009
Discriminantly separable polynomials and quad-equations. Zbl 1309.37067
2014
The Hamilton-Jacobi equation, integrability, and nonholonomic systems. Zbl 1304.70018
Bates, Larry M.; Fassò, Francesco; Sansonetto, Nicola
2014
A note on the Wehrheim-Woodward category. Zbl 1257.53111
Weinstein, Alan
2011
Stable closed equilibria for anisotropic surface energies: surfaces with edges. Zbl 1246.49037
Palmer, Bennett
2012
Lagrangian dynamics of submanifolds. Relativistic mechanics. Zbl 1248.53065
2012
Morse theory for elastica. Zbl 1352.58003
2016
The Frank tensor as a boundary condition in intrinsic linearized elasticity. Zbl 1356.35244
Van Goethem, Nicolas
2016
The Tulczyjew triple in mechanics on a Lie group. Zbl 1354.22022
Grabowska, Katarzyna; Zając, Marcin
2016
Finiteness of relative equilibria in the planar generalized $$N$$-body problem with fixed subconfigurations. Zbl 1367.70027
Hampton, Marshall; Jensen, Anders Nedergaard
2015
On the discretization of nonholonomic dynamics in $$\mathbb{R}^n$$. Zbl 1353.70034
Jiménez, Fernando; Scheurle, Jürgen
2015
On the relation between geometrical quantum mechanics and information geometry. Zbl 1328.53044
Molitor, Mathieu
2015
A Lagrangian approach to extremal curves on Stiefel manifolds. Zbl 1477.58006
Hüper, Knut; Markina, Irina; Silva Leite, Fátima
2021
Error analysis of forced discrete mechanical systems. Zbl 1491.37071
Fernández, Javier; Zurita, Sebastián Elías Graiff; Grillo, Sergio
2021
Geometric optimal techniques to control the muscular force response to functional electrical stimulation using a non-isometric force-fatigue model. Zbl 1477.49028
Bonnard, Bernard; Rouot, Jérémy
2021
Contact Hamiltonian and Lagrangian systems with nonholonomic constraints. Zbl 07433995
de León, Manuel; Jiménez, Víctor M.; Lainz, Manuel
2021
On nomalized differentials on spectral curves associated with the sinh-Gordon equation. Zbl 07433997
Kappeler, Thomas; Widmer, Yannick
2021
A unifying approach for rolling symmetric spaces. Zbl 07433998
Krakowski, Krzysztof A.; Machado, Luís; Silva Leite, Fátima
2021
Local convexity for second order differential equations on a Lie algebroid. Zbl 1477.34028
Marrero, Juan Carlos; de Diego, David Martín; Martínez, Eduardo
2021
Matched pair analysis of the Vlasov plasma. Zbl 1489.37085
Esen, Oǧul; Sütlü, Serkan
2021
Constraint algorithm for singular field theories in the $$k$$-cosymplectic framework. Zbl 1434.70047
Gràcia, Xavier; Rivas, Xavier; Román-Roy, Narciso
2020
Nonholonomic and constrained variational mechanics. Zbl 1476.70057
Lewis, Andrew D.
2020
Control of locomotion systems and dynamics in relative periodic orbits. Zbl 1459.37092
Fassò, Francesco; Passarella, Simone; Zoppello, Marta
2020
Rolling and no-slip bouncing in cylinders. Zbl 1441.37070
Chumley, Timothy; Cook, Scott; Cox, Christopher; Feres, Renato
2020
On the degenerate Boussinesq equations on surfaces. Zbl 1437.35582
Li, Siran; Wu, Jiahong; Zhao, Kun
2020
Relative equilibria of the 3-body problem in $$\mathbb{R}^4$$. Zbl 1459.37082
Albouy, Alain; Dullin, Holger R.
2020
Getting into the vortex: on the contributions of James Montaldi. Zbl 1452.76004
Koiller, Jair
2020
A summary on symmetries and conserved quantities of autonomous Hamiltonian systems. Zbl 1460.37052
Román-Roy, Narciso
2020
Self-organization on Riemannian manifolds. Zbl 1431.35218
Fetecau, Razvan C.; Zhang, Beril
2019
Global well-posedness of a 3D MHD model in porous media. Zbl 1431.76155
Titi, Edriss S.; Trabelsi, Saber
2019
Euler-Lagrangian approach to 3D stochastic Euler equations. Zbl 1435.35290
Flandoli, Franco; Luo, Dejun
2019
Riemann-Hilbert problem, integrability and reductions. Zbl 1431.35053
Gerdjikov, Vladimir S.; Ivanov, Rossen I.; Stefanov, Aleksander A.
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
2019
New multisymplectic approach to the metric-affine (Einstein-Palatini) action for gravity. Zbl 1433.83005
Gaset, Jordi; Román-Roy, Narciso
2019
Relative periodic solutions of the $$n$$-vortex problem on the sphere. Zbl 1433.37054
García-Azpeitia, Carlos
2019
Variational integrators for anelastic and pseudo-incompressible flows. Zbl 1431.76103
Bauer, Werner; Gay-Balmaz, François
2019
Dispersive Lamb systems. Zbl 1435.35223
Olver, Peter J.; Sheils, Natalie E.
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
2019
Morse families and Dirac systems. Zbl 1439.37060
Barbero Liñán, María; Cendra, Hernán; Toraño, Eduardo García; Martín de Diego, David
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
2019
Generalized point vortex dynamics on $$\mathbb{CP}^2$$. Zbl 1434.37038
2019
Momentum maps for mixed states in quantum and classical mechanics. Zbl 1448.81070
Tronci, Cesare
2019
A geometric perspective on the Piola identity in Riemannian settings. Zbl 1426.53087
Kupferman, Raz; Shachar, Asaf
2019
A symmetry-adapted numerical scheme for SDEs. Zbl 07168110
De Vecchi, Francesco C.; Romano, Andrea; Ugolini, Stefania
2019
Improving E. Cartan considerations on the invariance of nonholonomic mechanics. Zbl 07168114
Oliva, Waldyr M.; Terra, Gláucio
2019
Conservation laws in discrete geometry. Zbl 1447.76025
Margolin, Len G.; Baty, Roy S.
2019
Embedding Camassa-Holm equations in incompressible Euler. Zbl 1435.35307
Natale, Andrea; Vialard, François-Xavier
2019
Non-abelian momentum polytopes for products of $$\mathbb{CP}^2$$. Zbl 1434.53091
2019
Geometry of Routh reduction. Zbl 1448.70050
Grabowska, Katarzyna; Urbański, Pawel
2019
A comparison of vakonomic and nonholonomic dynamics with applications to non-invariant Chaplygin systems. Zbl 1426.49050
Jóźwikowski, Michał; Respondek, Witold
2019
A family of compact semitoric systems with two focus-focus singularities. Zbl 1428.37053
Hohloch, Sonja; Palmer, Joseph
2018
Alternative angle-based approach to the $$\mathcal{KS}$$-map. An interpretation through symmetry and reduction. Zbl 1411.70020
Ferrer, Sebastián; Crespo, Francisco
2018
A note on time-optimal paths on perturbed spheroid. Zbl 1405.53061
Kopacz, Piotr
2018
Vortex pairs on a triaxial ellipsoid and Kimura’s conjecture. Zbl 1405.76008
Rodrigues, Adriano Regis; Castilho, César; Koiller, Jair
2018
Lagrange-d’Alembert-Poincaré equations by several stages. Zbl 1407.37087
Cendra, Hernán; Díaz, Viviana A.
2018
Classical field theory on Lie algebroids: multisymplectic formalism. Zbl 1406.58003
Martínez, Eduardo
2018
On the geometry of the Schmidt-Legendre transformation. Zbl 1411.70029
Esen, Oğul; Guha, Partha
2018
A coordinate-free theory of virtual holonomic constraints. Zbl 1428.53022
Consolini, Luca; Costalunga, Alessandro; Maggiore, Manfredi
2018
Symmetries of line bundles and Noether theorem for time-dependent nonholonomic systems. Zbl 1407.37088
Jovanović, Božidar
2018
Bohr-Sommerfeld-Heisenberg quantization of the mathematical pendulum. Zbl 1412.81155
Cushman, Richard; Śniatycki, Jędrzej
2018
Geometry of matrix decompositions seen through optimal transport and information geometry. Zbl 1368.15010
Modin, Klas
2017
Computing distances and geodesics between manifold-valued curves in the SRV framework. Zbl 1366.58005
Le Brigant, Alice
2017
Local well-posedness of the EPDiff equation: a survey. Zbl 1362.58003
Kolev, Boris
2017
Second-order constrained variational problems on Lie algebroids: applications to optimal control. Zbl 1410.70020
Colombo, Leonardo
2017
Covariant Hamiltonian field theories on manifolds with boundary: Yang-Mills theories. Zbl 1410.70029
Ibort, Alberto; Spivak, Amelia
2017
Quotient elastic metrics on the manifold of arc-length parameterized plane curves. Zbl 1365.53002
Tumpach, Alice B.; Preston, Stephen C.
2017
The Madelung transform as a momentum map. Zbl 1440.53095
Fusca, Daniel
2017
About simple variational splines from the Hamiltonian viewpoint. Zbl 1368.65092
Balseiro, Paula; Stuchi, Teresinha J.; Cabrera, Alejandro; Koiller, Jair
2017
Modelling anisotropic covariance using stochastic development and sub-Riemannian frame bundle geometry. Zbl 1367.53031
Sommer, Stefan; Svane, Anne Marie
2017
On the relationship between the energy shaping and the Lyapunov constraint based methods. Zbl 1373.93248
Grillo, Sergio; Salomone, Leandro; Zuccalli, Marcela
2017
Möbius invariants in image recognition. Zbl 1365.53014
2017
The $$2$$-plectic structures induced by the Lie bialgebras. Zbl 1366.53056
2017
Uniform motions in central fields. Zbl 1407.70022
Swaczyna, Martin; Volný, Petr
2017
Complete spelling rules for the Monster tower over three-space. Zbl 1369.58003
Castro, Alex; Howard, Wyatt; Shanbrom, Corey
2017
On a geometric framework for Lagrangian supermechanics. Zbl 1377.58001
Bruce, Andrew James; Grabowska, Katarzyna; Moreno, Giovanni
2017
The physical foundations of geometric mechanics. Zbl 1427.70020
Lewis, Andrew D.
2017
Shape analysis on Lie groups with applications in computer animation. Zbl 1366.65018
Celledoni, Elena; Eslitzbichler, Markus; Schmeding, Alexander
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.
2016
Invariant nonholonomic Riemannian structures on three-dimensional Lie groups. Zbl 1390.70040
Barrett, Dennis I.; Biggs, Rory; Remsing, Claudiu C.; Rossi, Olga
2016
Poisson and integrable systems through the Nambu bracket and its Jacobi multiplier. Zbl 1359.37124
Crespo, Francisco; Molero, Francisco Javier; Ferrer, Sebastián
2016
A weak approach to the stochastic deformation of classical mechanics. Zbl 1375.37175
Lassalle, Rémi; Zambrini, Jean Claude
2016
Morse theory for elastica. Zbl 1352.58003
2016
The Frank tensor as a boundary condition in intrinsic linearized elasticity. Zbl 1356.35244
Van Goethem, Nicolas
2016
The Tulczyjew triple in mechanics on a Lie group. Zbl 1354.22022
Grabowska, Katarzyna; Zając, Marcin
2016
Free Courant and derived Leibniz pseudoalgebras. Zbl 1388.17003
Jubin, Benoît; Poncin, Norbert; Uchino, Kyosuke
2016
The projective symplectic geometry of higher order variational problems: minimality conditions. Zbl 1369.49024
Durán, Carlos; Otero, Diego
2016
On strain measures and the geodesic distance to $$\mathrm{SO}_n$$ in the general linear group. Zbl 1355.53076
Kupferman, Raz; Shachar, Asaf
2016
Fredholm properties of the $$L^2$$ exponential map on the symplectomorphism group. Zbl 1386.35318
Benn, James
2016
Symplectic reduction at zero angular momentum. Zbl 1341.53116
Cape, Joshua; Herbig, Hans-Christian; Seaton, Christopher
2016
Infinitesimally natural principal bundles. Zbl 1350.53063
Janssens, Bas
2016
No monodromy in the champagne bottle, or singularities of a superintegrable system. Zbl 1404.70045
Bates, Larry M.; Fassò, Francesco
2016
Kirchhoff’s equations of motion via a constrained Zakharov system. Zbl 1418.37109
Shashikanth, Banavara N.
2016
Lagrangian reduction of discrete mechanical systems by stages. Zbl 1333.37071
Fernández, Javier; Tori, Cora; Zuccalli, Marcela
2016
Neighboring extremal optimal control for mechanical systems on Riemannian manifolds. Zbl 1369.49063
Bloch, Anthony M.; Gupta, Rohit; Kolmanovsky, Ilya V.
2016
An approximation theorem in classical mechanics. Zbl 1368.37064
Stoica, Cristina
2016
Completeness properties of Sobolev metrics on the space of curves. Zbl 1328.58007
Bruveris, Martins
2015
Tulczyjew triples in higher derivative field theory. Zbl 1367.70062
Grabowska, Katarzyna; Vitagliano, Luca
2015
A new multisymplectic unified formalism for second order classical field theories. Zbl 1372.70057
Prieto-Martínez, Pedro Daniel; Román-Roy, Narciso
2015
Two-component higher order Camassa-Holm systems with fractional inertia operator: a geometric approach. Zbl 1321.35197
Escher, Joachim; Lyons, Tony
2015
The emergence of torsion in the continuum limit of distributed edge-dislocations. Zbl 1359.53074
Kupferman, Raz; Maor, Cy
2015
Higher-order variational calculus on Lie algebroids. Zbl 1353.70048
Martínez, Eduardo
2015
Models for higher algebroids. Zbl 1330.58015
Jóźwikowski, Michał; Rotkiewicz, Mikołaj
2015
On the extended Euler system and the Jacobi and Weierstrass elliptic functions. Zbl 1326.33027
Crespo, Francisco; Ferrer, Sebastián
2015
Finiteness of relative equilibria in the planar generalized $$N$$-body problem with fixed subconfigurations. Zbl 1367.70027
Hampton, Marshall; Jensen, Anders Nedergaard
2015
On the discretization of nonholonomic dynamics in $$\mathbb{R}^n$$. Zbl 1353.70034
Jiménez, Fernando; Scheurle, Jürgen
2015
On the relation between geometrical quantum mechanics and information geometry. Zbl 1328.53044
Molitor, Mathieu
2015
Hypersymplectic structures on Courant algebroids. Zbl 1351.53098
Antunes, Paulo; Nunes da Costa, Joana M.
2015
On the control of stability of periodic orbits of completely integrable systems. Zbl 1344.37026
Tudoran, Răzvan M.
2015
Geometric arbitrage theory and market dynamics. Zbl 1335.91119
Farinelli, Simone
2015
A unifying mechanical equation with applications to non-holonomic constraints and dissipative phenomena. Zbl 1367.70037
Minguzzi, E.
2015
Canonoid and Poissonoid transformations, symmetries and biHamiltonian structures. Zbl 1330.53102
Rastelli, Giovanni; Santoprete, Manuele
2015
Invariant metrics on Lie groups. Zbl 1404.53032
Thompson, Gerard
2015
...and 107 more Documents
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### Cited by 854 Authors

 28 Bauer, Martin 27 de León Rodríguez, Manuel 19 Gay-Balmaz, François 19 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 Dallas 13 Modin, Klas 13 Tsyganov, Andreĭ Vladimirovich 12 Michor, Peter Wolfram 11 García-Naranjo, Luis C. 11 Grabowski, Janusz 10 Ratiu, Tudor Stefan 10 Suris, Yuri Borisovich 9 Sardón, Cristina 9 Tronci, Cesare 9 Van Goethem, Nicolas 8 Balseiro, Paula 8 Grabowska, Katarzyna 8 Grillo, Sergio Daniel 8 Harms, Philipp 8 Kolev, Boris 8 Kupferman, Raz 8 Marrero, Juan Carlos 8 Mestdag, Tom 8 Neff, Patrizio 7 Borisov, Alekseĭ Vladimirovich 7 Bucataru, Ioan 7 Escher, Joachim 7 Ha, Seung-Yeal 7 Koiller, Jair 7 Leok, Melvin 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 Park, Hansol 6 Preston, Stephen C. 6 Prieto-Martínez, Pedro Daniel 6 Sansonetto, Nicola 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 Charon, Nicolas 5 Cotter, Colin John 5 de Lucas, Javier 5 Dragović, Vladimir 5 Gràcia, Xavier 5 Guha, Partha 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. 4 Arnaudon, Alexis 4 Barbero-Liñán, María 4 Calderón Martín, Antonio Jesús 4 Cendra, Hernán 4 Cismas, Emanuel-Ciprian 4 Durán Fernandez, Carlos Eduardo 4 Fassò, Francesco 4 Ferraro, Sebastián J. 4 García-Toraño Andrés, Eduardo 4 Jiménez, Víctor Manuel 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 Remsing, Claudiu-Cristian 4 Rivas, Xavier 4 Sheng, Yunhe 4 Srivastava, Anuj 4 Sun, Chengfeng 4 Sütlü, Serkan 4 Verdier, Olivier 4 Vizman, Cornelia 4 Vorotnikov, Dmitry A. 4 Welker, Kathrin ...and 754 more Authors
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### Cited in 202 Journals

 72 Journal of Geometric Mechanics 48 Journal of Geometry and Physics 34 Journal of Mathematical Physics 33 Journal of Nonlinear Science 27 Regular and Chaotic Dynamics 26 International Journal of Geometric Methods in Modern Physics 20 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 Differential Equations 11 Journal of Physics A: Mathematical and Theoretical 10 Communications in Mathematical Physics 10 Calculus of Variations and Partial Differential Equations 10 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 9 Journal of Mathematical Imaging and Vision 9 Foundations of Computational Mathematics 8 Nonlinearity 8 SIAM Journal on Imaging Sciences 7 Theoretical and Mathematical Physics 7 Annals of Global Analysis and Geometry 7 Nonlinear Analysis. Real World Applications 6 Journal of Mathematical Analysis and Applications 6 Monatshefte für Mathematik 6 SIAM Journal on Control and Optimization 6 Celestial Mechanics and Dynamical Astronomy 5 Nuclear Physics. B 5 SIAM Journal on Mathematical Analysis 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 Letters in Mathematical Physics 4 Physics Letters. A 4 Physica D 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Indagationes Mathematicae. New Series 4 SIAM Journal on Applied Dynamical Systems 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 4 Information Geometry 3 Classical and Quantum Gravity 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Numerische Mathematik 3 Acta Applicandae Mathematicae 3 Stochastic Processes and their Applications 3 Journal of Lie Theory 3 Mathematics and Mechanics of Solids 3 Chaos 3 Communications in Mathematics 3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 3 Russian Journal of Nonlinear Dynamics 2 Journal of Fluid Mechanics 2 Applied Mathematics and Computation 2 Applied Mathematics and Optimization 2 Automatica 2 BIT 2 Geometriae Dedicata 2 Journal of Optimization Theory and Applications 2 Proceedings of the American Mathematical Society 2 Quarterly of Applied Mathematics 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 Advances in Computational Mathematics 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 2 AMM. Applied Mathematics and Mechanics. (English Edition) 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 ...and 102 more Journals
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### Cited in 58 Fields

 295 Mechanics of particles and systems (70-XX) 275 Differential geometry (53-XX) 242 Dynamical systems and ergodic theory (37-XX) 142 Global analysis, analysis on manifolds (58-XX) 139 Partial differential equations (35-XX) 88 Calculus of variations and optimal control; optimization (49-XX) 73 Fluid mechanics (76-XX) 72 Numerical analysis (65-XX) 46 Ordinary differential equations (34-XX) 46 Mechanics of deformable solids (74-XX) 41 Quantum theory (81-XX) 37 Nonassociative rings and algebras (17-XX) 36 Topological groups, Lie groups (22-XX) 33 Systems theory; control (93-XX) 22 Computer science (68-XX) 22 Relativity and gravitational theory (83-XX) 21 Algebraic geometry (14-XX) 21 Probability theory and stochastic processes (60-XX) 19 Statistics (62-XX) 18 Statistical mechanics, structure of matter (82-XX) 15 Difference and functional equations (39-XX) 14 Information and communication theory, circuits (94-XX) 13 Operator theory (47-XX) 13 Algebraic topology (55-XX) 12 Manifolds and cell complexes (57-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 11 Several complex variables and analytic spaces (32-XX) 10 Functional analysis (46-XX) 9 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 Functions of a complex variable (30-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 Measure and integration (28-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 Field theory and polynomials (12-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral equations (45-XX)