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/jgm Successor: Communications in Analysis and Mechanics Comments: Journal; No longer indexed Documents Indexed: 331 Publications (2009–2023) References Indexed: 208 Publications with 6,732 References. all top 5 Latest Issues 15, No. 1 (2023) 14, No. 4 (2022) 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) all top 5 Authors 13 de León Rodríguez, Manuel 10 Martín de Diego, David 8 Marrero Gonzalez, Juan Carlos 8 Román-Roy, Narciso 7 Colombo, Leonardo Jesus 7 Fernandez, Javier Alejandro 7 Grabowska, Katarzyna 7 Grillo, Sergio Daniel 7 Tronci, Cesare 7 Zuccalli, Marcela 6 Bloch, Anthony Michael 6 Castrillón López, Marco 6 Ferrer, Sebastián 6 Gay-Balmaz, François 6 Holm, Darryl Dallas 6 Lewis, Andrew D. 6 Ohsawa, Tomoki 6 Ortega, Juan-Pablo 5 Fassò, Francesco 4 Cendra, Hernán 4 Crespo, Francisco 4 Esen, Oğul 4 García, Pedro Luis 4 Grabowski, Janusz 4 Michor, Peter Wolfram 4 Montaldi, James 4 Ratiu, Tudor Stefan 4 Sansonetto, Nicola 4 Scheurle, Jürgen 4 Silva Leite, Fátima 3 Bauer, Martin 3 Bruveris, Martins 3 Bursztyn, Henrique 3 Cabrera, Alejandro 3 Crampin, Mike 3 Crouch, Peter E. 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 Leok, Melvin 3 Marsden, Jerrold Eldon 3 Mestdag, Tom 3 Rivas, Xavier 3 Shanbrom, Corey 3 Tori, Cora Inés 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, Joan 2 Cariñena, José F. 2 Cotter, Colin John 2 Cruz, Inês 2 Díaz, Viviana Alejandra 2 Durán Fernandez, Carlos Eduardo 2 Ferraro, Sebastián J. 2 García-Toraño Andrés, Eduardo 2 Gaset, Jordi 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 Lean, Madeleine 2 Kosmann-Schwarzbach, Yvette 2 Marmo, Giuseppe 2 McLachlan, Robert I. 2 Molero, Francisco Javier 2 Nordkvist, Nikolaj 2 Offen, Christian 2 Olver, Peter John 2 Otero, Diego 2 Poncin, Norbert 2 Prieto-Martínez, Pedro Daniel 2 Rañada, Manuel F. 2 Respondek, Witold 2 Rodrigo, César 2 Rotkiewicz, Mikołaj 2 Salgado, Modesto R. 2 Salomone, Leandro M. 2 Sanyal, Amit K. 2 Sarlet, Willy 2 Shachar, Asaf ...and 337 more Authors all top 5 Fields 160 Mechanics of particles and systems (70-XX) 159 Differential geometry (53-XX) 130 Dynamical systems and ergodic theory (37-XX) 61 Global analysis, analysis on manifolds (58-XX) 37 Partial differential equations (35-XX) 35 Calculus of variations and optimal control; optimization (49-XX) 30 Ordinary differential equations (34-XX) 26 Topological groups, Lie groups (22-XX) 22 Numerical analysis (65-XX) 21 Fluid mechanics (76-XX) 21 Systems theory; control (93-XX) 15 Nonassociative rings and algebras (17-XX) 14 Mechanics of deformable solids (74-XX) 12 General and overarching topics; collections (00-XX) 10 History and biography (01-XX) 10 Quantum theory (81-XX) 9 Probability theory and stochastic processes (60-XX) 8 Manifolds and cell complexes (57-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Algebraic geometry (14-XX) 6 Category theory; homological algebra (18-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) 4 Relativity and gravitational theory (83-XX) 3 Commutative algebra (13-XX) 3 Statistics (62-XX) 3 Computer science (68-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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 263 Publications have been cited 1,539 times in 1,119 Documents Cited by ▼ Year ▼ 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 56 2010 Sobolev metrics on shape space of surfaces. Zbl 1262.58004 Bauer, Martin; Harms, Philipp; Michor, Peter W. 49 2011 Right-invariant Sobolev metrics of fractional order on the diffeomorphism group of the circle. Zbl 1308.58005 Escher, Joachim; Kolev, Boris 37 2014 On Euler’s equation and ‘EPDiff’. Zbl 1274.35277 Mumford, David; Michor, Peter W. 26 2013 Variational formulation of commuting Hamiltonian flows: multi-time Lagrangian 1-forms. Zbl 1330.37057 Suris, Yuri B. 25 2013 The supergeometry of Loday algebroids. Zbl 1294.53072 Grabowski, Janusz; Khudaverdyan, David; Poncin, Norbert 22 2013 Clebsch optimal control formulation in mechanics. Zbl 1233.49005 Gay-Balmaz, François; Ratiu, Tudor S. 20 2011 Sobolev metrics on shape space. II: Weighted Sobolev metrics and almost local metrics. Zbl 1281.58003 Bauer, Martin; Harms, Philipp; Michor, Peter W. 20 2012 Integrable Euler top and nonholonomic Chaplygin ball. Zbl 1348.70014 Tsiganov, Andrey 19 2011 Nonholonomic Hamilton-Jacobi equation and integrability. Zbl 1288.70009 Ohsawa, Tomoki; Bloch, Anthony M. 19 2009 Point vortices on the sphere: stability of symmetric relative equilibria. Zbl 1248.70020 Laurent-Polz, Frederic; Montaldi, James; Roberts, Mark 18 2011 \(G\)-Chaplygin systemswith internal symmetries, truncation, and an (almost) symplecticview of Chaplygin’s ball. Zbl 1168.53327 Hochgerner, Simon; García-Naranjo, Luis 18 2009 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 18 2011 Higher-order variational problems on Lie groups and optimal control applications. Zbl 1307.70018 Colombo, Leonardo; Martín de Diego, David 17 2014 Geometry of matrix decompositions seen through optimal transport and information geometry. Zbl 1368.15010 Modin, Klas 17 2017 Shape analysis on Lie groups with applications in computer animation. Zbl 1366.65018 Celledoni, Elena; Eslitzbichler, Markus; Schmeding, Alexander 17 2016 Three-dimensional discrete systems of Hirota-Kimura type and deformed Lie-Poisson algebras. Zbl 1168.37318 Hone, Andrew N. W.; Petrera, Matteo 17 2009 Geodesic Vlasov equations and their integrable moment closures. Zbl 1190.82033 Holm, Darryl D.; Tronci, Cesare 17 2009 The geometry and dynamics of interacting rigid bodies and point vortices. Zbl 1191.53055 Vankerschaver, Joris; Kanso, Eva; Marsden, Jerrold E. 17 2009 Completeness properties of Sobolev metrics on the space of curves. Zbl 1328.58007 Bruveris, Martins 16 2015 Semi-basic 1-forms and Helmholtz conditions for the inverse problem of the calculus of variations. Zbl 1189.58006 Bucataru, Ioan; Dahl, Matias F. 16 2009 A Hamilton-Jacobi theory on Poisson manifolds. Zbl 1304.70019 de León, Manuel; Martín de Diego, David; Vaquero, Miguel 15 2014 Tulczyjew triples in higher derivative field theory. Zbl 1367.70062 Grabowska, Katarzyna; Vitagliano, Luca 14 2015 A new multisymplectic unified formalism for second order classical field theories. Zbl 1372.70057 Prieto-Martínez, Pedro Daniel; Román-Roy, Narciso 14 2015 A family of compact semitoric systems with two focus-focus singularities. Zbl 1428.37053 Hohloch, Sonja; Palmer, Joseph 14 2018 Global well-posedness of a 3D MHD model in porous media. Zbl 1431.76155 Titi, Edriss S.; Trabelsi, Saber 14 2019 Self-organization on Riemannian manifolds. Zbl 1431.35218 Fetecau, Razvan C.; Zhang, Beril 14 2019 Covariant Hamiltonian field theories on manifolds with boundary: Yang-Mills theories. Zbl 1410.70029 Ibort, Alberto; Spivak, Amelia 13 2017 Dirac cotangent bundle reduction. Zbl 1168.70314 Yoshimura, Hiroaki; Marsden, Jerrold E. 13 2009 Sub-Riemannian and sub-Lorentzian geometry on SU(1,1) and on its universal cover. Zbl 1231.53031 Grong, Erlend; Vasil’ev, Alexander 13 2011 Two-component higher order Camassa-Holm systems with fractional inertia operator: a geometric approach. Zbl 1321.35197 Escher, Joachim; Lyons, Tony 12 2015 Local well-posedness of the EPDiff equation: a survey. Zbl 1362.58003 Kolev, Boris 12 2017 A property of conformally Hamiltonian vector fields; application to the Kepler problem. Zbl 1417.37187 Marle, Charles-Michel 12 2012 Computing distances and geodesics between manifold-valued curves in the SRV framework. Zbl 1366.58005 Le Brigant, Alice 11 2017 Euler equations on a semi-direct product of the diffeomorphisms group by itself. Zbl 1277.37101 Escher, Joachim; Ivanov, Rossen; Kolev, Boris 11 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. 11 2012 Geometry of plasma dynamics. II: Lie algebra of Hamiltonian vector fields. Zbl 1375.76222 Esen, Oğul; Gümral, Hasan 11 2012 The non-Riemannian dislocated crystal: a tribute to Ekkehart Kröner (1919–2000). Zbl 1281.74029 Van Goethem, Nicolas 11 2010 The Hess-Appelrot system. I. Invariant torus and its normal hyperbolicity. Zbl 1264.05074 Lubowiecki, Paweł; Żołądek, Henryk 11 2012 Contact Hamiltonian and Lagrangian systems with nonholonomic constraints. Zbl 1496.37071 de León, Manuel; Jiménez, Víctor M.; Lainz, Manuel 11 2021 The Hamilton-Jacobi theory and the analogy between classical and quantum mechanics. Zbl 1278.70014 Marmo, Giuseppe; Morandi, Giuseppe; Mukunda, Narasimhaiengar 10 2009 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 10 2013 Parametric quartic Hamiltonian model. A unified treatment of classic integrable systems. Zbl 1338.37074 Ferrer, Sebastián; Crespo, Francisco 9 2014 Higher-order variational calculus on Lie algebroids. Zbl 1353.70048 Martínez, Eduardo 9 2015 Quotient elastic metrics on the manifold of arc-length parameterized plane curves. Zbl 1365.53002 Tumpach, Alice B.; Preston, Stephen C. 9 2017 Models for higher algebroids. Zbl 1330.58015 Jóźwikowski, Michał; Rotkiewicz, Mikołaj 9 2015 The emergence of torsion in the continuum limit of distributed edge-dislocations. Zbl 1359.53074 Kupferman, Raz; Maor, Cy 9 2015 Second-order constrained variational problems on Lie algebroids: applications to optimal control. Zbl 1410.70020 Colombo, Leonardo 9 2017 Variational principles for spin systems and the Kirchhoff rod. Zbl 1288.70012 Gay-Balmaz, François; Holm, Darryl D.; Ratiu, Tudor S. 9 2009 The stochastic Hamilton-Jacobi equation. Zbl 1278.60104 Lázaro-Camí, Joan-Andreu; Ortega, Juan-Pablo 9 2009 Linear weakly Noetherian constants of motion are horizontal gauge momenta. Zbl 1251.37054 Fassò, Francesco; Giacobbe, Andrea; Sansonetto, Nicola 9 2012 Hamiltonian mechanical systems on Lie algebroids, unimodularity and preservation of volumes. Zbl 1282.53071 Marrero, Juan Carlos 9 2010 When is a control system mechanical? Zbl 1206.93029 Ricardo, Sandra; Respondek, Witold 9 2010 The Kadomtsev-Petviashvili hierarchy and the Mulase factorization of formal Lie groups. Zbl 1330.37061 Eslami Rad, Anahita; Reyes, Enrique G. 9 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. 8 2016 Superposition rules and second-order Riccati equations. Zbl 1225.34015 Cariñena, José F.; de Lucas Araujo, Javier 8 2011 Vector fields with distributions and invariants of ODEs. Zbl 1271.34041 Jakubczyk, Bronisław; Kryński, Wojciech 8 2013 Tulczyjew triples: from statics to field theory. Zbl 1357.70016 Grabowska, Katarzyna; Grabowski, Janusz 8 2013 Canonoid transformations and master symmetries. Zbl 1271.70031 Cariñena, José F.; Falceto, Fernando; Rañada, Manuel F. 8 2013 Alternative angle-based approach to the \(\mathcal{KS}\)-map. An interpretation through symmetry and reduction. Zbl 1411.70020 Ferrer, Sebastián; Crespo, Francisco 8 2018 Geometry of Lagrangian and Hamiltonian formalisms in the dynamics of strings. Zbl 1304.70029 Grabowski, Janusz; Grabowska, Katarzyna; Urbański, Paweł 7 2014 Finiteness of relative equilibria in the planar generalized \(N\)-body problem with fixed subconfigurations. Zbl 1367.70027 Hampton, Marshall; Jensen, Anders Nedergaard 7 2015 Geometric arbitrage theory and market dynamics. Zbl 1335.91119 Farinelli, Simone 7 2015 Tensor products of Dirac structures and interconnection in Lagrangian mechanics. Zbl 1304.70016 Jacobs, Henry O.; Yoshimura, Hiroaki 7 2014 Bundle-theoretic methods for higher-order variational calculus. Zbl 1308.58002 Jóźwikowski, Michał; Rotkiewicz, Mikołaj 7 2014 On the number of weakly Noetherian constants of motion of nonholonomic systems. Zbl 1192.37077 Fassò, Francesco; Giacobbe, Andrea; Sansonetto, Nicola 7 2009 Variational integrators for hamiltonizable nonholonomic systems. Zbl 1262.65193 Fernandez, Oscar E.; Bloch, Anthony M.; Olver, P. J. 7 2012 Lagrangian reduction of nonholonomic discrete mechanical systems. Zbl 1196.37093 Fernández, Javier; Tori, Cora; Zuccalli, Marcela 7 2010 The leaf space of a multiplicative foliation. Zbl 1266.58006 Jotz, M. 7 2012 Families of canonical transformations by Hamilton-Jacobi-Poincaré equation. Application to rotational and orbital motion. Zbl 1281.70028 Ferrer, Sebastián; Lara, Martin 7 2010 Computing metamorphoses between discrete measures. Zbl 1319.49069 Richardson, Casey L.; Younes, Laurent 7 2013 A geometric approach to discrete connections on principal bundles. Zbl 1285.53009 Fernández, Javier; Zuccalli, Marcela 7 2013 Dirac structures and Hamilton-Jacobi theory for Lagrangian mechanics on Lie algebroids. Zbl 1277.70018 Leok, Melvin; Sosa, Diana 7 2012 Euler-Lagrangian approach to 3D stochastic Euler equations. Zbl 1435.35290 Flandoli, Franco; Luo, Dejun 7 2019 A Lagrangian approach to extremal curves on Stiefel manifolds. Zbl 1477.58006 Hüper, Knut; Markina, Irina; Silva Leite, Fátima 7 2021 Invariant nonholonomic Riemannian structures on three-dimensional Lie groups. Zbl 1390.70040 Barrett, Dennis I.; Biggs, Rory; Remsing, Claudiu C.; Rossi, Olga 7 2016 A weak approach to the stochastic deformation of classical mechanics. Zbl 1375.37175 Lassalle, Rémi; Zambrini, Jean Claude 7 2016 The Tulczyjew triple in mechanics on a Lie group. Zbl 1354.22022 Grabowska, Katarzyna; Zając, Marcin 7 2016 New multisymplectic approach to the metric-affine (Einstein-Palatini) action for gravity. Zbl 1433.83005 Gaset, Jordi; Román-Roy, Narciso 7 2019 Koopman wavefunctions and classical states in hybrid quantum-classical dynamics. Zbl 1506.37113 Gay-Balmaz, François; Tronci, Cesare 7 2022 Nonlinear constraints in nonholonomic mechanics. Zbl 1304.70015 Popescu, Paul; Ida, Cristian 6 2014 Un-reduction. Zbl 1268.37081 Bruveris, Martins; Ellis, David C. P.; Holm, Darryl D.; Gay-Balmaz, François 6 2011 The ubiquity of the symplectic Hamiltonian equations in mechanics. Zbl 1168.70315 Balseiro, P.; de León, M.; Marrero, J. C.; Martín de Diego, D. 6 2009 Classical field theories of first order and Lagrangian submanifolds of premultisymplectic manifolds. Zbl 1387.70028 Campos, Cédric M.; Guzmán, Elisa; Marrero, Juan Carlos 6 2012 Hybrid models for perfect complex fluids with multipolar interactions. Zbl 1295.76005 Tronci, Cesare 6 2012 Lagrangian-Hamiltonian formalism for cocontact systems. Zbl 1517.70026 Rivas, Xavier; Torres, Daniel 6 2023 The Toda lattice, old and new. Zbl 1319.37046 Tomei, Carlos 6 2013 Invariant forms and automorphisms of locally homogeneous multisymplectic manifolds. Zbl 1266.53034 Echeverría-Enríquez, Arturo; Ibort, Alberto; Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso 6 2012 A note on time-optimal paths on perturbed spheroid. Zbl 1405.53061 Kopacz, Piotr 6 2018 Matched pair analysis of the Vlasov plasma. Zbl 1489.37085 Esen, Oǧul; Sütlü, Serkan 6 2021 Momentum maps for mixed states in quantum and classical mechanics. Zbl 1448.81070 Tronci, Cesare 6 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 6 2019 The Hamilton-Jacobi equation, integrability, and nonholonomic systems. Zbl 1304.70018 Bates, Larry M.; Fassò, Francesco; Sansonetto, Nicola 5 2014 The Madelung transform as a momentum map. Zbl 1440.53095 Fusca, Daniel 5 2017 Discriminantly separable polynomials and quad-equations. Zbl 1309.37067 Dragović, Vladimir; Kukić, Katarina 5 2014 About simple variational splines from the Hamiltonian viewpoint. Zbl 1368.65092 Balseiro, Paula; Stuchi, Teresinha J.; Cabrera, Alejandro; Koiller, Jair 5 2017 Modelling anisotropic covariance using stochastic development and sub-Riemannian frame bundle geometry. Zbl 1367.53031 Sommer, Stefan; Svane, Anne Marie 5 2017 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 Geodesic boundary value problems with symmetry. Zbl 1375.49032 Cotter, Colin J.; Holm, Darryl D. 5 2010 Lagrangian-Hamiltonian formalism for cocontact systems. Zbl 1517.70026 Rivas, Xavier; Torres, Daniel 6 2023 A variational derivation of the field equations of an action-dependent Einstein-Hilbert Lagrangian. Zbl 1523.70036 Gaset, Jordi; Mas, Arnau 3 2023 Time-adaptive Lagrangian variational integrators for accelerated optimization. Zbl 1539.37088 Duruisseaux, Valentin; Leok, Melvin 2 2023 Discrete Dirac reduction of implicit Lagrangian systems with abelian symmetry groups. Zbl 1523.37070 Abella, Álvaro Rodríguez; Leok, Melvin 2 2023 Backward error analysis for conjugate symplectic methods. Zbl 1514.65026 McLachlan, Robert I.; Offen, Christian 1 2023 A family of special case sequential warped-product manifolds. Zbl 1520.53039 Pigazzini, Alexander; Özel, Cenap; Jafari, Saeid; Pincak, Richard; Debenedictis, Andrew 1 2023 The dressing field method in gauge theories – geometric approach. Zbl 1517.70047 Zając, Marcin 1 2023 A multi-parameter family of metrics on Stiefel manifolds and applications. Zbl 1518.53049 Schlarb, Markus 1 2023 Local minimizers for variational obstacle avoidance on Riemannian manifolds. Zbl 1517.49010 Goodman, Jacob R. 1 2023 Koopman wavefunctions and classical states in hybrid quantum-classical dynamics. Zbl 1506.37113 Gay-Balmaz, François; Tronci, Cesare 7 2022 Backward error analysis for variational discretisations of PDEs. Zbl 1495.65159 McLachlan, Robert I.; Offen, Christian 4 2022 Riemannian cubics close to geodesics at the boundaries. Zbl 1517.34014 Camarinha, Margarida; Silva Leite, Fátima; Crouch, Peter 4 2022 Modular class of Lie \(\infty\)-algebroids and adjoint representations. Zbl 1502.53115 Caseiro, Raquel; Laurent-Gengoux, Camille 2 2022 The evolution equation: an application of groupoids to material evolution. Zbl 1495.74003 Jiménez, Víctor Manuel; De León, Manuel 2 2022 Atmospheric Ekman flows with uniform density in ellipsoidal coordinates: explicit solution and dynamical properties. Zbl 1495.35150 Yang, Taoyu; Fečkan, Michal; Wang, JinRong 2 2022 Necessary conditions for feedback stabilization and safety. Zbl 1505.93187 Kvalheim, Matthew D.; Koditschek, Daniel E. 2 2022 Control and maintenance of fully-constrained and underconstrained rigid body motion on Lie groups and their tangent bundles. Zbl 1498.70008 McCann, Brennan; Nazari, Morad 2 2022 Constrained systems, generalized Hamilton-Jacobi actions, and quantization. Zbl 1496.14015 Cattaneo, Alberto S.; Mnev, Pavel; Wernli, Konstantin 1 2022 Parametric stability of a double pendulum with variable length and with its center of mass in an elliptic orbit. Zbl 1498.70027 de Menezes Neto, José Laudelino; Araujo, Gerson Cruz; Rothen, Yocelyn Pérez; Vidal, Claudio 1 2022 Nonlinear dispersion in wave-current interactions. Zbl 1513.76106 Holm, Darryl D.; Hu, Ruiao 1 2022 Continuous and discrete Noether’s fractional conserved quantities for restricted calculus of variations. Zbl 1487.49027 Cresson, Jacky; Jiménez, Fernando; Ober-Blöbaum, Sina 1 2022 Compatibility aspects of the method of phase synchronization for decoupling linear second-order differential equations. Zbl 1484.34056 Sarlet, Willy; Mestdag, Tom 1 2022 Pure rolling motion of hyperquadrics in pseudo-Euclidean spaces. Zbl 1496.53013 Marques, André; Silva Leite, Fátima 1 2022 Contact Hamiltonian and Lagrangian systems with nonholonomic constraints. Zbl 1496.37071 de León, Manuel; Jiménez, Víctor M.; Lainz, Manuel 11 2021 A Lagrangian approach to extremal curves on Stiefel manifolds. Zbl 1477.58006 Hüper, Knut; Markina, Irina; Silva Leite, Fátima 7 2021 Matched pair analysis of the Vlasov plasma. Zbl 1489.37085 Esen, Oǧul; Sütlü, Serkan 6 2021 Error analysis of forced discrete mechanical systems. Zbl 1491.37071 Fernández, Javier; Zurita, Sebastián Elías Graiff; Grillo, Sergio 5 2021 Local convexity for second order differential equations on a Lie algebroid. Zbl 1477.34028 Marrero, Juan Carlos; de Diego, David Martín; Martínez, Eduardo 4 2021 Dimension reduction in recurrent networks by canonicalization. Zbl 1482.68196 Grigoryeva, Lyudmila; Ortega, Juan-Pablo 4 2021 Symplectic \(\mathbb{Z}_2^n\)-manifolds. Zbl 1492.53092 Bruce, Andrew James; Grabowski, Janusz 3 2021 On twistor almost complex structures. Zbl 1489.53036 Cahen, Michel; Gutt, Simone; Rawnsley, John 3 2021 Schwinger’s picture of quantum mechanics: 2-groupoids and symmetries. Zbl 1484.81053 Ciaglia, Florio M.; Cosmo, Fabio Di; Ibort, Alberto; Marmo, Giuseppe; Schiavone, Luca 3 2021 A unifying approach for rolling symmetric spaces. Zbl 1498.70023 Krakowski, Krzysztof A.; Machado, Luís; Silva Leite, Fátima 2 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 1 2021 On nomalized differentials on spectral curves associated with the sinh-Gordon equation. Zbl 1510.37108 Kappeler, Thomas; Widmer, Yannick 1 2021 On the history of Lie brackets, crossed modules, and Lie-Rinehart algebras. Zbl 07453484 Huebschmann, Johannes 1 2021 From Schouten to Mackenzie: notes on brackets. Zbl 1483.17001 Kosmann-Schwarzbach, Yvette 1 2021 The principle of virtual work and Hamilton’s principle on Galilean manifolds. Zbl 1485.70020 Capobianco, Giuseppe; Winandy, Tom; Eugster, Simon R. 1 2021 On computational Poisson geometry. I: Symbolic foundations. Zbl 1512.53002 Evangelista-Alvarado, Miguel Ángel; Ruíz-Pantaleón, José Crispín; Suárez-Serrato, Pablo 1 2021 Constraint algorithm for singular field theories in the \(k\)-cosymplectic framework. Zbl 1434.70047 Gràcia, Xavier; Rivas, Xavier; Román-Roy, Narciso 5 2020 Nonholonomic and constrained variational mechanics. Zbl 1476.70057 Lewis, Andrew D. 5 2020 Control of locomotion systems and dynamics in relative periodic orbits. Zbl 1459.37092 Fassò, Francesco; Passarella, Simone; Zoppello, Marta 4 2020 A summary on symmetries and conserved quantities of autonomous Hamiltonian systems. Zbl 1460.37052 Román-Roy, Narciso 4 2020 Relative equilibria of the 3-body problem in \(\mathbb{R}^4\). Zbl 1459.37082 Albouy, Alain; Dullin, Holger R. 3 2020 Angular momentum coupling, Dirac oscillators, and quantum band rearrangements in the presence of momentum reversal symmetries. 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Zbl 1437.35582 Li, Siran; Wu, Jiahong; Zhao, Kun 1 2020 The method of averaging for Poisson connections on foliations and its applications. Zbl 1456.53064 Avendaño-Camacho, Misael; Hasse-Armengol, Isaac; Velasco-Barreras, Eduardo; Vorobiev, Yury 1 2020 Symmetry reduction of the 3-body problem in \(\mathbb{R}^4\). Zbl 1477.37093 Dullin, Holger R.; Scheurle, Jürgen 1 2020 A family of multiply warped product semi-Riemannian Einstein metrics. Zbl 1482.53060 Pal, Buddhadev; Kumar, Pankaj 1 2020 Lagrangian reduction of nonholonomic discrete mechanical systems by stages. Zbl 1480.37074 Fernández, Javier; Tori, Cora; Zuccalli, Marcela 1 2020 Symmetry actuated closed-loop Hamiltonian systems. Zbl 1494.93041 Hochgerner, Simon 1 2020 Global well-posedness of a 3D MHD model in porous media. Zbl 1431.76155 Titi, Edriss S.; Trabelsi, Saber 14 2019 Self-organization on Riemannian manifolds. 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Zbl 1368.15010 Modin, Klas 17 2017 ...and 163 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,182 Authors 47 de León Rodríguez, Manuel 33 Bauer, Martin 28 Gay-Balmaz, François 25 Martín de Diego, David 25 Román-Roy, Narciso 23 Esen, Oğul 22 Colombo, Leonardo Jesus 17 Tronci, Cesare 16 Bruveris, Martins 16 Marrero Gonzalez, Juan Carlos 16 Rivas, Xavier 15 Ferrer, Sebastián 15 Holm, Darryl Dallas 15 Modin, Klas 14 Crespo, Francisco 14 Gaset, Jordi 14 Grabowski, Janusz 14 Michor, Peter Wolfram 14 Sardón, Cristina 13 Tsyganov, Andreĭ Vladimirovich 12 García-Naranjo, Luis C. 12 Ratiu, Tudor Stefan 11 de Lucas, Javier 11 Gràcia, Xavier 11 Laínz, Manuel 10 Celledoni, Elena 10 Mestdag, Tom 10 Suris, Yuri Borisovich 9 Balseiro, Paula 9 Bucataru, Joan 9 Grabowska, Katarzyna 9 Grillo, Sergio Daniel 9 Harms, Philipp 9 Ibort, Alberto 9 Koiller, Jair 9 Leok, Melvin 9 Marmo, Giuseppe 9 Muñoz-Lecanda, Miguel C. 9 Van Goethem, Nicolas 9 Vilariño, Silvia 9 Zuccalli, Marcela 8 Anahory Simoes, Alexandre 8 Bloch, Anthony Michael 8 Kolev, Boris 8 Kupferman, Raz 8 Liu, Hui 8 López-Gordón, Asier 8 Maor, Cy 8 Neff, Patrizio 8 Park, Hansol 8 Preston, Stephen C. 8 Reyes, Enrique G. 8 Zhou, Shouming 7 Borisov, Alekseĭ Vladimirovich 7 Escher, Joachim 7 García-Toraño Andrés, Eduardo 7 Ha, Seung-Yeal 7 Hohloch, Sonja 7 Jiménez, Víctor Manuel 7 Magnot, Jean-Pierre 7 Ohsawa, Tomoki 7 Petrera, Matteo 7 Poncin, Norbert 7 Sütlü, Serkan 7 Vialard, François-Xavier 7 Yoshimura, Hiroaki 6 Cariñena, José F. 6 Castrillón López, Marco 6 Charon, Nicolas 6 Ciaglia, Florio Maria 6 Cotter, Colin John 6 Di Cosmo, Fabio 6 Dragović, Vladimir 6 Fetecau, Razvan C. 6 Guha, Partha 6 Hochgerner, Simon 6 Jacobs, Henry O. 6 Jiménez, Fernando 6 Kryński, Wojciech 6 McLachlan, Robert I. 6 Owren, Brynjulf 6 Prieto-Martínez, Pedro Daniel 6 Sansonetto, Nicola 6 Vankerschaver, Joris 6 Vaquero, Miguel 6 Vermeeren, Mats 5 Arnaudon, Alexis 5 Barbero-Liñán, María 5 Benn, James 5 Bruce, Andrew James 5 Camarinha, Margarida 5 Capriotti, Santiago 5 Constantinescu, Oana 5 De Vecchi, Francesco Carlo 5 Dullin, Holger R. 5 Fernandez, Javier Alejandro 5 Ferraro, Sebastián J. 5 Grmela, Miroslav 5 Gümral, Hasan 5 Jotz Lean, Madeleine ...and 1,082 more Authors all top 5 Cited in 267 Journals 86 Journal of Geometric Mechanics 67 Journal of Geometry and Physics 53 Journal of Physics A: Mathematical and Theoretical 45 Journal of Mathematical Physics 39 International Journal of Geometric Methods in Modern Physics 38 Journal of Nonlinear Science 31 Regular and Chaotic Dynamics 22 Differential Geometry and its Applications 19 Archive for Rational Mechanics and Analysis 17 Nonlinearity 16 Reports on Mathematical Physics 14 Discrete and Continuous Dynamical Systems 13 Journal of Differential Equations 12 Communications in Mathematical Physics 12 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 11 Journal of Mathematical Imaging and Vision 11 Foundations of Computational Mathematics 10 Calculus of Variations and Partial Differential Equations 9 Annals of Global Analysis and Geometry 9 Physica D 9 Analysis and Mathematical Physics 9 Journal of Computational Dynamics 8 Letters in Mathematical Physics 8 The Journal of Geometric Analysis 8 Nonlinear Analysis. Real World Applications 8 SIAM Journal on Imaging Sciences 7 Journal of Mathematical Analysis and Applications 7 Nuclear Physics. B 7 Theoretical and Mathematical Physics 7 Monatshefte für Mathematik 7 SIAM Journal on Control and Optimization 7 Theoretical and Applied Mechanics 6 Classical and Quantum Gravity 6 Applied Mathematics Letters 6 Celestial Mechanics and Dynamical Astronomy 6 Journal of Nonlinear Mathematical Physics 6 Information Geometry 5 Physics Letters. 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Second Series 3 Journal of Algebra and its Applications 3 Analysis and Applications (Singapore) 3 Oberwolfach Reports 3 Communications in Mathematics 3 Applied Mathematics and Nonlinear Sciences 3 SIAM Journal on Applied Algebra and Geometry 3 Russian Journal of Nonlinear Dynamics 2 Applicable Analysis 2 Journal of Fluid Mechanics 2 Mathematics of Computation 2 Reviews in Mathematical Physics 2 Fortschritte der Physik 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Applied Mathematics and Optimization 2 Bulletin of the London Mathematical Society 2 Canadian Mathematical Bulletin 2 Mathematische Nachrichten 2 Proceedings of the American Mathematical Society 2 Results in Mathematics 2 Studies in Applied Mathematics 2 Systems & Control Letters 2 Computational Mechanics 2 Applied Mathematical Modelling 2 Journal of Elasticity 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences ...and 167 more Journals all top 5 Cited in 58 Fields 435 Mechanics of particles and systems (70-XX) 403 Differential geometry (53-XX) 338 Dynamical systems and ergodic theory (37-XX) 190 Partial differential equations (35-XX) 184 Global analysis, analysis on manifolds (58-XX) 117 Calculus of variations and optimal control; optimization (49-XX) 103 Fluid mechanics (76-XX) 96 Numerical analysis (65-XX) 77 Quantum theory (81-XX) 64 Ordinary differential equations (34-XX) 56 Nonassociative rings and algebras (17-XX) 56 Mechanics of deformable solids (74-XX) 47 Systems theory; control (93-XX) 46 Topological groups, Lie groups (22-XX) 36 Relativity and gravitational theory (83-XX) 33 Algebraic geometry (14-XX) 32 Probability theory and stochastic processes (60-XX) 31 Computer science (68-XX) 30 Statistics (62-XX) 21 Manifolds and cell complexes (57-XX) 21 Statistical mechanics, structure of matter (82-XX) 19 Difference and functional equations (39-XX) 17 Linear and multilinear algebra; matrix theory (15-XX) 17 Algebraic topology (55-XX) 17 Information and communication theory, circuits (94-XX) 16 Functional analysis (46-XX) 15 Several complex variables and analytic spaces (32-XX) 15 Operator theory (47-XX) 13 Associative rings and algebras (16-XX) 11 Commutative algebra (13-XX) 10 Biology and other natural sciences (92-XX) 9 Category theory; homological algebra (18-XX) 8 Measure and integration (28-XX) 8 Approximations and expansions (41-XX) 8 Geometry (51-XX) 8 Convex and discrete geometry (52-XX) 8 Geophysics (86-XX) 7 Combinatorics (05-XX) 7 Group theory and generalizations (20-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Real functions (26-XX) 5 Functions of a complex variable (30-XX) 5 Astronomy and astrophysics (85-XX) 4 General and overarching topics; collections (00-XX) 4 History and biography (01-XX) 4 Special functions (33-XX) 4 General topology (54-XX) 4 Optics, electromagnetic theory (78-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Operations research, mathematical programming (90-XX) 3 Potential theory (31-XX) 2 General algebraic systems (08-XX) 2 Number theory (11-XX) 2 Field theory and polynomials (12-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Abstract harmonic analysis (43-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Integral equations (45-XX) Citations by Year