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: No longer indexed Documents Indexed: 317 Publications (2009–2022) References Indexed: 201 Publications with 6,382 References. all top 5 Latest Issues 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, 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 Castrillón López, Marco 6 Ferrer, Sebastián 6 Gay-Balmaz, François 6 Holm, Darryl Dallas 6 Ohsawa, Tomoki 6 Ortega, Juan-Pablo 5 Bloch, Anthony Michael 5 Fassò, Francesco 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 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 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 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 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 Lean, 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 320 more Authors all top 5 Fields 152 Differential geometry (53-XX) 152 Mechanics of particles and systems (70-XX) 125 Dynamical systems and ergodic theory (37-XX) 62 Global analysis, analysis on manifolds (58-XX) 37 Partial differential equations (35-XX) 34 Calculus of variations and optimal control; optimization (49-XX) 29 Ordinary differential equations (34-XX) 25 Topological groups, Lie groups (22-XX) 21 Fluid mechanics (76-XX) 20 Numerical analysis (65-XX) 20 Systems theory; control (93-XX) 15 Nonassociative rings and algebras (17-XX) 12 General and overarching topics; collections (00-XX) 12 Mechanics of deformable solids (74-XX) 10 Quantum theory (81-XX) 9 History and biography (01-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) 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 Approximations and expansions (41-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 216 Publications have been cited 1,134 times in 828 Documents Cited by ▼ Year ▼ Linear almost Poisson structures and Hamilton-Jacobi equation. Applications to nonholonomic mechanics. Zbl 1226.37045de León, Manuel; Marrero, Juan Carlos; Martín de Diego, David 45 2010 Sobolev metrics on shape space of surfaces. Zbl 1262.58004Bauer, Martin; Harms, Philipp; Michor, Peter W. 44 2011 Right-invariant Sobolev metrics of fractional order on the diffeomorphism group of the circle. Zbl 1308.58005Escher, Joachim; Kolev, Boris 32 2014 Clebsch optimal control formulation in mechanics. Zbl 1233.49005Gay-Balmaz, François; Ratiu, Tudor S. 20 2011 On Euler’s equation and ‘EPDiff’. Zbl 1274.35277Mumford, David; Michor, Peter W. 20 2013 Variational formulation of commuting Hamiltonian flows: multi-time Lagrangian 1-forms. Zbl 1330.37057Suris, Yuri B. 19 2013 Sobolev metrics on shape space. II: Weighted Sobolev metrics and almost local metrics. Zbl 1281.58003Bauer, Martin; Harms, Philipp; Michor, Peter W. 19 2012 Integrable Euler top and nonholonomic Chaplygin ball. Zbl 1348.70014Tsiganov, Andrey 18 2011 The supergeometry of Loday algebroids. Zbl 1294.53072Grabowski, Janusz; Khudaverdyan, David; Poncin, Norbert 18 2013 Geodesic Vlasov equations and their integrable moment closures. Zbl 1190.82033Holm, Darryl D.; Tronci, Cesare 17 2009 \(G\)-Chaplygin systemswith internal symmetries, truncation, and an (almost) symplecticview of Chaplygin’s ball. Zbl 1168.53327Hochgerner, Simon; García-Naranjo, Luis 17 2009 The geometry and dynamics of interacting rigid bodies and point vortices. Zbl 1191.53055Vankerschaver, Joris; Kanso, Eva; Marsden, Jerrold E. 16 2009 Nonholonomic Hamilton-Jacobi equation and integrability. Zbl 1288.70009Ohsawa, Tomoki; Bloch, Anthony M. 16 2009 Point vortices on the sphere: stability of symmetric relative equilibria. Zbl 1248.70020Laurent-Polz, Frederic; Montaldi, James; Roberts, Mark 16 2011 Higher-order variational problems on Lie groups and optimal control applications. Zbl 1307.70018Colombo, Leonardo; Martín de Diego, David 15 2014 Three-dimensional discrete systems of Hirota-Kimura type and deformed Lie-Poisson algebras. Zbl 1168.37318Hone, Andrew N. W.; Petrera, Matteo 15 2009 Geometry of matrix decompositions seen through optimal transport and information geometry. Zbl 1368.15010Modin, Klas 14 2017 Shape analysis on Lie groups with applications in computer animation. Zbl 1366.65018Celledoni, Elena; Eslitzbichler, Markus; Schmeding, Alexander 12 2016 Completeness properties of Sobolev metrics on the space of curves. Zbl 1328.58007Bruveris, Martins 12 2015 On the \(k\)-symplectic, \(k\)-cosymplectic and multisymplectic formalisms of classical field theories. Zbl 1242.70053Román-Roy, Narciso; Rey, Ángel M.; Salgado, Modesto; Vilariño, Silvia 11 2011 A property of conformally Hamiltonian vector fields; application to the Kepler problem. Zbl 1417.37187Marle, Charles-Michel 11 2012 Semi-basic 1-forms and Helmholtz conditions for the inverse problem of the calculus of variations. Zbl 1189.58006Bucataru, Ioan; Dahl, Matias F. 11 2009 Self-organization on Riemannian manifolds. Zbl 1431.35218Fetecau, Razvan C.; Zhang, Beril 11 2019 Tulczyjew triples in higher derivative field theory. Zbl 1367.70062Grabowska, Katarzyna; Vitagliano, Luca 11 2015 A new multisymplectic unified formalism for second order classical field theories. Zbl 1372.70057Prieto-Martínez, Pedro Daniel; Román-Roy, Narciso 11 2015 A Hamilton-Jacobi theory on Poisson manifolds. Zbl 1304.70019de León, Manuel; Martín de Diego, David; Vaquero, Miguel 11 2014 The Hess-Appelrot system. I. Invariant torus and its normal hyperbolicity. Zbl 1264.05074Lubowiecki, Paweł; Żołądek, Henryk 11 2012 Computing distances and geodesics between manifold-valued curves in the SRV framework. Zbl 1366.58005Le Brigant, Alice 10 2017 The non-Riemannian dislocated crystal: a tribute to Ekkehart Kröner (1919–2000). Zbl 1281.74029Van Goethem, Nicolas 10 2010 Linear weakly Noetherian constants of motion are horizontal gauge momenta. Zbl 1251.37054Fassò, Francesco; Giacobbe, Andrea; Sansonetto, Nicola 10 2012 A family of compact semitoric systems with two focus-focus singularities. Zbl 1428.37053Hohloch, Sonja; Palmer, Joseph 10 2018 Two-component higher order Camassa-Holm systems with fractional inertia operator: a geometric approach. Zbl 1321.35197Escher, Joachim; Lyons, Tony 10 2015 Sub-Riemannian and sub-Lorentzian geometry on SU(1,1) and on its universal cover. Zbl 1231.53031Grong, Erlend; Vasil’ev, Alexander 9 2011 Variational principles for spin systems and the Kirchhoff rod. Zbl 1288.70012Gay-Balmaz, François; Holm, Darryl D.; Ratiu, Tudor S. 9 2009 The emergence of torsion in the continuum limit of distributed edge-dislocations. Zbl 1359.53074Kupferman, Raz; Maor, Cy 9 2015 Geometric dynamics on the automorphism group of principal bundles: geodesic flows, dual pairs and chromomorphism groups. Zbl 1349.37077Gay-Balmaz, François; Tronci, Cesare; Vizman, Cornelia 9 2013 Local well-posedness of the EPDiff equation: a survey. Zbl 1362.58003Kolev, Boris 8 2017 Euler equations on a semi-direct product of the diffeomorphisms group by itself. Zbl 1277.37101Escher, Joachim; Ivanov, Rossen; Kolev, Boris 8 2011 On the number of weakly Noetherian constants of motion of nonholonomic systems. Zbl 1192.37077Fassò, Francesco; Giacobbe, Andrea; Sansonetto, Nicola 8 2009 Second-order constrained variational problems on Lie algebroids: applications to optimal control. Zbl 1410.70020Colombo, Leonardo 8 2017 Models for higher algebroids. Zbl 1330.58015Jóźwikowski, Michał; Rotkiewicz, Mikołaj 8 2015 Higher-order variational calculus on Lie algebroids. Zbl 1353.70048Martínez, Eduardo 8 2015 Kinematic reduction and the Hamilton-Jacobi equation. Zbl 1375.70061Barbero-Liñán, María; de León, Manuel; Martín de Diego, David; Marrero, Juan C.; Muñoz-Lecanda, Miguel C. 8 2012 Parametric quartic Hamiltonian model. A unified treatment of classic integrable systems. Zbl 1338.37074Ferrer, Sebastián; Crespo, Francisco 8 2014 Dirac cotangent bundle reduction. Zbl 1168.70314Yoshimura, Hiroaki; Marsden, Jerrold E. 8 2009 Global well-posedness of a 3D MHD model in porous media. Zbl 1431.76155Titi, Edriss S.; Trabelsi, Saber 7 2019 Families of canonical transformations by Hamilton-Jacobi-Poincaré equation. Application to rotational and orbital motion. Zbl 1281.70028Ferrer, Sebastián; Lara, Martin 7 2010 Minimal geodesics on \(\mathrm{GL}(n)\) for left-invariant, right-\(\mathrm O(n)\)-invariant Riemannian metrics. Zbl 1366.53028Neff, Patrizio; Martin, Robert J. 7 2016 Covariant Hamiltonian field theories on manifolds with boundary: Yang-Mills theories. Zbl 1410.70029Ibort, Alberto; Spivak, Amelia 7 2017 Geometry of plasma dynamics. II: Lie algebra of Hamiltonian vector fields. Zbl 1375.76222Esen, Oğul; Gümral, Hasan 7 2012 Vector fields with distributions and invariants of ODEs. Zbl 1271.34041Jakubczyk, Bronisław; Kryński, Wojciech 7 2013 Invariant nonholonomic Riemannian structures on three-dimensional Lie groups. Zbl 1390.70040Barrett, Dennis I.; Biggs, Rory; Remsing, Claudiu C.; Rossi, Olga 6 2016 Hamiltonian mechanical systems on Lie algebroids, unimodularity and preservation of volumes. Zbl 1282.53071Marrero, Juan Carlos 6 2010 When is a control system mechanical? Zbl 1206.93029Ricardo, Sandra; Respondek, Witold 6 2010 Superposition rules and second-order Riccati equations. Zbl 1225.34015Cariñena, José F.; de Lucas Araujo, Javier 6 2011 Variational integrators for hamiltonizable nonholonomic systems. Zbl 1262.65193Fernandez, Oscar E.; Bloch, Anthony M.; Olver, P. J. 6 2012 Alternative angle-based approach to the \(\mathcal{KS}\)-map. An interpretation through symmetry and reduction. Zbl 1411.70020Ferrer, Sebastián; Crespo, Francisco 6 2018 The stochastic Hamilton-Jacobi equation. Zbl 1278.60104Lázaro-Camí, Joan-Andreu; Ortega, Juan-Pablo 6 2009 Lie groupoids and algebroids applied to the study of uniformity and homogeneity of material bodies. Zbl 1431.74010Morales, Víctor Manuel Jiménez; De León, Manuel; Epstein, Marcelo 6 2019 The Kadomtsev-Petviashvili hierarchy and the Mulase factorization of formal Lie groups. Zbl 1330.37061Eslami Rad, Anahita; Reyes, Enrique G. 6 2013 A geometric approach to discrete connections on principal bundles. Zbl 1285.53009Fernández, Javier; Zuccalli, Marcela 6 2013 The leaf space of a multiplicative foliation. Zbl 1266.58006Jotz, M. 6 2012 Bundle-theoretic methods for higher-order variational calculus. Zbl 1308.58002Jóźwikowski, Michał; Rotkiewicz, Mikołaj 6 2014 Computing metamorphoses between discrete measures. Zbl 1319.49069Richardson, Casey L.; Younes, Laurent 6 2013 Quotient elastic metrics on the manifold of arc-length parameterized plane curves. Zbl 1365.53002Tumpach, Alice B.; Preston, Stephen C. 5 2017 Euler-Lagrangian approach to 3D stochastic Euler equations. Zbl 1435.35290Flandoli, Franco; Luo, Dejun 5 2019 Riemann-Hilbert problem, integrability and reductions. Zbl 1431.35053Gerdjikov, Vladimir S.; Ivanov, Rossen I.; Stefanov, Aleksander A. 5 2019 Momentum maps for mixed states in quantum and classical mechanics. Zbl 1448.81070Tronci, Cesare 5 2019 A weak approach to the stochastic deformation of classical mechanics. Zbl 1375.37175Lassalle, Rémi; Zambrini, Jean Claude 5 2016 Classical field theories of first order and Lagrangian submanifolds of premultisymplectic manifolds. Zbl 1387.70028Campos, Cédric M.; Guzmán, Elisa; Marrero, Juan Carlos 5 2012 Un-reduction. Zbl 1268.37081Bruveris, Martins; Ellis, David C. P.; Holm, Darryl D.; Gay-Balmaz, François 5 2011 A note on time-optimal paths on perturbed spheroid. Zbl 1405.53061Kopacz, Piotr 5 2018 Vortex pairs on a triaxial ellipsoid and Kimura’s conjecture. Zbl 1405.76008Rodrigues, Adriano Regis; Castilho, César; Koiller, Jair 5 2018 The Hamilton-Jacobi theory and the analogy between classical and quantum mechanics. Zbl 1278.70014Marmo, Giuseppe; Morandi, Giuseppe; Mukunda, Narasimhaiengar 5 2009 Geodesic boundary value problems with symmetry. Zbl 1375.49032Cotter, Colin J.; Holm, Darryl D. 5 2010 Lagrangian reduction of nonholonomic discrete mechanical systems. Zbl 1196.37093Fernández, Javier; Tori, Cora; Zuccalli, Marcela 5 2010 Higher-order mechanics: variational principles and other topics. Zbl 1284.35014Prieto-Martínez, Pedro D.; Román-Roy, Narciso 5 2013 The Toda lattice, old and new. Zbl 1319.37046Tomei, Carlos 5 2013 Tensor products of Dirac structures and interconnection in Lagrangian mechanics. Zbl 1304.70016Jacobs, Henry O.; Yoshimura, Hiroaki 5 2014 Discriminantly separable polynomials and quad-equations. Zbl 1309.37067Dragović, Vladimir; Kukić, Katarina 5 2014 Geometry of Lagrangian and Hamiltonian formalisms in the dynamics of strings. Zbl 1304.70029Grabowski, Janusz; Grabowska, Katarzyna; Urbański, Paweł 5 2014 Nonlinear constraints in nonholonomic mechanics. Zbl 1304.70015Popescu, Paul; Ida, Cristian 5 2014 Dirac structures and Hamilton-Jacobi theory for Lagrangian mechanics on Lie algebroids. Zbl 1277.70018Leok, Melvin; Sosa, Diana 5 2012 The Madelung transform as a momentum map. Zbl 1440.53095Fusca, Daniel 4 2017 Poisson and integrable systems through the Nambu bracket and its Jacobi multiplier. Zbl 1359.37124Crespo, Francisco; Molero, Francisco Javier; Ferrer, Sebastián 4 2016 Information-theoretic inequalities on unimodular Lie groups. Zbl 1215.22004Chirikjian, Gregory S. 4 2010 Lagrangian and Hamiltonian formalism in field theory: a simple model. Zbl 1222.70025Grabowska, Katarzyna 4 2010 Embedded geodesic problems and optimal control for matrix Lie groups. Zbl 1230.49014Bloch, Anthony M.; Crouch, Peter E.; Nordkvist, Nikolaj; Sanyal, Amit K. 4 2011 Variational reduction of Lagrangian systems with general constraints. Zbl 1257.37033Grillo, Sergio; Zuccalli, Marcela 4 2012 Generalized submersiveness of second-order ordinary differential equations. Zbl 1191.37033Sarlet, W.; Prince, G. E.; Crampin, M. 4 2009 A note on the Wehrheim-Woodward category. Zbl 1257.53111Weinstein, Alan 4 2011 Nonholonomic and constrained variational mechanics. Zbl 1476.70057Lewis, Andrew D. 4 2020 New multisymplectic approach to the metric-affine (Einstein-Palatini) action for gravity. Zbl 1433.83005Gaset, Jordi; Román-Roy, Narciso 4 2019 Multi-symplectic method to simulate soliton resonance of \({(2+1)}\)-dimensional Boussinesq equation. Zbl 1277.35111Hu, Weipeng; Deng, Zichen; Qin, Yuyue 4 2013 Finiteness of relative equilibria in the planar generalized \(N\)-body problem with fixed subconfigurations. Zbl 1367.70027Hampton, Marshall; Jensen, Anders Nedergaard 4 2015 On the extended Euler system and the Jacobi and Weierstrass elliptic functions. Zbl 1326.33027Crespo, Francisco; Ferrer, Sebastián 4 2015 On the relation between geometrical quantum mechanics and information geometry. Zbl 1328.53044Molitor, Mathieu 4 2015 Hybrid models for perfect complex fluids with multipolar interactions. Zbl 1295.76005Tronci, Cesare 4 2012 Andoyer’s variables and phases in the free rigid body. Zbl 1304.70008Ferrer, Sebastián; Molero, Francisco J. 4 2014 Poisson structures for two nonholonomic systems with partially reduced symmetries. Zbl 1305.70014Tsiganov, Andrey 4 2014 Necessary conditions for feedback stabilization and safety. Zbl 1505.93187Kvalheim, Matthew D.; Koditschek, Daniel E. 2 2022 Backward error analysis for variational discretisations of PDEs. Zbl 1495.65159McLachlan, Robert I.; Offen, Christian 1 2022 Matched pair analysis of the Vlasov plasma. Zbl 1489.37085Esen, Oǧul; Sütlü, Serkan 3 2021 Contact Hamiltonian and Lagrangian systems with nonholonomic constraints. Zbl 1496.37071de León, Manuel; Jiménez, Víctor M.; Lainz, Manuel 3 2021 A Lagrangian approach to extremal curves on Stiefel manifolds. Zbl 1477.58006Hüper, Knut; Markina, Irina; Silva Leite, Fátima 3 2021 Local convexity for second order differential equations on a Lie algebroid. Zbl 1477.34028Marrero, Juan Carlos; de Diego, David Martín; Martínez, Eduardo 3 2021 On twistor almost complex structures. Zbl 1489.53036Cahen, Michel; Gutt, Simone; Rawnsley, John 2 2021 Error analysis of forced discrete mechanical systems. Zbl 1491.37071Fernández, Javier; Zurita, Sebastián Elías Graiff; Grillo, Sergio 2 2021 Geometric optimal techniques to control the muscular force response to functional electrical stimulation using a non-isometric force-fatigue model. Zbl 1477.49028Bonnard, Bernard; Rouot, Jérémy 1 2021 On nomalized differentials on spectral curves associated with the sinh-Gordon equation. Zbl 07433997Kappeler, Thomas; Widmer, Yannick 1 2021 A unifying approach for rolling symmetric spaces. Zbl 1498.70023Krakowski, Krzysztof A.; Machado, Luís; Silva Leite, Fátima 1 2021 Symplectic \(\mathbb{Z}_2^n\)-manifolds. Zbl 1492.53092Bruce, Andrew James; Grabowski, Janusz 1 2021 Schwinger’s picture of quantum mechanics: 2-groupoids and symmetries. Zbl 1484.81053Ciaglia, Florio M.; Cosmo, Fabio Di; Ibort, Alberto; Marmo, Giuseppe; Schiavone, Luca 1 2021 On the history of Lie brackets, crossed modules, and Lie-Rinehart algebras. Zbl 07453484Huebschmann, Johannes 1 2021 From Schouten to Mackenzie: notes on brackets. Zbl 1483.17001Kosmann-Schwarzbach, Yvette 1 2021 Nonholonomic and constrained variational mechanics. Zbl 1476.70057Lewis, Andrew D. 4 2020 Constraint algorithm for singular field theories in the \(k\)-cosymplectic framework. Zbl 1434.70047Gràcia, Xavier; Rivas, Xavier; Román-Roy, Narciso 3 2020 Control of locomotion systems and dynamics in relative periodic orbits. Zbl 1459.37092Fassò, Francesco; Passarella, Simone; Zoppello, Marta 3 2020 Getting into the vortex: on the contributions of James Montaldi. Zbl 1452.76004Koiller, Jair 2 2020 Rolling and no-slip bouncing in cylinders. Zbl 1441.37070Chumley, Timothy; Cook, Scott; Cox, Christopher; Feres, Renato 1 2020 On the degenerate Boussinesq equations on surfaces. Zbl 1437.35582Li, Siran; Wu, Jiahong; Zhao, Kun 1 2020 Relative equilibria of the 3-body problem in \(\mathbb{R}^4\). Zbl 1459.37082Albouy, Alain; Dullin, Holger R. 1 2020 A summary on symmetries and conserved quantities of autonomous Hamiltonian systems. Zbl 1460.37052Román-Roy, Narciso 1 2020 Hamilton-Jacobi theory for Hamiltonian and non-Hamiltonian systems. Zbl 1482.70020Rashkovskiy, Sergey 1 2020 Self-organization on Riemannian manifolds. Zbl 1431.35218Fetecau, Razvan C.; Zhang, Beril 11 2019 Global well-posedness of a 3D MHD model in porous media. Zbl 1431.76155Titi, Edriss S.; Trabelsi, Saber 7 2019 Lie groupoids and algebroids applied to the study of uniformity and homogeneity of material bodies. Zbl 1431.74010Morales, Víctor Manuel Jiménez; De León, Manuel; Epstein, Marcelo 6 2019 Euler-Lagrangian approach to 3D stochastic Euler equations. Zbl 1435.35290Flandoli, Franco; Luo, Dejun 5 2019 Riemann-Hilbert problem, integrability and reductions. Zbl 1431.35053Gerdjikov, Vladimir S.; Ivanov, Rossen I.; Stefanov, Aleksander A. 5 2019 Momentum maps for mixed states in quantum and classical mechanics. Zbl 1448.81070Tronci, Cesare 5 2019 New multisymplectic approach to the metric-affine (Einstein-Palatini) action for gravity. Zbl 1433.83005Gaset, Jordi; Román-Roy, Narciso 4 2019 Dispersive Lamb systems. Zbl 1435.35223Olver, Peter J.; Sheils, Natalie E. 3 2019 Riemannian cubics and elastica in the manifold \(\operatorname{SPD}(n)\) of all \(n\times n\) symmetric positive-definite matrices. Zbl 1455.53079Zhang, Erchuan; Noakes, Lyle 3 2019 Variational integrators for anelastic and pseudo-incompressible flows. Zbl 1431.76103Bauer, Werner; Gay-Balmaz, François 3 2019 Relative periodic solutions of the \(n\)-vortex problem on the sphere. Zbl 1433.37054García-Azpeitia, Carlos 3 2019 Morse families and Dirac systems. Zbl 1439.37060Barbero Liñán, María; Cendra, Hernán; Toraño, Eduardo García; Martín de Diego, David 2 2019 Remarks on certain two-component systems with peakon solutions. Zbl 1435.35329Hay, Mike; Hone, Andrew N. W.; Novikov, Vladimir S.; Wang, Jing Ping 2 2019 Generalized point vortex dynamics on \(\mathbb{CP}^2\). Zbl 1434.37038Montaldi, James; Shaddad, Amna 2 2019 Geometry of Routh reduction. Zbl 1448.70050Grabowska, Katarzyna; Urbański, Pawel 2 2019 A geometric perspective on the Piola identity in Riemannian settings. Zbl 1426.53087Kupferman, Raz; Shachar, Asaf 2 2019 A symmetry-adapted numerical scheme for SDEs. Zbl 07168110De Vecchi, Francesco C.; Romano, Andrea; Ugolini, Stefania 2 2019 Conservation laws in discrete geometry. Zbl 1447.76025Margolin, Len G.; Baty, Roy S. 1 2019 Embedding Camassa-Holm equations in incompressible Euler. Zbl 1435.35307Natale, Andrea; Vialard, François-Xavier 1 2019 Non-abelian momentum polytopes for products of \(\mathbb{CP}^2\). Zbl 1434.53091Montaldi, James; Shaddad, Amna 1 2019 A comparison of vakonomic and nonholonomic dynamics with applications to non-invariant Chaplygin systems. Zbl 1426.49050Jóźwikowski, Michał; Respondek, Witold 1 2019 Improving E. Cartan considerations on the invariance of nonholonomic mechanics. Zbl 1507.70023Oliva, Waldyr M.; Terra, Gláucio 1 2019 A family of compact semitoric systems with two focus-focus singularities. Zbl 1428.37053Hohloch, Sonja; Palmer, Joseph 10 2018 Alternative angle-based approach to the \(\mathcal{KS}\)-map. An interpretation through symmetry and reduction. Zbl 1411.70020Ferrer, Sebastián; Crespo, Francisco 6 2018 A note on time-optimal paths on perturbed spheroid. Zbl 1405.53061Kopacz, Piotr 5 2018 Vortex pairs on a triaxial ellipsoid and Kimura’s conjecture. Zbl 1405.76008Rodrigues, Adriano Regis; Castilho, César; Koiller, Jair 5 2018 On the geometry of the Schmidt-Legendre transformation. Zbl 1411.70029Esen, Oğul; Guha, Partha 2 2018 A coordinate-free theory of virtual holonomic constraints. Zbl 1428.53022Consolini, Luca; Costalunga, Alessandro; Maggiore, Manfredi 2 2018 Lagrange-d’Alembert-Poincaré equations by several stages. Zbl 1407.37087Cendra, Hernán; Díaz, Viviana A. 2 2018 Classical field theory on Lie algebroids: multisymplectic formalism. Zbl 1406.58003Martínez, Eduardo 2 2018 Bohr-Sommerfeld-Heisenberg quantization of the mathematical pendulum. Zbl 1412.81155Cushman, Richard; Śniatycki, Jędrzej 1 2018 Symmetries of line bundles and Noether theorem for time-dependent nonholonomic systems. Zbl 1407.37088Jovanović, Božidar 1 2018 Geometry of matrix decompositions seen through optimal transport and information geometry. Zbl 1368.15010Modin, Klas 14 2017 Computing distances and geodesics between manifold-valued curves in the SRV framework. Zbl 1366.58005Le Brigant, Alice 10 2017 Local well-posedness of the EPDiff equation: a survey. Zbl 1362.58003Kolev, Boris 8 2017 Second-order constrained variational problems on Lie algebroids: applications to optimal control. Zbl 1410.70020Colombo, Leonardo 8 2017 Covariant Hamiltonian field theories on manifolds with boundary: Yang-Mills theories. Zbl 1410.70029Ibort, Alberto; Spivak, Amelia 7 2017 Quotient elastic metrics on the manifold of arc-length parameterized plane curves. Zbl 1365.53002Tumpach, Alice B.; Preston, Stephen C. 5 2017 The Madelung transform as a momentum map. Zbl 1440.53095Fusca, Daniel 4 2017 About simple variational splines from the Hamiltonian viewpoint. Zbl 1368.65092Balseiro, Paula; Stuchi, Teresinha J.; Cabrera, Alejandro; Koiller, Jair 3 2017 On the relationship between the energy shaping and the Lyapunov constraint based methods. Zbl 1373.93248Grillo, Sergio; Salomone, Leandro; Zuccalli, Marcela 2 2017 Modelling anisotropic covariance using stochastic development and sub-Riemannian frame bundle geometry. 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Zbl 1326.33027Crespo, Francisco; Ferrer, Sebastián 4 2015 ...and 116 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 909 Authors 31 de León Rodríguez, Manuel 29 Bauer, Martin 21 Gay-Balmaz, François 21 Martín de Diego, David 17 Román-Roy, Narciso 16 Bruveris, Martins 16 Esen, Oğul 16 Ferrer, Sebastián 14 Colombo, Leonardo Jesus 14 Crespo, Francisco 14 Holm, Darryl Dallas 13 Modin, Klas 13 Tsyganov, Andreĭ Vladimirovich 12 Michor, Peter Wolfram 12 Tronci, Cesare 11 García-Naranjo, Luis C. 11 Grabowski, Janusz 11 Marrero, Juan Carlos 11 Ratiu, Tudor Stefan 10 Suris, Yuri Borisovich 9 Grillo, Sergio Daniel 9 Sardón, Cristina 9 Van Goethem, Nicolas 8 Balseiro, Paula 8 Bucataru, Ioan 8 Grabowska, Katarzyna 8 Harms, Philipp 8 Koiller, Jair 8 Kolev, Boris 8 Kupferman, Raz 8 Mestdag, Tom 8 Neff, Patrizio 7 Borisov, Alekseĭ Vladimirovich 7 Escher, Joachim 7 Ha, Seung-Yeal 7 Leok, Melvin 7 Park, Hansol 7 Petrera, Matteo 7 Vialard, François-Xavier 7 Zuccalli, Marcela 6 Bloch, Anthony Michael 6 Cariñena, José F. 6 Celledoni, Elena 6 Gaset, Jordi 6 Jacobs, Henry O. 6 Jiménez, Fernando 6 Jiménez, Víctor Manuel 6 Maor, Cy 6 Muñoz-Lecanda, Miguel C. 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 Anahory Simoes, Alexandre 5 Benn, James 5 Bruce, Andrew James 5 Charon, Nicolas 5 Cotter, Colin John 5 de Lucas, Javier 5 Dragović, Vladimir 5 Ferraro, Sebastián J. 5 Gràcia, Xavier 5 Grmela, Miroslav 5 Guha, Partha 5 Hochgerner, Simon 5 Hohloch, Sonja 5 Klassen, Eric Paul 5 Kryński, Wojciech 5 Lara, Martín 5 Liu, Hui 5 Mamaev, Ivan Sergeevich 5 Martin, Robert J. 5 McLachlan, Robert I. 5 Pavelka, Michal 5 Poncin, Norbert 5 Reyes, Enrique G. 5 Rivas, Xavier 5 Salomone, Leandro M. 4 Arnaudon, Alexis 4 Barbero-Liñán, María 4 Calderón Martín, Antonio Jesús 4 Camarinha, Margarida 4 Cendra, Hernán 4 Cismas, Emanuel-Ciprian 4 Constantinescu, Oana 4 Cruzeiro, Ana-Bela 4 Durán Fernandez, Carlos Eduardo 4 Epstein, Marcelo 4 Fassò, Francesco 4 Fernandez, Javier Alejandro 4 Fetecau, Razvan C. 4 García-Toraño Andrés, Eduardo 4 Ibort, Alberto 4 Jotz Lean, Madeleine 4 Laínz, Manuel 4 Li, Wuchen ...and 809 more Authors all top 5 Cited in 210 Journals 77 Journal of Geometric Mechanics 52 Journal of Geometry and Physics 40 Journal of Mathematical Physics 35 Journal of Nonlinear Science 28 Regular and Chaotic Dynamics 26 International Journal of Geometric Methods in Modern Physics 21 Differential Geometry and its Applications 18 Archive for Rational Mechanics and Analysis 14 Reports on Mathematical Physics 14 Discrete and Continuous Dynamical Systems 13 Journal of Physics A: Mathematical and Theoretical 11 Communications in Mathematical Physics 11 Journal of Differential Equations 10 Journal of Mathematical Imaging and Vision 10 Calculus of Variations and Partial Differential Equations 10 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 9 Foundations of Computational Mathematics 8 Nonlinearity 8 Annals of Global Analysis and Geometry 8 SIAM Journal on Imaging Sciences 7 Journal of Mathematical Analysis and Applications 7 Nuclear Physics. B 7 Theoretical and Mathematical Physics 7 SIAM Journal on Control and Optimization 7 Physica D 7 Nonlinear Analysis. Real World Applications 6 Monatshefte für Mathematik 6 Celestial Mechanics and Dynamical Astronomy 6 Analysis and Mathematical Physics 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 Journal of Computational Dynamics 5 Information Geometry 4 Letters in Mathematical Physics 4 Physics Letters. A 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Indagationes Mathematicae. 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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 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 Oberwolfach Reports 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 ...and 110 more Journals all top 5 Cited in 58 Fields 313 Mechanics of particles and systems (70-XX) 294 Differential geometry (53-XX) 255 Dynamical systems and ergodic theory (37-XX) 147 Partial differential equations (35-XX) 145 Global analysis, analysis on manifolds (58-XX) 93 Calculus of variations and optimal control; optimization (49-XX) 79 Fluid mechanics (76-XX) 76 Numerical analysis (65-XX) 51 Ordinary differential equations (34-XX) 51 Quantum theory (81-XX) 49 Mechanics of deformable solids (74-XX) 42 Nonassociative rings and algebras (17-XX) 38 Topological groups, Lie groups (22-XX) 36 Systems theory; control (93-XX) 24 Relativity and gravitational theory (83-XX) 23 Algebraic geometry (14-XX) 23 Probability theory and stochastic processes (60-XX) 23 Computer science (68-XX) 21 Statistical mechanics, structure of matter (82-XX) 19 Statistics (62-XX) 16 Difference and functional equations (39-XX) 15 Algebraic topology (55-XX) 15 Manifolds and cell complexes (57-XX) 15 Information and communication theory, circuits (94-XX) 14 Operator theory (47-XX) 13 Several complex variables and analytic spaces (32-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 12 Functional analysis (46-XX) 8 Commutative algebra (13-XX) 8 Associative rings and algebras (16-XX) 8 Biology and other natural sciences (92-XX) 6 Group theory and generalizations (20-XX) 6 Geometry (51-XX) 5 Category theory; homological algebra (18-XX) 5 Approximations and expansions (41-XX) 4 History and biography (01-XX) 4 Combinatorics (05-XX) 4 Measure and integration (28-XX) 4 Functions of a complex variable (30-XX) 4 Special functions (33-XX) 4 Convex and discrete geometry (52-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Geophysics (86-XX) 3 Real functions (26-XX) 3 Potential theory (31-XX) 3 Astronomy and astrophysics (85-XX) 3 Operations research, mathematical programming (90-XX) 2 General and overarching topics; collections (00-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 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) Citations by Year