ISSN:
 1941-4889

eISSN:
 1941-4897

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Volume 11, 2019

Volume 10, 2018

Volume 9, 2017

Volume 8, 2016

Volume 7, 2015

Volume 6, 2014

Volume 5, 2013

Volume 4, 2012

Volume 3, 2011

Volume 2, 2010

Volume 1, 2009

The Journal of Geometric Mechanics (JGM) aims to publish research articles devoted to geometric methods (in a broad sense) in mechanics and control theory, and intends to facilitate interaction between theory and applications. Advances in the following topics are welcomed by the journal:

1. Lagrangian and Hamiltonian mechanics
2. Symplectic and Poisson geometry and their applications to mechanics
3. Geometric and optimal control theory
4. Geometric and variational integration
5. Geometry of stochastic systems
6. Geometric methods in dynamical systems
7. Continuum mechanics
8. Classical field theory
9. Fluid mechanics
10. Infinite-dimensional dynamical systems
11. Quantum mechanics and quantum information theory
12. Applications in physics, technology, engineering and the biological sciences


Note: “Most Cited” is by Cross-Ref , and “Most Downloaded” is based on available data in the new website.

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In memory of Geneviève Raugel
Manuel de León, Andrew Lewis and Juan-Pablo Ortega
2020, 12(1) : ⅰ-ⅱ doi: 10.3934/jgm.2020001 +[Abstract](830) +[HTML](246) +[PDF](235.95KB)
Constraint algorithm for singular field theories in the k-cosymplectic framework
Xavier Gràcia, Xavier Rivas and Narciso Román-Roy
2020, 12(1) : 1-23 doi: 10.3934/jgm.2020002 +[Abstract](714) +[HTML](210) +[PDF](460.27KB)
Poisson brackets for the dynamically coupled system of a free boundary and a neutrally buoyant rigid body in a body-fixed frame
Banavara N. Shashikanth
2020, 12(1) : 25-52 doi: 10.3934/jgm.2020003 +[Abstract](949) +[HTML](208) +[PDF](989.99KB)
Rolling and no-slip bouncing in cylinders
Timothy Chumley, Scott Cook, Christopher Cox and Renato Feres
2020, 12(1) : 53-84 doi: 10.3934/jgm.2020004 +[Abstract](1043) +[HTML](186) +[PDF](1597.76KB)
De Donder form for second order gravity
Jędrzej Śniatycki and Oǧul Esen
2020, 12(1) : 85-106 doi: 10.3934/jgm.2020005 +[Abstract](664) +[HTML](198) +[PDF](571.97KB)
On the degenerate boussinesq equations on surfaces
Siran Li, Jiahong Wu and Kun Zhao
2020, 12(1) : 107-140 doi: 10.3934/jgm.2020006 +[Abstract](874) +[HTML](245) +[PDF](703.04KB)
Linear almost Poisson structures and Hamilton-Jacobi equation. Applications to nonholonomic mechanics
Manuel de León, Juan Carlos Marrero and David Martín de Diego
2010, 2(2) : 159-198 doi: 10.3934/jgm.2010.2.159 +[Abstract](3237) +[PDF](475.8KB) Cited By(30)
Nonholonomic Hamilton-Jacobi equation and integrability
Tomoki Ohsawa and Anthony M. Bloch
2009, 1(4) : 461-481 doi: 10.3934/jgm.2009.1.461 +[Abstract](2851) +[PDF](789.5KB) Cited By(17)
On Euler's equation and 'EPDiff'
David Mumford and Peter W. Michor
2013, 5(3) : 319-344 doi: 10.3934/jgm.2013.5.319 +[Abstract](3187) +[PDF](661.6KB) Cited By(16)
Semi-basic 1-forms and Helmholtz conditions for the inverse problem of the calculus of variations
Ioan Bucataru and Matias F. Dahl
2009, 1(2) : 159-180 doi: 10.3934/jgm.2009.1.159 +[Abstract](3229) +[PDF](318.8KB) Cited By(16)
Integrable Euler top and nonholonomic Chaplygin ball
Andrey Tsiganov
2011, 3(3) : 337-362 doi: 10.3934/jgm.2011.3.337 +[Abstract](2507) +[PDF](488.1KB) Cited By(15)
Right-invariant Sobolev metrics of fractional order on the diffeomorphism group of the circle
Joachim Escher and Boris Kolev
2014, 6(3) : 335-372 doi: 10.3934/jgm.2014.6.335 +[Abstract](2665) +[PDF](587.5KB) Cited By(15)
Three-dimensional discrete systems of Hirota-Kimura type and deformed Lie-Poisson algebras
Andrew N. W. Hone and Matteo Petrera
2009, 1(1) : 55-85 doi: 10.3934/jgm.2009.1.55 +[Abstract](2531) +[PDF](494.1KB) Cited By(14)
Clebsch optimal control formulation in mechanics
François Gay-Balmaz and Tudor S. Ratiu
2011, 3(1) : 41-79 doi: 10.3934/jgm.2011.3.41 +[Abstract](2604) +[PDF](597.2KB) Cited By(14)
$G$-Chaplygin systems with internal symmetries, truncation, and an (almost) symplectic view of Chaplygin's ball
Simon Hochgerner and Luis García-Naranjo
2009, 1(1) : 35-53 doi: 10.3934/jgm.2009.1.35 +[Abstract](2483) +[PDF](272.6KB) Cited By(13)
Geodesic Vlasov equations and their integrable moment closures
Darryl D. Holm and Cesare Tronci
2009, 1(2) : 181-208 doi: 10.3934/jgm.2009.1.181 +[Abstract](2848) +[PDF](360.8KB) Cited By(12)
Infinite dimensional integrals and partial differential equations for stochastic and quantum phenomena
Sergio Albeverio and Sonia Mazzucchi
2019, 11(2) : 123-137 doi: 10.3934/jgm.2019006 +[Abstract](2879) +[HTML](393) +[PDF](468.22KB) PDF Downloads(194)
Lagrange-d'alembert-poincaré equations by several stages
Hernán Cendra and Viviana A. Díaz
2018, 10(1) : 1-41 doi: 10.3934/jgm.2018001 +[Abstract](4826) +[HTML](456) +[PDF](622.49KB) PDF Downloads(151)
Classical field theory on Lie algebroids: Multisymplectic formalism
Eduardo Martínez
2018, 10(1) : 93-138 doi: 10.3934/jgm.2018004 +[Abstract](5588) +[HTML](536) +[PDF](708.21KB) PDF Downloads(143)
On the degenerate boussinesq equations on surfaces
Siran Li, Jiahong Wu and Kun Zhao
2020, 12(1) : 107-140 doi: 10.3934/jgm.2020006 +[Abstract](874) +[HTML](245) +[PDF](703.04KB) PDF Downloads(142)
Riemannian cubics and elastica in the manifold $ \operatorname{SPD}(n) $ of all $ n\times n $ symmetric positive-definite matrices
Erchuan Zhang and Lyle Noakes
2019, 11(2) : 277-299 doi: 10.3934/jgm.2019015 +[Abstract](2863) +[HTML](316) +[PDF](1374.62KB) PDF Downloads(137)
Second-order constrained variational problems on Lie algebroids: Applications to Optimal Control
Leonardo Colombo
2017, 9(1) : 1-45 doi: 10.3934/jgm.2017001 +[Abstract](2632) +[HTML](130) +[PDF](680.5KB) PDF Downloads(130)
Conservation laws in discrete geometry
Len G. Margolin and Roy S. Baty
2019, 11(2) : 187-203 doi: 10.3934/jgm.2019010 +[Abstract](3052) +[HTML](303) +[PDF](382.02KB) PDF Downloads(126)
Modified equations for variational integrators applied to Lagrangians linear in velocities
Mats Vermeeren
2019, 11(1) : 1-22 doi: 10.3934/jgm.2019001 +[Abstract](2834) +[HTML](399) +[PDF](1329.23KB) PDF Downloads(121)
Geometry of Routh reduction
Katarzyna Grabowska and Paweƚ Urbański
2019, 11(1) : 23-44 doi: 10.3934/jgm.2019002 +[Abstract](3023) +[HTML](410) +[PDF](504.76KB) PDF Downloads(118)
A note on time-optimal paths on perturbed spheroid
Piotr Kopacz
2018, 10(2) : 139-172 doi: 10.3934/jgm.2018005 +[Abstract](3542) +[HTML](324) +[PDF](3595.86KB) PDF Downloads(117)

2018  Impact Factor: 0.525

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