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Volume 11, 2019

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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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Lie groupoids and algebroids applied to the study of uniformity and homogeneity of material bodies
Víctor Manuel Jiménez Morales, Manuel De León and Marcelo Epstein
2019, 11(3) : 301-324 doi: 10.3934/jgm.2019017 +[Abstract](246) +[HTML](121) +[PDF](462.58KB)
A symmetry-adapted numerical scheme for SDEs
Francesco C. De Vecchi, Andrea Romano and Stefania Ugolini
2019, 11(3) : 325-359 doi: 10.3934/jgm.2019018 +[Abstract](216) +[HTML](106) +[PDF](1008.07KB)
New multisymplectic approach to the Metric-Affine (Einstein-Palatini) action for gravity
Jordi Gaset and Narciso Román-Roy
2019, 11(3) : 361-396 doi: 10.3934/jgm.2019019 +[Abstract](254) +[HTML](141) +[PDF](572.45KB)
Self-organization on Riemannian manifolds
Razvan C. Fetecau and Beril Zhang
2019, 11(3) : 397-426 doi: 10.3934/jgm.2019020 +[Abstract](241) +[HTML](104) +[PDF](2252.82KB)
Relative periodic solutions of the $ n $-vortex problem on the sphere
Carlos García-Azpeitia
2019, 11(3) : 427-438 doi: 10.3934/jgm.2019021 +[Abstract](173) +[HTML](102) +[PDF](303.46KB)
Improving E. Cartan considerations on the invariance of nonholonomic mechanics
Waldyr M. Oliva and Gláucio Terra
2019, 11(3) : 439-446 doi: 10.3934/jgm.2019022 +[Abstract](248) +[HTML](134) +[PDF](311.21KB)
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](2615) +[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](2249) +[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](2434) +[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](2605) +[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](1965) +[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](2058) +[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](2031) +[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](2014) +[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](2029) +[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](2187) +[PDF](360.8KB) Cited By(12)
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](3039) +[HTML](360) +[PDF](622.49KB) PDF Downloads(127)
Classical field theory on Lie algebroids: Multisymplectic formalism
Eduardo Martínez
2018, 10(1) : 93-138 doi: 10.3934/jgm.2018004 +[Abstract](3689) +[HTML](433) +[PDF](708.21KB) PDF Downloads(122)
The projective Cartan-Klein geometry of the Helmholtz conditions
Carlos Durán and Diego Otero
2018, 10(1) : 69-92 doi: 10.3934/jgm.2018003 +[Abstract](2891) +[HTML](325) +[PDF](437.43KB) PDF Downloads(93)
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](2065) +[HTML](15) +[PDF](680.5KB) PDF Downloads(92)
Geometry of Routh reduction
Katarzyna Grabowska and Paweƚ Urbański
2019, 11(1) : 23-44 doi: 10.3934/jgm.2019002 +[Abstract](1349) +[HTML](306) +[PDF](504.76KB) PDF Downloads(88)
On some aspects of the discretization of the suslov problem
Fernando Jiménez and Jürgen Scheurle
2018, 10(1) : 43-68 doi: 10.3934/jgm.2018002 +[Abstract](2773) +[HTML](306) +[PDF](1325.47KB) PDF Downloads(85)
Modified equations for variational integrators applied to Lagrangians linear in velocities
Mats Vermeeren
2019, 11(1) : 1-22 doi: 10.3934/jgm.2019001 +[Abstract](1141) +[HTML](285) +[PDF](1329.23KB) PDF Downloads(77)
Conservation laws in discrete geometry
Len G. Margolin and Roy S. Baty
2019, 11(2) : 187-203 doi: 10.3934/jgm.2019010 +[Abstract](1210) +[HTML](211) +[PDF](382.02KB) PDF Downloads(72)
Generalized variational calculus for continuous and discrete mechanical systems
Viviana Alejandra Díaz and David Martín de Diego
2018, 10(4) : 373-410 doi: 10.3934/jgm.2018014 +[Abstract](2218) +[HTML](241) +[PDF](644.95KB) PDF Downloads(71)
A note on time-optimal paths on perturbed spheroid
Piotr Kopacz
2018, 10(2) : 139-172 doi: 10.3934/jgm.2018005 +[Abstract](2970) +[HTML](268) +[PDF](3595.86KB) PDF Downloads(70)

2018  Impact Factor: 0.525

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