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Volume 12, 2020

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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Invariant structures on Lie groups
Javier Pérez Álvarez
2020, 12(2) : 141-148 doi: 10.3934/jgm.2020007 +[Abstract](402) +[HTML](238) +[PDF](270.72KB)
Conservative replicator and Lotka-Volterra equations in the context of Dirac\big-isotropic structures
Hassan Najafi Alishah
2020, 12(2) : 149-164 doi: 10.3934/jgm.2020008 +[Abstract](401) +[HTML](212) +[PDF](368.78KB)
Nonholonomic and constrained variational mechanics
Andrew D. Lewis
2020, 12(2) : 165-308 doi: 10.3934/jgm.2020013 +[Abstract](276) +[HTML](103) +[PDF](1063.2KB)
A note on Hybrid Routh reduction for time-dependent Lagrangian systems
Leonardo J. Colombo, María Emma Eyrea Irazú and Eduardo García-Toraño Andrés
2020, 12(2) : 309-321 doi: 10.3934/jgm.2020014 +[Abstract](149) +[HTML](64) +[PDF](401.58KB)
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](3372) +[PDF](475.8KB) Cited By(42)
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](2762) +[PDF](587.5KB) Cited By(25)
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](3318) +[PDF](661.6KB) Cited By(23)
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](2969) +[PDF](789.5KB) Cited By(17)
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](3328) +[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](2606) +[PDF](488.1KB) Cited By(15)
Shape analysis on Lie groups with applications in computer animation
Elena Celledoni, Markus Eslitzbichler and Alexander Schmeding
2016, 8(3) : 273-304 doi: 10.3934/jgm.2016008 +[Abstract](2278) +[PDF](3465.1KB) 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](2613) +[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](2707) +[PDF](597.2KB) Cited By(14)
Variational principles for spin systems and the Kirchhoff rod
François Gay-Balma, Darryl D. Holm and Tudor S. Ratiu
2009, 1(4) : 417-444 doi: 10.3934/jgm.2009.1.417 +[Abstract](2289) +[PDF](310.1KB) Cited By(13)
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](3167) +[HTML](393) +[PDF](468.22KB) PDF Downloads(209)
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](5082) +[HTML](456) +[PDF](622.49KB) PDF Downloads(156)
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](1053) +[HTML](248) +[PDF](703.04KB) PDF Downloads(147)
Classical field theory on Lie algebroids: Multisymplectic formalism
Eduardo Martínez
2018, 10(1) : 93-138 doi: 10.3934/jgm.2018004 +[Abstract](5863) +[HTML](541) +[PDF](708.21KB) PDF Downloads(146)
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](3117) +[HTML](318) +[PDF](1374.62KB) PDF Downloads(145)
Invariant metrics on Lie groups
Gerard Thompson
2015, 7(4) : 517-526 doi: 10.3934/jgm.2015.7.517 +[Abstract](2415) +[PDF](369.5KB) PDF Downloads(136)
Conservation laws in discrete geometry
Len G. Margolin and Roy S. Baty
2019, 11(2) : 187-203 doi: 10.3934/jgm.2019010 +[Abstract](3329) +[HTML](304) +[PDF](382.02KB) PDF Downloads(134)
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](2728) +[HTML](131) +[PDF](680.5KB) PDF Downloads(134)
A note on time-optimal paths on perturbed spheroid
Piotr Kopacz
2018, 10(2) : 139-172 doi: 10.3934/jgm.2018005 +[Abstract](3645) +[HTML](325) +[PDF](3595.86KB) PDF Downloads(128)
Modified equations for variational integrators applied to Lagrangians linear in velocities
Mats Vermeeren
2019, 11(1) : 1-22 doi: 10.3934/jgm.2019001 +[Abstract](3082) +[HTML](400) +[PDF](1329.23KB) PDF Downloads(125)

2019  Impact Factor: 0.649



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