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JGM Flyer: showing all essential information of the journal.
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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The principle of virtual work and Hamilton's principle on Galilean manifolds
Giuseppe Capobianco, Tom Winandy and Simon R. Eugster
2021, 13(2) : 167-193 doi: 10.3934/jgm.2021002 +[Abstract](532) +[HTML](208) +[PDF](431.64KB)
Quasi-bi-Hamiltonian structures and superintegrability: Study of a Kepler-related family of systems endowed with generalized Runge-Lenz integrals of motion
Manuel F. Rañada
2021, 13(2) : 195-208 doi: 10.3934/jgm.2021003 +[Abstract](487) +[HTML](201) +[PDF](357.73KB)
Matched pair analysis of the Vlasov plasma
Oǧul Esen and Serkan Sütlü
2021, 13(2) : 209-246 doi: 10.3934/jgm.2021011 +[Abstract](227) +[HTML](123) +[PDF](573.03KB)
A bundle framework for observer design on smooth manifolds with symmetry
Anant A. Joshi, D. H. S. Maithripala and Ravi N. Banavar
2021, 13(2) : 247-271 doi: 10.3934/jgm.2021015 +[Abstract](139) +[HTML](47) +[PDF](865.62KB)
Erratum: Constraint algorithm for singular field theories in the $ k $-cosymplectic framework
Xavier Gràcia, Xavier Rivas and Narciso Román-Roy
2021, 13(2) : 273-275 doi: 10.3934/jgm.2021007 +[Abstract](197) +[HTML](80) +[PDF](221.42KB)
Sobolev metrics on shape space of surfaces
Martin Bauer, Philipp Harms and Peter W. Michor
2011, 3(4) : 389-438 doi: 10.3934/jgm.2011.3.389 +[Abstract](4604) +[PDF](2091.6KB) Cited By(47)
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](4305) +[PDF](475.8KB) Cited By(45)
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](3531) +[PDF](587.5KB) Cited By(27)
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](4381) +[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](3836) +[PDF](789.5KB) Cited By(22)
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](3821) +[PDF](360.8KB) Cited By(22)
Integrable Euler top and nonholonomic Chaplygin ball
Andrey Tsiganov
2011, 3(3) : 337-362 doi: 10.3934/jgm.2011.3.337 +[Abstract](3507) +[PDF](488.1KB) Cited By(20)
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](3571) +[PDF](597.2KB) Cited By(20)
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](3337) +[PDF](494.1KB) Cited By(18)
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](4318) +[PDF](318.8KB) Cited By(17)
Invariant metrics on Lie groups
Gerard Thompson
2015, 7(4) : 517-526 doi: 10.3934/jgm.2015.7.517 +[Abstract](3383) +[PDF](369.5KB) PDF Downloads(621)
Probability measures on infinite-dimensional Stiefel manifolds
Eleonora Bardelli and Andrea Carlo Giuseppe Mennucci
2017, 9(3) : 291-316 doi: 10.3934/jgm.2017012 +[Abstract](2879) +[HTML](62) +[PDF](609.1KB) PDF Downloads(483)
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](4766) +[HTML](397) +[PDF](468.22KB) PDF Downloads(455)
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](4411) +[HTML](323) +[PDF](1374.62KB) PDF Downloads(345)
A summary on symmetries and conserved quantities of autonomous Hamiltonian systems
Narciso Román-Roy
2020, 12(3) : 541-551 doi: 10.3934/jgm.2020009 +[Abstract](1221) +[HTML](374) +[PDF](349.98KB) PDF Downloads(335)
Vortex pairs on a triaxial ellipsoid and Kimura's conjecture
Adriano Regis Rodrigues, César Castilho and Jair Koiller
2018, 10(2) : 189-208 doi: 10.3934/jgm.2018007 +[Abstract](3976) +[HTML](266) +[PDF](1421.47KB) PDF Downloads(302)
Invariant structures on Lie groups
Javier Pérez Álvarez
2020, 12(2) : 141-148 doi: 10.3934/jgm.2020007 +[Abstract](1687) +[HTML](316) +[PDF](270.72KB) PDF Downloads(267)
Momentum maps for mixed states in quantum and classical mechanics
Cesare Tronci
2019, 11(4) : 639-656 doi: 10.3934/jgm.2019032 +[Abstract](1722) +[HTML](173) +[PDF](401.35KB) PDF Downloads(254)
The principle of virtual work and Hamilton's principle on Galilean manifolds
Giuseppe Capobianco, Tom Winandy and Simon R. Eugster
2021, 13(2) : 167-193 doi: 10.3934/jgm.2021002 +[Abstract](532) +[HTML](208) +[PDF](431.64KB) PDF Downloads(231)
Conservation laws in discrete geometry
Len G. Margolin and Roy S. Baty
2019, 11(2) : 187-203 doi: 10.3934/jgm.2019010 +[Abstract](4829) +[HTML](311) +[PDF](382.02KB) PDF Downloads(226)

2020 Impact Factor: 0.857
5 Year Impact Factor: 0.807
2020 CiteScore: 1.3

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