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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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Preface to the special issue dedicated to Anthony Bloch
Leonardo Colombo, Manuel de León and Tomoki Ohsawa
2021, 13(1) : i-iii doi: 10.3934/jgm.2021004 +[Abstract](293) +[HTML](133) +[PDF](2156.14KB)
Geometric optimal techniques to control the muscular force response to functional electrical stimulation using a non-isometric force-fatigue model
Bernard Bonnard and Jérémy Rouot
2021, 13(1) : 1-23 doi: 10.3934/jgm.2020032 +[Abstract](506) +[HTML](204) +[PDF](4559.97KB)
Contact Hamiltonian and Lagrangian systems with nonholonomic constraints
Manuel de León, Víctor M. Jiménez and Manuel Lainz
2021, 13(1) : 25-53 doi: 10.3934/jgm.2021001 +[Abstract](564) +[HTML](188) +[PDF](542.75KB)
A Lagrangian approach to extremal curves on Stiefel manifolds
Knut Hüper, Irina Markina and Fátima Silva Leite
2021, 13(1) : 55-72 doi: 10.3934/jgm.2020031 +[Abstract](524) +[HTML](241) +[PDF](378.67KB)
On nomalized differentials on spectral curves associated with the sinh-Gordon equation
Thomas Kappeler and Yannick Widmer
2021, 13(1) : 73-143 doi: 10.3934/jgm.2020023 +[Abstract](578) +[HTML](330) +[PDF](1680.37KB)
A unifying approach for rolling symmetric spaces
Krzysztof A. Krakowski, Luís Machado and Fátima Silva Leite
2021, 13(1) : 145-166 doi: 10.3934/jgm.2020016 +[Abstract](934) +[HTML](446) +[PDF](1302.18KB)
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](4371) +[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](4063) +[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](3358) +[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](4141) +[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](3642) +[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](3627) +[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](3331) +[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](3392) +[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](3167) +[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](4118) +[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](3201) +[PDF](369.5KB) PDF Downloads(475)
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](4558) +[HTML](397) +[PDF](468.22KB) PDF Downloads(407)
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](2685) +[HTML](62) +[PDF](609.1KB) PDF Downloads(382)
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](4250) +[HTML](323) +[PDF](1374.62KB) PDF Downloads(294)
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](1069) +[HTML](374) +[PDF](349.98KB) PDF Downloads(268)
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](3813) +[HTML](264) +[PDF](1421.47KB) PDF Downloads(251)
Invariant structures on Lie groups
Javier Pérez Álvarez
2020, 12(2) : 141-148 doi: 10.3934/jgm.2020007 +[Abstract](1503) +[HTML](316) +[PDF](270.72KB) PDF Downloads(227)
Momentum maps for mixed states in quantum and classical mechanics
Cesare Tronci
2019, 11(4) : 639-656 doi: 10.3934/jgm.2019032 +[Abstract](1561) +[HTML](172) +[PDF](401.35KB) PDF Downloads(226)
Conservation laws in discrete geometry
Len G. Margolin and Roy S. Baty
2019, 11(2) : 187-203 doi: 10.3934/jgm.2019010 +[Abstract](4621) +[HTML](311) +[PDF](382.02KB) PDF Downloads(198)
Integrable Euler top and nonholonomic Chaplygin ball
Andrey Tsiganov
2011, 3(3) : 337-362 doi: 10.3934/jgm.2011.3.337 +[Abstract](3331) +[PDF](488.1KB) PDF Downloads(197)

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