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Volume 14, 2022

Volume 13, 2021

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

Journal of Geometric Mechanics (JGM) will fully migrate to the AIMS Press website by the end of 2022. If you would like to submit a manuscript, please do so from the new journal homepage.

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 special issue dedicated to Tony Bloch: Part Ⅲ
Leonardo Colombo, Manuel de León and Tomoki Ohsawa
2022, 14(4) : i-i doi: 10.3934/jgm.2022020 +[Abstract](122) +[HTML](30) +[PDF](66.49KB)
Safe trajectory tracking for underactuated vehicles with partially unknown dynamics
Thomas Beckers, Leonardo J. Colombo and Sandra Hirche
2022, 14(4) : 491-505 doi: 10.3934/jgm.2022018 +[Abstract](179) +[HTML](94) +[PDF](608.62KB)
Efficient geometric linearization of moving-base rigid robot dynamics
Martijn Bos, Silvio Traversaro, Daniele Pucci and Alessandro Saccon
2022, 14(4) : 507-543 doi: 10.3934/jgm.2022009 +[Abstract](401) +[HTML](260) +[PDF](835.51KB)
Riemannian cubics close to geodesics at the boundaries
Margarida Camarinha, Fátima Silva Leite and Peter Crouch
2022, 14(4) : 545-558 doi: 10.3934/jgm.2022003 +[Abstract](472) +[HTML](162) +[PDF](460.45KB)
Koopman wavefunctions and classical states in hybrid quantum–classical dynamics
François Gay-Balmaz and Cesare Tronci
2022, 14(4) : 559-596 doi: 10.3934/jgm.2022019 +[Abstract](214) +[HTML](73) +[PDF](839.45KB)
Nonlinear dispersion in wave-current interactions
Darryl D. Holm and Ruiao Hu
2022, 14(4) : 597-633 doi: 10.3934/jgm.2022004 +[Abstract](593) +[HTML](175) +[PDF](6414.64KB)
Clebsch canonization of Lie–Poisson systems
Buddhika Jayawardana, Philip J. Morrison and Tomoki Ohsawa
2022, 14(4) : 635-658 doi: 10.3934/jgm.2022017 +[Abstract](251) +[HTML](152) +[PDF](1615.06KB)
Necessary conditions for feedback stabilization and safety
Matthew D. Kvalheim and Daniel E. Koditschek
2022, 14(4) : 659-693 doi: 10.3934/jgm.2022013 +[Abstract](294) +[HTML](96) +[PDF](906.08KB)
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](6127) +[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](5283) +[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](4540) +[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](6019) +[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](4882) +[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](4959) +[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](4552) +[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](4855) +[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](4342) +[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](5800) +[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](4541) +[PDF](369.5KB) PDF Downloads(1236)
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](2225) +[HTML](378) +[PDF](349.98KB) PDF Downloads(907)
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](4126) +[HTML](64) +[PDF](609.1KB) PDF Downloads(902)
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](1518) +[HTML](293) +[PDF](431.64KB) PDF Downloads(778)
Hamilton-Jacobi theory for Hamiltonian and non-Hamiltonian systems
Sergey Rashkovskiy
2020, 12(4) : 563-583 doi: 10.3934/jgm.2020024 +[Abstract](1690) +[HTML](254) +[PDF](331.11KB) PDF Downloads(652)
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](5866) +[HTML](401) +[PDF](468.22KB) PDF Downloads(644)
The Hamilton-Jacobi theory and the analogy between classical and quantum mechanics
Giuseppe Marmo, Giuseppe Morandi and Narasimhaiengar Mukunda
2009, 1(3) : 317-355 doi: 10.3934/jgm.2009.1.317 +[Abstract](3817) +[PDF](533.9KB) PDF Downloads(628)
Retraction: From Schouten to Mackenzie: Notes on brackets
Editorial Office
2021, 0(0) : 0 doi: 10.3934/jgm.2021010 +[Abstract](1172) +[HTML](508) +[PDF](90.24KB) PDF Downloads(548)
The Euler-Poisson equations: An elementary approach to integrability conditions
Sasho Popov and Jean-Marie Strelcyn
2018, 10(3) : 293-329 doi: 10.3934/jgm.2018011 +[Abstract](6748) +[HTML](327) +[PDF](564.97KB) PDF Downloads(541)
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](5180) +[HTML](328) +[PDF](1374.62KB) PDF Downloads(539)

2021 Impact Factor: 0.737
5 Year Impact Factor: 0.713
2021 CiteScore: 1.3



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