ISSN:
 1941-4889

eISSN:
 1941-4897

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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





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 in honor of Kirill C. H. Mackenzie: Part Ⅱ
Iakovos Androulidakis, Henrique Burzstyn, Juan-Carlos Marrero and Alan Weinstein
2022, 14(2) : i-ii doi: 10.3934/jgm.2022016 +[Abstract](93) +[HTML](35) +[PDF](110.43KB)
Poisson double structures
Henrique Bursztyn, Alejandro Cabrera and Matias del Hoyo
2022, 14(2) : 151-178 doi: 10.3934/jgm.2021029 +[Abstract](493) +[HTML](175) +[PDF](567.09KB)
Constrained systems, generalized Hamilton-Jacobi actions, and quantization
Alberto S. Cattaneo, Pavel Mnev and Konstantin Wernli
2022, 14(2) : 179-272 doi: 10.3934/jgm.2022010 +[Abstract](142) +[HTML](73) +[PDF](1215.17KB)
Modular class of Lie $ \infty $-algebroids and adjoint representations
Raquel Caseiro and Camille Laurent-Gengoux
2022, 14(2) : 273-305 doi: 10.3934/jgm.2022008 +[Abstract](148) +[HTML](57) +[PDF](604.47KB)
Quotients of double vector bundles and multigraded bundles
Eckhard Meinrenken
2022, 14(2) : 307-329 doi: 10.3934/jgm.2021027 +[Abstract](520) +[HTML](233) +[PDF](478.79KB)
The evolution equation: An application of groupoids to material evolution
Víctor Manuel Jiménez and Manuel de León
2022, 14(2) : 331-348 doi: 10.3934/jgm.2022001 +[Abstract](374) +[HTML](139) +[PDF](449.26KB)
Towards a 2-dimensional notion of holonomy
Ronald Brown and İlhan İçen
2022, 14(2) : 349-375 doi: 10.3934/jgm.2022011 +[Abstract](114) +[HTML](75) +[PDF](608.41KB)
Kirill Mackenzie, Bangor and holonomy
Ronald Brown
2022, 14(2) : 377-380 doi: 10.3934/jgm.2022012 +[Abstract](115) +[HTML](32) +[PDF](286.26KB)
Retraction: From Schouten to Mackenzie: Notes on brackets
Editorial Office
2021doi: 10.3934/jgm.2021010 +[Abstract](983) +[HTML](457) +[PDF](90.24KB)
Parametric stability of a double pendulum with variable length and with its center of mass in an elliptic orbit
José Laudelino de Menezes Neto, Gerson Cruz Araujo, Yocelyn Pérez Rothen and Claudio Vidal
2022doi: 10.3934/jgm.2021031 +[Abstract](415) +[HTML](149) +[PDF](979.57KB)
Riemannian cubics close to geodesics at the boundaries
Margarida Camarinha, Fátima Silva Leite and Peter Crouch
2022doi: 10.3934/jgm.2022003 +[Abstract](253) +[HTML](108) +[PDF](376.49KB)
Nonlinear dispersion in wave-current interactions
Darryl D. Holm and Ruiao Hu
2022doi: 10.3934/jgm.2022004 +[Abstract](446) +[HTML](123) +[PDF](6414.64KB)
Infinite lifting of an action of symplectomorphism group on the set of bi-Lagrangian structures
Bertuel Tangue Ndawa
2022doi: 10.3934/jgm.2022006 +[Abstract](203) +[HTML](83) +[PDF](508.08KB)
On embedding of subcartesian differential space and application
Qianqian Xia
2022doi: 10.3934/jgm.2022007 +[Abstract](229) +[HTML](67) +[PDF](470.89KB)
Efficient geometric linearization of moving-base rigid robot dynamics
Martijn Bos, Silvio Traversaro, Daniele Pucci and Alessandro Saccon
2022doi: 10.3934/jgm.2022009 +[Abstract](247) +[HTML](117) +[PDF](835.38KB)
Necessary conditions for feedback stabilization and safety
Matthew D. Kvalheim and Daniel E. Koditschek
2022doi: 10.3934/jgm.2022013 +[Abstract](99) +[HTML](26) +[PDF](905.94KB)
Backward error analysis for variational discretisations of PDEs
Robert I McLachlan and Christian Offen
2022doi: 10.3934/jgm.2022014 +[Abstract](99) +[HTML](19) +[PDF](1613.01KB)
Atmospheric Ekman flows with uniform density in ellipsoidal coordinates: Explicit solution and dynamical properties
Taoyu Yang, Michal Fečkan and JinRong Wang
2022doi: 10.3934/jgm.2022015 +[Abstract](74) +[HTML](37) +[PDF](486.08KB)
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](5821) +[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](5154) +[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](4404) +[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](5812) +[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](4719) +[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](4847) +[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](4387) +[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](4611) +[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](4181) +[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](5504) +[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](4366) +[PDF](369.5KB) PDF Downloads(1151)
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](3883) +[HTML](62) +[PDF](609.1KB) PDF Downloads(859)
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](2122) +[HTML](378) +[PDF](349.98KB) PDF Downloads(855)
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](1386) +[HTML](293) +[PDF](431.64KB) PDF Downloads(715)
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](5758) +[HTML](401) +[PDF](468.22KB) PDF Downloads(627)
Hamilton-Jacobi theory for Hamiltonian and non-Hamiltonian systems
Sergey Rashkovskiy
2020, 12(4) : 563-583 doi: 10.3934/jgm.2020024 +[Abstract](1583) +[HTML](254) +[PDF](331.11KB) PDF Downloads(613)
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](3620) +[PDF](533.9KB) PDF Downloads(586)
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](5077) +[HTML](328) +[PDF](1374.62KB) PDF Downloads(516)
Multi-agent systems for quadcopters
Richard Carney, Monique Chyba, Chris Gray, George Wilkens and Corey Shanbrom
2022, 14(1) : 1-28 doi: 10.3934/jgm.2021005 +[Abstract](1246) +[HTML](491) +[PDF](3403.38KB) PDF Downloads(499)
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](1800) +[HTML](262) +[PDF](542.75KB) PDF Downloads(494)

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

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