ISSN:
 1941-4889

eISSN:
 1941-4897

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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

More detailed information on the subjects covered by the journal can be found by viewing the fields of research of the members of the editorial board.

Contributions to this journal are published free of charge.

  • AIMS is a member of COPE. All AIMS journals adhere to the publication ethics and malpractice policies outlined by COPE.
  • Publishes 4 issues a year in March, June, September and December.
  • Publishes online only.
  • Indexed in Science Citation Index-Expanded, CompuMath Citation Index, Current Contents/Physical, Chemical & Earth Sciences (CC/PC&ES), INSPEC, Mathematical Reviews, MathSciNet, PASCAL/CNRS, Scopus, Web of Science and Zentralblatt MATH.
  • Archived in Portico and CLOCKSS.
  • JGM is a publication of the American Institute of Mathematical Sciences with the support of the Consejo Superior de Investigaciones Científicas (CSIC). All rights reserved.

Note: “Most Cited” is by Cross-Ref , and “Most Downloaded” is based on available data in the new website.

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Preface
Marco Castrillón López, David Martín de Diego, Tudor S. Ratiu and Cesare Tronci
2019, 11(2) : ⅰ-ⅲ doi: 10.3934/jgm.2019016 +[Abstract](295) +[HTML](160) +[PDF](5612.9KB)
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](685) +[HTML](214) +[PDF](468.22KB)
Particle relabelling symmetries and Noether's theorem for vertical slice models
Colin J. Cotter and Michael John Priestley Cullen
2019, 11(2) : 139-151 doi: 10.3934/jgm.2019007 +[Abstract](597) +[HTML](177) +[PDF](392.64KB)
Euler-Lagrangian approach to 3D stochastic Euler equations
Franco Flandoli and Dejun Luo
2019, 11(2) : 153-165 doi: 10.3934/jgm.2019008 +[Abstract](640) +[HTML](145) +[PDF](369.7KB)
Riemann-Hilbert problem, integrability and reductions
Vladimir S. Gerdjikov, Rossen I. Ivanov and Aleksander A. Stefanov
2019, 11(2) : 167-185 doi: 10.3934/jgm.2019009 +[Abstract](629) +[HTML](151) +[PDF](479.16KB)
Conservation laws in discrete geometry
Len G. Margolin and Roy S. Baty
2019, 11(2) : 187-203 doi: 10.3934/jgm.2019010 +[Abstract](738) +[HTML](150) +[PDF](382.02KB)
Embedding Camassa-Holm equations in incompressible Euler
Andrea Natale and François-Xavier Vialard
2019, 11(2) : 205-223 doi: 10.3934/jgm.2019011 +[Abstract](673) +[HTML](140) +[PDF](523.93KB)
Dual pairs and regularization of Kummer shapes in resonances
Tomoki Ohsawa
2019, 11(2) : 225-238 doi: 10.3934/jgm.2019012 +[Abstract](603) +[HTML](146) +[PDF](1010.6KB)
Dispersive Lamb systems
Peter J. Olver and Natalie E. Sheils
2019, 11(2) : 239-254 doi: 10.3934/jgm.2019013 +[Abstract](589) +[HTML](154) +[PDF](4206.77KB)
Dual pairs for matrix groups
Paul Skerritt and Cornelia Vizman
2019, 11(2) : 255-275 doi: 10.3934/jgm.2019014 +[Abstract](598) +[HTML](161) +[PDF](547.2KB)
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](652) +[HTML](168) +[PDF](1374.62KB)
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](2263) +[PDF](475.8KB) Cited By(30)
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](1923) +[PDF](789.5KB) Cited By(17)
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](2013) +[PDF](661.6KB) Cited By(16)
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](2272) +[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](1711) +[PDF](488.1KB) Cited By(15)
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](1750) +[PDF](587.5KB) 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](1787) +[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](1712) +[PDF](597.2KB) Cited By(14)
$G$-Chaplygin systems with internal symmetries, truncation, and an (almost) symplectic view of Chaplygin's ball
Simon Hochgerner and Luis García-Naranjo
2009, 1(1) : 35-53 doi: 10.3934/jgm.2009.1.35 +[Abstract](1779) +[PDF](272.6KB) Cited By(13)
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](1899) +[PDF](360.8KB) Cited By(12)
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](2329) +[HTML](360) +[PDF](622.49KB) PDF Downloads(127)
Classical field theory on Lie algebroids: Multisymplectic formalism
Eduardo Martínez
2018, 10(1) : 93-138 doi: 10.3934/jgm.2018004 +[Abstract](2449) +[HTML](432) +[PDF](708.21KB) PDF Downloads(121)
The projective Cartan-Klein geometry of the Helmholtz conditions
Carlos Durán and Diego Otero
2018, 10(1) : 69-92 doi: 10.3934/jgm.2018003 +[Abstract](2146) +[HTML](325) +[PDF](437.43KB) PDF Downloads(92)
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](1769) +[HTML](15) +[PDF](680.5KB) PDF Downloads(90)
Geometry of Routh reduction
Katarzyna Grabowska and Paweƚ Urbański
2019, 11(1) : 23-44 doi: 10.3934/jgm.2019002 +[Abstract](895) +[HTML](306) +[PDF](504.76KB) PDF Downloads(87)
On some aspects of the discretization of the suslov problem
Fernando Jiménez and Jürgen Scheurle
2018, 10(1) : 43-68 doi: 10.3934/jgm.2018002 +[Abstract](2041) +[HTML](306) +[PDF](1325.47KB) PDF Downloads(84)
Modified equations for variational integrators applied to Lagrangians linear in velocities
Mats Vermeeren
2019, 11(1) : 1-22 doi: 10.3934/jgm.2019001 +[Abstract](688) +[HTML](285) +[PDF](1329.23KB) PDF Downloads(75)
Generalized variational calculus for continuous and discrete mechanical systems
Viviana Alejandra Díaz and David Martín de Diego
2018, 10(4) : 373-410 doi: 10.3934/jgm.2018014 +[Abstract](1472) +[HTML](241) +[PDF](644.95KB) PDF Downloads(71)
A note on time-optimal paths on perturbed spheroid
Piotr Kopacz
2018, 10(2) : 139-172 doi: 10.3934/jgm.2018005 +[Abstract](2209) +[HTML](267) +[PDF](3595.86KB) PDF Downloads(68)
Bohr-Sommerfeld-Heisenberg quantization of the mathematical pendulum
Richard Cushman and Jędrzej Śniatycki
2018, 10(4) : 419-443 doi: 10.3934/jgm.2018016 +[Abstract](1361) +[HTML](242) +[PDF](1324.84KB) PDF Downloads(68)

2018  Impact Factor: 0.525

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