# Recent publications

* A number of articles can be downloaded as postscript - [ps] or
Portable Document Format - [PDF] files. PS- or PDF-files can be opened
with respecively Ghostview or Acrobat Reader
*

2016 |
2015 2014 2013 2012 |
2011 2010 2009 2008 |
2007 2006 2005 2004 |
2003 2002 2001 2000 |
1999 1998 1997 1996 |
1995 1994 1993 1992 |

### Preprints

### 2017

W. Sarlet, T. Mestdag and G. Prince, A generalization of Szebehely's inverse problem of dynamics in dimension three.
Reports on Mathematical Physics 79 (2017), 367-389.

[arXiv] [doi]

### 2016

M. Farré Puiggalí and T. Mestdag, The inverse problem of the calculus of variations and the stabilization of controlled
Lagrangian systems. SIAM Journal on Control and Optimization 54 (2016) 3297-3318.

[arXiv] [doi]

E. García-Toraño Andrés and T. Mestdag, Un-reduction of systems of second-order ordinary
differential equations.
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) (2016), 115, 20 pages.

[arXiv] [doi]

E. García-Toraño Andrés, T. Mestdag and H. Yoshimura, Implicit Lagrange-Routh Equations and Dirac Reduction.
Journal of Geometry and Physics 104 (2016) 291-304.

[arXiv] [doi]

T. Mestdag, Finsler geodesics of Lagrangian systems through Routh reduction. Mediterranean Journal of Mathematics 13 (2016) 825-839.

[arXiv] [doi]

### 2015

L. Búa, T. Mestdag and M. Salgado, Symmetry reduction, integrability and reconstruction in k-symplectic
field theory. Journal of Geometric Mechanics 7 (2015), 395-429.

[arXiv] [doi]

### 2014

G. Waeyaert, W. Sarlet, Lifted tensors and Hamilton-Jacobi separability. J. Geom. Phys. 86 (2014), 122-133.

[arXiv]
[doi]

E. García-Toraño Andrés, E. Guzmán, J.C. Marrero and T. Mestdag, Reduced dynamics and Lagrangian submanifolds of symplectic manifolds.
J. Phys. A: Math. Theor. 47 (2014) 225203.

[arXiv]
[doi]

E. García-Toraño Andrés, B. Langerock, F. Cantrijn, Aspects of reduction and transformation of Lagrangian systems with symmetry. J. Geom. Mech. 6 (2014) 1-23.

[arXiv] [doi]

M. Crampin and T. Mestdag, A class of Finsler surfaces whose geodesics are circles. Publ. Math. (Debrecen) 84 (1-2) (2014), 3-16.

[arXiv] [journal]

### 2013

J. Vankerschaver, C. Liao, M. Leok, Generating Functionals and Lagrangian PDEs. J. Math. Phys. 54 (2013), 082901.

[arXiv]
[doi]

W. Sarlet, G. Waeyaert, Lifting geometric objects to the dual of the first jet bundle of a bundle fibred over R. J. Geom. Phys. 74 (2013), 109-118.

[arXiv]
[doi]

W. Sarlet, T. Mestdag, G. Prince, A generalization of Szebehely's inverse problem of dynamics. Rep. Math. Phys. (2013).

[arXiv]
[doi]

L.C. Garcia-Naranjo and J. Vankerschaver, Nonholonomic LL systems on central extensions and the hydrodynamic Chaplygin sleigh with circulation. J. Geom. Phys. 73 (2013) 56-69.

[arXiv]
[doi]

M. Crampin, T. Mestdag and D.J. Saunders, Hilbert forms for a Finsler metrizable projective class of sprays.
Diff. Geom. Appl. 31 (2013) 63-79.

[arXiv]
[doi]

### 2012

J. Vankerschaver, H. Yoshimura,
M. Leok, The Hamilton-Pontryagin Principle and Multi-Dirac
Structures for Classical Field Theories. J. Math. Phys. 53 (2012) 7, 072903

[pdf]
[doi]

M. Crampin, T. Mestdag and D.J. Saunders, The multiplier approach to
the projective Finsler metrizability problem. Diff. Geom. Appl. 30 (2012), 604-621.

[arXiv]
[doi]

B. Langerock, E. Garcia-Torano Andres, F. Cantrijn, Routh reduction and the class of magnetic Lagrangian systems. J. Math. Phys. 53, 062902 (2012)

[arXiv]
[doi]

W. Sarlet, G. Prince, T. Mestdag and O. Krupkova, Time-dependent kinetic energy metrics for Lagrangians of electromagnetic type. J. Phys. A: Math. Theor. 45 (2012) 085208.

[arXiv]
[doi]

W. Sarlet and G. Waeyaert, Driven cofactor systems and Hamilton-Jacobi separability, J. Phys. A: Math. Theor. 45 (2012) 085206

[arXiv]
[doi]

W. Sarlet, Geometric calculus for second-order differential equations
and generalizations of the inverse problem of Lagrangian
mechanics. International Journal of Non-Linear Mechanics 47 (2012), 1132-1140.

[pdf]
[doi]

### 2011

B. Langerock, T. Mestdag and J. Vankerschaver, Routh reduction by stages. * Symmetry, Integrability and Geometry: Meth. Appl. (SIGMA)* 7 (2011), 109, 31 pages.

[arXiv]
[doi]

T. Mestdag and M. Crampin, Involutive distributions and dynamical systems of second-order type. Diff. Geom. Appl. 29 (2011) 747-757.

[arXiv] [doi]

T. Mestdag, W. Sarlet and M. Crampin, Second-order dynamical systems of Lagrangian type with
dissipation. Diff. Geom. Appl. 29 (2011) S156-S163.

[pdf]
[doi]

J. Vankerschaver, H. Yoshimura, M. Leok. On the Geometry of Multi-Dirac Structures and Gerstenhaber Algebras.
J. Geom. Phys. 61 (2011), nr. 8, pp. 1415-1425.

[arXiv]
[doi]

M. Crampin and T. Mestdag, Reduction of invariant constrained systems using anholonomic frames.
J. Geometric Mechanics 3 (2011) 23 - 40.

[arXiv]
[doi]

M. Crampin and T. Mestdag, The Cartan form for constrained Lagrangian systems and the
nonholonomic Noether theorem. Int. J. Geom. Methods. Mod. Phys. 8 (2011) 897-923.

[arXiv] [doi]

T. Mestdag, W. Sarlet and M. Crampin, The inverse problem for Lagrangian systems with certain
non-conservative forces. Diff. Geom. Appl. 29 (2011) 55-72.

[arXiv] [doi]

### 2010

J. Vankerschaver, H. Yoshimura, M. Leok, J. E. Marsden.
Stokes-Dirac Structures through Reduction of Infinite-Dimensional Dirac
Structures. Proc. IEEE Conf. on Decision and Control, 6265-6270, 2010.

[pdf]

B. Langerock and M. Castrillon Lopez, Routh reduction for singular Lagrangians, IJGMMP 7(8), 1451--1489 (2010).

[ArXiv] [doi]

W. Sarlet, Comment on 'Conservation laws of
higher-order nonlinear PDEs and the variational conservation laws in the
class with mixed derivatives'. J. Phys. A: Math. Theor. 43 (2010)
458001.

[pdf]
[doi]

W. Sarlet and G. Prince, Alternative kinetic energy metrics for Lagrangian systems, J. Phys. A: Math. Theor. 43 (2010) 445204.

[pdf]
[doi]

J. Vankerschaver, E. Kanso, J. E. Marsden. The Dynamics
of a Rigid Body in Potential Flow with Circulation, Reg. Chaot. Dyn. 15
(2010) 606-629.

[pdf]

T. Mestdag and M. Crampin, Nonholonomic systems as
restricted Euler-Lagrange systems, Balkan J. Geom. Appl. 15 (2) (2010),
78-89.

[pdf]

M. Crampin, T. Mestdag and W. Sarlet,
On the generalized Helmholtz conditions for Lagrangian systems with
dissipative forces, Z. Angew. Math. Mech. 90 (2010), 502--508.

[pdf]

M. Crampin and T. Mestdag, Anholonomic frames in constrained dynamics, Dynamical Systems 25 (2010), 159 - 187.

[pdf]

B. Langerock, F. Cantrijn and J. Vankerschaver,
Routhian reduction for quasi-invariant Lagrangians. J. Math. Phys. 51
(2010) 02290.

[pdf]

### 2009

C.M. Campos, M. de Leon, D. Martin de Diego and J.
Vankerschaver, Unambiguous Formalism for Higher-Order Lagrangian Field
Theories. J. Phys. A: Math. Theor. 42 (2009) 475207.

[pdf]

O.E. Fernandez, T. Mestdag and A.M. Bloch, A
generalization of Chaplygin's reducibility theorem. Reg. Chaot. Dyn. 14
(2009), 635-655.

[pdf]

Y. Or, J. Vankerschaver, S.D. Kelly, R.M. Murray and
J.E. Marsden, Geometric Control of Particle Manipulation in a
Two-Dimensional Fluid.
Proc. 48th Control and Decision Conf, Shanghai (2009).

[pdf]

W. Sarlet, G.E. Prince and M. Crampin, Generalized
submersiveness of second-order ordinary differential equations, J. Geom.
Mech. 1 (2009) 209-221.

[pdf]

J. Vankerschaver, E. Kanso, J.E. Marsden: The Geometry and Dynamics of Interacting Rigid
Bodies and Point Vortices. J. Geom. Mech. 1 (2009) 223-266.

[pdf]

M. Crampin and T. Mestdag, Second-order differential equation fields with symmetry.
In: O. Krupkova et al (eds.), Variations, Geometry and Physics, Nova Science Publishers
(2009), 261-275.

[pdf]

W. Sarlet, Linear connections along the tangent bundle
projection. In: O. Krupkova et al (eds.), Variations, Geometry and
Physics, Nova Science Publishers
(2009), 315-340.

[pdf]

T. Mestdag, A.M. Bloch and O.E. Fernandez,
Hamiltonization and geometric integration of nonholonomic mechanical
systems, Proc. 8th National Congress on
Theoretical and Applied Mechanics, Brussels (Belgium) (2009), 230-236.

[pdf]

A.M. Bloch, O.E. Fernandez and T. Mestdag, Hamiltonization of nonholonomic systems and
the inverse problem of the calculus of variations,
Rep. Math. Phys. 63 (2009) 225-249.

[pdf]

M. Crampin, T. Mestdag, Reduction and reconstruction
aspects of second-order dynamical systems with symmetry. Acta Appl.
Math. (2009) 105: 241-266.

[pdf]

### 2008

O.E. Fernandez, A.M. Bloch and T. Mestdag, The Pontryagin maximum principle applied to
nonholonomic mechanics,
Proc. 47th IEEE Conference on Decision and Control, Cancun (Mexico), 2008, 4306-4311.

[pdf]

J. Vankerschaver, E. Kanso, J. E. Marsden: The motion of solid bodies in potential flow with circulation: a geometric outlook. Proceedings of the 2008 ASME Dynamic Systems and Control Conference.

J. Vankerschaver, A connection-theoretic approach to the analysis of symmetries of
nonholonomic field theories.
Proc. 10th Conf. on Differential Geometry and its Applications, World
Sci. Publ., River Edge, NJ, 2008, 703-711.

[pdf]

M. Crampin, T. Mestdag, Relative equilibria of Lagrangian systems
with symmetry. J. Geom. Phys. 58 (2008) 874-887.

[pdf]

M. Crampin and T. Mestdag, The inverse problem for invariant Lagrangians on a Lie group.
J. Lie Theory 18 (2008), 471-502.

[pdf]

M. Crampin, T. Mestdag, Routh's procedure for non-Abelian symmetry groups.
J. Math. Phys. 49 (2008), 032901 (28p).

[pdf]

T. Mestdag, M. Crampin, Invariant Lagrangians,
mechanical connections and the Lagrange-Poincare equations. J. Phys. A:
Math. Theor. 41 (2008) 344015 (20pp).

[pdf]
[journal]

B. Langerock, Conic Distributions and Accessible Sets. J. Dyn. Control Sys. Vol. 14, No. 1, January 2008, 43-70.

[pdf]

J. Vankerschaver, D. Martin de Diego, Symmetry aspects
of nonholonomic field theories. J. Phys. A: Math. Theor. 41 (2008),
035401.

[pdf]
[journal]

W. Sarlet, W. Vanbiervliet, Geometric characterization of driven cofactor systems. J. Phys. A: Math. Theor. 41 (2008), 042001.

[pdf]
[journal]

### 2007

T. Mestdag, M. Crampin, A connection-theoretic approach to reduction
of second-order dynamical systems with symmetry.
Proc. Appl. Math. Mech. 7 (2007), 1030605 - 1030606.

[pdf]
[journal]

D. Krupka, O. Krupkova, G. Prince and W. Sarlet,
Contact symmetries of the Helmholtz form.
Differential Geometry and its Applications 25 (2007) 518-542

[journal]

F. Cantrijn. M. Crampin and B. Langerock (eds.),
Differential geometric methods in mechanics and field theory, Volume in
honour of Willy Sarlet (2007), iii-154 p.

Available on request

F. Cantrijn, J. Vankerschaver, The Skinner-Rusk approach for vakonomic and nonholonomic
field theories. In: F. Cantrijn et al (eds.), Differential geometric methods in mechanics
and field theory, Volume in honour of Willy Sarlet (2007), 1-14.

[pdf]

T. Mestdag, Relative equilibria of invariant Lagrangian
systems on a Lie group, In: F. Cantrijn et al (eds.), Differential
geometric methods in mechanics and field theory, Volume in honour of
Willy Sarlet (2007), 115-129.

[pdf]

J. Vankerschaver, Euler-Poincare reduction for discrete field theories. J. Math. Phys. 48, 032902 (2007)

[ps]
[pdf]
[journal]

J. Vankerschaver, A class of nonholonomic kinematic constraints in elasticity. J. Phys. A: Math. Theor. 40, 3389-3913 (2007)

[ps]
[pdf]
[journal]

W. Sarlet, A recursive scheme of first integrals of the geodesic flow of a Finsler manifold. SIGMA 3 (2007), 024, 9 pages.

[arXiv]

J. Vankerschaver, F. Cantrijn, Discrete Lagrangian field theories on Lie groupoids. J. Geom. Phys. 57, 665-689 (2007)

[ps]
[pdf]
[journal]

### 2006

J. E. Aldridge, G. E. Prince, W. Sarlet, G. Thompson, An
EDS approach to the inverse problem in the calculus of variations. J.
Math. Phys. 47, 103508 (2006)

[pdf] [journal]

F. Vermeire, W. Sarlet, M. Crampin, A class of recursion
operators on a tangent bundle. J. Phys. A: Math. Gen. 39, 7319-7340
(2006)

[ps]
[pdf]

### 2005

J. Vankerschaver, The momentum map for nonholonomic
field theories with symmetry. Int. J. Geom. Meth. Mod. Phys. 2,
1029-1041 (2005)

[ps]
[pdf]

J. Vankerschaver, F. Cantrijn, M. de Leon, D. Martin de
Diego, Geometric aspects of classical field theories. Rep. Math. Phys.
56, 387-411 (2005)

[ps]
[pdf]

B. Langerock, Leafwise holonomy in reduction of
nonholonomic systems. Proceedings of the 9th International Conference
on Differential Geometry and Its Applications, Prague, August 30 -
September 3, 2004, 507-516 (2005)

[ps]
[pdf]

T. Mestdag, A Lie algebroid approach to Lagrangian
systems with symmetry. Proceedings of the 9th International Conference
on Differential Geometry and its Applications, Prague, August 30 -
September 3, 2004, 523-535 (2005)

[ps]
[pdf]

W. Sarlet, Adjoint symmetries in non-holonomic
mechanics. Proceedings of the 9th International Conference on
Differential Geometry and its Applications, Prague, August 30 -
September 3, 2004, 537-548 (2005)

[pdf]

D. Krupka, O. Krupkova, G. Prince, W. Sarlet, Contact
symmetries and variational sequences. Proceedings of the
9th International Conference on Differential Geometry and its
Applications, Prague, August 30 - September 3, 2004, 605-615 (2005).

[ps]
[pdf]

T. Mestdag, Lagrangian reduction by stages for
non-holonomic systems in a Lie algebroid framework. J. Phys. A: Math.
Gen. 38, 10157-10179 (2005)

[pdf]

W. Sarlet, D.J. Saunders en F. Cantrijn, Adjoint
symmetries and the generation of first integrals in non-holonomic
mechanics. J. Geom. Phys. 55, 207-225 (2005).

[ps]
[pdf]

T. Mestdag, B. Langerock, A Lie algebroid framework for nonholonomic systems. J. Phys. A: Math. Gen. 38, 1097-1111 (2005).

[ps]
[pdf]

### 2004

T. Mestdag, Generalized connections on affine bundles,
in: K. Tas et al. (eds.), Global Analysis and Applied Math., AIP
Conference Proc. 729 (2004), 232-239.

[ps]
[pdf]

W. Sarlet en F. Vermeire, A class of Poisson-Nijenhuis
structures on a tangent bundle, J. Phys. A.: Math. Gen., 37(24),
6319-6336 (2004)

[pdf]

B. Langerock, Leafwise holonomy of connections over a bundle map, Diff. Geom. Appl., 20(2), 125-143 (2004)

[ps]
[pdf]

### 2003

T. Mestdag and W. Sarlet, The Berwald-type
linearisation of generalised connections, J. Phys. A.: Math. Gen.,
36(29), 8049-8069 (2003)

[ps]
[pdf]

B. Langerock, Optimal control problems with variable
endpoints, Discret. Contin. Dyn. Syst., An expanded volume for the
Wilmington Meeting, May 24-27, 2002, 506-515 (2003).

[ps]
[pdf]

T. Mestdag, Generalised connections on affine Lie algebroids, Rep. Math. Phys., 51(2-3), 297-305 (2003).

[ps]
[pdf]

T. Mestdag, J. Szilasi and V. Toth, On the geometry of generalized metrics, Publ. Math. (Debrecen), 62(3-4), 511-545 (2003)

[ps]
[pdf]

B. Langerock, Autonomous optimal control problems, Rep. Math. Phys., 51(2-3), 259-267 (2003).

[ps]
[pdf]

B. Langerock, Geometric aspects of the Maximum Principle and lifts over a bundle map, Act. Appl. Math. 77(1), 71-104 (2003).

[ps]
[pdf]

B. Langerock, A connection theoretic approach to sub-Riemannian geometry, J. of Geometry and Physics, 46(3-4), 203 - 230 (2003)

[ScienceDirect]
[pdf]
[ps]

### 2002

T. Mestdag, W. Sarlet and E. Martinez, Note on generalised connections and affine bundles,

J. Phys. A: Math. Gen. 35(46), 9843-9856 (2002).

[pdf]
[ps]

J. Cortes, S. Martinez and F. Cantrijn, Skinner-Rusk approach to
time-dependent mechanics

Phys. Lett. A 300, 250-258 (2002)

[ps]

W. Sarlet, T. Mestdag and E. Martinez, Lie algebroid structures on a class of affine bundles

J. Math. Phys. 43(11), 5654-5674 (2002)

[pdf]
[ps]

T. Mestdag and V. Toth, On the geometry of Randers manifolds, Rep. Math. Phys. 50(2), 167-193 (2002).

[ps]

E. Martinez, T. Mestdag and W. Sarlet, Lie algebroid
structures and Lagrangian systems on affine bundles, J. Geom. Phys.
44(1), 70-95 (2002)

[pdf]
[ps]

F. Cantrijn and J. Cortes, Cosymplectic reduction of
constrained systems with symmetry, Rep. Math. Phys. 49 (2/3), 167 - 182
(2002)

[ps]

M. Crampin and W. Sarlet, Bi-quasi-Hamiltonian systems, J. Math. Phys, 43(15), 2505-2517 (2002)

[pdf]
[ps]

W. Sarlet, G. Thompson and G.E. Prince, The inverse
problem in the calculus of variations: the use of geometrical calculus
in Douglas's analysis, Trans. Amer. Math. Soc. 354, 2897-2919 (2002)

[pdf]
[ps]

F. Cantrijn and B. Langerock, Generalized connections over a vector bundle map, Diff. Geom. Appl. 18(3), 295-317 (2002)

[ScienceDirect]
[pdf]
[ps]

B. Langerock, Connections in sub-Riemannian geometry,
Proceedings of the 8th International Conference on Differential Geometry
and Its Applications, Opava, 27-31 August 2001, Part II, Mathematical
Publications 3, Silesian University at Opava, 105-114 (2002)

[pdf]
[ps]

W. Sarlet, T. Mestdag and E. Martinez, Lagrangian
equations on affine Lie algebroids, Proceedings of the 8th
International Conference on Differential Geometry and Its Applications,
Opava, 27-31 August 2001, Part II, Mathematical Publications 3, Silesian
University at Opava, 461-472 (2002)

[pdf]
[ps]

F. Cantrijn, J. Cortes, M. de Leon and D. Martin de Diego, On the geometry of generalized Chaplygin
systems, Math. Proc. Camb. Phil. Soc. 132, 323-351 (2002)

[ps]

### 2001

W. Sarlet and G. Thompson, Complex second-order
differential equations and separability, Special issue "Computational
geometry for differential equations", Appl. Algebra Engrg. Comm. Comput.
11, 333-357 (2001)

[pdf]
[ps]

T. Mestdag and W. Sarlet, The Berwald-type connection
associated to time-dependent second-order differential equations,
Houston J. of Math. 27, 763-797 (2001)

[pdf]
[ps]

W. Sarlet, Different forms of separability of second-order equations, Nonlinear Analysis 47, 6135-6146 (2001)

[pdf]
[ps]

B. Langerock, Nonholonomic mechanics and connections over a bundle map, J. Phys. A, 34 L609-L615 (2001)

[pdf]
[ps]

W. Sarlet and T. Mestdag, Aspects of time-dependent
second-order differential equations: Berwald-type connections, Steps in
Differential Geometry, In: Proc. Coll. Diff. Geometry (Debrecen, July
25-30, 2000), L. Kozma, P. T. Nagy and L. Tamassy (Eds.) 283-293 (2001)

[pdf]
[ps]

M. Crampin and W. Sarlet, A class of non-conservative
Lagrangian systems on Riemannian manifolds, J. Math. Phys. 42,
4313-4326 (2001).

[pdf]
[ps]

### 2000

F. Cantrijn, M. de Leon, J.C. Marrero and D. Martin de
Diego, On almost-Poisson structures in nonholonomic mechanics: II. The
time-dependent framework, Nonlinearity 13, 1379-1409 (2000)

[ps]

W. Sarlet and A. Ramos, Adjoint symmetries, separability, and volume forms, J. Math. Phys. 41, 2877-2888 (2000)

[pdf]
[ps]

W. Sarlet and M. Crampin, Addendum to: The integrability
conditions in the inverse problem of the calculus of variations for
second-order ordinary differential equations, Acta Applicandae
Mathematicae 60, no. 3, 213-224 (2000).

[pdf]
[ps]

M. Crampin, W. Sarlet and G. Thompson, Bi-differential
calculi, bi-Hamiltonian systems and conformal Killing tensors, J. Phys. A
33, 8755-8770 (2000)

[pdf]
[ps]

M. Crampin, W. Sarlet and G. Thompson, Bi-differential calculi and bi-Hamiltonian systems, J. Phys. A 33, L177-L180 (2000)

[pdf]
[ps]

### 1999

F. Cantrijn, M. de Leon and D. Martin de Diego, On
almost-Poisson structures in nonholonomic mechanics, Nonlinearity 12,
721-737 (1999)

[ps]

F. Cantrijn, M. de Leon, J.C. Marrero and D. Martin de
Diego, Reduction of constrained systems with symmetry, J. Math. Phys.
40, 795-820 (1999)

[ps]

F. Cantrijn, A. Ibort and M. de Leon, On the geometry of multisymplectic manifolds, J. Austral. Math. Soc. 66, 303-330 (1999))

[ps]

W. Sarlet, Integrability aspects of the inverse problem of the calculus of variations,
In: Diff. Geometry and Applications, Proc. 7th Int. Conf. Brno (August 10-14, 1998)
J. Slovak and J. Janyska (Eds.), 563-574 (1999)

[pdf]

M. Crampin, G.E. Prince, W. Sarlet and G. Thompson, The
inverse problem of the calculus of variations: separable systems. Acta
Applicandae Mathematicae 57, 239-254 (1999)

[pdf]
[ps]

D. Saunders, F. Cantrijn and W. Sarlet, Regularity
aspects and Hamiltonization of non-holonomic systems, J. Phys. A 32,
6869-6890 (1999)

[pdf]
[ps]

### 1998

F. Cantrijn, M. de Leon, J.C. Marrero and D. Martin de Diego, Reduction of nonholonomic mechanical systems with symmetry, Rep. Math. Phys. 41, 279-299 (1998)

W. Sarlet, R. Sahadevan and F. Cantrijn, Symmetries, separability and volume forms, J. Math. Phys. 39, 5908-5924 (1998)

[pdf]
[ps]

W. Sarlet, M. Crampin and E. Martinez, The integrability
conditions in the inverse problem of the calculus of variations for
second-order ordinary differential equations, Acta Applicaendae
Mathematicae 54, 233-273 (1998)

[pdf]
[ps]

### 1997

W. Sarlet, Construction of adjoint symmetries for
systems of second-order and mixed first- and second-order ordinary
differential equations, Mathematical and Computer Modelling 25, 39-49
(1997)

[pdf]
[ps]

W. Sarlet, F. Cantrijn and D.J. Saunders, A differential geometric setting for mixed first and second-order ordinary
differential equations, J. Phys. A 30, 4031-4052 (1997)

[pdf]
[ps]

W. Sarlet, Complete decoupling of systems of ordinary second-order differential equations,
In: Proc. 4th Workshop on Differential Equations and Chaos (Johannesburg, Jan.
1996), N.H. Ibragimov, F.M. Mahomed, D.P. Mason and D. Sherwell (Eds.) (New Age Int. Lim., New Delhi), 237-264 (1997)

[pdf]

### 1996

F. Cantrijn, W. Sarlet, A. Vandecasteele and E.
Martinez, Complete separability of time-dependent second-order ordinary
differential equations, Acta Applicandae Mathematicae 42, 309-334
(1996)

[pdf]
[ps]

W. Sarlet, A direct geometrical construction of the
dynamics of non-holonomic Lagrangian systems, Extracta Mathematicae 11,
202-212 (1996)

[pdf]
[ps]

W. Sarlet, The geometry of mixed first and second-order differential equations with applications
to non-holonomic mechanics, In: Differential Geometry and Applications, Proc. 6th Int. Conf. Brno (August 28 -
September 1, 1995) J. Janyska, I. Kolar and J. Slovak (Eds.), 641-650 (1996)

[pdf]

M. Crampin, E. Martinez and W. Sarlet, Linear
connections for systems of second-order ordinary differential equations,
Ann. Inst. H. Poincare 65, 223-249 (1996)

[pdf]
[ps]

D.J. Saunders, W. Sarlet and F. Cantrijn, A geometrical framework for the study of non-holonomic Lagrangian systems: II,
J. Phys. A 29, 4265-4274 (1996)

[pdf]
[ps]

F. Cantrijn, L.A. Ibort and M. de Leon, Hamiltonian structures on multisymplectic manifolds, Rend. Sem. Mat. Univ.
Pol. Torino 54, 225-236 (1996)

[ps]

### 1995

W. Sarlet, F. Cantrijn and D.J. Saunders, A geometrical framework for the study of non-holonomic Lagrangian systems, J.
Phys. A 28, 3253-3268 (1995)

[pdf]

W. Sarlet, A. Vandecasteele, F. Cantrijn and E.
Martinez, Derivations of forms along a map: the framework for
time-dependent second-order equations, Diff. Geometry and its
Applications 5, 171-203 (1995)

[pdf]
[ps]

### 1994

W. Sarlet, F. Cantrijn and E. Martinez, Application of the theory of separability of second-order di.erential equations,
J. Nonlinear Math. Phys. 1, 5-24 (1994)

[pdf]

M. Crampin, W. Sarlet, E. Martinez, G.B. Byrnes and G.E. Prince, Towards a geometrical understanding of Douglas's
solution of the inverse problem of the calculus of variations, Inverse Problems 10, 245-260 (1994)

[pdf]
[ps]

### 1993

E. Martinez, J. F. Carinena and W. Sarlet, Geometric characterization of separable second-order differential
equations, Math. Proc. Camb. Phil. Soc. 113, 205-224 (1993)

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F. Cantrijn, Normalized momentum maps and reduction, J. Phys. A 26, 5481-5489 (1993)

W. Sarlet and E. Martinez, Symmetries of second-order differential equations and decoupling, In : Modern Group
Analysis: advanced analytical and computational methods in mathematical physics (Proc. Internat. Workshop, Acireale, October
27-31, 1992), N.H. Ibragimov, M. Torrisi and A. Valenti (Eds.) (Kluwer), 329-335 (1993)

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E. Martinez, J.F. Carinena and W. Sarlet, Derivations of differential
forms along the tangent bundle projection. Part II, Diff. Geometry and its Applications 3, 1-29 (1993)

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### 1992

W. Sarlet and J. Vanden Bonne, REDUCE-procedures for the study of adjoint symmetries of second-order differential equations,
J. Symbolic Computation 13, 683-693 (1992)

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E. Martinez, J.F. Carinena and W. Sarlet, Derivations of differential
forms along the tangent bundle projection, Diff. Geometry and its Applications 2, 17-43 (1992)

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[ps]

F. Cantrijn, M. de Leon and E.A. Lacomba, Gradient vector fields on cosymplectic manifolds, J. Phys. A 25, 175-188 (1992)