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Researcher
Tom Mestdag
Profile
Projects
Publications
Activities
Awards & Distinctions
55
Results
2022
Compatibility aspects of the method of phase synchronization for decoupling linear second-order differential equations
Willy Sarlet
Tom Mestdag
A1
Journal Article
in
JOURNAL OF GEOMETRIC MECHANICS
2022
Nonlinear splittings on fibre bundles
S. Hajdu
Tom Mestdag
A1
Journal Article
in
ANALYSIS AND MATHEMATICAL PHYSICS
2022
2021
Jacobi fields and conjugate points for a projective class of sprays
S. Hajdu
Tom Mestdag
A1
Journal Article
in
MEDITERRANEAN JOURNAL OF MATHEMATICS
2021
2020
Conjugate points for systems of second-order ordinary differential equations
S. Hajdu
Tom Mestdag
A1
Journal Article
in
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS
2020
2017
A generalization of Szebehely’s inverse problem of dynamics in dimension three
Willy Sarlet
Tom Mestdag
Geoff Prince
A1
Journal Article
in
REPORTS ON MATHEMATICAL PHYSICS
2017
2016
Finsler geodesics of Lagrangian systems through Routh reduction
Tom Mestdag
A1
Journal Article
in
MEDITERRANEAN JOURNAL OF MATHEMATICS
2016
Implicit Lagrange-Routh equations and Dirac reduction
Eduardo Garcia Toraño Andres
Tom Mestdag
Hiroaki Yoshimura
A1
Journal Article
in
JOURNAL OF GEOMETRY AND PHYSICS
2016
The inverse problem of the calculus of variations and the stabilization of controlled Lagrangian systems
Marta Farré Puiggalí
Tom Mestdag
A1
Journal Article
in
SIAM JOURNAL ON CONTROL AND OPTIMIZATION
2016
Un-reduction of systems of second-order ordinary differential equations
Eduardo García-Toraño Andrés
Tom Mestdag
A1
Journal Article
in
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS
2016
2015
Symmetry reduction, integrability and reconstruction in k-symplectic field theory
Lucia Búa
Tom Mestdag
Modesto Salgado
A1
Journal Article
in
JOURNAL OF GEOMETRIC MECHANICS
2015
2014
A class of Finsler surfaces whose geodesics are circles
Michael Crampin
Tom Mestdag
A1
Journal Article
in
PUBLICATIONES MATHEMATICAE-DEBRECEN
2014
Reduced dynamics and Lagrangian submanifolds of symplectic manifolds
Eduardo Garcia Toraño Andres
Elisa Guzman
Juan Carlos Marrero
Tom Mestdag
A1
Journal Article
in
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
2014
2013
A generalization of Szebehely’s inverse problem of dynamics
Willy Sarlet
Tom Mestdag
Geoff Prince
A1
Journal Article
in
REPORTS ON MATHEMATICAL PHYSICS
2013
Hilbert forms for a Finsler metrizable projective class of sprays
Michael Crampin
Tom Mestdag
David J Saunders
A1
Journal Article
in
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS
2013
2012
The multiplier approach to the projective Finsler metrizability problem
Michael Crampin
Tom Mestdag
David J Saunders
A1
Journal Article
in
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS
2012
Time-dependent kinetic energy metrics for Lagrangians of electromagnetic type
Willy Sarlet
Geoff Prince
Tom Mestdag
Olga Krupková
A1
Journal Article
in
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
2012
2011
Geometry of nonholonomically constrained systems by R. Cushman, H. Duistermaat and J. Śniatycki. Advanced Series in Nonlinear Dynamics, vol. 26, World Scientific, 2010
Tom Mestdag
Bookreview
2011
Involutive distributions and dynamical systems of second-order type
Tom Mestdag
Michael Crampin
A1
Journal Article
in
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS
2011
Reduction of invariant constrained systems using anholonomic frames
Michael Crampin
Tom Mestdag
A1
Journal Article
in
JOURNAL OF GEOMETRIC MECHANICS
2011
Routh reduction by stages
Bavo Langerock
Tom Mestdag
Joris Vankerschaver
A1
Journal Article
in
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS
2011
Second-order dynamical systems of Lagrangian type with dissipation
Tom Mestdag
Willy Sarlet
Michael Crampin
A1
Journal Article
in
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS
2011
The Cartan form for constrained Lagrangian systems and the nonholonomic Noether theorem
Michael Crampin
Tom Mestdag
A1
Journal Article
in
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS
2011
The inverse problem for Lagrangian systems with certain non-conservative forces
Tom Mestdag
Willy Sarlet
Michael Crampin
A1
Journal Article
in
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS
2011
2010
Anholonomic frames in constrained dynamics
Michael Crampin
Tom Mestdag
A1
Journal Article
in
DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL
2010
Nonholonomic systems as restricted Euler-Lagrange systems
Tom Mestdag
Michael Crampin
A1
Journal Article
in
BALKAN JOURNAL OF GEOMETRY AND ITS APPLICATIONS
2010
On the generalized Helmholtz conditions for Lagrangian systems with dissipative forces
Michael Crampin
Tom Mestdag
Willy Sarlet
A1
Journal Article
in
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
2010
2009
A generalization of Chaplygin's Reducibility Theorem
Oscar E Fernandez
Tom Mestdag
Anthony M Bloch
A1
Journal Article
in
REGULAR & CHAOTIC DYNAMICS
2009
Hamiltonization and geometric integration of nonholonomic mechanical systems
Tom Mestdag
Anthony Bloch
Oscar Fernandez
C1
Conference
2009
Hamiltonization of nonholonomic systems and the inverse problem of the calculus of variations
Anthony M. Bloch
Oscar E. Fernandez
Tom Mestdag
A1
Journal Article
in
Reports on Mathematical Physics
2009
Reduction and Reconstruction Aspects of Second-Order Dynamical Systems with Symmetry
Michael Crampin
Tom Mestdag
A1
Journal Article
in
Acta Applicandae Mathematicae
2009
Second-order differential equation fields with symmetry
Michael Crampin
Tom Mestdag
C1
Conference
2009
2008
Invariant Lagrangians, mechanical connections and the Lagrange-Poincare equations
Tom Mestdag
Michael Crampin
A1
Journal Article
in
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
2008
Relative equilibria of Lagrangian systems with symmetry
Michael Crampin
Tom Mestdag
A1
Journal Article
in
JOURNAL OF GEOMETRY AND PHYSICS
2008
Routh's procedure for non-Abelian symmetry groups
Michael Crampin
Tom Mestdag
A1
Journal Article
in
JOURNAL OF MATHEMATICAL PHYSICS
2008
The Pontryagin maximum principle applied to nonholonomic mechanics
Oscar E Fernandez
Anthony M Bloch
Tom Mestdag
P1
Conference
2008
The inverse problem for invariant Lagrangians on a lie group
Michael Crampin
Tom Mestdag
A1
Journal Article
in
JOURNAL OF LIE THEORY
2008
2007
A connection-theoretic approach to reduction of second-order dynamical systems with symmetry
Tom Mestdag
Michael Crampin
C1
Conference
2007
Relative equilibria of invariant Lagrangian systems on a Lie group
Tom Mestdag
Bookchapter
in
Differential geometric methods in mechanics and field theory.
2007
2005
A Lie algebroid approach to Lagrangian systems with symmetry
Tom Mestdag
C1
Conference
2005
A Lie algebroid framework for non-holonomic systems
Tom Mestdag
Bavo Langerock
A1
Journal Article
in
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
2005
Lagrangian reduction by stages for non-holonomic systems in a Lie algebroid framework
Tom Mestdag
A1
Journal Article
in
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
2005
2004
Generalized connections on affine bundles
Tom Mestdag
P1
Conference
2004
Generalized connections on affine bundles
Tom Mestdag
C1
Conference
2004
2003
Berwald-type connections in time-dependent mechanics and dynamics on affine Lie algebroids
Tom Mestdag
Willy Sarlet
Dissertation
2003
Generalised connections on affine Lie algebroids.
Tom Mestdag
A1
Journal Article
in
REPORTS ON MATHEMATICAL PHYSICS
2003
On the geometry of generalized metrics
Tom Mestdag
J Szilasi
V Toth
A1
Journal Article
in
PUBLICATIONES MATHEMATICAE-DEBRECEN
2003
The Berwald-type linearization of generalized connections
Tom Mestdag
Willy Sarlet
A1
Journal Article
in
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
2003
2002
Lagrangian equations on affine Lie algebroids
Willy Sarlet
Tom Mestdag
E Martinez
C1
Conference
2002
Lie algebroid structures and Lagrangian systems on affine bundles
E Martinez
Tom Mestdag
Willy Sarlet
A1
Journal Article
in
JOURNAL OF GEOMETRY AND PHYSICS
2002
Lie algebroid structures on a class of affine bundles.
Willy Sarlet
Tom Mestdag
E Martinez
A1
Journal Article
in
JOURNAL OF MATHEMATICAL PHYSICS
2002
Note on generalised connections and affine bundles.
Tom Mestdag
Willy Sarlet
E Martinez
A1
Journal Article
in
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
2002
On the geometry of Randers manifolds.
Tom Mestdag
A1
Journal Article
in
REPORTS ON MATHEMATICAL PHYSICS
2002
2001
Aspects of time-dependent second-order differential equations: Berwald-type connections. Steps in Differential Geometry.
Tom Mestdag
Willy Sarlet
C1
Conference
2001
The Berwald-type connection associated to time-dependent second-order differential equations
Tom Mestdag
Willy Sarlet
A1
Journal Article
in
HOUSTON JOURNAL OF MATHEMATIC
2001
2000
The Berwald connection for time-dependent second-order differential equations and its applications in theoretical mechanics.
Tom Mestdag
Willy Sarlet
C1
Conference
2000