Research Explorer

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Researcher

Willy Sarlet

Awards & Distinctions

131 Results

2023

A case study of separability of second-order differential equations

A1 Journal Article in ACTA APPLICANDAE MATHEMATICAE

2022

Compatibility aspects of the method of phase synchronization for decoupling linear second-order differential equations

Willy SarletTom Mestdag

A1 Journal Article in JOURNAL OF GEOMETRIC MECHANICS

2017

A generalization of Szebehely’s inverse problem of dynamics in dimension three

Willy SarletTom MestdagGeoff Prince

A1 Journal Article in REPORTS ON MATHEMATICAL PHYSICS

Intrinsic aspects of Hamilton-Jacobi separability

Goedele WaeyaertFrans CantrijnWilly Sarlet

2014

Lifted tensors and Hamilton-Jacobi separability

Goedele WaeyaertWilly Sarlet

A1 Journal Article in JOURNAL OF GEOMETRY AND PHYSICS

2013

A generalization of Szebehely’s inverse problem of dynamics

Willy SarletTom MestdagGeoff Prince

A1 Journal Article in REPORTS ON MATHEMATICAL PHYSICS

Lifting geometric objects to the dual of the first jet bundle of a bundle fibred over R

Willy SarletGoedele Waeyaert

A1 Journal Article in JOURNAL OF GEOMETRY AND PHYSICS

2012

Driven cofactor systems and Hamilton-Jacobi separability

Willy SarletGoedele Waeyaert

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

Geometric calculus for second-order differential equations and generalizations of the inverse problem of Lagrangian mechanics

A1 Journal Article in INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS

Time-dependent kinetic energy metrics for Lagrangians of electromagnetic type

Willy SarletGeoff PrinceTom MestdagOlga Krupková

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

2011

Second-order dynamical systems of Lagrangian type with dissipation

Tom MestdagWilly SarletMichael Crampin

A1 Journal Article in DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS

The inverse problem for Lagrangian systems with certain non-conservative forces

Tom MestdagWilly SarletMichael Crampin

A1 Journal Article in DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS

2010

Alternative kinetic energy metrics for Lagrangian systems

Willy SarletG Prince

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

Analytical Mechanics. By Antonio Fasano and Stefano Marmi. Oxford Graduate Texts, Oxford University Press, Oxford, 2006. $. xiii+772 pp., hardcover. ISBN 0-19-850802-6

Comment on 'Conservation laws of higher order nonlinear PDEs and the variational conservation laws in the class with mixed derivatives'

Editorial material

On the generalized Helmholtz conditions for Lagrangian systems with dissipative forces

Michael CrampinTom MestdagWilly Sarlet

A1 Journal Article in ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK

2009

Generalized submersiveness of second-order ordinary differential equations

Willy SarletGE PrinceMichael Crampin

A1 Journal Article in JOURNAL OF GEOMETRIC MECHANICS

Linear connections along the tangent bundle projection

2008

Geometric characterization of driven cofactor systems

Willy SarletWouter Vanbiervliet

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

2007

A recursive scheme of first integrals of the geodesic flow of a Finsler manifold

A1 Journal Article in SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS

Contact symmetries of the Helmholtz form

D KrupkaO KrupkovaG PrinceWilly Sarlet

A1 Journal Article in DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS

2006

A class of recursion operators on a tangent bundle

Fien VermeireWilly SarletMichael Crampin

A class of recursion operators on a tangent bundle

Fien VermeireWilly SarletMichael Crampin

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL

An EDS approach to the inverse problem in the calculus of variations

JE AldridgeGE PrinceWilly SarletG Thompson

A1 Journal Article in JOURNAL OF MATHEMATICAL PHYSICS

2005

Adjoint symmetries and the generation of first integrals in non-holonomic mechanics

Willy SarletDJ SaundersFrans Cantrijn

A1 Journal Article in JOURNAL OF GEOMETRY AND PHYSICS

Adjoint symmetries in non-holonomic mechanics

Contact symmetries and variational sequences

D KrupkaO KrupkovaG PrinceWilly Sarlet

2004

A class of Poisson-Nijenhuis structures on a tangent bundle

Willy SarletFien Vermeire

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL

2003

Applied Differential Geometry and Mechanics

Berwald-type connections in time-dependent mechanics and dynamics on affine Lie algebroids

Tom MestdagWilly Sarlet

Lagrangian equations and affine Lie algebroids

The Berwald-type linearization of generalized connections

Tom MestdagWilly Sarlet

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL

2002

Bi-quasi-Hamiltonian systems.

Michael CrampinWilly Sarlet

A1 Journal Article in JOURNAL OF MATHEMATICAL PHYSICS

Lagrangian equations on affine Lie algebroids

Willy SarletTom MestdagE Martinez

Lie algebroid structures and Lagrangian systems on affine bundles

E MartinezTom MestdagWilly Sarlet

A1 Journal Article in JOURNAL OF GEOMETRY AND PHYSICS

Lie algebroid structures on a class of affine bundles.

Willy SarletTom MestdagE Martinez

A1 Journal Article in JOURNAL OF MATHEMATICAL PHYSICS

Note on generalised connections and affine bundles.

Tom MestdagWilly SarletE Martinez

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL

The inverse problem of the calculus of variations: The use of geometrical calculus in Douglas's analysis.

Willy SarletG ThompsonGE Prince

A1 Journal Article in TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

2001

A class of non-conservative Lagrangian systems on Riemannian manifolds.

Michael CrampinWilly Sarlet

A1 Journal Article in JOURNAL OF MATHEMATICAL PHYSICS

Aspects of time-dependent second-order differential equations: Berwald-type connections. Steps in Differential Geometry.

Tom MestdagWilly Sarlet

Complex second-order differential equations and separability

Willy SarletG Thompson

A1 Journal Article in APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING

Different forms of separability of second-order equations.

A1 Journal Article in NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

The Berwald-type connection associated to time-dependent second-order differential equations

Tom MestdagWilly Sarlet

A1 Journal Article in HOUSTON JOURNAL OF MATHEMATIC

2000

Addendum to: The integrability conditions in the inverse problem of the calculus of variations for second-order ordinary differential equations

Willy SarletMichael Crampin

Adjoint symmetries, separability, and volume forms.

Willy SarletA Ramos

A1 Journal Article in JOURNAL OF MATHEMATICAL PHYSICS

Bi-differential calculi and bi-Hamiltonian systems

Michael CrampinWilly SarletG Thompson

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL

Bi-differential calculi, bi-Hamiltonian systems and conformal Killing tensors

Michael CrampinWilly SarletG Thompson

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL

The Berwald connection for time-dependent second-order differential equations and its applications in theoretical mechanics.

Tom MestdagWilly Sarlet

1999

Integrability aspects of the inverse problem of the calculus of variations.

Regularity aspects and Hamiltonization of non-holonomic systems

DJ SaundersFrans CantrijnWilly Sarlet

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL

The inverse problem of the calculus of variations: Separable systems

Michael CrampinGE PrinceWilly SarletG Thompson

A1 Journal Article in ACTA APPLICANDAE MATHEMATICAE

1998

Symmetries, separability and volume forms

Willy SarletR SahadevanFrans Cantrijn

A1 Journal Article in JOURNAL OF MATHEMATICAL PHYSICS

The integrability conditions in the inverse problem of the calculus of variations for second-order ordinary differential equations

Willy SarletMichael CrampinE Martínez

A1 Journal Article in ACTA APPLICANDAE MATHEMATICAE

1997

A differential geometric setting for mixed first- and second-order ordinary differential equations

Willy SarletFrans CantrijnDJ Saunders

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL

Complete decoupling of systems of ordinary second-order differential equations

Construction of adjoint symmetries for systems of second-order and mixed first- and second-order ordinary differential equations

A1 Journal Article in MATHEMATICAL AND COMPUTER MODELLING

The geometry of a class of mechanical systems with non-holonomic constraints

1996

A direct geometrical construction of the dynamics of non-holonomic Lagrangian systems

A geometrical framework for the study of non-holonomic Lagrangian systems .2.

DJ SaundersWilly SarletFrans Cantrijn

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL

Complete separability of time-dependent second-order ordinary differential equations.

Frans CantrijnWilly SarletAnn VandecasteeleE Martinez

A1 Journal Article in ACTA APPLICANDAE MATHEMATICAE

Een theorie van afleidingsoperatoren op differentiaalvormen langs een afbeelding, met toepassingen op de studie van stelsels tweede-orde differentiaalvergelijkingen

Ann VandecasteeleWilly SarletF. Cantrijn

Linear connections for systems of second-order ordinary differential equations

Michael CrampinE MartinezWilly Sarlet

A1 Journal Article in ANNALES DE L INSTITUT HENRI POINCARE-PHYSIQUE THEORIQUE

Separability of time-dependent second-order equations

The geometry of mixed first and second-order differential equations with applications to non-holonomic mechanics

1995

A geometrical framework for the study of non-holonomic Lagrangian systems

Willy SarletFrans CantrijnDJ Saunders

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL

Derivations of forms along a map: the framework for time-dependent second-order equations

Willy SarletAnn VandecasteeleFrans CantrijnE Martinez

A1 Journal Article in DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS

1994

Application of the theory of separability of second-order differential equations

Willy SarletFrans CantrijnE Martínez

A2 Journal Article in JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS

Towards a geometrical understanding of Douglas's solution of the inverse problem of the calculus of variations

M CrampinWilly SarletE MartínezGB ByrnesGE Prince

A1 Journal Article in INVERSE PROBLEMS

1993

Calculus of forms along a map adapted to the study of second-order differential equations

Willy SarletE MartinezAnn Vandecasteele

Derivations of differential forms along the tangent bundle projection, II

E MartinezJ CarinenaWilly Sarlet

A1 Journal Article in DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS

Geometric characterization of separable 2nd-order differential equations

E MartinezJ CarinenaWilly Sarlet

A1 Journal Article in MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY

Symmetries of second-order differential equations and decoupling

Willy SarletE Martinez

1992

Derivations of differential forms along the tangent bundle projection

E MartinezJ CarinenaWilly Sarlet

REDUCE-procedures for the study of adjoint symmetries of second-order differential equations

Willy SarletJ Vandenbonne

A1 Journal Article in JOURNAL OF SYMBOLIC COMPUTATION

Separability of second-order differential equations

Willy SarletE Martinez

1991

Derivations of semi-basic forms and symmetries of second-order equations

Willy SarletE. Martínez

New aspects of integrability of generalized Hénon-Heiles systems

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL

1990

A REDUCE assisted search for first integrals via adjoint symmetries of differential equations

Adjoint symmetries for time-dependent second-order equations

Willy SarletGE PrinceM Crampin

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL

Adjoint symmetries of second-order differential equations and generalizations

1989

The canonical isomorphism between TkT∗M and T*TkM

Frans CantrijnMichael CrampinWilly SarletDavid Saunders

A1 Journal Article in COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE II

1988

Contribution to the study of symmetries, first integrals and the inverse problem of the calculus of variations in theoretical mechanics

Bookchapter in Academiae Analecta

1987

Evading the inverse problem for second-order ordinary differential equations by using additional variables

Frans CantrijnMichael CrampinWilly Sarlet

A1 Journal Article in INVERSE PROBLEMS

Geometrical aspects of second-order equations and Lagrangian mechanics

Lifting geometric objects to a cotangent bundle, and the geometry of the cotangent bundle of a tangent bundle

Michael CrampinFrans CantrijnWilly Sarlet

A2 Journal Article in JOURNAL OF GEOMETRY AND PHYSICS

Pseudo-symmetries, Noether's theorem and the adjoint equation

Willy SarletFrans CantrijnMichael Crampin

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL

Symmetries of nonlinear differential equations and linearisation

Willy SarletFM MahomedPGL Leach

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL

1986

Geometrical structures related to second-order equations

Higher-order differential equations and higher-order lagrangian mechanics

Michael CrampinWilly SarletFrans Cantrijn

A1 Journal Article in MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY

1985

A characterisation of higher-order Noether symmetries

Willy SarletMichael Crampin

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL

First integrals versus configurational invariants and a weak form of complete integrability

Willy SarletPGL LeachFrans Cantrijn

A1 Journal Article in PHYSICA D

Some recent results on symmetries of Lagrangian systems re-examined

Willy SarletMichael Crampin

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL

Symmetries and alternative lagrangians in higher-order mechanics

A1 Journal Article in PHYSICS LETTERS A

1984

A new look at second-order equations and Lagrangian mechanics

Willy SarletFrans CantrijnMichael Crampin

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL

First integrals for some nonlinear time‐dependent Hamiltonian systems

PGL LeachHR LewisWilly Sarlet

A1 Journal Article in JOURNAL OF MATHEMATICAL PHYSICS

Special symmetries for Lagrangian systems and their analogues in nonconservative mechanics

Willy SarletFrans Cantrijn

1983

First integrals for one-dimensional particle motion in a non-linear, time-dependent potential field

A1 Journal Article in INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS

Noether's theorem and the inverse problem of Lagrangian mechanics

Note on Vujanovic’ Hamilton-Jacobi method for Hamilton equations with nonconservative forces

A2 Journal Article in THEORETICAL AND APPLIED MECHANICS

Note on equivalent Lagrangians and symmetries

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL

Note on linear systems derivable from a variational principle

A1 Journal Article in PHYSICS LETTERS A

Symmetries and the inverse problem of Lagrangian dynamics for linear systems

A1 Journal Article in JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS

Symmetries, first integrals, and the inverse problem of Lagrangian mechanics. II

Willy SarletFrans Cantrijn

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL

Symplectische variëteiten en Hamiltoniaanse mechanica

1982

A generalization of the nonlinear superposition idea for Ermakov systems

Willy SarletFrans Cantrijn

A1 Journal Article in PHYSICS LETTERS A

The Helmholtz conditions revisited : a new approach to the inverse problem of Lagrangian dynamics

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL

Time-dependent linear systems derivable from a variational principle

Willy SarletE EngelsLY Bahar

A1 Journal Article in INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE

1981

Classification scheme for two‐dimensional Ermakov‐type systems and generalizations

Willy SarletJR Ray

A1 Journal Article in JOURNAL OF MATHEMATICAL PHYSICS

First integrals and the inverse problem of Lagrangian mechanics

Further generalization of Ray-Reid systems

A1 Journal Article in PHYSICS LETTERS A

Generalizations of Noether’s theorem in classical mechanics

Willy SarletFrans Cantrijn

A1 Journal Article in SIAM REVIEW

Higher-order Noether symmetries and constants of the motion

Willy SarletFrans Cantrijn

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL

Quadratic integrals for linear nonconservative systems and their connection with the inverse problem of Lagrangian dynamics

Willy SarletLY Bahar

A1 Journal Article in INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS

Symmetries and conservation laws for generalized hamiltonian systems

Frans CantrijnWilly Sarlet

A1 Journal Article in INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS

Symmetries, first integrals and the inverse problem of Lagrangian mechanics

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL

1980

A direct construction of first integrals for certain non-linear dynamical systems

Willy SarletLY Bahar

A1 Journal Article in INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS

Note on symmetries and invariants for second-order ordinary differential equations

Frans CantrijnWilly Sarlet

A1 Journal Article in PHYSICS LETTERS A

On linear non-conservative systems derivable from a variational principle

A1 Journal Article in HADRONIC JOURNAL

1979

Structure and classification of matrices characterizing jointly lie-admissible brackets and symplectic-admissible 2-forms

A1 Journal Article in HADRONIC JOURNAL

Transition between 2nd-order and 1st-order systems within the context of the inverse problem of Newtonian mechanics

A1 Journal Article in HADRONIC JOURNAL

1978

Asymptotic convergence of averaging methods : comparative study of different proofs and results

A4 Journal Article in Simon Stevin : wis- en natuurkundig tijdschrift

Canonical transformations and the Hamilton-Jacobi problem for general first-order systems derivable from a variational principle

Willy SarletFrans Cantrijn

A2 Journal Article in HADRONIC JOURNAL

Exact invariants for time-dependent Hamiltonian systems with one degree-of-freedom

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL

Invariance and conservation laws for Lagrangian systems with one degree of freedom

A1 Journal Article in JOURNAL OF MATHEMATICAL PHYSICS

On a common derivation of the averaging method and the two-timescale method

A1 Journal Article in CELESTIAL MECHANICS

On some aspects of the inverse problem for general first order systems

Willy SarletFrans Cantrijn

A2 Journal Article in HADRONIC JOURNAL

1977

Exact invariant for a two-dimensional harmonic oscillator with time-dependent frequency

Bookchapter in Abhandlungen Der Akademie Der Wissenschaften Der DDR : Abteilung Mathematik, Naturwissenschaften, Technik

1975

Class of Hamiltonians with one degree-of-freedom allowing application of Kruskal's asymptotic theory in closed form. I

A1 Journal Article in ANNALS OF PHYSICS

Class of Hamiltonians with one degree-of-freedom allowing application of Kruskal's asymptotic theory in closed form. II

A1 Journal Article in ANNALS OF PHYSICS

On the necessary and sufficient conditions for canonical transformations

Willy SarletE. Engels

A4 Journal Article in Simon Stevin : wis- en natuurkundig tijdschrift

1973

General solution and invariants for a class of Lagrangian equations governed by a velocity-dependent potential energy

E EngelsWilly Sarlet

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL