Edit Profile (opens in new tab) Sarlet, Willy Compute Distance To: Compute Author ID: sarlet.willy Published as: Sarlet, W.; Sarlet, Willy Documents Indexed: 104 Publications since 1975 1 Further Contribution Reviewing Activity: 174 Reviews Co-Authors: 24 Co-Authors with 76 Joint Publications 371 Co-Co-Authors all top 5 Co-Authors 28 single-authored 23 Cantrijn, Frans 22 Crampin, Mike 16 Martínez Fernández, Eduardo 14 Mestdag, Tom 13 Prince, Geoff E. 6 Saunders, David J. 6 Thompson, Gerard 3 Bahar, Leon Y. 3 Cariñena, José F. 3 Leach, Peter Gavin Lawrence 3 Rossi, Olga 3 Vandecasteele, A. 3 Waeyaert, G. 2 Engels, Eric 2 Krupka, Demeter 2 Lewis, H. Ralph 2 Vermeire, F. 1 Aldridge, J. E. 1 Atanackovic, Teodor M. 1 Benenti, Sergio 1 Byrnes, Graham B. 1 Capodanno, Pierre 1 Đukić, Đorđe Slavka 1 Francaviglia, Mauro 1 Henneaux, Marc 1 Kalnins, Ernest G. 1 Kharlamov, Mikhail Pavlovich 1 Kharlamov, Pavel Vasil’evich 1 Lacomba, Ernesto A. 1 Leach, P. G. L. 1 Lichnerowicz, Andre 1 Losco, Lucette 1 Magri, Franco 1 Mahomed, Fazal M. 1 Mei, Fengxiang 1 Miller, Willard jun. 1 Morosi, Carlo 1 Novikov, Sergeĭ Petrovich 1 Pignedoli, Antonio 1 Pironneau, Y. 1 Ray, John R. 1 Roubanovsky, V. N. 1 Rumyantsev, Valentin Vital’evich 1 Sahadevan, Ramajayam 1 Salvadori, Luigi 1 Schiehlen, Werner O. 1 Schräpel, H. D. 1 Sedov, Leonid Ivanovich 1 Sumbatov, A. S. 1 Sutela, Tytti 1 Vanbiervliet, W. 1 Vanden Bonne, J. 1 Wittenburg, Jens Peter all top 5 Serials 22 Journal of Physics A: Mathematical and General 10 Journal of Mathematical Physics 6 Differential Geometry and its Applications 5 Hadronic Journal 5 Journal of Geometry and Physics 5 Journal of Physics A: Mathematical and Theoretical 3 International Journal of Non-Linear Mechanics 3 Acta Applicandae Mathematicae 2 Inverse Problems 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Reports on Mathematical Physics 2 Simon Stevin 2 Annals of Physics 2 Journal of Geometric Mechanics 1 Houston Journal of Mathematics 1 International Journal of Engineering Science 1 International Journal of Theoretical Physics 1 Journal of the Australian Mathematical Society, Series B 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Transactions of the American Mathematical Society 1 Teorijska i Primenjena Mehanika 1 Physica D 1 Journal of Symbolic Computation 1 Mathematical and Computer Modelling 1 Celestial Mechanics 1 SIAM Review 1 Comptes Rendus de l’Académie des Sciences. Série II 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 Applicable Algebra in Engineering, Communication and Computing 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Journal of Nonlinear Mathematical Physics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications all top 5 Fields 72 Mechanics of particles and systems (70-XX) 45 Dynamical systems and ergodic theory (37-XX) 33 Ordinary differential equations (34-XX) 33 Global analysis, analysis on manifolds (58-XX) 28 Differential geometry (53-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 2 Mechanics of deformable solids (74-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 85 Publications have been cited 798 times in 451 Documents Cited by ▼ Year ▼ Generalizations of Noether’s theorem in classical mechanics. Zbl 0474.70014Sarlet, Willy; Cantrijn, Frans 93 1981 The Helmholtz conditions revisited. A new approach to the inverse problem of Lagrangian dynamics. Zbl 0537.70018Sarlet, W. 43 1982 Higher-order differential equations and higher-order Lagrangian mechanics. Zbl 0609.58049Crampin, M.; Sarlet, W.; Cantrijn, F. 43 1986 A geometrical framework for the study of non-holonomic Lagrangian systems. Zbl 0858.70013Sarlet, W.; Cantrijn, F.; Saunders, D. J. 35 1995 Linear connections for systems of second-order ordinary differential equations. Zbl 0912.58002Crampin, M.; Martínez, E.; Sarlet, W. 26 1996 A geometrical framework for the study of non-holonomic Lagrangian systems: II. Zbl 0900.70196Saunders, D. J.; Sarlet, W.; Cantrijn, F. 25 1996 Towards a geometrical understanding of Douglas’s solution of the inverse problem of the calculus of variations. Zbl 0826.58015Crampin, M.; Sarlet, W.; Martínez, E.; Byrnes, G. B.; Prince, G. E. 25 1994 A new look at second-order equations and Lagrangian mechanics. Zbl 0542.58011Sarlet, W.; Cantrijn, F.; Crampin, M. 23 1984 Symmetries of nonlinear differential equations and linearisation. Zbl 0625.34044Sarlet, W.; Mahomed, F. M.; Leach, P. G. L. 23 1987 Lie algebroid structures and Lagrangian systems on affine bundles. Zbl 1010.37032Martínez, Eduardo; Mestdag, Tom; Sarlet, Willy 22 2002 Derivations of differential forms along the tangent bundle projection. II. Zbl 0770.53018Martínez, E.; Cariñena, J. F.; Sarlet, W. 20 1993 Derivations of differential forms along the tangent bundle projection. Zbl 0748.58002Martínez, E.; Cariñena, J. F.; Sarlet, W. 19 1992 A class of nonconservative Lagrangian systems on Riemannian manifolds. Zbl 1063.70012Crampin, M.; Sarlet, W. 19 2001 The integrability conditions in the inverse problem of the calculus of variations for second-order ordinary differential equations. Zbl 0922.58031Sarlet, W.; Crampin, M.; Martínez, E. 17 1998 Adjoint symmetries for time-dependent second-order equations. Zbl 0713.58018Sarlet, W.; Prince, G. E.; Crampin, M. 16 1990 Pseudo-symmetries, Noether’s theorem and the adjoint equation. Zbl 0623.58045Sarlet, W.; Cantrijn, F.; Crampin, M. 16 1987 First integrals versus configurational invariants and a weak form of complete integrability. Zbl 0581.58025Sarlet, W.; Leach, P. G. L.; Cantrijn, F. 15 1985 The inverse problem of the calculus of variations: The use of geometrical calculus in Douglas’s analysis. Zbl 1038.37044Sarlet, W.; Thompson, G.; Prince, G. E. 15 2002 Derivations of forms along a map: The framework for time-dependent second-order equations. Zbl 0831.58003Sarlet, W.; Vandecasteele, A.; Cantrijn, F.; Martínez, E. 14 1995 Bi-differential calculi, bi-Hamiltonian systems and conformal Killing tensors. Zbl 0967.37035Crampin, M.; Sarlet, W.; Thompson, G. 14 2000 A direct construction of first integrals for certain non-linear dynamical systems. Zbl 0437.34040Sarlet, W.; Bahar, L. Y. 12 1980 Lie algebroid structures on a class of affine bundles. Zbl 1060.58014Sarlet, W.; Mestdag, T.; Martínez, E. 12 2002 Geometric characterization of separable second-order differential equations. Zbl 0803.34010Martínez, Eduardo; Cariñena, José F.; Sarlet, Willy 11 1993 Higher-order Noether symmetries and constants of the motion. Zbl 0464.58010Sarlet, Willy; Cantrijn, Frans 10 1981 Contact symmetries of the Helmholtz form. Zbl 1354.58012Krupka, Demeter; Krupková, Olga; Prince, Geoff; Sarlet, Willy 10 2007 Symmetries, first integrals and the inverse problem of Lagrangian mechanics. Zbl 0484.70019Sarlet, Willy 9 1981 First integrals for some nonlinear time-dependent Hamiltonian systems. Zbl 0564.70018Leach, P. G. L.; Lewis, H. R.; Sarlet, W. 9 1984 Bi-differential calculi and bi-Hamiltonian systems. Zbl 0989.37063Crampin, M.; Sarlet, W.; Thompson, G. 9 2000 The canonical isomorphism between \(T^ kT^*M\) and \(T^*T^ kM\). Zbl 0702.58006Cantrijn, Frans; Crampin, Mike; Sarlet, Willy; Saunders, David 8 1989 On the generalized Helmholtz conditions for Lagrangian systems with dissipative forces. Zbl 1241.70022Crampin, Mike; Mestdag, Tom; Sarlet, Willy 8 2010 Class of Hamiltonians with one degree-of-freedom allowing application of Kruskal’s asymptotic theory in closed form. II. Zbl 0363.70017Sarlet, Willy 8 1975 The inverse problem of the calculus of variations: Separable systems. Zbl 0935.49017Crampin, M.; Prince, G. E.; Sarlet, W.; Thompson, G. 7 1999 Lifting geometric objects to a cotangent bundle, and the geometry of the cotangent bundle of a tangent bundle. Zbl 0699.53042Crampin, M.; Cantrijn, F.; Sarlet, W. 7 1987 Bi-quasi-Hamiltonian systems. Zbl 1059.37038Crampin, M.; Sarlet, W. 7 2002 New aspects of integrability of generalized Hénon-Heiles systems. Zbl 0762.58016Sarlet, W. 6 1991 Quadratic integrals for linear nonconservative systems and their connection with the inverse problem of Lagrangian dynamics. Zbl 0489.70006Sarlet, Willy; Bahar, Leon Y. 6 1981 Classification scheme for two-dimensional Ermakov-type systems and generalizations. Zbl 0493.70028Sarlet, W.; Ray, J. R. 6 1981 The Berwald-type connection associated to time-dependent second-order differential equations. Zbl 1003.58005Mestdag, T.; Sarlet, W. 6 2001 A differential geometric setting for mixed first- and second-order ordinary differential equations. Zbl 0932.37040Sarlet, W.; Cantrijn, F.; Saunders, D. J. 6 1997 Symmetries and conservation laws for generalized Hamiltonian systems. Zbl 0471.70017Cantrijn, F.; Sarlet, W. 5 1981 Complete separability of time-dependent second-order ordinary differential equations. Zbl 0842.34009Cantrijn, F.; Sarlet, W.; Vandecasteele, A.; Martínez, E. 5 1996 Note on equivalent Lagrangians and symmetries. Zbl 0514.58014Sarlet, Willy 5 1983 Invariance and conservation laws for Lagrangian systems with one degree of freedom. Zbl 0388.70018Sarlet, Willy 5 1978 Lagrangian equations on affine Lie algebroids. Zbl 1109.70304Sarlet, W.; Mestdag, T.; Martínez, E. 5 2001 Time-dependent linear systems derivable from a variational principle. Zbl 0477.34006Sarlet, W.; Engels, E.; Bahar, L. Y. 4 1982 Evading the inverse problem for second-order ordinary differential equations by using additional variables. Zbl 0616.34008Cantrijn, F.; Crampin, M.; Sarlet, W. 4 1987 On a common derivation of the averaging method and the two-timescale method. Zbl 0389.34038Sarlet, Willy 4 1978 Generalized submersiveness of second-order ordinary differential equations. Zbl 1191.37033Sarlet, W.; Prince, G. E.; Crampin, M. 4 2009 Second-order dynamical systems of Lagrangian type with dissipation. Zbl 1222.70017Mestdag, T.; Sarlet, W.; Crampin, M. 4 2011 An EDS approach to the inverse problem in the calculus of variations. Zbl 1112.58016Aldridge, J. E.; Prince, G. E.; Sarlet, W.; Thompson, G. 4 2006 Linear connections along the tangent bundle projection. Zbl 1208.53018Sarlet, W. 4 2009 The inverse problem for Lagrangian systems with certain non-conservative forces. Zbl 1330.70074Mestdag, T.; Sarlet, W.; Crampin, M. 4 2011 Lifting geometric objects to the dual of the first jet bundle of a bundle fibred over \(\mathbb R\). Zbl 1283.58004Sarlet, W.; Waeyaert, G. 4 2013 On linear nonconservative systems derivable from a variational principle. Zbl 0441.70025Sarlet, Willy 3 1980 Symmetries, first integrals, and the inverse problem of Langrangian mechanics. II. Zbl 0542.70020Sarlet, Willy; Cantrijn, Frans 3 1983 First integrals for one-dimensional particle motion in a non-linear, time-dependent potential field. Zbl 0545.70008Sarlet, W. 3 1983 A recursive scheme of first integrals of the geodesic flow of a Finsler manifold. Zbl 1138.53064Sarlet, Willy 3 2007 Geometrical structures related to second-order equations. Zbl 0635.58017Sarlet, W. 3 1987 Note on generalized connections and affine bundles. Zbl 1056.53015Mestdag, T.; Sarlet, W.; Martínez, E. 3 2002 Contact symmetries and variational sequences. Zbl 1115.49035Krupka, Demeter; Krupková, Olga; Prince, Geoff; Sarlet, Willy 3 2005 Comment on ‘Conservation laws of higher order nonlinear PDEs and the variational conservation laws in the class with mixed derivatives’. Zbl 1214.35061Sarlet, W. 3 2010 REDUCE-procedures for the study of adjoint symmetries of second-order differential equations. Zbl 0752.68047Sarlet, W.; Vanden Bonne, J. 2 1992 On some aspects of the inverse problem for general first order systems. Zbl 0446.34017Sarlet, Willy; Cantrijn, Frans 2 1978 Aspects of time-dependent second-order differential equations: Berwald-type connections. Zbl 1037.53009Sarlet, W.; Mestdag, T. 2 2001 Adjoint symmetries and the generation of first integrals in non-holonomic mechanics. Zbl 1093.37026Sarlet, W.; Saunders, D. J.; Cantrijn, F. 2 2005 On the transition between second-order and first-order systems within the context of the inverse problem of Newtonian mechanics. Zbl 0497.70006Sarlet, Willy 2 1979 Special symmetries for Lagrangian systems and their analogues in nonconservative mechanics. Zbl 0563.70021Sarlet, W.; Cantrijn, F. 2 1984 Some recent results on symmetries of Lagrangian systems re-examined. Zbl 0579.70018Sarlet, W.; Crampin, M. 2 1985 Regularity aspects and Hamiltonization of nonholonomic systems. Zbl 0978.70014Saunders, D. J.; Cantrijn, F.; Sarlet, W. 2 1999 Adjoint symmetries of second-order differential equations and generalizations. Zbl 0787.58018Sarlet, W. 2 1990 Canonical transformations and the Hamilton-Jacobi problem for general first-order systems derivable from a variational principle. Zbl 0449.34025Sarlet, Willy; Cantrijn, Frans 1 1978 The geometry of mixed first and second-order differential equations with applications to non-holonomic mechanics. Zbl 0862.58046Sarlet, W. 1 1996 A class of recursion operators on a tangent bundle. Zbl 1130.53058Vermeire, F.; Sarlet, W.; Crampin, M. 1 2006 Complex second-order differential equations and separability. Zbl 1074.53022Sarlet, W.; Thompson, G. 1 2001 Adjoint symmetries, separability, and volume forms. Zbl 0990.37043Sarlet, W.; Ramos, A. 1 2000 Symmetries and the inverse problem of Lagrangian dynamics for linear systems. Zbl 0523.70022Sarlet, W. 1 1983 Note on Vujanović’ Hamilton-Jacobi method for Hamilton equations with nonconservative forces. Zbl 0556.70017Sarlet, Willy 1 1983 A characterisation of higher-order Noether symmetries. Zbl 0574.58013Sarlet, W.; Crampin, M. 1 1985 Different forms of separability of second-order equations. Zbl 1042.34508Sarlet, W. 1 2001 Application of the theory of separability of second-order differential equations. Zbl 0966.34003Sarlet, W.; Cantrijn, F.; Martínez, E. 1 1994 Construction of adjoint symmetries for systems of second-order and mixed first- and second-order ordinary differential equations. Zbl 0881.34008Sarlet, W. 1 1997 Driven cofactor systems and Hamilton-Jacobi separability. Zbl 1341.37032Sarlet, W.; Waeyaert, G. 1 2012 Symmetries, separability and volume forms. Zbl 0927.37014Sarlet, W.; Sahadevan, R.; Cantrijn, F. 1 1998 Class of Hamiltonians with one degree-of-freedom allowing application of Kruskal’s asymptotic theory in closed form. I. Zbl 0363.70016Sarlet, Willy 1 1975 A generalization of Szebehely’s inverse problem of dynamics. Zbl 1391.70048Sarlet, W.; Mestdag, T.; Prince, G. 1 2013 Lifting geometric objects to the dual of the first jet bundle of a bundle fibred over \(\mathbb R\). Zbl 1283.58004Sarlet, W.; Waeyaert, G. 4 2013 A generalization of Szebehely’s inverse problem of dynamics. Zbl 1391.70048Sarlet, W.; Mestdag, T.; Prince, G. 1 2013 Driven cofactor systems and Hamilton-Jacobi separability. Zbl 1341.37032Sarlet, W.; Waeyaert, G. 1 2012 Second-order dynamical systems of Lagrangian type with dissipation. Zbl 1222.70017Mestdag, T.; Sarlet, W.; Crampin, M. 4 2011 The inverse problem for Lagrangian systems with certain non-conservative forces. Zbl 1330.70074Mestdag, T.; Sarlet, W.; Crampin, M. 4 2011 On the generalized Helmholtz conditions for Lagrangian systems with dissipative forces. Zbl 1241.70022Crampin, Mike; Mestdag, Tom; Sarlet, Willy 8 2010 Comment on ‘Conservation laws of higher order nonlinear PDEs and the variational conservation laws in the class with mixed derivatives’. Zbl 1214.35061Sarlet, W. 3 2010 Generalized submersiveness of second-order ordinary differential equations. Zbl 1191.37033Sarlet, W.; Prince, G. E.; Crampin, M. 4 2009 Linear connections along the tangent bundle projection. Zbl 1208.53018Sarlet, W. 4 2009 Contact symmetries of the Helmholtz form. Zbl 1354.58012Krupka, Demeter; Krupková, Olga; Prince, Geoff; Sarlet, Willy 10 2007 A recursive scheme of first integrals of the geodesic flow of a Finsler manifold. Zbl 1138.53064Sarlet, Willy 3 2007 An EDS approach to the inverse problem in the calculus of variations. Zbl 1112.58016Aldridge, J. E.; Prince, G. E.; Sarlet, W.; Thompson, G. 4 2006 A class of recursion operators on a tangent bundle. Zbl 1130.53058Vermeire, F.; Sarlet, W.; Crampin, M. 1 2006 Contact symmetries and variational sequences. Zbl 1115.49035Krupka, Demeter; Krupková, Olga; Prince, Geoff; Sarlet, Willy 3 2005 Adjoint symmetries and the generation of first integrals in non-holonomic mechanics. Zbl 1093.37026Sarlet, W.; Saunders, D. J.; Cantrijn, F. 2 2005 Lie algebroid structures and Lagrangian systems on affine bundles. Zbl 1010.37032Martínez, Eduardo; Mestdag, Tom; Sarlet, Willy 22 2002 The inverse problem of the calculus of variations: The use of geometrical calculus in Douglas’s analysis. Zbl 1038.37044Sarlet, W.; Thompson, G.; Prince, G. E. 15 2002 Lie algebroid structures on a class of affine bundles. Zbl 1060.58014Sarlet, W.; Mestdag, T.; Martínez, E. 12 2002 Bi-quasi-Hamiltonian systems. Zbl 1059.37038Crampin, M.; Sarlet, W. 7 2002 Note on generalized connections and affine bundles. Zbl 1056.53015Mestdag, T.; Sarlet, W.; Martínez, E. 3 2002 A class of nonconservative Lagrangian systems on Riemannian manifolds. Zbl 1063.70012Crampin, M.; Sarlet, W. 19 2001 The Berwald-type connection associated to time-dependent second-order differential equations. Zbl 1003.58005Mestdag, T.; Sarlet, W. 6 2001 Lagrangian equations on affine Lie algebroids. Zbl 1109.70304Sarlet, W.; Mestdag, T.; Martínez, E. 5 2001 Aspects of time-dependent second-order differential equations: Berwald-type connections. Zbl 1037.53009Sarlet, W.; Mestdag, T. 2 2001 Complex second-order differential equations and separability. Zbl 1074.53022Sarlet, W.; Thompson, G. 1 2001 Different forms of separability of second-order equations. Zbl 1042.34508Sarlet, W. 1 2001 Bi-differential calculi, bi-Hamiltonian systems and conformal Killing tensors. Zbl 0967.37035Crampin, M.; Sarlet, W.; Thompson, G. 14 2000 Bi-differential calculi and bi-Hamiltonian systems. Zbl 0989.37063Crampin, M.; Sarlet, W.; Thompson, G. 9 2000 Adjoint symmetries, separability, and volume forms. Zbl 0990.37043Sarlet, W.; Ramos, A. 1 2000 The inverse problem of the calculus of variations: Separable systems. Zbl 0935.49017Crampin, M.; Prince, G. E.; Sarlet, W.; Thompson, G. 7 1999 Regularity aspects and Hamiltonization of nonholonomic systems. Zbl 0978.70014Saunders, D. J.; Cantrijn, F.; Sarlet, W. 2 1999 The integrability conditions in the inverse problem of the calculus of variations for second-order ordinary differential equations. Zbl 0922.58031Sarlet, W.; Crampin, M.; Martínez, E. 17 1998 Symmetries, separability and volume forms. Zbl 0927.37014Sarlet, W.; Sahadevan, R.; Cantrijn, F. 1 1998 A differential geometric setting for mixed first- and second-order ordinary differential equations. Zbl 0932.37040Sarlet, W.; Cantrijn, F.; Saunders, D. J. 6 1997 Construction of adjoint symmetries for systems of second-order and mixed first- and second-order ordinary differential equations. Zbl 0881.34008Sarlet, W. 1 1997 Linear connections for systems of second-order ordinary differential equations. Zbl 0912.58002Crampin, M.; Martínez, E.; Sarlet, W. 26 1996 A geometrical framework for the study of non-holonomic Lagrangian systems: II. Zbl 0900.70196Saunders, D. J.; Sarlet, W.; Cantrijn, F. 25 1996 Complete separability of time-dependent second-order ordinary differential equations. Zbl 0842.34009Cantrijn, F.; Sarlet, W.; Vandecasteele, A.; Martínez, E. 5 1996 The geometry of mixed first and second-order differential equations with applications to non-holonomic mechanics. Zbl 0862.58046Sarlet, W. 1 1996 A geometrical framework for the study of non-holonomic Lagrangian systems. Zbl 0858.70013Sarlet, W.; Cantrijn, F.; Saunders, D. J. 35 1995 Derivations of forms along a map: The framework for time-dependent second-order equations. Zbl 0831.58003Sarlet, W.; Vandecasteele, A.; Cantrijn, F.; Martínez, E. 14 1995 Towards a geometrical understanding of Douglas’s solution of the inverse problem of the calculus of variations. Zbl 0826.58015Crampin, M.; Sarlet, W.; Martínez, E.; Byrnes, G. B.; Prince, G. E. 25 1994 Application of the theory of separability of second-order differential equations. Zbl 0966.34003Sarlet, W.; Cantrijn, F.; Martínez, E. 1 1994 Derivations of differential forms along the tangent bundle projection. II. Zbl 0770.53018Martínez, E.; Cariñena, J. F.; Sarlet, W. 20 1993 Geometric characterization of separable second-order differential equations. Zbl 0803.34010Martínez, Eduardo; Cariñena, José F.; Sarlet, Willy 11 1993 Derivations of differential forms along the tangent bundle projection. Zbl 0748.58002Martínez, E.; Cariñena, J. F.; Sarlet, W. 19 1992 REDUCE-procedures for the study of adjoint symmetries of second-order differential equations. Zbl 0752.68047Sarlet, W.; Vanden Bonne, J. 2 1992 New aspects of integrability of generalized Hénon-Heiles systems. Zbl 0762.58016Sarlet, W. 6 1991 Adjoint symmetries for time-dependent second-order equations. Zbl 0713.58018Sarlet, W.; Prince, G. E.; Crampin, M. 16 1990 Adjoint symmetries of second-order differential equations and generalizations. Zbl 0787.58018Sarlet, W. 2 1990 The canonical isomorphism between \(T^ kT^*M\) and \(T^*T^ kM\). Zbl 0702.58006Cantrijn, Frans; Crampin, Mike; Sarlet, Willy; Saunders, David 8 1989 Symmetries of nonlinear differential equations and linearisation. Zbl 0625.34044Sarlet, W.; Mahomed, F. M.; Leach, P. G. L. 23 1987 Pseudo-symmetries, Noether’s theorem and the adjoint equation. Zbl 0623.58045Sarlet, W.; Cantrijn, F.; Crampin, M. 16 1987 Lifting geometric objects to a cotangent bundle, and the geometry of the cotangent bundle of a tangent bundle. Zbl 0699.53042Crampin, M.; Cantrijn, F.; Sarlet, W. 7 1987 Evading the inverse problem for second-order ordinary differential equations by using additional variables. Zbl 0616.34008Cantrijn, F.; Crampin, M.; Sarlet, W. 4 1987 Geometrical structures related to second-order equations. Zbl 0635.58017Sarlet, W. 3 1987 Higher-order differential equations and higher-order Lagrangian mechanics. Zbl 0609.58049Crampin, M.; Sarlet, W.; Cantrijn, F. 43 1986 First integrals versus configurational invariants and a weak form of complete integrability. Zbl 0581.58025Sarlet, W.; Leach, P. G. L.; Cantrijn, F. 15 1985 Some recent results on symmetries of Lagrangian systems re-examined. Zbl 0579.70018Sarlet, W.; Crampin, M. 2 1985 A characterisation of higher-order Noether symmetries. Zbl 0574.58013Sarlet, W.; Crampin, M. 1 1985 A new look at second-order equations and Lagrangian mechanics. Zbl 0542.58011Sarlet, W.; Cantrijn, F.; Crampin, M. 23 1984 First integrals for some nonlinear time-dependent Hamiltonian systems. Zbl 0564.70018Leach, P. G. L.; Lewis, H. R.; Sarlet, W. 9 1984 Special symmetries for Lagrangian systems and their analogues in nonconservative mechanics. Zbl 0563.70021Sarlet, W.; Cantrijn, F. 2 1984 Note on equivalent Lagrangians and symmetries. Zbl 0514.58014Sarlet, Willy 5 1983 Symmetries, first integrals, and the inverse problem of Langrangian mechanics. II. Zbl 0542.70020Sarlet, Willy; Cantrijn, Frans 3 1983 First integrals for one-dimensional particle motion in a non-linear, time-dependent potential field. Zbl 0545.70008Sarlet, W. 3 1983 Symmetries and the inverse problem of Lagrangian dynamics for linear systems. Zbl 0523.70022Sarlet, W. 1 1983 Note on Vujanović’ Hamilton-Jacobi method for Hamilton equations with nonconservative forces. Zbl 0556.70017Sarlet, Willy 1 1983 The Helmholtz conditions revisited. A new approach to the inverse problem of Lagrangian dynamics. Zbl 0537.70018Sarlet, W. 43 1982 Time-dependent linear systems derivable from a variational principle. Zbl 0477.34006Sarlet, W.; Engels, E.; Bahar, L. Y. 4 1982 Generalizations of Noether’s theorem in classical mechanics. Zbl 0474.70014Sarlet, Willy; Cantrijn, Frans 93 1981 Higher-order Noether symmetries and constants of the motion. Zbl 0464.58010Sarlet, Willy; Cantrijn, Frans 10 1981 Symmetries, first integrals and the inverse problem of Lagrangian mechanics. Zbl 0484.70019Sarlet, Willy 9 1981 Quadratic integrals for linear nonconservative systems and their connection with the inverse problem of Lagrangian dynamics. Zbl 0489.70006Sarlet, Willy; Bahar, Leon Y. 6 1981 Classification scheme for two-dimensional Ermakov-type systems and generalizations. Zbl 0493.70028Sarlet, W.; Ray, J. R. 6 1981 Symmetries and conservation laws for generalized Hamiltonian systems. Zbl 0471.70017Cantrijn, F.; Sarlet, W. 5 1981 A direct construction of first integrals for certain non-linear dynamical systems. Zbl 0437.34040Sarlet, W.; Bahar, L. Y. 12 1980 On linear nonconservative systems derivable from a variational principle. Zbl 0441.70025Sarlet, Willy 3 1980 On the transition between second-order and first-order systems within the context of the inverse problem of Newtonian mechanics. Zbl 0497.70006Sarlet, Willy 2 1979 Invariance and conservation laws for Lagrangian systems with one degree of freedom. Zbl 0388.70018Sarlet, Willy 5 1978 On a common derivation of the averaging method and the two-timescale method. Zbl 0389.34038Sarlet, Willy 4 1978 On some aspects of the inverse problem for general first order systems. Zbl 0446.34017Sarlet, Willy; Cantrijn, Frans 2 1978 Canonical transformations and the Hamilton-Jacobi problem for general first-order systems derivable from a variational principle. Zbl 0449.34025Sarlet, Willy; Cantrijn, Frans 1 1978 Class of Hamiltonians with one degree-of-freedom allowing application of Kruskal’s asymptotic theory in closed form. II. Zbl 0363.70017Sarlet, Willy 8 1975 Class of Hamiltonians with one degree-of-freedom allowing application of Kruskal’s asymptotic theory in closed form. I. Zbl 0363.70016Sarlet, Willy 1 1975 all cited Publications top 5 cited Publications all top 5 Cited by 422 Authors 32 Leach, Peter Gavin Lawrence 27 Sarlet, Willy 20 de León Rodríguez, Manuel 19 Martín de Diego, David 17 Crampin, Mike 15 Rossi, Olga 14 Bucataru, Ioan 14 Cariñena, José F. 14 Martínez Fernández, Eduardo 14 Mestdag, Tom 14 Prince, Geoff E. 13 Mahomed, Fazal M. 12 Marrero, Juan Carlos 10 Cantrijn, Frans 10 Rañada, Manuel F. 10 Román-Roy, Narciso 9 Llibre, Jaume 8 Guha, Partha 8 Lewis, H. Ralph 7 Bouquet, Serge 7 Saunders, David J. 6 Caviglia, Giacomo 6 Grabowska, Katarzyna 6 Grabowski, Janusz 6 Guo, Yongxin 6 Kara, Abdul Hamid 6 Muzsnay, Zoltán 6 Thompson, Gerard 5 Colombo, Leonardo Jesus 5 Constantinescu, Oana 5 Ghose Choudhury, Anindya 5 Grillo, Sergio Daniel 5 Krupka, Demeter 5 Luo, Shaokai 5 Nucci, Maria Clara 4 Cendra, Hernán 4 El-Nabulsi, Rami Ahmad 4 Gaeta, Giuseppe 4 Gaset, Jordi 4 Gràcia, Xavier 4 Katzin, Gerald H. F. 4 Laínz, Manuel 4 Liu, Chang 4 Liu, Shixing 4 Marmo, Giuseppe 4 Massa, Enrico 4 Pagani, Enrico M. 4 Paliathanasis, Andronikos 4 Prieto-Martínez, Pedro Daniel 4 Pucacco, Giuseppe 4 Urbański, Paweł 3 Bayrakdar, Tuna 3 Błaszak, Maciej 3 Bloch, Anthony Michael 3 Durán Fernandez, Carlos Eduardo 3 Esen, Oğul 3 Feix, Marc Roy 3 Iglesias, David 3 Jonasson, Jens 3 Khalique, Chaudry Masood 3 Kochan, Denis 3 Levine, Jack 3 Lusanna, Luca 3 Miron, Radu 3 Muñoz Masqué, Jaime 3 Mušicki, Đorđe 3 Musilová, Jana 3 Naeem, Imran 3 Palese, Marcella 3 Pantazi, Chara 3 Pons, Josep M. 3 Popescu, Paul P. 3 Rosquist, Kjell 3 Rotkiewicz, Mikołaj 3 Sosa, Diana 3 Suri, Ali 3 Tsamparlis, Michael 2 Abraham-Shrauner, Barbara 2 Aldridge, J. E. 2 Arcuş, Constantin M. 2 Atayi, Dordi Mohammad 2 Azizpour, Esmaeil 2 Ballesteros, Angel 2 Blasco, Alfonso 2 Bluman, George W. 2 Buhe, Eerdun 2 Çağatay Uçgun, Filiz 2 Campoamor-Stursberg, Rutwig 2 Cortés, Jorge 2 Creţu, Georgeta 2 Do, Thoan 2 Farré Puiggalí, M. 2 Ferrario, Carlo 2 Ferraro, Sebastián J. 2 Flessas, George P. 2 Folly-Gbetoula, Mensah K. 2 Giachetta, Giovanni 2 Goedert, João 2 Gorni, Gianluca 2 Govinder, Keshlan Sathasiva ...and 322 more Authors all top 5 Cited in 114 Serials 96 Journal of Mathematical Physics 37 Journal of Geometry and Physics 23 Reports on Mathematical Physics 21 Differential Geometry and its Applications 16 Journal of Nonlinear Mathematical Physics 16 Journal of Geometric Mechanics 15 International Journal of Theoretical Physics 14 International Journal of Geometric Methods in Modern Physics 12 Journal of Mathematical Analysis and Applications 10 Mediterranean Journal of Mathematics 9 Communications in Mathematics 6 Acta Mechanica 5 Acta Applicandae Mathematicae 5 Communications in Nonlinear Science and Numerical Simulation 5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 4 General Relativity and Gravitation 4 Letters in Mathematical Physics 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Quaestiones Mathematicae 4 Annales de l’Institut Henri Poincaré. Physique Théorique 4 Discrete and Continuous Dynamical Systems. Series S 3 International Journal of Modern Physics A 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Chaos, Solitons and Fractals 3 Applied Mathematics and Mechanics. (English Edition) 3 Celestial Mechanics and Dynamical Astronomy 3 Journal of Nonlinear Science 3 Journal of Mathematical Sciences (New York) 3 Mathematical Problems in Engineering 3 Nonlinear Dynamics 2 Archive for Rational Mechanics and Analysis 2 Bulletin of the Australian Mathematical Society 2 Classical and Quantum Gravity 2 Theoretical and Mathematical Physics 2 Applied Mathematics and Computation 2 Mathematics and Computers in Simulation 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Annals of Global Analysis and Geometry 2 Mathematical and Computer Modelling 2 Annals of Physics 2 Celestial Mechanics 2 Turkish Journal of Mathematics 2 Discrete and Continuous Dynamical Systems 2 Abstract and Applied Analysis 2 Regular and Chaotic Dynamics 2 Nonlinear Analysis. Real World Applications 2 Theoretical and Applied Mechanics 2 Journal of Physics A: Mathematical and Theoretical 2 Advances in Mathematical Physics 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Symmetry 1 Modern Physics Letters A 1 Communications in Mathematical Physics 1 Computer Physics Communications 1 European Journal of Physics 1 International Journal of Engineering Science 1 Journal of the Mechanics and Physics of Solids 1 Nonlinearity 1 Physics Reports 1 Transport Theory and Statistical Physics 1 Reviews in Mathematical Physics 1 Journal of Theoretical and Applied Mechanics (Sofia) 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Archivum Mathematicum 1 Automatica 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Equations 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Proceedings of the American Mathematical Society 1 Rendiconti del Seminario Matematico della Università di Padova 1 Ricerche di Matematica 1 SIAM Journal on Control and Optimization 1 Transactions of the American Mathematical Society 1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques 1 Note di Matematica 1 Journal of Symbolic Computation 1 International Journal of Mathematics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Russian Mathematics 1 Computational and Applied Mathematics 1 Bulletin des Sciences Mathématiques 1 Electronic Research Announcements of the American Mathematical Society 1 Science in China. Series E 1 Doklady Mathematics 1 Mathematics and Mechanics of Solids 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Mathematical Physics, Analysis and Geometry 1 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics 1 Acta Mathematica Sinica. English Series 1 Lobachevskii Journal of Mathematics 1 DGDS. Differential Geometry – Dynamical Systems 1 Qualitative Theory of Dynamical Systems 1 Czechoslovak Journal of Physics 1 Mathematical Modelling and Analysis 1 Dynamical Systems 1 Journal of the Australian Mathematical Society ...and 14 more Serials all top 5 Cited in 37 Fields 269 Mechanics of particles and systems (70-XX) 151 Dynamical systems and ergodic theory (37-XX) 111 Differential geometry (53-XX) 109 Ordinary differential equations (34-XX) 85 Global analysis, analysis on manifolds (58-XX) 48 Calculus of variations and optimal control; optimization (49-XX) 32 Partial differential equations (35-XX) 21 Quantum theory (81-XX) 17 Nonassociative rings and algebras (17-XX) 15 Topological groups, Lie groups (22-XX) 13 Relativity and gravitational theory (83-XX) 8 Algebraic topology (55-XX) 7 Biology and other natural sciences (92-XX) 7 Systems theory; control (93-XX) 5 Numerical analysis (65-XX) 5 Mechanics of deformable solids (74-XX) 5 Fluid mechanics (76-XX) 3 Difference and functional equations (39-XX) 2 Category theory; homological algebra (18-XX) 2 Real functions (26-XX) 2 Computer science (68-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year