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Cantrijn, Frans

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Author ID: cantrijn.frans Recent zbMATH articles by "Cantrijn, Frans"
Published as: Cantrijn, F.; Cantrijn, Frans
Documents Indexed: 51 Publications since 1977

Publications by Year

Citations contained in zbMATH Open

46 Publications have been cited 583 times in 422 Documents Cited by Year
Generalizations of Noether’s theorem in classical mechanics. Zbl 0474.70014
Sarlet, Willy; Cantrijn, Frans
87
1981
Higher-order differential equations and higher-order Lagrangian mechanics. Zbl 0609.58049
Crampin, M.; Sarlet, W.; Cantrijn, F.
42
1986
On the geometry of multisymplectic manifolds. Zbl 0968.53052
Cantrijn, F.; Ibort, A.; de León, M.
35
1999
A geometrical framework for the study of non-holonomic Lagrangian systems. Zbl 0858.70013
Sarlet, W.; Cantrijn, F.; Saunders, D. J.
33
1995
On almost-Poisson structures in nonholonomic mechanics. Zbl 0984.37076
Cantrijn, F.; de León, M.; Martín de Diego, D.
30
1999
Reduction of degenerate Lagrangian systems. Zbl 0621.58020
Cantrijn, F.; Cariñena, J. F.; Crampin, M.; Ibort, L. A.
29
1986
On the geometry of generalized Chaplygin systems. Zbl 1033.70010
Cantrijn, Frans; Cortés, Jorge; de León, Manuel; Martín de Diego, David
27
2002
A geometrical framework for the study of non-holonomic Lagrangian systems: II. Zbl 0900.70196
Saunders, D. J.; Sarlet, W.; Cantrijn, F.
24
1996
Reduction of nonholonomic mechanical systems with symmetries. Zbl 0973.37505
Cantrijn, Frans; de León, Manuel; Marrero, Juan Carlos; Martín de Diego, David
22
1998
A new look at second-order equations and Lagrangian mechanics. Zbl 0542.58011
Sarlet, W.; Cantrijn, F.; Crampin, M.
20
1984
Hamiltonian structures on multisymplectic manifolds. Zbl 0911.58016
Cantrijn, F.; Ibort, L. A.; de León, M.
18
1996
Gradient vector fields on cosymplectic manifolds. Zbl 0754.53024
Cantrijn, F.; de León, M.; Lacomba, E. A.
18
1992
Reduction of constrained systems with symmetries. Zbl 0974.37050
Cantrijn, Frans; de León, Manuel; Marrero, Juan Carlos; Martín de Diego, David
16
1999
Pseudo-symmetries, Noether’s theorem and the adjoint equation. Zbl 0623.58045
Sarlet, W.; Cantrijn, F.; Crampin, M.
16
1987
Derivations of forms along a map: The framework for time-dependent second-order equations. Zbl 0831.58003
Sarlet, W.; Vandecasteele, A.; Cantrijn, F.; Martínez, E.
14
1995
First integrals versus configurational invariants and a weak form of complete integrability. Zbl 0581.58025
Sarlet, W.; Leach, P. G. L.; Cantrijn, F.
14
1985
Geometric aspects of nonholonomic field theories. Zbl 1083.70026
Vankerschaver, J.; Cantrijn, F.; de León, M.; Martín de Diego, D.
12
2005
Introduction to Poisson supermanifolds. Zbl 0782.58010
Cantrijn, F.; Ibort, L. A.
10
1991
Higher-order Noether symmetries and constants of the motion. Zbl 0464.58010
Sarlet, Willy; Cantrijn, Frans
10
1981
Routhian reduction for quasi-invariant Lagrangians. Zbl 1309.70019
Langerock, B.; Cantrijn, F.; Vankerschaver, J.
9
2010
Generalised connections over a vector bundle map. Zbl 1036.53014
Cantrijn, Frans; Langerock, Bavo
9
2003
Skinner-Rusk approach to time-dependent mechanics. Zbl 0997.70014
Cortés, Jorge; Martínez, Sonia; Cantrijn, Frans
8
2002
On almost-Poisson structures in nonholonomic mechanics. II: The time-dependent framework. Zbl 0963.37054
Cantrijn, F.; de León, M.; Marrero, Juan Carlos; Martín de Diego, D.
8
2000
Vector fields generating invariants for classical dissipative systems. Zbl 0496.70032
Cantrijn, F.
8
1982
The canonical isomorphism between \(T^ kT^*M\) and \(T^*T^ kM\). Zbl 0702.58006
Cantrijn, Frans; Crampin, Mike; Sarlet, Willy; Saunders, David
7
1989
Discrete Lagrangian field theories on Lie groupoids. Zbl 1165.58009
Vankerschaver, Joris; Cantrijn, Frans
6
2007
Routh reduction and the class of magnetic Lagrangian systems. Zbl 1277.70019
Langerock, B.; García-Toraño Andrés, E.; Cantrijn, F.
5
2012
A differential geometric setting for mixed first- and second-order ordinary differential equations. Zbl 0932.37040
Sarlet, W.; Cantrijn, F.; Saunders, D. J.
5
1997
Lifting geometric objects to a cotangent bundle, and the geometry of the cotangent bundle of a tangent bundle. Zbl 0699.53042
Crampin, M.; Cantrijn, F.; Sarlet, W.
5
1987
Symmetries and conservation laws for generalized Hamiltonian systems. Zbl 0471.70017
Cantrijn, F.; Sarlet, W.
5
1981
Complete separability of time-dependent second-order ordinary differential equations. Zbl 0842.34009
Cantrijn, F.; Sarlet, W.; Vandecasteele, A.; Martínez, E.
4
1996
Evading the inverse problem for second-order ordinary differential equations by using additional variables. Zbl 0616.34008
Cantrijn, F.; Crampin, M.; Sarlet, W.
4
1987
Symmetries, first integrals, and the inverse problem of Langrangian mechanics. II. Zbl 0542.70020
Sarlet, Willy; Cantrijn, Frans
3
1983
Separation of variables in the Hamilton-Jacobi equation for non-conservative systems. Zbl 0358.70017
Cantrijn, F.
3
1977
Adjoint symmetries and the generation of first integrals in non-holonomic mechanics. Zbl 1093.37026
Sarlet, W.; Saunders, D. J.; Cantrijn, F.
2
2005
Regularity aspects and Hamiltonization of nonholonomic systems. Zbl 0978.70014
Saunders, D. J.; Cantrijn, F.; Sarlet, W.
2
1999
Reduction of Poisson supermanifolds. Zbl 0721.58006
Cantrijn, Frans; Ibort, Luis Alberto
2
1990
Special symmetries for Lagrangian systems and their analogues in nonconservative mechanics. Zbl 0563.70021
Sarlet, W.; Cantrijn, F.
2
1984
On some aspects of the inverse problem for general first order systems. Zbl 0446.34017
Sarlet, Willy; Cantrijn, Frans
2
1978
Aspects of reduction and transformation of Lagrangian systems with symmetry. Zbl 1353.37114
García-Toraño Andrés, E.; Langerock, Bavo; Cantrijn, Frans
1
2014
Cosymplectic reduction of constrained systems with symmetry. Zbl 1014.37040
Cantrijn, Frans; Cortés, Jorge
1
2002
Symmetries, separability and volume forms. Zbl 0927.37014
Sarlet, W.; Sahadevan, R.; Cantrijn, F.
1
1998
Application of the theory of separability of second-order differential equations. Zbl 0966.34003
Sarlet, W.; Cantrijn, F.; Martínez, E.
1
1994
On the geometry of degenerate Lagrangians. Zbl 0632.58018
Cantrijn, F.
1
1987
Symplectic approach to nonconservative mechanics. Zbl 0555.70012
Cantrijn, F.
1
1984
Canonical transformations and the Hamilton-Jacobi problem for general first-order systems derivable from a variational principle. Zbl 0449.34025
Sarlet, Willy; Cantrijn, Frans
1
1978
Aspects of reduction and transformation of Lagrangian systems with symmetry. Zbl 1353.37114
García-Toraño Andrés, E.; Langerock, Bavo; Cantrijn, Frans
1
2014
Routh reduction and the class of magnetic Lagrangian systems. Zbl 1277.70019
Langerock, B.; García-Toraño Andrés, E.; Cantrijn, F.
5
2012
Routhian reduction for quasi-invariant Lagrangians. Zbl 1309.70019
Langerock, B.; Cantrijn, F.; Vankerschaver, J.
9
2010
Discrete Lagrangian field theories on Lie groupoids. Zbl 1165.58009
Vankerschaver, Joris; Cantrijn, Frans
6
2007
Geometric aspects of nonholonomic field theories. Zbl 1083.70026
Vankerschaver, J.; Cantrijn, F.; de León, M.; Martín de Diego, D.
12
2005
Adjoint symmetries and the generation of first integrals in non-holonomic mechanics. Zbl 1093.37026
Sarlet, W.; Saunders, D. J.; Cantrijn, F.
2
2005
Generalised connections over a vector bundle map. Zbl 1036.53014
Cantrijn, Frans; Langerock, Bavo
9
2003
On the geometry of generalized Chaplygin systems. Zbl 1033.70010
Cantrijn, Frans; Cortés, Jorge; de León, Manuel; Martín de Diego, David
27
2002
Skinner-Rusk approach to time-dependent mechanics. Zbl 0997.70014
Cortés, Jorge; Martínez, Sonia; Cantrijn, Frans
8
2002
Cosymplectic reduction of constrained systems with symmetry. Zbl 1014.37040
Cantrijn, Frans; Cortés, Jorge
1
2002
On almost-Poisson structures in nonholonomic mechanics. II: The time-dependent framework. Zbl 0963.37054
Cantrijn, F.; de León, M.; Marrero, Juan Carlos; Martín de Diego, D.
8
2000
On the geometry of multisymplectic manifolds. Zbl 0968.53052
Cantrijn, F.; Ibort, A.; de León, M.
35
1999
On almost-Poisson structures in nonholonomic mechanics. Zbl 0984.37076
Cantrijn, F.; de León, M.; Martín de Diego, D.
30
1999
Reduction of constrained systems with symmetries. Zbl 0974.37050
Cantrijn, Frans; de León, Manuel; Marrero, Juan Carlos; Martín de Diego, David
16
1999
Regularity aspects and Hamiltonization of nonholonomic systems. Zbl 0978.70014
Saunders, D. J.; Cantrijn, F.; Sarlet, W.
2
1999
Reduction of nonholonomic mechanical systems with symmetries. Zbl 0973.37505
Cantrijn, Frans; de León, Manuel; Marrero, Juan Carlos; Martín de Diego, David
22
1998
Symmetries, separability and volume forms. Zbl 0927.37014
Sarlet, W.; Sahadevan, R.; Cantrijn, F.
1
1998
A differential geometric setting for mixed first- and second-order ordinary differential equations. Zbl 0932.37040
Sarlet, W.; Cantrijn, F.; Saunders, D. J.
5
1997
A geometrical framework for the study of non-holonomic Lagrangian systems: II. Zbl 0900.70196
Saunders, D. J.; Sarlet, W.; Cantrijn, F.
24
1996
Hamiltonian structures on multisymplectic manifolds. Zbl 0911.58016
Cantrijn, F.; Ibort, L. A.; de León, M.
18
1996
Complete separability of time-dependent second-order ordinary differential equations. Zbl 0842.34009
Cantrijn, F.; Sarlet, W.; Vandecasteele, A.; Martínez, E.
4
1996
A geometrical framework for the study of non-holonomic Lagrangian systems. Zbl 0858.70013
Sarlet, W.; Cantrijn, F.; Saunders, D. J.
33
1995
Derivations of forms along a map: The framework for time-dependent second-order equations. Zbl 0831.58003
Sarlet, W.; Vandecasteele, A.; Cantrijn, F.; Martínez, E.
14
1995
Application of the theory of separability of second-order differential equations. Zbl 0966.34003
Sarlet, W.; Cantrijn, F.; Martínez, E.
1
1994
Gradient vector fields on cosymplectic manifolds. Zbl 0754.53024
Cantrijn, F.; de León, M.; Lacomba, E. A.
18
1992
Introduction to Poisson supermanifolds. Zbl 0782.58010
Cantrijn, F.; Ibort, L. A.
10
1991
Reduction of Poisson supermanifolds. Zbl 0721.58006
Cantrijn, Frans; Ibort, Luis Alberto
2
1990
The canonical isomorphism between \(T^ kT^*M\) and \(T^*T^ kM\). Zbl 0702.58006
Cantrijn, Frans; Crampin, Mike; Sarlet, Willy; Saunders, David
7
1989
Pseudo-symmetries, Noether’s theorem and the adjoint equation. Zbl 0623.58045
Sarlet, 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 0699.53042
Crampin, M.; Cantrijn, F.; Sarlet, W.
5
1987
Evading the inverse problem for second-order ordinary differential equations by using additional variables. Zbl 0616.34008
Cantrijn, F.; Crampin, M.; Sarlet, W.
4
1987
On the geometry of degenerate Lagrangians. Zbl 0632.58018
Cantrijn, F.
1
1987
Higher-order differential equations and higher-order Lagrangian mechanics. Zbl 0609.58049
Crampin, M.; Sarlet, W.; Cantrijn, F.
42
1986
Reduction of degenerate Lagrangian systems. Zbl 0621.58020
Cantrijn, F.; Cariñena, J. F.; Crampin, M.; Ibort, L. A.
29
1986
First integrals versus configurational invariants and a weak form of complete integrability. Zbl 0581.58025
Sarlet, W.; Leach, P. G. L.; Cantrijn, F.
14
1985
A new look at second-order equations and Lagrangian mechanics. Zbl 0542.58011
Sarlet, W.; Cantrijn, F.; Crampin, M.
20
1984
Special symmetries for Lagrangian systems and their analogues in nonconservative mechanics. Zbl 0563.70021
Sarlet, W.; Cantrijn, F.
2
1984
Symplectic approach to nonconservative mechanics. Zbl 0555.70012
Cantrijn, F.
1
1984
Symmetries, first integrals, and the inverse problem of Langrangian mechanics. II. Zbl 0542.70020
Sarlet, Willy; Cantrijn, Frans
3
1983
Vector fields generating invariants for classical dissipative systems. Zbl 0496.70032
Cantrijn, F.
8
1982
Generalizations of Noether’s theorem in classical mechanics. Zbl 0474.70014
Sarlet, Willy; Cantrijn, Frans
87
1981
Higher-order Noether symmetries and constants of the motion. Zbl 0464.58010
Sarlet, Willy; Cantrijn, Frans
10
1981
Symmetries and conservation laws for generalized Hamiltonian systems. Zbl 0471.70017
Cantrijn, F.; Sarlet, W.
5
1981
On some aspects of the inverse problem for general first order systems. Zbl 0446.34017
Sarlet, Willy; Cantrijn, Frans
2
1978
Canonical transformations and the Hamilton-Jacobi problem for general first-order systems derivable from a variational principle. Zbl 0449.34025
Sarlet, Willy; Cantrijn, Frans
1
1978
Separation of variables in the Hamilton-Jacobi equation for non-conservative systems. Zbl 0358.70017
Cantrijn, F.
3
1977
all top 5

Cited by 435 Authors

44 de León Rodríguez, Manuel
25 Martín de Diego, David
17 Román-Roy, Narciso
17 Sarlet, Willy
15 Marrero, Juan Carlos
14 Rossi, Olga
13 Cantrijn, Frans
13 Leach, Peter Gavin Lawrence
12 Cariñena, José F.
12 Crampin, Mike
10 Prince, Geoff E.
9 Martínez Fernández, Eduardo
8 Colombo, Leonardo Jesus
8 Mestdag, Tom
7 Cendra, Hernán
7 Grillo, Sergio Daniel
7 Jovanović, Božidar Žarko
7 Llibre, Jaume
7 Mahomed, Fazal M.
7 Muñoz-Lecanda, Miguel C.
7 Salgado, Modesto R.
6 Bucataru, Ioan
6 Caviglia, Giacomo
6 Esen, Oğul
6 García-Naranjo, Luis C.
6 Marmo, Giuseppe
6 Prieto-Martínez, Pedro Daniel
6 Rañada, Manuel F.
6 Sansonetto, Nicola
6 Vankerschaver, Joris
5 Echeverría-Enríquez, Arturo
5 Fassò, Francesco
5 Guha, Partha
5 Guo, Yongxin
5 Luo, Shaokai
5 Shafiee, Mohammad Ali
5 Vilariño, Silvia
4 Balseiro, Paula
4 Bloch, Anthony M.
4 Cortés, Jorge
4 Gràcia, Xavier
4 Kara, Abdul Hamid
4 Katzin, Gerald H. F.
4 Langerock, Bavo
4 Leok, Melvin
4 Massa, Enrico
4 Nucci, Maria Clara
4 Pagani, Enrico M.
4 Popescu, Paul P.
4 Pucacco, Giuseppe
4 Yoshimura, Hiroaki
3 Bouquet, Serge
3 Fedorov, Yuri N.
3 Ferrario, Carlo
3 Ferraro, Sebastián J.
3 Gaeta, Giuseppe
3 García-Toraño Andrés, Eduardo
3 Grabowski, Janusz
3 Ibort, Alberto
3 Ibort, Luis Alberto
3 Iglesias, David
3 Jiménez, Fernando
3 Jóźwikowski, Michał
3 Koiller, Jair
3 Levine, Jack
3 Liu, Chang
3 Liu, Shixing
3 López, Carlos A.
3 Lusanna, Luca
3 Miron, Radu
3 Mušicki, Djordje
3 Naeem, Imran
3 Paliathanasis, Andronikos
3 Pons, Josep M.
3 Rodrigo, César
3 Rodrigues, Paulo Roberto
3 Rosquist, Kjell
3 Rotkiewicz, Mikołaj
3 Sardón, Cristina
3 Saunders, David J.
3 Suri, Ali
2 Andrés, E. García-Toraño
2 Barron, Tatyana
2 Benenti, Sergio
2 Bibbona, Enrico
2 Blacker, Casey
2 Bluman, George W.
2 Borisov, Alekseĭ Vladimirovich
2 Buhe, Eerdun
2 Çağatay Uçgun, Filiz
2 Campoamor-Stursberg, Rutwig
2 Constantinescu, Oana
2 Durán Fernandez, Carlos Eduardo
2 Ehlers, Kurt M.
2 Etayo Gordejuela, Fernando
2 Eyrea Irazú, María Emma
2 Fatibene, Lorenzo
2 Fernández Rodríguez, Marisa
2 Fernandez, Oscar E.
2 Folly-Gbetoula, Mensah K.
...and 335 more Authors
all top 5

Cited in 97 Serials

89 Journal of Mathematical Physics
39 Journal of Geometry and Physics
27 Journal of Geometric Mechanics
22 Reports on Mathematical Physics
20 International Journal of Geometric Methods in Modern Physics
16 Differential Geometry and its Applications
13 International Journal of Theoretical Physics
11 Regular and Chaotic Dynamics
10 Journal of Nonlinear Science
10 Journal of Nonlinear Mathematical Physics
9 Letters in Mathematical Physics
8 Journal of Mathematical Analysis and Applications
7 Mediterranean Journal of Mathematics
7 Communications in Mathematics
6 Acta Mechanica
6 Annales de l’Institut Henri Poincaré. Physique Théorique
4 Archive for Rational Mechanics and Analysis
4 Reviews in Mathematical Physics
4 Acta Applicandae Mathematicae
4 Theoretical and Applied Mechanics
3 General Relativity and Gravitation
3 Applied Mathematics and Mechanics. (English Edition)
3 Mathematical Problems in Engineering
3 Nonlinear Dynamics
3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
3 Discrete and Continuous Dynamical Systems. Series S
2 Bulletin of the Australian Mathematical Society
2 Nonlinearity
2 Journal of Differential Equations
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Celestial Mechanics
2 Celestial Mechanics and Dynamical Astronomy
2 Journal of Mathematical Sciences (New York)
2 Communications in Nonlinear Science and Numerical Simulation
2 Journal of High Energy Physics
2 Dynamical Systems
2 Journal of Physics A: Mathematical and Theoretical
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Symmetry
1 International Journal of Modern Physics A
1 Communications in Mathematical Physics
1 European Journal of Physics
1 Israel Journal of Mathematics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Physics Reports
1 Theoretical and Mathematical Physics
1 Transport Theory and Statistical Physics
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Journal of Theoretical and Applied Mechanics (Sofia)
1 Applied Mathematics and Computation
1 Archivum Mathematicum
1 Glasgow Mathematical Journal
1 Journal of Geometry
1 Meccanica
1 Monatshefte für Mathematik
1 Quaestiones Mathematicae
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 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Applied Mathematics Letters
1 Mathematical and Computer Modelling
1 Mathematica Bohemica
1 Annals of Physics
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Russian Mathematics
1 International Journal of Modern Physics D
1 Bulletin des Sciences Mathématiques
1 Discrete and Continuous Dynamical Systems
1 Science in China. Series E
1 European Journal of Control
1 Abstract and Applied Analysis
1 Mathematical Physics, Analysis and Geometry
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Lobachevskii Journal of Mathematics
1 DGDS. Differential Geometry – Dynamical Systems
1 Qualitative Theory of Dynamical Systems
1 Czechoslovak Journal of Physics
1 Nonlinear Analysis. Real World Applications
1 Journal of the Australian Mathematical Society
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Central European Journal of Mathematics
1 Foundations of Physics
1 Journal of Noncommutative Geometry
1 Nonlinear Analysis. Hybrid Systems
1 Asian-European Journal of Mathematics
1 Journal of Nonlinear Science and Applications
1 Advances in Mathematical Physics
1 Mathematical Sciences
1 Mathematics
1 Geometry
1 European Journal of Mathematics
1 Nelineĭnaya Dinamika

Citations by Year