Found 58 Documents (Results 1–58)
The inverse problem within free electrodynamics and the coisotropic embedding theorem. (English) Zbl 07874079
The practice of principles: Planck’s vision of a relativistic general dynamics. (English) Zbl 07872238
MSC:
01A60
General fractional classical mechanics: action principle, Euler-Lagrange equations and Noether theorem. (English) Zbl 07808029
Generalization of Noether theorem and action principle for non-Lagrangian theories. (English) Zbl 1537.70043
Energy based methods applied in mechanics by using the extended Noether’s formalism. (English) Zbl 1539.74011
Reviewer: Manuel de León (Madrid)
Existence of a variational principle for PDEs with symmetries and current conservation. (English) Zbl 1520.58009
MSC:
58E30
Analytical thermodynamics. (English) Zbl 1524.74022
On a geometric description of time-dependent singular Lagrangians with applications to biological systems. (English) Zbl 07908946
Extensions of the general solution families for the inverse problem of the calculus of variations for sixth- and eighth-order ordinary differential equations. (English) Zbl 1498.37110
Inverse problem and equivalent contact systems. (English) Zbl 1501.37067
Reviewer: Mihail Banaru (Smolensk)
An extended Hamilton principle as unifying theory for coupled problems and dissipative microstructure evolution. (English) Zbl 1537.74011
Extendable symplectic structures and the inverse problem of the calculus of variations for systems of equations written in generalized Kovalevskaya form. (English) Zbl 1462.35006
On the solvability of stochastic Helmholtz problem. (English. Russian original) Zbl 1467.34056
J. Math. Sci., New York 253, No. 2, 297-305 (2021); translation from Neliniĭni Kolyvannya 22, No. 3, 398-405 (2019).
Reviewer: Narahari Parhi (Bhubaneswar)
Novel Lagrangian hierarchies, generalized variational ODE’s, and families of regular and embedded solitary waves. (English) Zbl 1519.37075
Lagrangians, gauge functions, and Lie groups for semigroup of second-order differential equations. (English) Zbl 1499.70015
The variational factors problem for systems of equations written in an extended Kovalevskaya form. (English) Zbl 1497.49007
Reviewer: Kamal Mamehrashi (Boukan)
An extension to the theory of controlled Lagrangians using the Helmholtz conditions. (English) Zbl 1417.49048
Lepage manifolds. (English) Zbl 1393.58004
Falcone, Giovanni (ed.), Lie groups, differential equations, and geometry. Advances and surveys. Cham: Springer; Palermo: Università degli Studi di Palermo (ISBN 978-3-319-62180-7/hbk; 978-3-319-62181-4/ebook). UNIPA Springer Series, 321-361 (2017).
Reviewer: Neda Bokan (Beograd)
Geometric approach to dynamics obtained by deformation of time-dependent Lagrangians. (English) Zbl 1349.53110
Inverse problem for Lagrangian systems on Lie algebroids and applications to reduction by symmetries. (English) Zbl 1376.53099
Variational sequences, representation sequences and applications in physics. (English) Zbl 1347.70043
Reviewer: Miroslav Doupovec (Brno)
New progress in the inverse problem in the calculus of variations. (English) Zbl 1333.37070
Reviewer: Mircea Crâşmăreanu (Iaşi)
Comment on “Symplectic integration of magnetic systems”: A proof that the Boris algorithm is not variational. (English) Zbl 1349.37083
A brief note on the analytical solution of Meshchersky’s equation within the inverse problem of Lagrangian mechanics. (English) Zbl 1325.70042
MSC:
70H03
Construction of Lagrangian and Hamiltonian structures starting from one constant of motion. (English) Zbl 1357.70027
Geometric mechanics on nonholonomic submanifolds. (English) Zbl 1248.70018
Reviewer: Agostino Prástaro (Roma)
Lepage equivalents of second-order Euler-Lagrange forms and the inverse problem of the calculus of variations. (English) Zbl 1170.58006
The structure of the Euler-Lagrange mapping. (English) Zbl 1298.70023
Russ. Math. 51, No. 12, 52-70 (2007) and Izv. Vyssh. Uchebn. Zaved., Mat. 2007, No. 12, 51-69 (2007).
MSC:
70G45
Lepage forms, closed 2-forms and second-order ordinary differential equations. (English) Zbl 1298.58004
Russ. Math. 51, No. 12, 1-16 (2007) and Izv. Vyssh. Uchebn. Zaved., Mat. 2007, No. 12, 3-18 (2007).
Helmholtz potentiality conditions for systems of difference-differential equations. (English. Russian original) Zbl 0929.35167
Math. Notes 64, No. 3, 377-381 (1998); translation from Mat. Zametki 64, No. 3, 437-442 (1998).
Reviewer: Drumi Bainov (Sofia)
MSC:
35R10
Reversible dynamical systems: Dissipation-induced destabilization and follower forces. (English) Zbl 0822.93038
Jet bundle geometry, dynamical connections, and the inverse problem of Lagrangian mechanics. (English) Zbl 0813.70004
Variational principles for nonpotential operators. (English. Russian original) Zbl 0835.58012
From L. Boltzmann to J. J. Thomson: the trials to find a mechanical foundation of thermodynamics (1866–1890). (Von L. Boltzmann bis J. J. Thomson: Die Versuche einer mechanischen Grundlegung der Thermodynamik (1866–1890).) (German) Zbl 0767.01018
Reviewer: W.Wiȩsław (Wrocław)
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