A Hamiltonian approach to the discrete-continuous dynamical systems in diamond-type crystals.
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Displaying 1 – 16 of 16
An expression of classical dynamics
J.-J. Moreau (1989)
Annales de l'I.H.P. Analyse non linéaire
Closed geodesics for the Jacobi metric and periodic solutions of prescribed energy of natural hamiltonian systems
V. Benci (1984)
Annales de l'I.H.P. Analyse non linéaire
Editorial
Olga Krupková (2010)
Communications in Mathematics
Equations of motion of nonlinear nonholonomic systems with variable masses
Ghori, Q.K. (1988)
Portugaliae mathematica
Espaces variationnels et mécanique
Joseph Klein (1962)
Annales de l'institut Fourier
Ce travail est essentiellement consacré aux systèmes dynamiques non conservatifs, la force généralisée dépendant à la fois des paramètres de position et de vitesse . désignant l’espace-temps de configuration, l’espace fibré des vecteurs tangents, celui des directions tangentes à , on caractérise par son lagrangien homogène et le tenseur-force antisymétrique dont le produit contracté par le vecteur vitesse donne le vecteur force généralisé.Dans la première partie, on étudie l’algèbre...
Hamilton’s Principle with Variable Order Fractional Derivatives
Atanackovic, Teodor, Pilipovic, Stevan (2011)
Fractional Calculus and Applied Analysis
MSC 2010: 26A33, 70H25, 46F12, 34K37 Dedicated to 80-th birthday of Prof. Rudolf GorenfloWe propose a generalization of Hamilton’s principle in which the minimization is performed with respect to the admissible functions and the order of the derivation. The Euler–Lagrange equations for such minimization are derived. They generalize the classical Euler-Lagrange equation. Also, a new variational problem is formulated in the case when the order of the derivative is defined through a constitutive equation....
Lie algebroids in classical mechanics and optimal control.
Martínez, Eduardo (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
On a Differential Equation with Left and Right Fractional Derivatives
Atanackovic, Teodor, Stankovic, Bogoljub (2007)
Fractional Calculus and Applied Analysis
Mathematics Subject Classification: 26A33; 70H03, 70H25, 70S05; 49S05We treat the fractional order differential equation that contains the left and right Riemann-Liouville fractional derivatives. Such equations arise as the Euler-Lagrange equation in variational principles with fractional derivatives. We reduce the problem to a Fredholm integral equation and construct a solution in the space of continuous functions. Two competing approaches in formulating differential equations of fractional order...
On the higher order Poincaré-Cartan forms
Michal Horák, Ivan Kolář (1983)
Czechoslovak Mathematical Journal
On the Principle of Stationary Isoenergetic Action
Božidar Jovanović (2012)
Publications de l'Institut Mathématique
Orbitas Frenadas En Sistemas Mecanicos Finslerianos.
Otto Raúl Ruiz M. (1983)
Revista colombiana de matematicas
Sobre los sistemas mecánicos con enlaces.
Rafael Ramírez (1989)
Collectanea Mathematica
A mathematical model is proposed in order to describe the behaviour of mechanical systems with constraints.
The canonical structure of the supersymmetric non-linear σ model in the constrained hamiltonian formalism
J. Maharana (1986)
Annales de l'I.H.P. Physique théorique
The Jacobi variational principle revisited
Stanisław L. Bażański (2003)
Banach Center Publications
Variational calculus on Lie algebroids
Eduardo Martínez (2008)
ESAIM: Control, Optimisation and Calculus of Variations
It is shown that the Lagrange's equations for a Lagrangian system on a Lie algebroid are obtained as the equations for the critical points of the action functional defined on a Banach manifold of curves. The theory of Lagrangian reduction and the relation with the method of Lagrange multipliers are also studied.
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