O jednom modelu v klasickém problému dvou těles
O Koperníkově heliocentrismu
O nekomutativnosti Lorentz-ovih transformacija
O nekomutativnosti Lorentz-ovih transformacija. II
Observation Space And Observables In Classical Mechanics
Observation space and observables in classical mechanics.
Oeuvres de Lagrange Tome 4 [Book]
Oeuvres de Lagrange Tome 6 [Book]
On a class of forced nonlinear oscillators at resonance
On a deformed version of the two-disk dynamo system
We give some deformations of the Rikitake two-disk dynamo system. Particularly, we consider an integrable deformation of an integrable version of the Rikitake system. The deformed system is a three-dimensional Hamilton-Poisson system. We present two Lie-Poisson structures and also symplectic realizations. Furthermore, we give a prequantization result of one of the Poisson manifold. We study the stability of the equilibrium states and we prove the existence of periodic orbits. We analyze some properties...
On a Differential Equation with Left and Right Fractional Derivatives
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 a generalization of Helmholtz conditions
Helmholtz conditions in the calculus of variations are necessary and sufficient conditions for a system of differential equations to be variational ‘as it stands’. It is known that this property geometrically means that the dynamical form representing the equations can be completed to a closed form. We study an analogous property for differential forms of degree 3, so-called Helmholtz-type forms in mechanics (), and obtain a generalization of Helmholtz conditions to this case.
On a Hamilton-Jacobi equation
On a horizontal structure on differentiable manifolds
On a “mysterious” case of a quadratic Hamiltonian.
On a simulation of the oscillation excited by a random force
On a Trace Functional for Formal Pseudo-Differential Operators and the Symplectic Structure of the Korteweg-Devries Type Equation.
On a two-point boundary value problem for second-order differential inclusions on Riemannian manifolds.
On a variational approach to optimization of hybrid mechanical systems.
On asymptotic motions of robot-manipulator in homogeneous space
In this paper the notion of robot-manipulators in the Euclidean space is generalized to the case in a general homogeneous space with the Lie group of motions. Some kinematic subspaces of the Lie algebra (the subspaces of velocity operators, of Coriolis acceleration operators, asymptotic subspaces) are introduced and by them asymptotic and geodesic motions are described.