EuDML | Browse

In this work we will be concerned with the existence of almost homoclinic solutions for a Newtonian system $q ̈ + \nabla_{q} V (t, q) = f (t)$ , where t ∈ ℝ, q ∈ ℝⁿ. It is assumed that a potential V: ℝ × ℝⁿ → ℝ is C¹-smooth and its gradient map $\nabla_{q} V : ℝ \times ℝ ⁿ \to ℝ ⁿ$ is bounded with respect to t. Moreover, a forcing term f: ℝ → ℝⁿ is continuous, bounded and square integrable. We will show that the approximative scheme due to J. Janczewska (see [J2]) for a time periodic potential extends to our case.

A realistic exponential estimate for a paradigm hamiltonian

P. Lochak, A. Porzio (1989)

Annales de l'I.H.P. Physique théorique

A singular lagrangian model for N-body relativistic interactions

J. Gomis, J. A. Lobo, A. Poch, J. M. Pons (1984)

Annales de l'I.H.P. Physique théorique

A variational approach to homoclinic orbits in Hamiltonian systems.

Vittorio Coti Zelati, Ivar Ekeland, Eric Séré (1990)

Mathematische Annalen

Addendum: Systems of Toda Type, Inverse Spectral Problems, and Representation Theory.

W.W. Symes (1981)

Inventiones mathematicae

Addendum to "On the Variation in the Cohomology of the Symplectic Form of the Reduced Phase Space."

J.J. Duistermaat, G.J. Heckman (1983)

Inventiones mathematicae

Algebras of integrals

Keneth R. Meyer (1975)

Revista colombiana de matematicas

An affine framework for analytical mechanics

Paweł Urbański (2003)

Banach Center Publications

An affine Cartan calculus is developed. The concepts of special affine bundles and special affine duality are introduced. The canonical isomorphisms, fundamental for Lagrangian and Hamiltonian formulations of the dynamics in the affine setting are proved.

Currently displaying 1 – 20 of 141

Page 1 Next

Displaying 1 – 20 of 141

A class of Hamiltonian systems with increasing periods.

A deterministic displacement theorem for Poisson processes.

A Hamiltonian approach to the discrete-continuous dynamical systems in diamond-type crystals.

A methodology for the numerical computation of normal forms, centre manifolds and first integrals of Hamiltonian systems.

A new geometrical framework for time-dependent Hamiltonian mechanics.

A note on an approximative scheme of finding almost homoclinic solutions for Newtonian systems

A realistic exponential estimate for a paradigm hamiltonian

A singular lagrangian model for N-body relativistic interactions

A variational approach to homoclinic orbits in Hamiltonian systems.

Addendum: Systems of Toda Type, Inverse Spectral Problems, and Representation Theory.

Addendum to "On the Variation in the Cohomology of the Symplectic Form of the Reduced Phase Space."

Algebras of integrals

An affine framework for analytical mechanics

Another approach to the classical calculus of variations. I

Another approach to the classical calculus of variations. II. Hamiltonian theory

Another approach to the classical calculus of variations. III

Applications numériques de la dualité en mécanique hamiltonienne

Arnold diffusion: a variational construction.

Bifurcation diagrams and Fomenko’s surgery on Liouville tori of the Kolossoff potential $U = ρ + (1 / ρ) - k cos φ$

Bifurcation d'orbites périodiques d'un système hamiltonien au voisinage d'une position d'équilibre

Currently displaying 1 – 20 of 141