We investigate oscillatory properties of a perturbed symplectic dynamic system on a time scale that is unbounded above. The unperturbed system is supposed to be nonoscillatory, and we give conditions on the perturbation matrix, which guarantee that the perturbed system becomes oscillatory. Examples illustrating the general results are given as well
This monograph contains an in-depth analysis of the dynamics given by a linear Hamiltonian system of...
AbstractWe consider a dissipative perturbation of an integrable Hamiltonian system. The perturbed sy...
AbstractWe establish some oscillation criteria for the two-dimensional dynamic system {xΔ(t)=b(t)g[y...
We investigate oscillatory properties of a perturbed symplectic dynamic system on a time scale that ...
We investigate oscillatory properties of a perturbed symplectic dynamic system on a time scale that ...
In this paper, we discuss the oscillatory behavior of a certain nonlinear perturbed dynamic equation...
AbstractIn this paper we establish oscillation and nonoscillation criteria for the linear dynamic sy...
Basic results of the oscillation and transformation theories of linear Hamiltonian dynamic systems o...
In this paper, we investigate oscillation and asymptotic properties for three-dimensional systems of...
WOS: 000447946800037In this article, we investigate the oscillatory behavior of a three-dimensional ...
In this paper, we obtain oscillation and nonoscillation criteria for solutions to four-dimensional s...
Abstract This paper deals with long-time behaviors of nonoscillatory solutions of a system of first-...
In this paper we show that any symplectic difference system can be transformed into a trigonometric ...
International audienceWe derive symplectic integrators for a class of highly oscillatory Hamiltonian...
WOS: 000423158800026The oscillation and nonoscillation theories for nonlinear systems have recently ...
This monograph contains an in-depth analysis of the dynamics given by a linear Hamiltonian system of...
AbstractWe consider a dissipative perturbation of an integrable Hamiltonian system. The perturbed sy...
AbstractWe establish some oscillation criteria for the two-dimensional dynamic system {xΔ(t)=b(t)g[y...
We investigate oscillatory properties of a perturbed symplectic dynamic system on a time scale that ...
We investigate oscillatory properties of a perturbed symplectic dynamic system on a time scale that ...
In this paper, we discuss the oscillatory behavior of a certain nonlinear perturbed dynamic equation...
AbstractIn this paper we establish oscillation and nonoscillation criteria for the linear dynamic sy...
Basic results of the oscillation and transformation theories of linear Hamiltonian dynamic systems o...
In this paper, we investigate oscillation and asymptotic properties for three-dimensional systems of...
WOS: 000447946800037In this article, we investigate the oscillatory behavior of a three-dimensional ...
In this paper, we obtain oscillation and nonoscillation criteria for solutions to four-dimensional s...
Abstract This paper deals with long-time behaviors of nonoscillatory solutions of a system of first-...
In this paper we show that any symplectic difference system can be transformed into a trigonometric ...
International audienceWe derive symplectic integrators for a class of highly oscillatory Hamiltonian...
WOS: 000423158800026The oscillation and nonoscillation theories for nonlinear systems have recently ...
This monograph contains an in-depth analysis of the dynamics given by a linear Hamiltonian system of...
AbstractWe consider a dissipative perturbation of an integrable Hamiltonian system. The perturbed sy...
AbstractWe establish some oscillation criteria for the two-dimensional dynamic system {xΔ(t)=b(t)g[y...