DOIAbstract
summary:The period function of a planar parameter-depending Hamiltonian system is examined. It is proved that, depending on the value of the parameter, it is either monotone or has exactly one critical point
summary:The period function of a planar parameter-depending Hamiltonian system is examined. It is proved that, depending on the value of the parameter, it is either monotone or has exactly one critical point
AbstractIn the present paper we study the period function of centers of potential systems. We obtain...
AbstractIf the Hamiltonian system with Hamiltonian H(x, y) = 12y2 + V(x) has a center at the origin ...
In this paper we consider the family of quadratic Kolmogo-roff systems with a center in the real qua...
summary:The period function of a planar parameter-depending Hamiltonian system is examined. It is pr...
We provide a criterion to determine the convexity of the period function for a class of planar Hamil...
We are interested in the optimality of monotonicity criteria for the period function of some planar ...
AbstractPeriodic solutions in a class of Hamiltonian systems with one degree of freedom containing t...
In the first part of the paper we develop a constructive procedure to obtain the Taylor expansion, i...
The paper deals with Hamiltonian systems with homogeneous nonlinearities. We prove that such systems...
AbstractThe paper deals with Hamiltonian systems with homogeneous nonlinearities. We prove that such...
AbstractThis paper studies the period function of the class of Hamiltonian systems x=−Hy, y=Hx where...
We prove the existence of chaotic dynamics in a simple periodically perturbed Hamiltonian system of ...
For a one-parameter family of periodic solutions of a second-order, autonomous, Hamiltonian system, ...
AbstractWe consider some analytic behaviors (convexity, monotonicity and number of critical points) ...
9 pagesThe purpose of this paper is to study various monotonicity conditions of the period function ...
AbstractIn the present paper we study the period function of centers of potential systems. We obtain...
AbstractIf the Hamiltonian system with Hamiltonian H(x, y) = 12y2 + V(x) has a center at the origin ...
In this paper we consider the family of quadratic Kolmogo-roff systems with a center in the real qua...
summary:The period function of a planar parameter-depending Hamiltonian system is examined. It is pr...
We provide a criterion to determine the convexity of the period function for a class of planar Hamil...
We are interested in the optimality of monotonicity criteria for the period function of some planar ...
AbstractPeriodic solutions in a class of Hamiltonian systems with one degree of freedom containing t...
In the first part of the paper we develop a constructive procedure to obtain the Taylor expansion, i...
The paper deals with Hamiltonian systems with homogeneous nonlinearities. We prove that such systems...
AbstractThe paper deals with Hamiltonian systems with homogeneous nonlinearities. We prove that such...
AbstractThis paper studies the period function of the class of Hamiltonian systems x=−Hy, y=Hx where...
We prove the existence of chaotic dynamics in a simple periodically perturbed Hamiltonian system of ...
For a one-parameter family of periodic solutions of a second-order, autonomous, Hamiltonian system, ...
AbstractWe consider some analytic behaviors (convexity, monotonicity and number of critical points) ...
9 pagesThe purpose of this paper is to study various monotonicity conditions of the period function ...
AbstractIn the present paper we study the period function of centers of potential systems. We obtain...
AbstractIf the Hamiltonian system with Hamiltonian H(x, y) = 12y2 + V(x) has a center at the origin ...
In this paper we consider the family of quadratic Kolmogo-roff systems with a center in the real qua...
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