Add to ORKGThe algorithm of the successive derivatives introduced in [5] was implemented in [7], [8]. This algorithm is based on the existence of a decomposition of 1-forms associated to the relative cohomology of the Hamiltonian function which is perturbed. We explain here how the first step of this algorithm gives also the first derivative of the period function. This includes, for instance, new presentations of formulas obtained by Carmen Chicone and Marc Jacobs in [3]. 1
International audienceSome scales of spaces of ultra-differentiable functions are introduced, having...
Some scales of spaces of ultra-differentiable functions are introduced, having good stability proper...
We design a block Krylov method to compute the action of the Fr�©chet derivative of a matrix funct...
AbstractPreviously, we provided an expression which generalized the classical Melnikov function to a...
AbstractGiven a centre of a planar differential system, we extend the use of the Lie bracket to the ...
We prove a formula for the $n$-th derivative of the period function $T$ in a period annulus of a pla...
Given a centre of a planar differential system, we extend the use of the Lie bracket to the determin...
We prove a formula for the n-th derivative of the period function T in a period annulus of a planar ...
In this work we are concerned with the problem of shape and period of isolated periodic solutions of...
0Recently efforts have been made to compute first and second derivatives of a function numerically ...
International audienceBautin made some years ago a decisive contribution to the algebraic approach o...
AbstractFor a germ of analytic vector fields, the existence of first integrals, resonance and the co...
[eng] We study the global behaviour of the period function on the period annulus of degenerate cente...
Abstract: We consider a rigorous Hamiltonian perturbation theory based on the transformation of the ...
We study the global behaviour of the period function on the period annulus of degenerate centers for...
International audienceSome scales of spaces of ultra-differentiable functions are introduced, having...
Some scales of spaces of ultra-differentiable functions are introduced, having good stability proper...
We design a block Krylov method to compute the action of the Fr�©chet derivative of a matrix funct...
AbstractPreviously, we provided an expression which generalized the classical Melnikov function to a...
AbstractGiven a centre of a planar differential system, we extend the use of the Lie bracket to the ...
We prove a formula for the $n$-th derivative of the period function $T$ in a period annulus of a pla...
Given a centre of a planar differential system, we extend the use of the Lie bracket to the determin...
We prove a formula for the n-th derivative of the period function T in a period annulus of a planar ...
In this work we are concerned with the problem of shape and period of isolated periodic solutions of...
0Recently efforts have been made to compute first and second derivatives of a function numerically ...
International audienceBautin made some years ago a decisive contribution to the algebraic approach o...
AbstractFor a germ of analytic vector fields, the existence of first integrals, resonance and the co...
[eng] We study the global behaviour of the period function on the period annulus of degenerate cente...
Abstract: We consider a rigorous Hamiltonian perturbation theory based on the transformation of the ...
We study the global behaviour of the period function on the period annulus of degenerate centers for...
International audienceSome scales of spaces of ultra-differentiable functions are introduced, having...
Some scales of spaces of ultra-differentiable functions are introduced, having good stability proper...
We design a block Krylov method to compute the action of the Fr�©chet derivative of a matrix funct...