The classical Dirichlet criterion on the stability of equilibria in Hamiltonian systems is generalized to the orbital stability of periodic orbits. The result obtained is adapted to the study of the stability of relative periodic orbits in Hamiltonian systems with symmetry that lie at regular level sets of th
In this contribution the optimal stabilization problem of periodic orbits is studied in a symplectic...
AbstractIt is shown that for a dissipative, three dimensional, competitive, and irreducible system o...
For a symmetric Hamiltonian system, lower bounds for the number of relative equilibria surrounding s...
International audienceWe present an introduction to the orbital stability of relative equilibria of ...
30 pagesAn estimate on the number of distinct relative periodic orbits around a stable relative equi...
Some general observations about stability of periodic solutions of Hamiltonian systems are presented...
We develop a general stability theory for equilibrium points of Poisson dynamical systems and relati...
We study the stability of elliptic rest points and periodic points of Hamiltonian systems of two deg...
International audienceWe consider the orbital stability of relative equilibria of Hamiltonian dynami...
Many Hamiltonian systems that appear in physical applications (such as rigid bodies, N-body problems...
The behaviour of 'resonances' in the spin-orbit coupling in celestial mechanics is investigated in a...
AbstractThe existence of periodic orbits for Hamiltonian systems at low positive energies can be ded...
We give explicit differential equations for a symmetric Hamiltonian vector field near a relative per...
We give explicit differential equations for the dynamics of Hamiltonian systems near relative equili...
AbstractIn this paper, we obtain new stability criteria for linear periodic Hamiltonian systems. A L...
In this contribution the optimal stabilization problem of periodic orbits is studied in a symplectic...
AbstractIt is shown that for a dissipative, three dimensional, competitive, and irreducible system o...
For a symmetric Hamiltonian system, lower bounds for the number of relative equilibria surrounding s...
International audienceWe present an introduction to the orbital stability of relative equilibria of ...
30 pagesAn estimate on the number of distinct relative periodic orbits around a stable relative equi...
Some general observations about stability of periodic solutions of Hamiltonian systems are presented...
We develop a general stability theory for equilibrium points of Poisson dynamical systems and relati...
We study the stability of elliptic rest points and periodic points of Hamiltonian systems of two deg...
International audienceWe consider the orbital stability of relative equilibria of Hamiltonian dynami...
Many Hamiltonian systems that appear in physical applications (such as rigid bodies, N-body problems...
The behaviour of 'resonances' in the spin-orbit coupling in celestial mechanics is investigated in a...
AbstractThe existence of periodic orbits for Hamiltonian systems at low positive energies can be ded...
We give explicit differential equations for a symmetric Hamiltonian vector field near a relative per...
We give explicit differential equations for the dynamics of Hamiltonian systems near relative equili...
AbstractIn this paper, we obtain new stability criteria for linear periodic Hamiltonian systems. A L...
In this contribution the optimal stabilization problem of periodic orbits is studied in a symplectic...
AbstractIt is shown that for a dissipative, three dimensional, competitive, and irreducible system o...
For a symmetric Hamiltonian system, lower bounds for the number of relative equilibria surrounding s...
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