AbstractWe consider a Hamiltonian systems which is invariant under a one-parameter unitary group and give a criterion for the stability and instability of bound states for the degenerate case. We apply our theorem to the single power nonlinear Klein–Gordon equation and the double power nonlinear Schrödinger equation
International audienceWe study analytically and numerically the stability of the standing waves for ...
We consider the problem of the stability of action variables in properly degenerate, nearly integra...
Asymptotic stability of small bound states in one dimension is proved in the framework of a discrete...
AbstractWe study the instability of bound states for abstract nonlinear Schrödinger equations. We pr...
AbstractWe consider a Hamiltonian systems which is invariant under a one-parameter unitary group and...
We consider a ground state (soliton) of a Hamiltonian PDE. We prove that if the soliton is orbitally...
In this thesis we studied the theory of stability in equilibrium solutions of autonomous Hamiltonian...
We consider Hamiltonian systems with U.1 / symmetry. We prove that in the generic situation the stan...
Abstract. Properly degenerate nearly–integrable Hamiltonian systems with two degrees of freedom such...
Steady states in Hamiltonian PDEs are often constrained minimizers of energy subject to fixed mass a...
Abstract. Asymptotic stability of small bound states in one dimension is proved in the frame-work of...
We give a brief exposition of the formulation of the bound state problem for the one-dimensional sys...
AbstractWe consider a class of nonlinear Schrödinger equations in two space dimensions with an attra...
For Hamiltonian systems of PDEs the stability of periodic waves is encoded by the Hessian of an acti...
This thesis deals with KAM theory for Hamiltonian partial differential equations. This theory concer...
International audienceWe study analytically and numerically the stability of the standing waves for ...
We consider the problem of the stability of action variables in properly degenerate, nearly integra...
Asymptotic stability of small bound states in one dimension is proved in the framework of a discrete...
AbstractWe study the instability of bound states for abstract nonlinear Schrödinger equations. We pr...
AbstractWe consider a Hamiltonian systems which is invariant under a one-parameter unitary group and...
We consider a ground state (soliton) of a Hamiltonian PDE. We prove that if the soliton is orbitally...
In this thesis we studied the theory of stability in equilibrium solutions of autonomous Hamiltonian...
We consider Hamiltonian systems with U.1 / symmetry. We prove that in the generic situation the stan...
Abstract. Properly degenerate nearly–integrable Hamiltonian systems with two degrees of freedom such...
Steady states in Hamiltonian PDEs are often constrained minimizers of energy subject to fixed mass a...
Abstract. Asymptotic stability of small bound states in one dimension is proved in the frame-work of...
We give a brief exposition of the formulation of the bound state problem for the one-dimensional sys...
AbstractWe consider a class of nonlinear Schrödinger equations in two space dimensions with an attra...
For Hamiltonian systems of PDEs the stability of periodic waves is encoded by the Hessian of an acti...
This thesis deals with KAM theory for Hamiltonian partial differential equations. This theory concer...
International audienceWe study analytically and numerically the stability of the standing waves for ...
We consider the problem of the stability of action variables in properly degenerate, nearly integra...
Asymptotic stability of small bound states in one dimension is proved in the framework of a discrete...
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