Add to ORKGAbstract. We consider a class of perturbations of the 2D harmonic oscillator, and of some other dynamical systems, which we show are isomorphic to a function of a toric system (a Birkhoff canonical form). We show that for such systems there exists a quantum normal form as well, which is determined by spectral data. Content
AbstractEquivalence classes of time independent, linear, real Hamiltonian systems can be identified,...
We reconsider the problem of the convergence of Birkhoff's normal form for a system of perturbed ha...
For resonant Hamiltonian systems in Poincaré–Birkhoff normal form, the quadratic part of the Hamilto...
We consider a class of perturbations of the 2D harmonic oscillator, and of some other dynamical syst...
We present a semiclassical method of calculating vibrational energy levels for a system of nonsepara...
We give a new proof of Moser's 1967 normal-form theorem for real analytic perturbations of vector fi...
We give a new proof of Moser's 1967 normal-form theorem for real analytic perturbations of vector fi...
We present a semiclassical method of calculating vibrational energy levels for a system of nonsepara...
Consider a Hamiltonian PDE having an elliptic equilibrium at zero. Assuming a suitable condition on ...
Abstract: First we consider the linear periodic Hamiltonian systems. For them we find norm...
Bifurcations of periodic orbits as an external parameter is varied are a characteristic feature of g...
We reconsider the problem of the convergence of Birkhoff's normal form for a system of perturbed ha...
We study a pair of canonoid (fouled) Hamiltonians of the harmonic oscillator which provide, at the c...
Abstract: Near a stationary solution we consider the Hamiltonian system with such perturba...
A necessary and sufficient condition is given for the unique normal forms about critical elements-eq...
AbstractEquivalence classes of time independent, linear, real Hamiltonian systems can be identified,...
We reconsider the problem of the convergence of Birkhoff's normal form for a system of perturbed ha...
For resonant Hamiltonian systems in Poincaré–Birkhoff normal form, the quadratic part of the Hamilto...
We consider a class of perturbations of the 2D harmonic oscillator, and of some other dynamical syst...
We present a semiclassical method of calculating vibrational energy levels for a system of nonsepara...
We give a new proof of Moser's 1967 normal-form theorem for real analytic perturbations of vector fi...
We give a new proof of Moser's 1967 normal-form theorem for real analytic perturbations of vector fi...
We present a semiclassical method of calculating vibrational energy levels for a system of nonsepara...
Consider a Hamiltonian PDE having an elliptic equilibrium at zero. Assuming a suitable condition on ...
Abstract: First we consider the linear periodic Hamiltonian systems. For them we find norm...
Bifurcations of periodic orbits as an external parameter is varied are a characteristic feature of g...
We reconsider the problem of the convergence of Birkhoff's normal form for a system of perturbed ha...
We study a pair of canonoid (fouled) Hamiltonians of the harmonic oscillator which provide, at the c...
Abstract: Near a stationary solution we consider the Hamiltonian system with such perturba...
A necessary and sufficient condition is given for the unique normal forms about critical elements-eq...
AbstractEquivalence classes of time independent, linear, real Hamiltonian systems can be identified,...
We reconsider the problem of the convergence of Birkhoff's normal form for a system of perturbed ha...
For resonant Hamiltonian systems in Poincaré–Birkhoff normal form, the quadratic part of the Hamilto...