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
A canonical transformation changes variables such as coordinates and momenta to new variables preser...
We reconsider the problem of the convergence of Birkhoff's normal form for a system of perturbed ha...
We reconsider the problem of the convergence of Birkhoff's normal form for a system of perturbed ha...
Abstract. We consider a class of perturbations of the 2D harmonic oscillator, and of some other dyna...
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...
Abstract: First we consider the linear periodic Hamiltonian systems. For them we find norm...
Consider a Hamiltonian PDE having an elliptic equilibrium at zero. Assuming a suitable condition on ...
We present a semiclassical method of calculating vibrational energy levels for a system of nonsepara...
Abstract: Near a stationary solution we consider the Hamiltonian system with such perturba...
Bifurcations of periodic orbits as an external parameter is varied are a characteristic feature of g...
AbstractEquivalence classes of time independent, linear, real Hamiltonian systems can be identified,...
We study a pair of canonoid (fouled) Hamiltonians of the harmonic oscillator which provide, at the c...
A necessary and sufficient condition is given for the unique normal forms about critical elements-eq...
A canonical transformation changes variables such as coordinates and momenta to new variables preser...
We reconsider the problem of the convergence of Birkhoff's normal form for a system of perturbed ha...
We reconsider the problem of the convergence of Birkhoff's normal form for a system of perturbed ha...
Abstract. We consider a class of perturbations of the 2D harmonic oscillator, and of some other dyna...
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...
Abstract: First we consider the linear periodic Hamiltonian systems. For them we find norm...
Consider a Hamiltonian PDE having an elliptic equilibrium at zero. Assuming a suitable condition on ...
We present a semiclassical method of calculating vibrational energy levels for a system of nonsepara...
Abstract: Near a stationary solution we consider the Hamiltonian system with such perturba...
Bifurcations of periodic orbits as an external parameter is varied are a characteristic feature of g...
AbstractEquivalence classes of time independent, linear, real Hamiltonian systems can be identified,...
We study a pair of canonoid (fouled) Hamiltonians of the harmonic oscillator which provide, at the c...
A necessary and sufficient condition is given for the unique normal forms about critical elements-eq...
A canonical transformation changes variables such as coordinates and momenta to new variables preser...
We reconsider the problem of the convergence of Birkhoff's normal form for a system of perturbed ha...
We reconsider the problem of the convergence of Birkhoff's normal form for a system of perturbed ha...
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