Add to ORKGWe study some properties of multidimensional Hamiltonian sys-tems in the adiabatic limit. Using the properties of the Poincaré-Cartan invariant we show that in the integrable case conservation of action requires conditions on the frequencies together with conserva-tion of the product of energy and period. In the ergodic case the most general conserved quantity is not volume but rather symplectic ca-pacity; we prove that even in this case there are periodic orbits whose actions are conserved.
In a two-dimensional space where a point particle interacts with a diatomic fragment, the action int...
We show that recent results on adiabatic theory for interacting gapped many-body systems on finite l...
It is known that for multi-level time-dependent quantum systems one can construct superadiabatic rep...
Symplectic methods, like the Verlet method, are a standard tool for the long term integration of Ham...
Trapping phenomena involving non-linear resonances have been considered in the past in the framework...
In many problems of classical mechanics and theoretical physics dynamics can be described as a slow ...
We study the accuracy of the conservation of adiabatic invariants in a model of n weakly coupled rot...
In the quest for a mathematically rigorous foundation of Statistical Physics in general, and Statist...
Adiabatic invariants for dynamical systems with one degree of freedom are derived. The method develo...
We consider one-dimensional classical time-dependent Hamiltonian systems with quasi-periodic orbits....
This volume collects three series of lectures on applications of the theory of Hamiltonian systems, ...
In classical mechanics, we are sometimes lucky enough to encounter an integrable system, one in whic...
In this paper, for a symmetric nonlinear oscillator, we show that to the leading order, the adiabati...
The long time–evolution of disturbances to slowly–varying solutions of partial differential equation...
The adiabatic theorem is a fundamental result in quantum mechanics, which states that a system can b...
In a two-dimensional space where a point particle interacts with a diatomic fragment, the action int...
We show that recent results on adiabatic theory for interacting gapped many-body systems on finite l...
It is known that for multi-level time-dependent quantum systems one can construct superadiabatic rep...
Symplectic methods, like the Verlet method, are a standard tool for the long term integration of Ham...
Trapping phenomena involving non-linear resonances have been considered in the past in the framework...
In many problems of classical mechanics and theoretical physics dynamics can be described as a slow ...
We study the accuracy of the conservation of adiabatic invariants in a model of n weakly coupled rot...
In the quest for a mathematically rigorous foundation of Statistical Physics in general, and Statist...
Adiabatic invariants for dynamical systems with one degree of freedom are derived. The method develo...
We consider one-dimensional classical time-dependent Hamiltonian systems with quasi-periodic orbits....
This volume collects three series of lectures on applications of the theory of Hamiltonian systems, ...
In classical mechanics, we are sometimes lucky enough to encounter an integrable system, one in whic...
In this paper, for a symmetric nonlinear oscillator, we show that to the leading order, the adiabati...
The long time–evolution of disturbances to slowly–varying solutions of partial differential equation...
The adiabatic theorem is a fundamental result in quantum mechanics, which states that a system can b...
In a two-dimensional space where a point particle interacts with a diatomic fragment, the action int...
We show that recent results on adiabatic theory for interacting gapped many-body systems on finite l...
It is known that for multi-level time-dependent quantum systems one can construct superadiabatic rep...