The dynamics of timedependent evolution towards symmetry in Hamiltonian systems poses a dicult problem as the analysis has to be global in phasespace For one and two degrees of freedom systems this leads to the presence of one respectively two global adiabatic invariants and also the persistence of asymmetric features over a long tim
This paper contains several results concerning the role of symmetries and singularities in the math...
A geometrical phase is constructed for dissipative dynamical systems possessing continuous symmetrie...
We investigate the problem of symmetry breaking in the framework of dynamical sys-tems with symmetry...
In this paper we study a Hamiltonian system with a spatially asymmetric potential. We are interested...
A natural example of evolution can be described by a time-dependent two degrees-of-freedom Hamiltoni...
A natural example of evolution can be described by a time-dependent two degrees-of- freedom Hamilton...
In this paper, for a symmetric nonlinear oscillator, we show that to the leading order, the adiabati...
Classical adiabatic invariants in actual adiabatic processes possess intrinsic dynamical fluctuation...
In studies in the natural sciences assumptions of symmetries abound spherical symmetry cylindrical s...
A general analysis of symmetries and constraints for singular Lagrangian systems is given. It is sho...
The strict connection between Lie point-symmetries of a dynamical system and its constants of motion...
We present a new setting of the geometric Hamilton-Jacobi theory by using the so-called time-evoluti...
In this article we discuss the symmetries of periodic solutions to Hamiltonian systems with two degr...
A natural and very important development of constrained system theory is a detail study of the relat...
The focus of this thesis is on the study of modulation of symmetric Hamiltonian ODEs andPDEs. We con...
This paper contains several results concerning the role of symmetries and singularities in the math...
A geometrical phase is constructed for dissipative dynamical systems possessing continuous symmetrie...
We investigate the problem of symmetry breaking in the framework of dynamical sys-tems with symmetry...
In this paper we study a Hamiltonian system with a spatially asymmetric potential. We are interested...
A natural example of evolution can be described by a time-dependent two degrees-of-freedom Hamiltoni...
A natural example of evolution can be described by a time-dependent two degrees-of- freedom Hamilton...
In this paper, for a symmetric nonlinear oscillator, we show that to the leading order, the adiabati...
Classical adiabatic invariants in actual adiabatic processes possess intrinsic dynamical fluctuation...
In studies in the natural sciences assumptions of symmetries abound spherical symmetry cylindrical s...
A general analysis of symmetries and constraints for singular Lagrangian systems is given. It is sho...
The strict connection between Lie point-symmetries of a dynamical system and its constants of motion...
We present a new setting of the geometric Hamilton-Jacobi theory by using the so-called time-evoluti...
In this article we discuss the symmetries of periodic solutions to Hamiltonian systems with two degr...
A natural and very important development of constrained system theory is a detail study of the relat...
The focus of this thesis is on the study of modulation of symmetric Hamiltonian ODEs andPDEs. We con...
This paper contains several results concerning the role of symmetries and singularities in the math...
A geometrical phase is constructed for dissipative dynamical systems possessing continuous symmetrie...
We investigate the problem of symmetry breaking in the framework of dynamical sys-tems with symmetry...