Add to ORKGApproximate first integrals (conserved quantities) of a Hamiltonian dynamical system with two-degrees of freedom which arises in the modeling of galaxy have been obtained based on the approximate Noether symmetries for the resonance ω1 = ω2. Furthermore, Kolmogorov-Arnold-Moser (KAM) curves have been obtained analytically and they have been compared with the numerical ones on the Poincaré surface of section.Quaestiones Mathematicae 30(2007), 483–497
One of important characteristics in qualitative analysis of the phase space of mechan-ical systems, ...
We construct symplectic invariants for Hamiltonian integrable sys-tems of 2 degrees of freedom posse...
Hamiltonian systems with two degrees of freedom, for example, two coupled oscillators, are the simpl...
Approximate Noether symmetries of a Hamiltonian system with two-degrees of freedom have been determi...
Approximate generalized symmetries associated with the resonances of conservative dynamical systems ...
A rescale of the phase space for a family of two-dimensional, nonlinear Hamiltonian mappings was mad...
International audienceAbstract (2,250 Maximum Characters): We investigate the behavior of two bodies...
In this article, the formulation of first-order approximate Mei symmetries and Mei invariants of the...
We determine approximate numerical integrals of motion of 2D symmetric Hamiltonian systems. We detai...
We construct an approximate renormalization scheme for Hamiltonian systems with two degrees of freed...
The approximate partial Noether operators for a system of two coupled van der Pol oscillators with l...
The different natures of approximate symmetries and their corresponding first inte-grals/invariants ...
Numerical methods of resonant dynamics with applications to the Galaxy are considered in this thesis...
The first integrals of the equation of motion by using elements of nonlinear functional analysis was...
Noether theorem establishes an interesting connection between symmetries of the action integral and ...
One of important characteristics in qualitative analysis of the phase space of mechan-ical systems, ...
We construct symplectic invariants for Hamiltonian integrable sys-tems of 2 degrees of freedom posse...
Hamiltonian systems with two degrees of freedom, for example, two coupled oscillators, are the simpl...
Approximate Noether symmetries of a Hamiltonian system with two-degrees of freedom have been determi...
Approximate generalized symmetries associated with the resonances of conservative dynamical systems ...
A rescale of the phase space for a family of two-dimensional, nonlinear Hamiltonian mappings was mad...
International audienceAbstract (2,250 Maximum Characters): We investigate the behavior of two bodies...
In this article, the formulation of first-order approximate Mei symmetries and Mei invariants of the...
We determine approximate numerical integrals of motion of 2D symmetric Hamiltonian systems. We detai...
We construct an approximate renormalization scheme for Hamiltonian systems with two degrees of freed...
The approximate partial Noether operators for a system of two coupled van der Pol oscillators with l...
The different natures of approximate symmetries and their corresponding first inte-grals/invariants ...
Numerical methods of resonant dynamics with applications to the Galaxy are considered in this thesis...
The first integrals of the equation of motion by using elements of nonlinear functional analysis was...
Noether theorem establishes an interesting connection between symmetries of the action integral and ...
One of important characteristics in qualitative analysis of the phase space of mechan-ical systems, ...
We construct symplectic invariants for Hamiltonian integrable sys-tems of 2 degrees of freedom posse...
Hamiltonian systems with two degrees of freedom, for example, two coupled oscillators, are the simpl...