Add to ORKGThis paper deals with the Euler equations on the Lie Algebra so(4). These equations are given by a polynomial differential system in R6. We prove that this differential system has four 3-dimensional invariant manifolds and we give a complete description of its dynamics on these invariant manifolds. In particular, each of these invariant manifolds are fulfilled by periodic orbits except in a zero Lebesgue measure set
The dynamics of a differential algebraic equation takes place on a lower dimensional manifold in pha...
dedicated to professor jack k. hale on the occasion of his 70th birthday The simplification resultin...
We compute cohomology spaces of Lie algebras that describe differential invariants of third order o...
This paper deals with the Euler equations on the Lie Algebra so(4). These equations are given by a p...
The article studies geometrically the Euler-Arnold equations as-sociated to geodesic flow on SO(4) f...
We consider the Euler equations on the Lie algebra so(4,C) with a diagonal quadratic Hamiltonian. It...
One of important characteristics in qualitative analysis of the phase space of mechan-ical systems, ...
We consider the Euler equations on the Lie algebra so(4,C) with a diagonal quadratic Hamiltonian. It...
El títol de la versió pre-print de l'article és: On the integrability and polynomial integrability o...
AbstractThe simplification resulting from reduction of dimension involved in the study of invariant ...
This project is about dynamical systems with symmetries. A dynamical system defines a vector field o...
University of Minnesota Ph.D. dissertation. August 2009. Major: Mathematics. Advisor: Vladimir Svera...
A methodology to calculate the approximate invariant manifolds of dynamical systems defined through ...
AbstractWe show that the following three systems related to various hydrodynamical approximations: t...
In this article, we present a geometric framework to study invariant sets of dynamical systems asso...
The dynamics of a differential algebraic equation takes place on a lower dimensional manifold in pha...
dedicated to professor jack k. hale on the occasion of his 70th birthday The simplification resultin...
We compute cohomology spaces of Lie algebras that describe differential invariants of third order o...
This paper deals with the Euler equations on the Lie Algebra so(4). These equations are given by a p...
The article studies geometrically the Euler-Arnold equations as-sociated to geodesic flow on SO(4) f...
We consider the Euler equations on the Lie algebra so(4,C) with a diagonal quadratic Hamiltonian. It...
One of important characteristics in qualitative analysis of the phase space of mechan-ical systems, ...
We consider the Euler equations on the Lie algebra so(4,C) with a diagonal quadratic Hamiltonian. It...
El títol de la versió pre-print de l'article és: On the integrability and polynomial integrability o...
AbstractThe simplification resulting from reduction of dimension involved in the study of invariant ...
This project is about dynamical systems with symmetries. A dynamical system defines a vector field o...
University of Minnesota Ph.D. dissertation. August 2009. Major: Mathematics. Advisor: Vladimir Svera...
A methodology to calculate the approximate invariant manifolds of dynamical systems defined through ...
AbstractWe show that the following three systems related to various hydrodynamical approximations: t...
In this article, we present a geometric framework to study invariant sets of dynamical systems asso...
The dynamics of a differential algebraic equation takes place on a lower dimensional manifold in pha...
dedicated to professor jack k. hale on the occasion of his 70th birthday The simplification resultin...
We compute cohomology spaces of Lie algebras that describe differential invariants of third order o...