TY - JOUR
T1 - On the dynamics of the Euler equations on so(4)
AU - Buzzi, Claudio A.
AU - Llibre, Jaume
AU - Pazim, Rubens
N1 - Publisher Copyright:
© 2019, © 2019 Informa UK Limited, trading as Taylor & Francis Group.
PY - 2020/4/2
Y1 - 2020/4/2
N2 - This paper deals with the Euler equations on the Lie Algebra so(4). These equations are given by a polynomial differential system in (Formula presented.). 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.
AB - This paper deals with the Euler equations on the Lie Algebra so(4). These equations are given by a polynomial differential system in (Formula presented.). 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.
KW - Euler equations on so(4)
KW - periodic orbits
KW - reversible systems
UR - http://www.scopus.com/inward/record.url?scp=85077075870&partnerID=8YFLogxK
U2 - 10.1080/14689367.2019.1703906
DO - 10.1080/14689367.2019.1703906
M3 - Article
AN - SCOPUS:85077075870
SN - 1468-9367
VL - 35
SP - 361
EP - 368
JO - Dynamical systems : An International Journal
JF - Dynamical systems : An International Journal
IS - 2
ER -