TY - JOUR
T1 - On the polynomial integrability of a system motivated by the Riemann ellipsoid problem
AU - Llibre, Jaume
AU - Valls, Clàudia
PY - 2016/7/1
Y1 - 2016/7/1
N2 - © EDP Sciences, SMAI 2016. We consider differential systems obtained by coupling two Euler-Poinsot systems. The motivation to consider such systems can be traced back to the Riemann ellipsoid problem. We provide new cases for which these systems are completely integrable. We also prove that these systems either are completely integrable or have at most four functionally independent analytic first integrals.
AB - © EDP Sciences, SMAI 2016. We consider differential systems obtained by coupling two Euler-Poinsot systems. The motivation to consider such systems can be traced back to the Riemann ellipsoid problem. We provide new cases for which these systems are completely integrable. We also prove that these systems either are completely integrable or have at most four functionally independent analytic first integrals.
KW - Complete integrability
KW - Euler-Poinsot systems
KW - Homogeneous differential systems
KW - Polynomial first integrals
KW - Riemann ellipsoid problem
U2 - 10.1051/cocv/2015035
DO - 10.1051/cocv/2015035
M3 - Article
SN - 1292-8119
VL - 22
SP - 872
EP - 882
JO - ESAIM - Control, Optimisation and Calculus of Variations
JF - ESAIM - Control, Optimisation and Calculus of Variations
IS - 3
ER -