TY - JOUR
T1 - Non-integrability of the degenerate cases of the winging atwood's machine using higher order variational equations
AU - Martínez, Regina
AU - Simó, Carles
PY - 2011/1/1
Y1 - 2011/1/1
N2 - Non-integrability criteria, based on differential Galois theory and requiring the use of higher order variational equations (VEk), are applied to prove the non-integrability of the Swinging Atwood's Machine for values of the parameter which can not be decided using first order variational equations (VE1).
AB - Non-integrability criteria, based on differential Galois theory and requiring the use of higher order variational equations (VEk), are applied to prove the non-integrability of the Swinging Atwood's Machine for values of the parameter which can not be decided using first order variational equations (VE1).
UR - https://www.scopus.com/pages/publications/79954626486
U2 - 10.3934/dcds.2011.29.1
DO - 10.3934/dcds.2011.29.1
M3 - Article
SN - 1078-0947
VL - 29
SP - 1
EP - 24
JO - Discrete and Continuous Dynamical Systems
JF - Discrete and Continuous Dynamical Systems
IS - 1
ER -