TY  - JOUR 
AU  - Cano Torres, José María
AU  - Sendra Pons, Juan Rafael
AU  - Falkensteiner, Sebastian
AU  - Robertz, Daniel
PY  - 2023
SN  - 0747-7171
UR  - https://uvadoc.uva.es/handle/10324/64910
AB  - In this paper we study systems of autonomous algebraic ODEs in several differential indeterminates. We develop a notion of algebraic dimension of such systems by considering them as algebraic systems. Afterwards we apply differential elimination and...
LA  - spa
PB  - Springer
KW  - Matemáticas
KW  - Algebraic autonomous ordinary differential equation Puiseux series solution Convergent solution Artin approximation Algebraic solution Thomas decomposition
TI  - Algebraic and Puiseux series solutions of systems of autonomous algebraic ODEs of dimension one in several variables
DO  - 10.1016/j.jsc.2022.04.012
ER  -