TY - JOUR
T1 - On the Integrability of a Four-Prototype Rössler System
AU - Llibre, Jaume
AU - Valls, Claudia
N1 - Publisher Copyright:
© 2023, The Author(s), under exclusive licence to Springer Nature B.V.
PY - 2023/2/16
Y1 - 2023/2/16
N2 - We consider a four-prototype Rossler system introduced by Otto Rössler among others as prototypes of the simplest autonomous differential equations (in the sense of minimal dimension, minimal number of parameters, minimal number of nonlinear terms) having chaotic behavior. We contribute towards the understanding of its chaotic behavior by studying its integrability from different points of view. We show that it is neither Darboux integrable, nor C1-integrable.
AB - We consider a four-prototype Rossler system introduced by Otto Rössler among others as prototypes of the simplest autonomous differential equations (in the sense of minimal dimension, minimal number of parameters, minimal number of nonlinear terms) having chaotic behavior. We contribute towards the understanding of its chaotic behavior by studying its integrability from different points of view. We show that it is neither Darboux integrable, nor C1-integrable.
KW - Exponential factors
KW - First integrals
KW - Invariant algebraic surfaces
KW - Rössler system
UR - http://www.scopus.com/inward/record.url?scp=85148356927&partnerID=8YFLogxK
UR - https://www.mendeley.com/catalogue/b8413aeb-acc7-3c50-9beb-6e310cf27555/
U2 - 10.1007/s11040-023-09449-6
DO - 10.1007/s11040-023-09449-6
M3 - Article
AN - SCOPUS:85148356927
SN - 1385-0172
VL - 26
JO - Mathematical Physics Analysis and Geometry
JF - Mathematical Physics Analysis and Geometry
IS - 1
M1 - 5
ER -