RT Journal Article
T1 New proof and generalizations of the Demidowitsch-Schneider criterion
A1 Giraldo Suárez, Luis
A1 Gascón, Francisco G.
AB Analysis of the question whether or not a given dynamical system has closed trajectories is of great importance for applications and represents independent theoretical interest. The authors give a new geometrical proof of the extension of the Bendixson-Dulac criterion on the absence of closed trajectories in R3 obtained by V. B. Demidovich [Z. Angew. Math. Mech. 46, 145-146 (1966; Zbl 0138.33303)] and corrected later by K. R. Schneider [Z. Angew. Math. Mech. 49, 441-443 (1969; Zbl 0186.15603)]. Due to the flexibility of the new approach, extensions of the Demidovich criterion to several directions have been obtained. Illustrative examples are considered and someopen problems are discussed.
PB American Institute of Physics
SN 1089-7658
YR 2000
FD 2000
LK https://hdl.handle.net/20.500.14352/57586
UL https://hdl.handle.net/20.500.14352/57586
LA eng
NO D.G.E.S.
DS Docta Complutense
RD 3 may 2024