Geodesic
Commutators and linearizations of isochronous centers
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 11 (2000) no. 2, pp. 81-98

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

Zbl   MR

We study isochronous centers of some classes of plane differential systems. We consider systems with constant angular speed, both with homogeneous and nonhomogenous nonlinearities. We show how to construct linearizations and first integrals of such systems, if a commutator is known. Commutators are found for some classes of systems. The results obtained are used to prove the isochronicity of some classes of centers, and to find first integrals for a class of Liénard equations with isochronous centers. 
Mazzi, Luisa; Sabatini, Marco. Commutators and linearizations of isochronous centers. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 11 (2000) no. 2, pp. 81-98. http://geodesic.mathdoc.fr/item/RLIN_2000_9_11_2_a1/
@article{RLIN_2000_9_11_2_a1,
     author = {Mazzi, Luisa and Sabatini, Marco},
     title = {Commutators and linearizations of isochronous centers},
     journal = {Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni},
     pages = {81--98},
     year = {2000},
     volume = {Ser. 9, 11},
     number = {2},
     zbl = {0973.34020},
     mrnumber = {MR1797513},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RLIN_2000_9_11_2_a1/}
}
TY  - JOUR
AU  - Mazzi, Luisa
AU  - Sabatini, Marco
TI  - Commutators and linearizations of isochronous centers
JO  - Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni
PY  - 2000
SP  - 81
EP  - 98
VL  - 11
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/RLIN_2000_9_11_2_a1/
LA  - en
ID  - RLIN_2000_9_11_2_a1
ER  - 
%0 Journal Article
%A Mazzi, Luisa
%A Sabatini, Marco
%T Commutators and linearizations of isochronous centers
%J Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni
%D 2000
%P 81-98
%V 11
%N 2
%U http://geodesic.mathdoc.fr/item/RLIN_2000_9_11_2_a1/
%G en
%F RLIN_2000_9_11_2_a1