Period function for perturbed isochronous centres

Qualitative Theory of Dynamical Systems

Volumn 3, Issue 1, 2002, Pages 275-284

  Freire, Emilio ^a   Gasull, Armengol ^b   Guillamon, Antoni ^c  

^a UNIVERSITY OF SEVILLE   (Spain)

^b UNIVERSITAT AUTÒNOMA DE BARCELONA   (Spain)

^c UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84896692681     PISSN: 15755460     EISSN: 16623592     Source Type: Journal    
DOI: 10.1007/BF02969341     Document Type: Article

References (10)

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2. C. Chicone, M. Jacobs. Bifurcations of critical periods for plane vector fields, Trans. Amer. Math. Soc. 312 (1989), 433-486.
3. C.J. Christopher, J. Devlin. Isochronous centers in planar polynomial systems, SIAM J. Math. Anal. 28 (1997), 162-177.
4. J.P. Françoise. The first derivative of the period function of a plane vector field, Publicacions Matemátiques, 41 (1997), 127-134.
5. J.P. Françoise. The successive derivatives of the period function of a plane vector field, J. Differential Equations, 146 (1998), 320-335.
6. E. Freire, A. Gasull, A. Guillamon. A characterization of isochronous centres in terms of symmetries, to appear in Revista Mateḿatica Iberoamericana.
7. S. Lefschetz. Differential equations: geometric theory, Dover Publications, Inc., New York, 1977.
8. W.S. Loud. Behavior of the period of solutions of certain plane autonomous systems near centers, Contributions to Differential Equations 3 (1964), 21-36.
9. M. Sabatini. Characterizing isochronous centres by Lie brackets, Diff. Eq. Dyn. Sys., 5, 91-99 (1997).
10. M. Villarini. Regularity properties of the period function near a centre of a planar vector field, Nonlinear Analysis T.M.A. 19 (1992), 787-803.