Non-periodic isochronous oscillations in plane differential systems

Annali di Matematica Pura ed Applicata

Volumn 182, Issue 4, 2003, Pages 487-501

  Sabatini, M ^a  

^a UNIVERSITY OF TRENTO   (Italy)

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[No Author keywords available]

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EID: 27544510243     PISSN: 03733114     EISSN: 16181891     Source Type: Journal    
DOI: 10.1007/s10231-003-0078-0     Document Type: Article

References (11)

1. Arnold, V.I.: Geometrical methods in the theory of ordinary differential equations. New York 1983
2. Chavarriga, J., Sabatini, M.: A survey of isochronous centers. Qual. Theory Dyn. Syst. 1, 1-70 (1999)
3. Chicone, C.: Ordinary differential equations with applications. Berlin: Springer 1999
4. 2. Lect. Notes Pure Appl. Math., Vol. 152, pp. 21-31. New York: M. Dekker 1994
5. Graef, J.R.: On the generalized Liénard equation with negative damping. J. Differ. Equations 12, 34-62 (1972)
6. Guckenheimer, J.: Isochrons and phaseless sets. J. Math. Biol. 1, 259-273 (1975)
7. Mardešić, P., Rousseau C., Toni, B.: Linearization of isochronous centers. J. Differ. Equations 121, 67-108 (1995)
8. Mazzi, L., Sabatini, M.: Commutators and linearizations of isochronous centers. Rend. Mat. Acc. Lincei, IX. Ser. 11, 81-98 (2000)
9. Sabatini, M.: Dynamics of commuting systems on two-dimensional manifolds. Ann. Mat. Pura Appl., IV. Ser. 173, 213-232 (1997)
10. Sabatini, M.: On the period function of Liénard systems. J. Differ. Equations 152, 467-487 (1999)
11. Villarini, M.: Regularity properties of the period function near a centre of a planar vector field. Nonlinear Anal., Theory Methods Appl. 19, 787-803 (1992)