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Proyecciones (Antofagasta)

Print version ISSN 0716-0917

Proyecciones (Antofagasta) vol.19 no.2 Antofagasta Aug. 2000

http://dx.doi.org/10.4067/S0716-09172000000200006 

THE PERIOD FUNCTION IN A CLASS OF QUADRATIC KOLMOGOROFF SYSTEMS *

MARCO URIBE S.
Univ. Católica de la Santísima Concepción, Chile

and

MYRNA WALLACE
Universidad de Concepción, Chile

Reference

[1]Chicone C. and Jacob M. Bifurcation of critical periods for plane vector fields. Trans. Amer. Math. Soc. 312, N 12, (1989).         [ Links ]

[2] Chicone C. The monotonicity of period function for planar hamiltonian vector fields. Journal of Differential Equation 69, (1987).         [ Links ]

[3] Gasull A., Guillamon A. and Mañosa V. An expression for the first Liapunov and period constants with application. Preprint, Universidad Autonoma de Barcelona, España.         [ Links ]

[4] Gasull A., Guillamon A. and Mañosa V. Center and Isochronicity conditions for systems  with homogeneus nonlinearities. Proceeding of the 2ª catalan days on apllied mathematics. (1995).         [ Links ]

[5] Van Horssen W and Reyn J. Bifurcation of limit cycles in a particular class of quadratic systems. Differential and Integral Equation Vol. 8, N 4, (1995).         [ Links ]

*Partially supported by a Grant of Universidad de Concepcion P.I. 98.015.011-1.0

Received: October 1999.

Marco Uribe S.
Area de Ciencias Básicas
Facultad de Ingeniería
Universidad de la Santísima Concepción
Casilla 297-V
Concepción

and

Myrna Wallace C.
Departamento de Matemática
Facultad de Ciencias Físicas y Matemáticas
Universidad de Concepción
Casilla 20-C
Concepción

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