On the study of singularities for a planar system with two delays

Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis

Volumn 10, Issue 1-3, 2003, Pages 357-371

  Faria, Teresa ^a  

^a UNIVERSITY OF LISBON   (Portugal)

Author keywords

Bogdanov Takens bifurcation; Bogdanov Takens singularity; Center manifold; Hopf singularity; Normal form

Indexed keywords

EID: 4644363018     PISSN: 12013390     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Conference Paper

References (7)

1. J. Carr, "Applications of Center Manifold Theory", Springer-Verlag, New York, 1981.
2. T. Faria and L. T. Magalhães, Normal forms for retarded functional differential equations and applications to Bogdanov-Takens singularity, J. Differential Equations 122 (1995), 201-224.
3. T. Faria and L. T. Magalhães, Normal forms for retarded functional differential equations with parameters and applications to Hopf singularity, J. Differential Equations 122 (1995), 181-200.
4. J. K. Hale and S. M. Verduyn Lunel, "Introduction to Functional Differential Equations", Springer-Verlag, New-York, 1993.
5. J. K. Hale and S. M. Tanaka, Square and pulse waves with two delays, J. Dynam. Diff. Eq. 12 (2000), 1-30.
6. Y. Kuang, "Delay Differential Equations with Applications in Population Dynamics", Academic Press, Boston, 1993.
7. D. Xiao and S. Ruan, Multiple bifurcations in a delayed predator-prey system with nonmonotonic functional response, J. Differential Equations, 176 (2001), 494-510.