Bifurcation of periodic solutions of delay differential equation with two delays

Journal of Mathematical Analysis and Applications

Volumn 284, Issue 2, 2003, Pages 548-563

  Bi, Ping ^a   Han, Maoan ^a   Wu, Yuhai ^a  

^a SHANGHAI JIAO TONG UNIVERSITY   (China)

Author keywords

Bifurcation; Delay; Periodic solution

Indexed keywords

EID: 0042353643     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-247X(03)00353-6     Document Type: Article

References (11)

1. M. Han, The Periodic Solution of Dynamical Systems and Bifurcation Theory, Science Press, Beijing, 2002.
2. M. Han, Bifurcations of periodic solutions of delay differential equations, J. Differential Equations, to appear.
3. A. Cima, J. Li, J. Llibre, Periodic solutions of delay differential equations with two delay via bi-Hamiltonian systems, Ann. Differential Equations 17 (2001) 205-214.
4. Z. Liu, J. Li, Periodic Solutions of Hamilton System and Delay Differential Equations, Science Press, Beijing, 1996.
5. M. Xu, The existence and uniqueness of periodic solutions for a class of difference equation, J. Shandong Mining Inst. 13 (1994) 298-304.
6. A. Gasull, A. Guillamon, V. Manosa, An explicit expression of the first Liapunov and period constant with application, J. Math. Anal. Appl. 211 (1997) 190-212.
7. M. Han, On the existence of symmetric periodic solutions of a differential difference equation, in: Differential Equations and Control Theory, in: Lecture Notes in Pure and Applied Math. Series, Vol. 176, Dekker, 1995, pp. 73-77.
8. S. Li, Theory of Functional Differential Equations, Science and Technology Press, Hunan, 1985.
9. J. Kaplan, J. Yorke, Ordinary differential equations which yield periodic solutions of differential delay equations, J. Math. Anal. Appl. 48 (1974) 317-324.
10. J. Kaplan, J. Yorke, On the nonlinear differential delay equation x (t) = - f (x(t), x(t - 1)), J. Differential Equations 23 (1977) 293-314.
11. W. Ge, Periodic solutions of delay differential equations with two delays, J. Systems Sci. Math. Sci. 15 (1995) 83-96.