Naimark-Sacker Bifurcations in the Euler Method for a Delay Differential Equation

BIT Numerical Mathematics

Volumn 39, Issue 1, 1999, Pages 110-115

  Koto, T ^a  

^a UNIVERSITY OF ELECTRO COMMUNICATIONS   (Japan)

Author keywords

Delay differential equations; Naimark Sacker bifurcations; The Euler method

Indexed keywords

EID: 0006811833     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1022373309178     Document Type: Article

References (7)

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3. K. in 't Hout and C. Lubich, Periodic orbits of delay differential equations under discretization, BIT, 38 (1998), pp. 72-91.
4. G. Ioose, Bifurcation of Maps and Applications, North-Holland, Amsterdam, 1979.
5. n-k = 0, J. Math. Anal. Appl. 188 (1994), pp. 719-731.
6. S. A. Levin and R. M. May, A note on difference-delay equations, Theoret. Popul. Biol. 9 (1976), pp. 178-187.
7. S. Wiggins, Introduction to Applied Nonlinear Dynamical Systems and Chaos, Springer-Verlag, Berlin, 1990.