TY - JOUR
T1 - A numerical verification method for a periodic solution of a delay differential equation
AU - Minamoto, Teruya
AU - Nakao, Mitsuhiro T.
PY - 2010/12/1
Y1 - 2010/12/1
N2 - We describe a numerical method with guaranteed accuracy to enclose a periodic solution for a system of delay differential equations. Using a certain system of equations corresponding to the original system, we derive sufficient conditions for the existence of the solution, the satisfaction of which can be verified computationally. We describe the verification procedure in detail and give a numerical example.
AB - We describe a numerical method with guaranteed accuracy to enclose a periodic solution for a system of delay differential equations. Using a certain system of equations corresponding to the original system, we derive sufficient conditions for the existence of the solution, the satisfaction of which can be verified computationally. We describe the verification procedure in detail and give a numerical example.
KW - Delay differential equation
KW - Delayed feedback control
KW - Numerical computation with guaranteed accuracy
KW - Rssler system
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U2 - 10.1016/j.cam.2010.07.018
DO - 10.1016/j.cam.2010.07.018
M3 - Article
AN - SCOPUS:77957892615
SN - 0377-0427
VL - 235
SP - 870
EP - 878
JO - Journal of Computational and Applied Mathematics
JF - Journal of Computational and Applied Mathematics
IS - 3
ER -