Stability Switches and Hopf Bifurcations in a Second-Order Complex Delay Equation
The existence of stability switches and Hopf bifurcations for the second-order delay differential equation x′′t+ax′t-τ+bxt=0, t>0, with complex coefficients, is studied in this paper.
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Series: | Mathematical Problems in Engineering |
Online Access: | http://dx.doi.org/10.1155/2017/6798729 |
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doaj-40b54ebfc5c94f8ba6f4d2ec252007432020-11-24T22:02:19ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472017-01-01201710.1155/2017/67987296798729Stability Switches and Hopf Bifurcations in a Second-Order Complex Delay EquationM. Roales0F. Rodríguez1Department of Applied Mathematics, University of Alicante, Apdo. 99, 03080 Alicante, SpainDepartment of Applied Mathematics, University of Alicante, Apdo. 99, 03080 Alicante, SpainThe existence of stability switches and Hopf bifurcations for the second-order delay differential equation x′′t+ax′t-τ+bxt=0, t>0, with complex coefficients, is studied in this paper.http://dx.doi.org/10.1155/2017/6798729 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
M. Roales F. Rodríguez |
spellingShingle |
M. Roales F. Rodríguez Stability Switches and Hopf Bifurcations in a Second-Order Complex Delay Equation Mathematical Problems in Engineering |
author_facet |
M. Roales F. Rodríguez |
author_sort |
M. Roales |
title |
Stability Switches and Hopf Bifurcations in a Second-Order Complex Delay Equation |
title_short |
Stability Switches and Hopf Bifurcations in a Second-Order Complex Delay Equation |
title_full |
Stability Switches and Hopf Bifurcations in a Second-Order Complex Delay Equation |
title_fullStr |
Stability Switches and Hopf Bifurcations in a Second-Order Complex Delay Equation |
title_full_unstemmed |
Stability Switches and Hopf Bifurcations in a Second-Order Complex Delay Equation |
title_sort |
stability switches and hopf bifurcations in a second-order complex delay equation |
publisher |
Hindawi Limited |
series |
Mathematical Problems in Engineering |
issn |
1024-123X 1563-5147 |
publishDate |
2017-01-01 |
description |
The existence of stability switches and Hopf bifurcations for the second-order delay differential equation x′′t+ax′t-τ+bxt=0, t>0, with complex coefficients, is studied in this paper. |
url |
http://dx.doi.org/10.1155/2017/6798729 |
work_keys_str_mv |
AT mroales stabilityswitchesandhopfbifurcationsinasecondordercomplexdelayequation AT frodriguez stabilityswitchesandhopfbifurcationsinasecondordercomplexdelayequation |
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1725836528658153472 |