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.

Bibliographic Details
Main Authors: M. Roales, F. Rodríguez
Format: Article
Language:English
Published: Hindawi Limited 2017-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2017/6798729
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spelling 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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