JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 卷:329 |
A remark on the ODE with two discrete delays | |
Article | |
Piotrowska, M. J. | |
关键词: delays; stability analysis; Hopf bifurcation; stability switches; | |
DOI : 10.1016/j.jmaa.2006.06.078 | |
来源: Elsevier | |
【 摘 要 】
The aim of this paper is to outline a formal framework for the analytical analysis of the Hopf bifurcations in the delay differential equations with two independent time delays. Some results for the differential-difference equations with two delays, when the both of the coefficients of linearized equation are negative were obtained in [X. Li, S. Ruan, J. Wei, Stability and bifurcation in delay-differential equations with two delays, J. Math. Anal. Appl. 236 (1999) 254-280]. In the paper we present some remarks on the case studied in [X. Li, S. Ruan, J. Wei, Stability and bifurcation in delay-differential equations with two delays, J. Math. Anal. Appl. 236 (1999) 254-280] and also two other cases, namely when the coefficients of linearized equation have different signs and when coefficients are both positive. (c) 2006 Elsevier Inc. All rights reserved.
【 授权许可】
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