On stability and bifurcation of periodic solutions of delay differential equations
The purpose of this paper is to study a class of delay differential equations with two delays. first, we consider the existence of periodic solutions for some delay differential equations. Second, we investigate the local stability of the zero solution of the equation by analyzing the correlocal sta...
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Published in | Journal of applied mathematics & computing Vol. 19; no. 1-2; pp. 281 - 295 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Dordrecht
Springer Nature B.V
01.03.2005
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Subjects | |
Online Access | Get full text |
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Summary: | The purpose of this paper is to study a class of delay differential equations with two delays. first, we consider the existence of periodic solutions for some delay differential equations. Second, we investigate the local stability of the zero solution of the equation by analyzing the correlocal stability of the zero solution of the equation by analyzing the corresponding characteristic equation of the linearized equation. The exponential stability of a perturbed delay differential system with a bounded lag is studied. Finally, by choosing one of the delays as a bifurcation parameter, we show that the equation exhibits Hopf and saddle-node bifurcations. |
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Bibliography: | ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23 |
ISSN: | 1598-5865 1865-2085 |
DOI: | 10.1007/BF02935805 |