τ-D Decomposition to the One Dimensional Delay Differential Equation by Fixed the Coefficient b&lt;0

Ai Gao

doi:10.4028/www.scientific.net/AMR.785-786.1418

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 785-786τ-D Decomposition to the One Dimensional Delay...

τ-D Decomposition to the One Dimensional Delay Differential Equation by Fixed the Coefficient b<0

Abstract:

In this paper, we provide a partition of the roots of a class of transcendental equation by using τ-D decomposition ,where τ>0,a>0,b<0 and the coefficient b is fixed.According to the partition, one can determine the stability domain of the equilibrium and get a Hopf bifurcation diagram that can provide the Hopf bifurcation curves in the-parameter space, for one dimension delay differential equation .

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Periodical:

Advanced Materials Research (Volumes 785-786)

Pages:

1418-1422

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.785-786.1418

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Online since:

September 2013

Authors:

Ai Gao

Keywords:

Delay, Hopf Bifurcation, Partition, Stability, Transcendental Equation, τ-D Decomposition

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References

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