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Hopf bifurcation formula for first order differential-delay equations - MaRDI portal

Hopf bifurcation formula for first order differential-delay equations (Q876070)

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scientific article; zbMATH DE number 5143650
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Hopf bifurcation formula for first order differential-delay equations
scientific article; zbMATH DE number 5143650

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    Hopf bifurcation formula for first order differential-delay equations (English)
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    16 April 2007
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    The authors consider a class of first order constant coefficient differential-delay equations. Using Lindstedt's perturbation method, they obtain an explicit formula for determing the radius of a limit cycle which appears in a Hopf bifurcation. This is an analogue for ordinary differential equations and the approach is the same as that for the ordinary differential equation case.
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    Hopf bifurcation
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    differential-delay equation
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    Lindstedt's perturbation method
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    periodic solution
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