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Applications of the integral averaging bifurcation method to retarded functional differential equations

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Part of the Lecture Notes in Mathematics book series (LNM,volume 799)

Keywords

  • Periodic Solution
  • Hopf Bifurcation
  • Functional Differential Equation
  • Bifurcation Curve
  • Center Curve

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References

  1. CHOW, S.-N. and MALLET-PARET, J., Integral averaging and bifurcation, J. Diff. Equations, 26(1977), 112–158.

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  2. CHOW, S.-N., Existence of periodic solutions of autonomous functional differential equations, J. Diff. Equations, 15 (1974), 350–378.

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  3. COCKBURN, B., On the equilibrium points of the equation x'(t) F(x(t),x(t−r)). Proc. IV Lat. Ame. Sch. Math. Tech. Rep., no 2 (1979), Departamento de Matematicas, Universidad Nacional de Ingenieria, (1979).

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  4. HALE, J.K., Theory of Functional Differential Equations, Springer-Verlag, (1977).

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  5. HALE, J.K., Behavior near constant solutions of functional differential equations, J. Diff. Equations, 15(1974), 278–294.

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  6. KAZARINOFF, N.D., WAN, Y.H. and DRIESCHE, P. Van der, Hopf bifurcation and stability of periodic solutions of differential-difference and integro-differential equations, J. Inst. Math. Appl., (1978), 461–477.

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  7. RUIZ-CLAEYSSEN, J., The integral averaging bifurcation method and the general one delay equation, Tech. Rep. no 3, (1979), Departamento de Matematicas, Universidad Nacional de Ingenieria.

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  8. RUIZ-CLAEYSSEN, J., Effects of delays on functional differential equations, J. Diff. Equations, (1976), 404–440.

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© 1980 Springer-Verlag

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Ruiz-Claeyssen, J., Cockburn, B. (1980). Applications of the integral averaging bifurcation method to retarded functional differential equations. In: Izé, A.F. (eds) Functional Differential Equations and Bifurcation. Lecture Notes in Mathematics, vol 799. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089324

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  • DOI: https://doi.org/10.1007/BFb0089324

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09986-4

  • Online ISBN: 978-3-540-39251-4

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