Resonant 1:2 double Hopf bifurcation in an oscillator with delayed feedback

Author:

Gentile F. S.ORCID,Itovich G. R.,Moiola J. L.ORCID

Funder

Universidad Nacional del Sur

Universidad Nacional de Rio Negro

Agencia Nacional de Promoción Científica y Tecnológica

Consejo Nacional de Investigaciones Científicas y Técnicas

Publisher

Springer Science and Business Media LLC

Subject

Electrical and Electronic Engineering,Applied Mathematics,Mechanical Engineering,Ocean Engineering,Aerospace Engineering,Control and Systems Engineering

Reference25 articles.

1. Hopf, E.: Abzweigung einer periodischen Lösung von einer stationären Lösung eines differential systems. Ber. Math. Phys. Klasses Sächs. Akad. Wiss. 94, 3–22 (1942) (Translated in Marsden, J.E., McCracken, M. (eds) The Hopf Bifurcation and Its Applications, pp. 163–205. Springer, New York, 1976)

2. Dhooge, A., Govaerts, W., Kuznetsov, Y.A.: MATCONT: a MATLAB package for numerical bifurcation analysis of ODEs. ACM Trans. Math. Softw. 29, 141–164 (2003)

3. Seydel, R.: Practical Bifurcation and Stability Analysis, 3rd edn. Springer, New York (2009)

4. Kuznetsov, Y.A.: Elements of Applied Bifurcation Theory, 3rd edn. Springer, New York (2004)

5. Hale, J.K.: Nonlinear oscillations in equations with delays. In: Hoppenstadt, K. (ed.) Nonlinear Oscillations in Biology. American Mathematical Society, Providence, RI, pp. 157–185 (1979)

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1. Double Hopf Bifurcation Analysis in the Memory-based Diffusion System;Journal of Dynamics and Differential Equations;2022-06-30

2. Hybrid Methods for Studying Stability and Bifurcations in Delayed Feedback Systems;International Journal of Bifurcation and Chaos;2019-11

3. Hopf Bifurcation Analysis of KdV–Burgers–Kuramoto Chaotic System with Distributed Delay Feedback;International Journal of Bifurcation and Chaos;2019-01

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