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Hopf Bifurcation for a \(\varphi \)-Laplacian Liénard System

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Abstract

In this paper, we mainly focus on a \(\varphi \)-Laplacian Liénard system on the plane and study its Hopf bifurcation by establishing an algebraic method to obtain equivalent focus values. As applications, several concrete systems are considered for the Hopf cyclicity.

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Acknowledgements

This work was supported by National Natural Science Foundation of China (11671013) and Natural Science Foundation of Anhui Province (1308085MA08).

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Correspondence to Feng Liang.

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Liang, F., Feng, T. Hopf Bifurcation for a \(\varphi \)-Laplacian Liénard System. Qual. Theory Dyn. Syst. 17, 203–218 (2018). https://doi.org/10.1007/s12346-016-0217-9

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  • DOI: https://doi.org/10.1007/s12346-016-0217-9

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