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Conference papers

Multiple Hopf bifurcations in coupled networks of planar systems

Abstract : In this communication, we study coupled networks built with non-identical instances of a dynamical system exhibiting a Hopf bifurcation. We first show how the coupling generates the birth of multiple limit cycles. Next, we project those coupled networks in the real plane, and construct a polynomial Hamiltonian system of degree n, admitting O(n 2) non-degenerate centers. We explore various perturbations of that Hamiltonian system and implement an algorithm for the symbolic computation of the Melnikov coefficients.
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Contributor : Guillaume CANTIN Connect in order to contact the contributor
Submitted on : Thursday, November 16, 2017 - 12:57:38 PM
Last modification on : Friday, April 1, 2022 - 1:40:01 PM
Long-term archiving on: : Saturday, February 17, 2018 - 3:52:56 PM


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  • HAL Id : hal-01636245, version 1



Guillaume Cantin, M A Aziz-Alaoui, Nathalie Verdière, Valentina Lanza. Multiple Hopf bifurcations in coupled networks of planar systems. WANCSA 2017, Jul 2017, LE HAVRE, France. ⟨hal-01636245⟩



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