Limit cycles bifurcating from a zero-Hopf singularity in arbitrary dimension

DOI10.1007/s11071-018-4115-3zbMath1398.34044OpenAlexW2789523904MaRDI QIDQ1798210

Jaume Llibre, Luis Barreira, Claudia Valls

Publication date: 23 October 2018

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-018-4115-3

zbMATH Keywords

limit cyclesarbitrary dimensionzero-Hopf singularity

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23)

Related Items (5)

Using Symbolic Computation to Analyze Zero-Hopf Bifurcations of Polynomial Differential Systems ⋮ Bifurcation and number of periodic solutions of some \(2n\)-dimensional systems and its application ⋮ Bifurcation of multiple periodic solutions for a class of nonlinear dynamical systems in \((m+4)\)-dimension ⋮ Bifurcation and number of subharmonic solutions of a \(2n\)-dimensional non-autonomous system and its application ⋮ Symbolic computation for the qualitative theory of differential equations

Cites Work

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• Averaging methods for finding periodic orbits via Brouwer degree.
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