Hopf and zero-Hopf bifurcations in the Hindmarsh-Rose system

DOI10.1007/s11071-015-2429-yzbMath1351.34043OpenAlexW1833545828MaRDI QIDQ335510

Jaume Llibre, Claudio A. Buzzi, João C. R. Medrado

Publication date: 2 November 2016

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

Full work available at URL: https://doi.org/10.1007/s11071-015-2429-y

zbMATH Keywords

periodic solutionsHopf bifurcationHindmarsh-Rose burster

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Bifurcations of singular points in dynamical systems (37G10)

Related Items (10)

Analysis of degenerate fold-Hopf bifurcation in a three-dimensional differential system ⋮ Multiple and generic bifurcation analysis of a discrete Hindmarsh-Rose model ⋮ Transcritical and zero-Hopf bifurcations in the Genesio system ⋮ Integer and fractional order analysis of a 3D system and generalization of synchronization for a class of chaotic systems ⋮ Bursting dynamics and the zero-Hopf bifurcation of simple jerk system ⋮ Using Symbolic Computation to Analyze Zero-Hopf Bifurcations of Polynomial Differential Systems ⋮ Local stability and Hopf bifurcations analysis of the Muthuswamy-Chua-Ginoux system ⋮ Bifurcation analysis of a two-dimensional discrete Hindmarsh-Rose type model ⋮ Zero-Hopf bifurcation in a 3D jerk system ⋮ Retardational Effect and Hopf Bifurcations in a New Attitude System of Quad-Rotor Unmanned Aerial Vehicle

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