Degenerate with respect to parameters fold-Hopf bifurcations

DOI10.3934/DCDS.2017091zbMath1377.37077OpenAlexW2577276871MaRDI QIDQ525581

Gheorghe Tigan

Publication date: 5 May 2017

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2017091

zbMATH Keywords

Hopf bifurcationnormal formbifurcation diagramdegenerate bifurcation

Mathematics Subject Classification ID

Normal forms for dynamical systems (37G05) Bifurcations of singular points in dynamical systems (37G10) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items (4)

Analysis of degenerate fold-Hopf bifurcation in a three-dimensional differential system ⋮ The Real-Valued Maxwell–Bloch Equations with Controls: From a Hamilton–Poisson System to a Chaotic One ⋮ Analysis of Degenerate Chenciner Bifurcation ⋮ Degenerate Fold–Hopf Bifurcations in a Rössler-Type System

Cites Work

• Unnamed Item
• Bifurcation of isolated closed orbits from degenerated singularity in \(\mathbb{R}^{3}\)
• About the unfolding of a Hopf-zero singularity
• On the coexistence of periodic or quasi-periodic oscillations near a Hopf-pitchfork bifurcation in NFDE
• On the symmetries of a Rikitake type system
• The three-dimensional center problem for the zero-Hopf singularity
• Center manifolds and normal forms for a class of retarded functional differential equations with parameter associated with Fold-Hopf singularity
• Classification and unifolding of degenerate Hopf bifurcations with 0(2) symmetry: No distinguished parameter
• Analysis of degenerate fold-Hopf bifurcation in a three-dimensional differential system
• Heteroclinic tangles and homoclinic snaking in the unfolding of a degenerate reversible Hamiltonian-Hopf bifurcation
• Fold-Hopf bifurcation, steady state, self-oscillating and chaotic behavior in an electromechanical transducer with nonlinear control
• Triple-zero bifurcation in van der Pol's oscillator with delayed feedback
• Unfolding the fold-Hopf bifurcation in piecewise linear continuous differential systems with symmetry
• Analysis of a 3D chaotic system
• Heteroclinic bifurcations near Hopf-zero bifurcation in reversible vector fields in \(\mathbb R^3\)
• YET ANOTHER CHAOTIC ATTRACTOR
• A NEW CHAOTIC ATTRACTOR COINED
• On a new chaotic system
• Elements of applied bifurcation theory

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