A planar model system for the saddle–node Hopf bifurcation with global reinjection

DOI10.1088/0951-7715/17/4/001zbMath1061.37028OpenAlexW2049810622MaRDI QIDQ4821895

Bernd Krauskopf, Bart E. Oldeman

Publication date: 22 October 2004

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/17/4/001

zbMATH Keywords

symmetric systemsglobal reinjectionsaddle-node Hopf bifurcationunfolding of vetor field

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Bifurcations of singular points in dynamical systems (37G10) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (4)

Pitchfork bifurcations of invariant manifolds ⋮ Hopf saddle-node bifurcation for fixed points of 3D-diffeomorphisms: Analysis of a resonance `bubble' ⋮ Remarks on interacting Neimark–Sacker bifurcations ⋮ Chaotic switching in driven-dissipative Bose-Hubbard dimers: when a flip bifurcation meets a T-point in \(\mathbb{R}^4 \)

Uses Software

• DSTool

This page was built for publication: A planar model system for the saddle–node Hopf bifurcation with global reinjection