Bifurcations of global reinjection orbits near a saddle-node Hopf bifurcation

DOI10.1088/0951-7715/19/9/010zbMath1109.37042OpenAlexW2121167960MaRDI QIDQ3412486

Bernd Krauskopf, Bart E. Oldeman

Publication date: 6 December 2006

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://research-information.bristol.ac.uk/en/publications/bifurcations-of-global-reinjection-orbits-near-a-saddlenode-hopf-bifurcation(2588217f-933b-4155-b438-ca15ee0de70f).html

zbMATH Keywords

bifurcation diagramhomoclinic orbitscurves of homoclinic bifurcations

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) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (11)

Bursting dynamics due to a homoclinic cascade in Taylor–Couette flow ⋮ Determining the global manifold structure of a continuous-time heterodimensional cycle ⋮ Bifurcations Near the Weak Type Heterodimensional Cycle ⋮ Homoclinic flip bifurcation with a nonhyperbolic equilibrium ⋮ Homoclinic flip bifurcations accompanied by transcritical bifurcation ⋮ Dynamics Near the Heterodimensional Cycles with Nonhyperbolic Equilibrium ⋮ Hopf saddle-node bifurcation for fixed points of 3D-diffeomorphisms: Analysis of a resonance `bubble' ⋮ Heterodimensional cycle bifurcation with two orbit flips ⋮ Lyapunov-Schmidt reduction for unfolding heteroclinic networks of equilibria and periodic orbits with tangencies ⋮ Exponential asymptotics of localised patterns and snaking bifurcation diagrams ⋮ Nonreversible homoclinic snaking

Uses Software

• AUTO
• HomCont

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