Bifurcation problems with high codimensions.

DOI10.1016/S0895-7177(00)00027-3zbMath1042.34541WikidataQ128081147 ScholiaQ128081147MaRDI QIDQ1597132

Viktor Kertész

Publication date: 5 May 2002

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Mathematics Subject Classification ID

Classical flows, reactions, etc. in chemistry (92E20) Bifurcation theory for ordinary differential equations (34C23) Bifurcations of singular points in dynamical systems (37G10) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (2)

Stabilization and positioning control of a rolling disk by using the Bogdanov-Takens bifurcation ⋮ Detection of high codimensional bifurcations in variational PDEs

Cites Work

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• Bifurcations of planar vector fields. Nilpotent singularities and Abelian integrals
• Coexistence of saddle-node and Poincaré-Andronov-Hopf bifurcations
• Nilpotent singularities in generic 4-parameter families of 3-dimensional vector fields
• Generic 3-parameter families of vector fields on the plane, unfolding a singularity with nilpotent linear part. The cusp case of codimension 3

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