Nonhyperbolic periodic orbits of vector fields in the plane revisited

DOI10.1155/2013/212340zbMath1296.34075OpenAlexW2007158907WikidataQ58915565 ScholiaQ58915565MaRDI QIDQ2015226

Luis Fernando Mello, Denis de Carvalho Braga, Antonio Carlos Zambroni de Souza

Publication date: 23 June 2014

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/212340

zbMATH Keywords

approximation of periodic orbit

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Stability of solutions to ordinary differential equations (34D20)

Uses Software

• MATCONT

Cites Work

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• Switching to nonhyperbolic cycles from codim 2 bifurcations of equilibria in ODEs
• Elements of applied bifurcation theory.
• Bifurcation analysis of the Watt governor system
• CONTROLLABLE HOPF BIFURCATIONS OF CODIMENSIONS ONE AND TWO IN LINEAR CONTROL SYSTEMS
• Numerical Normalization Techniques for All Codim 2 Bifurcations of Equilibria in ODE's
• MATCONT