A class of reversible quadratic polynomial vector fields on \(\mathbb S^2\)

DOI10.1016/j.jmaa.2010.05.021zbMath1207.34037OpenAlexW2032352811MaRDI QIDQ986585

Claudio Pessoa, Weber Flávio Pereira

Publication date: 11 August 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.05.021

zbMATH Keywords

centerlimit cyclephase portraitreversible polynomial vector field

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Symmetries, invariants of ordinary differential equations (34C14)

Related Items (3)

Evolutionary stable strategies and cubic vector fields ⋮ On the reversible quadratic polynomial vector fields on \(\mathbb{S}^2\) ⋮ Phase portraits of (2;0) reversible vector fields with symmetrical singularities

Cites Work

• Symmetric singularities of reversible vector fields in dimension three
• Invariant circles for homogeneous polynomial vector fields on the 2-dimensional sphere
• Rotated vector fields and the global behavior of limit cycles for a class of quadratic systems in the plane
• Singularities of reversible vector fields
• Phase portraits for quadratic homogeneous polynomial vector fields on \(\mathbb S^{2}\)
• Limit-cycles and rotated vector fields
• Hopf-zero bifurcations of reversible vector fields
• Chaotic dynamics in ${\mathbb Z}_2$-equivariant unfoldings of codimension three singularities of vector fields in ${\mathbb R}^3$
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