Bifurcations of limit cycles in a \(Z_8\)-equivariant planar vector field of degree 7

DOI10.1007/s10884-004-7835-7zbMath1067.34032OpenAlexW2787858293MaRDI QIDQ1763031

Mingqiang Zhang, Ji-Bin Li

Publication date: 18 February 2005

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-004-7835-7

zbMATH Keywords

bifurcationlimit cycleHamiltonian systemsweakened Hilbert's 16th problem\(Z_8\)-equivariant planar vector field

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Bifurcation theory for ordinary differential equations (34C23) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07)

Related Items (19)

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Cites Work

• Mathematical problems for the next century
• THE TOPOLOGY OF REAL PROJECTIVE ALGEBRAIC VARIETIES
• On the nonexistence, existence and uniqueness of limit cycles
• Unnamed Item

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