Quadratic systems with a degenerate critical point

DOI10.1017/S0004972700027167zbMath0634.34013OpenAlexW2156534329MaRDI QIDQ3772534

William Andrew Coppel

Publication date: 1988

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700027167

zbMATH Keywords

limit cyclequadratic systemdegenerate critical point

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items (11)

Qualitative properties of two-dimensional predator-prey systems ⋮ The periodic solution of a class of epidemic models ⋮ Global analysis of an epidemic model with a constant removal rate ⋮ HILBERT'S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDS ⋮ Ergodicity of limit cycles in quadratic systems ⋮ Versal unfoldings of predator-prey systems with ratio-dependent functional response ⋮ Nonlinear dynamics of avian influenza epidemic models ⋮ Phase portraits for quadratic systems with a higher order singularity with two zero eigenvalues ⋮ The distribution of limit cycles in quadratic systems with four finite singularities ⋮ Stability and Bifurcation in an SI Epidemic Model with Additive Allee Effect and Time Delay ⋮ A new class of quadratic systems

Cites Work

• A survey of quadratic systems
• Proof of the uniqueness theorem of limit cycles of generalized liénard equations

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