Global bifurcation of some cubic planar systems

DOI10.1016/0362-546X(84)90071-3zbMath0544.34040MaRDI QIDQ3333375

Dingjun Luo, Mingshu Wang

Publication date: 1984

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

limit cycleshomoclinic orbitglobal bifurcationbifurcation diagramheteroclinic orbitsrotated vector fields

Mathematics Subject Classification ID

Smooth dynamical systems: general theory (37Cxx)

Related Items (2)

Uniqueness of limit cycles for a class of cubic systems with two invariant straight lines ⋮ Existence of at most 1, 2, or 3 zeros of a Melnikov function and limit cycles

Cites Work

• Some problems in the qualitative theory of ordinary differential equations
• Applications of centre manifold theory
• Singularities of vector fields
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