Quadratic Morse-Smale Vector Fields which are not Structurally Stable

DOI10.2307/2043296zbMath0504.58026OpenAlexW4234427134MaRDI QIDQ4741447

Douglas S. Shafer, Carmen C. Chicone

Publication date: 1982

Full work available at URL: https://doi.org/10.2307/2043296

zbMATH Keywords

nonwandering setCr-Whitney topologyquadratic gradient Morse-Smale systemsquadric system in the plane

Mathematics Subject Classification ID

Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Stability theory for smooth dynamical systems (37C75) Local and nonlocal bifurcation theory for dynamical systems (37G99) Morse-Smale systems (37D15)

Related Items (1)

Qualitative theory of flows on surfaces (a review)

Cites Work

• Unnamed Item
• Structural stability on two-dimensional manifolds
• Quadratic gradients on the plane are generically Morse-Smale
• Global structural stability of flows on open surfaces
• Differential Topology
• Generic Properties of Polynomial Vector Fields at Infinity

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