Inverse problems for dynamical systems

DOI10.1016/0022-0396(81)90034-6zbMath0496.34011OpenAlexW1971631574MaRDI QIDQ1170421

Ronald Sverdlove

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0022-0396(81)90034-6

zbMATH Keywords

periodic orbitsstructural stabilitycritical points

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Stability of solutions to ordinary differential equations (34D20) Inverse problems involving ordinary differential equations (34A55) Dynamical systems and ergodic theory (37-XX)

Related Items (8)

Configurations of limit cycles in Liénard equations ⋮ Attractors and symmetries of vector fields: the inverse problem ⋮ Realization problems for limit cycles of planar polynomial vector fields ⋮ Configurations of limit cycles and planar polynomial vector fields. ⋮ Classification of complex polynomial vector fields in one complex variable ⋮ A characterization of the \(\omega\)-limit sets of planar continuous dynamical systems ⋮ Note on a paper of J. Llibre and G. Rodríguez concerning algebraic limit cycles ⋮ A class of vectorfields on \(S^ 2\) that are topologically equivalent to polynomial vectorfields

Cites Work

• Structural stability on two-dimensional manifolds
• Critical points with asymmetric schemes
• Vector fields defined by complex functions
• On dynamic systems, linear in cones
• Global structure of continuous flows on 2-manifolds
• Correction to: A unified sequential identification structure based on convergence considerations
• Equivalence of planar dynamical and differential systems
• Structurally stable systems on open manifolds are never dense
• Plane dynamical systems with continuous straight sections linear in the angles
• Topology of Level Curves of Harmonic Functions
• The Topology of the Level Curves of Harmonic Functions with Critical Points
• Global Structure of Ordinary Differential Equations in the Plane
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