On the number of limit cycles in perturbations of a two dimensional nonlinear differential system
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Publication:1356808
DOI10.1007/BF02215975zbMath0871.34018MaRDI QIDQ1356808
Publication date: 10 June 1997
Published in: Aequationes Mathematicae (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/137687
limit cyclesclosed orbitsabelian integralsmonotonicity for quotients of abelian integralsuniqueness theorem for limit cycles
Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05)
Related Items (2)
On intersections of a curve with hyperplanes, and the number of zeros of certain functions ⋮ Uniqueness of limit cycles and quotients of abelian integrals
Cites Work
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- Zeros of special abelian integrals in a real domain
- Abelian integrals and bifurcation theory
- A note on: Abelian integrals and bifurcation theory
- Applications of centre manifold theory
- Non-oscillation of elliptic integrals
- Limit cycles of perturbations of quadratic Hamiltonian vector fields
- A criterion for determining the monotonicity of the ratio of two Abelian integrals
- Multiple Bifurcation Problems of Codimension Two
- Multiparameter Bifurcation of a Predator-Prey System
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