Uniqueness of limit cycles bounded by two invariant parabolas.

DOI10.1007/s10492-012-0030-yzbMath1262.92003OpenAlexW2026566896MaRDI QIDQ1928178

Eduardo Sáez, Ivan Szanto

Publication date: 2 January 2013

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10338.dmlcz/142914

zbMATH Keywords

stabilitybifurcations

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Dynamical systems in biology (37N25) General biology and biomathematics (92B05)

Uses Software

• Matlab

Cites Work

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• A cubic system with a limit cycle bounded by two invariant parabolas
• Coexistence of limit cycles and invariant algebraic curves for a Kukles system
• A cubic Kolmogorov system with six limit cycles
• Quadratic systems having a parabola as an integral curve
• Bifurcations of Nonlinear Oscillations and Frequency Entrainment Near Resonance