Limit cycles for two families of cubic systems

DOI10.1016/j.na.2012.07.012zbMath1259.34022OpenAlexW2044872422MaRDI QIDQ714467

Armengol Gasull, Rafel Prohens, Maria Jesus Alvarez

Publication date: 11 October 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: http://ddd.uab.cat/record/150519

zbMATH Keywords

bifurcationcubic systemlimit cycleKolmogorov system

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (3)

On the number of limit cycles bifurcating from a quartic reversible center ⋮ Unnamed Item ⋮ Some Applications of the Extended Bendixson-Dulac Theorem

Cites Work

• Unnamed Item
• Unnamed Item
• Explicit non-algebraic limit cycles for polynomial systems
• Uniqueness of limit cycles in Gause-type models of predator-prey systems
• Global stability of Gause-type predator-prey systems
• Elements of applied bifurcation theory.
• A new approach to the computation of the Lyapunov constants
• On Liénard's equation and the uniqueness of limit cycles in predator- prey systems
• LIMIT CYCLES IN A CUBIC PREDATOR-PREY DIFFERENTIAL SYSTEM
• Global Stability for a Class of Predator-Prey Systems

This page was built for publication: Limit cycles for two families of cubic systems