Limit cycle uniqueness for a class of planar dynamical systems
From MaRDI portal
Publication:1031711
DOI10.1016/j.aml.2005.09.017zbMath1188.34040OpenAlexW2129725605MaRDI QIDQ1031711
Gabriele Villari, Sabatini, Marco
Publication date: 30 October 2009
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2005.09.017
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07)
Related Items
An improved criterion for the unique existence of the limit cycle of a Liénard-type system with one parameter ⋮ Existence and uniqueness of limit cycles in planar system of Liénard type ⋮ New criteria for the existence and non-existence of limit cycles in Liénard differential systems ⋮ On the uniqueness of the limit cycle for the Liénard equation with \(f(x)\) not sign-definite ⋮ A Curie-Weiss model with dissipation ⋮ On the existence and uniqueness of limit cycles for generalized Liénard systems ⋮ Oscillations for Liénard type equations ⋮ Uniqueness of limit cycles for a class of planar vector fields ⋮ Noise-induced Periodicity: Some Stochastic Models for Complex Biological Systems ⋮ Limit cycles analysis and control of evolutionary game dynamics with environmental feedback ⋮ A Bendixon–Dulac theorem for some piecewise systems ⋮ On the qualitative behavior of a class of generalized Liénard planar systems
Cites Work
- A note on existence and uniqueness of limit cycles for Liénard systems
- Non-existence, uniqueness of limit cycles and center problem in a system that includes predator-prey systems and generalized Liénard equations
- On the uniqueness and nonexistence of limit cycles for predator prey systems
- Unnamed Item
- Unnamed Item
- Unnamed Item
