A note on linear differential equations with periodic coefficients

DOI10.1016/j.na.2009.01.199zbMath1180.34048OpenAlexW2027653239MaRDI QIDQ923980

Maite Grau, Daniel Peralta-Salas

Publication date: 24 July 2009

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

Full work available at URL: https://doi.org/10.1016/j.na.2009.01.199

zbMATH Keywords

linear differential equationshyperbolicity limit cycles

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Linear ordinary differential equations and systems (34A30) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Dynamical systems with hyperbolic orbits and sets (37D05)

Related Items (4)

Stabilization of optically coupled lasers with periodic pumping ⋮ The Lyapunov stability for the linear and nonlinear damped oscillator with time-periodic parameters ⋮ Lyapunov stability of elliptic periodic solutions of nonlinear damped equations ⋮ Radial stability of periodic orbits of damped Keplerian-like systems

Cites Work

• On the stability of periodic orbits for differential systems in \(\mathbb{R}^n\)
• Dichotomies in stability theory
• Note on a paper of J. Llibre and G. Rodríguez concerning algebraic limit cycles
• A Note on the Asymptotic Stability of Periodic Solutions of Autonomous Differential Equations
• Ordinary Differential Equations with Applications
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A note on linear differential equations with periodic coefficients