Higher-order averaging: periodic solutions, linear systems and an application

DOI10.1016/S0362-546X(02)00285-7zbMath1061.34034MaRDI QIDQ1863632

Yanyan Li

Publication date: 11 March 2003

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

zbMATH Keywords

stabilityperiodic solutionslinear systemsaveraging

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Averaging method for ordinary differential equations (34C29) Multiple scale methods for ordinary differential equations (34E13)

Related Items (5)

The zone boundary mode in periodic nonlinear electrical lattices ⋮ Stability of periodic solutions for Lipschitz systems obtained via the averaging method ⋮ Weakly coupled oscillators and topological degree ⋮ Averaging methods for finding periodic orbits via Brouwer degree. ⋮ Modification via averaging of partial-energy-shaping control for creating oscillations: cart-pendulum example

Cites Work

• Unnamed Item
• Improved N-th order averaging theory for periodic systems
• A linear differential equation with a time-periodic damping coefficient: Stability diagram and an application
• Averaging methods in nonlinear dynamical systems

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