High order Melnikov method: pendulums

DOI10.1016/j.jde.2021.12.015zbMath1502.34053OpenAlexW4206632475MaRDI QIDQ2069180

Qiudong Wang, Ali Oksasoglu

Publication date: 20 January 2022

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2021.12.015

zbMATH Keywords

higher order Melnikov functionspendulum equations

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Invariant manifolds for ordinary differential equations (34C45) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Nonautonomous smooth dynamical systems (37C60)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• A proof of the exponentially small transversality of the separatrices for the standard map
• Exponentially small splitting of separatrices beyond Melnikov analysis: Rigorous results
• Exponentially small splitting: a direct approach
• High-order Melnikov method for time-periodic equations
• Melnikov's method and averaging

This page was built for publication: High order Melnikov method: pendulums