Bifurcations of periodic orbits in Duffing equation with periodic damping and external excitations

DOI10.1007/s11071-012-0467-2zbMath1267.34102OpenAlexW2156921890MaRDI QIDQ354075

Hongjun Cao, Mei-xiang Cai

Publication date: 17 July 2013

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-012-0467-2

zbMATH Keywords

bifurcationsresonancesMelnikov methoddamping excitation

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Related Items (2)

Dynamic evolution analysis of stock price fluctuation and its control ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Bifurcations and chaos in three-well Duffing system with one external forcing
• Resonances of a harmonically forced Duffing oscillator with time delay state feedback
• Detection of bifurcation structures by higher-order averaging for Duffing's equation
• Integrable Duffing's maps and solutions of the Duffing equation
• Degenerate resonances in forced oscillators
• SECOND-ORDER AVERAGING AND MELNIKOV ANALYSES FOR FORCED NON-LINEAR OSCILLATORS

This page was built for publication: Bifurcations of periodic orbits in Duffing equation with periodic damping and external excitations