Analysis method of chaos and sub-harmonic resonance of nonlinear system without small parameters

DOI10.1007/s10483-011-1388-xzbMath1220.34063OpenAlexW1969698528MaRDI QIDQ623284

Yanbin Liu, Yu-Shu Chen, Qing-jie Cao

Publication date: 14 February 2011

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-011-1388-x

zbMATH Keywords

chaosMelnikov functionhomotopy analysissub-harmonic resonance

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Averaging method for ordinary differential equations (34C29) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

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Chaotic motion in forced Duffing system subject to linear and nonlinear damping

Cites Work

• An explicit, totally analytic approximate solution for Blasius' viscous flow problems
• Global bifurcations and chaos. Analytical methods
• A kind of approximation solution technique which does not depend upon small parameters. II: An application in fluid mechanics
• On the homotopy analysis method for nonlinear problems.
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