Higher-order Melnikov method

DOI10.1007/BF02018063zbMath0774.34026OpenAlexW2070473618MaRDI QIDQ1192835

Youzhong Guo, Zeng-Rong Liu

Publication date: 27 September 1992

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

Full work available at URL: https://doi.org/10.1007/bf02018063

zbMATH Keywords

Melnikov methodsubharmonic bifurcationsecond order Melnikov functionsubharmonic or hyper- subharmonic solutions

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Cites Work

• Unnamed Item
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Road to chaos for a soft spring system under weak periodic disturbance
• An example of bifurcation to homoclinic orbits
• Chaotic Behavior in Slowly Varying Systems of Nonlinear Differential Equations

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