Bifurcation and chaos in a weakly nonlinear system subjected to combined parametric and external excitation

DOI10.1007/s102550200052zbMath1027.34047OpenAlexW1982419795MaRDI QIDQ1862830

Peng-cheng Xu, Wei Li

Publication date: 3 January 2004

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s102550200052

zbMATH Keywords

chaosbifurcationMelnikov methodtransversal homoclinic orbit

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Averaging method for ordinary differential equations (34C29) Complex behavior and chaotic systems of ordinary differential equations (34C28) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Global bifurcations and chaos. Analytical methods
• Dynamics of a Weakly Nonlinear System Subjected to Combined Parametric and External Excitation
• Averaging methods in nonlinear dynamical systems
• Invariant manifolds