Geometric Method for Free Oscillator under Two Parametric Perturbation

DOI10.1080/1726037X.2011.10698591zbMath1226.34039MaRDI QIDQ3019887

Z. Afsharnezhad

Publication date: 29 July 2011

Published in: Journal of Dynamical Systems and Geometric Theories (Search for Journal in Brave)

Full work available at URL: http://www.connectjournals.com/file_html_pdf/1081401H_05_JDSGT_09_01_pp049-059A.pdf

zbMATH Keywords

dampingfree oscillatorperturbation and bifurcation theory

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Cites Work

• Bifurcation near degenerate families
• Bifurcations of Nonlinear Oscillations and Frequency Entrainment Near Resonance
• Generic multiparameter bifurcation from a manifold
• PERSISTENCE OF PERIODIC TRAJECTORIES OF PLANAR SYSTEMS UNDER TWO PARAMETRIC PERTURBATIONS