Parametric resonance with a nonlinear term: Comparison of averaging and the normal form method using a simple example

DOI10.1016/0093-6413(92)90074-KzbMath0766.70013OpenAlexW2025534949MaRDI QIDQ1206693

S. Singh

Publication date: 1 April 1993

Published in: Mechanics Research Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0093-6413(92)90074-k

zbMATH Keywords

shooting methodMathieu differential equationadditional cubic term

Mathematics Subject Classification ID

Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Parametric resonances for nonlinear problems in mechanics (70K28)