Dissipative bidimensional systems and resonant excitations

DOI10.1016/S0020-7462(97)00045-0zbMath0908.70019OpenAlexW2081354112MaRDI QIDQ1390097

Attilio Maccari

Publication date: 18 March 1999

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0020-7462(97)00045-0

zbMATH Keywords

asymptotic perturbation methodbifurcationsRunge-Kutta-Fehlberg methoddoubly periodic motionprimary resonance frequencyquasi-resonance

Mathematics Subject Classification ID

Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Related Items

A new integrable Davey–Stewartson-type equation ⋮ A study of bifurcation parameters in travelling wave solutions of a damped forced Korteweg de Vries-Kuramoto Sivashinsky type equation ⋮ Complicated nonlinear responses of a simply supported FGM rectangular plate under combined parametric and external excitations ⋮ Periodic and chaotic motions of a rotor-active magnetic bearing with quadratic and cubic terms and time-varying stiffness ⋮ Nonlinear dynamics of angle-ply composite laminated thin plate with third-order shear deformation ⋮ A refined asymptotic perturbation method for nonlinear dynamical systems ⋮ A generalized Hirota equation in 2+1 dimensions ⋮ On the integrability of a new Davey-Stewartson type equation in \(2+1\) dimensions ⋮ Parametrically excited non-linear systems: A comparison of two methods ⋮ Multi-pulse chaotic motions of a rotor-active magnetic bearing system with time-varying stiffness