HIGHER-ORDER AVERAGING FOR PERIODICALLY FORCED WEAKLY NONLINEAR SYSTEMS

DOI10.1142/S0218127499000353zbMath0941.34033MaRDI QIDQ4941665

No author found.

Publication date: 3 August 2000

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

Lie transformshigher-order averagingDuffing-type oscillatorsinternal and external resonancesperiodically forced weakly nonlinear systemsprimary or ultra-subharmonic resonance

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Averaging method for ordinary differential equations (34C29) Software, source code, etc. for problems pertaining to mechanics of particles and systems (70-04) Software, source code, etc. for problems pertaining to ordinary differential equations (34-04) Averaging of perturbations for nonlinear problems in mechanics (70K65)

Related Items (3)

Families of solitons in Bragg supergratings ⋮ On higher-order averaging of time-periodic systems: reconciliation of two averaging techniques ⋮ Harmonic Balance, Melnikov method and nonlinear oscillators under resonant perturbation

Uses Software

• AUTO-86
• Dynamics

Cites Work

• Resonant dynamics of an autoparametric system: A study using higher-order averaging
• SECOND-ORDER AVERAGING AND MELNIKOV ANALYSES FOR FORCED NON-LINEAR OSCILLATORS
• Second order averaging and bifurcations to subharmonics in duffing's equation

This page was built for publication: HIGHER-ORDER AVERAGING FOR PERIODICALLY FORCED WEAKLY NONLINEAR SYSTEMS