A global analysis of a non-linear system under parametric excitation

DOI10.1016/0022-460X(84)90270-0zbMath0575.73065OpenAlexW2086140074MaRDI QIDQ3694799

Chieh-Su Hsu, Ramesh S. Guttalu

Publication date: 1984

Published in: Journal of Sound and Vibration (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-460x(84)90270-0

zbMATH Keywords

local stabilityequilibrium statesglobal behaviorperiodic parametric excitationglobal domains of attractioncell-to-cell mapping methodsexact point mappingordinary differential equation of motionperiodic states bifurcated from the trivial equilibrium statesrigid damped barstrongly nonlinear mechanical system

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Local and nonlocal bifurcation theory for dynamical systems (37G99)

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