
Accession Number : ADA117390
Title : Perturbation of Homoclinics and Subharmonics in Duffing's Equation.
Descriptive Note : Technical rept.,
Corporate Author : BROWN UNIV PROVIDENCE RI LEFSCHETZ CENTER FOR DYNAMICAL SYSTEMS
Personal Author(s) : Hale,Jack K ; Spezamiglio,A
PDF Url : ADA117390
Report Date : Mar 1982
Pagination or Media Count : 30
Abstract : For (lambda, mu) and (g,f) small, the equation x  x + 2x cubed + g(x) =  lambda x + mu(cos t + f(t))is considered near the separatrix S of the unperturbed equation (lambda, mu) = (0,0). For (g,f) in a neighborhood of the zero functions, a complete description is given of the bifurcation curves in (lambda, mu)  space to homoclinic points. The perturbation of subharmonics outside S is also considered in a symmetric and nonsymmetric case.
Descriptors : *Perturbation theory, *Equations of motion, Harmonic analysis, Orbits, Points(Mathematics), Curves(Geometry), Computations, Time studies, Periodic functions, Symmetry
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE