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