Accession Number : ADA093182


Title :   Bifurcation and Nonlinear Oscillations.


Descriptive Note : Interim rept.,


Corporate Author : BROWN UNIV PROVIDENCE RI LEFSCHETZ CENTER FOR DYNAMICAL SYSTEMS


Personal Author(s) : Chow,Shui-Nee ; Hale,Jack K


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/a093182.pdf


Report Date : 28 Sep 1980


Pagination or Media Count : 50


Abstract : Two problems are discussed. The first one deals with the characterization of the flow for a periodic planar system which is the perturbation of an autonomous system which possesses either a saddle-node or degenerate focus or degenerate periodic orbit or homoclinic orbit. The second problem concerns the characterization of the flow near an equilibrium point of an autonomous equation when the linear variational equation has either two purely imaginary and one zero eigenvalue or two pairs of purely imaginary eigenvalues. (Author)


Descriptors :   *PERTURBATION THEORY , *FUNCTIONAL ANALYSIS , EIGENVALUES , NONLINEAR SYSTEMS , OSCILLATION , VARIATIONAL METHODS


Subject Categories : Theoretical Mathematics


Distribution Statement : APPROVED FOR PUBLIC RELEASE