Bifurcation and Nonlinear Oscillations.
BROWN UNIV PROVIDENCE RI LEFSCHETZ CENTER FOR DYNAMICAL SYSTEMS
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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
- Theoretical Mathematics