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CONDITIONALLY STABLE INVARIANT MANIFOLDS OF SYSTEMS OF DIFFERENTIAL EQUATIONS WITH OR WITHOUT DELAY.
Technical rept. for 1967-68,
CALIFORNIA UNIV BERKELEY DEPT OF MATHEMATICS
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The existence and smoothness of the stable manifold of invariant manifolds of systems of differential -difference equations of the form dthetadt a Thetat, thetat-r, xt-r, yt-r dxdt A sub 1t, thetaxt-r Xt, thetat-r, xt-r, yt-r dydt A sub 2t, thetayt-r Yt, thetat-r, xt-r, yt-r where r or 0, and a is a constant. A sub i, i 1,2, are matrices, and are constant if r is not equal to 0. The results in this study are generalizations of some results of Coddington and Levinson, and of Hale. Author
APPROVED FOR PUBLIC RELEASE