CONDITIONALLY STABLE INVARIANT MANIFOLDS OF SYSTEMS OF DIFFERENTIAL EQUATIONS WITH OR WITHOUT DELAY.
Abstract
The existence and smoothness of the stable manifold of invariant manifolds of systems of differential (-difference) equations of the form d(theta)/dt = a + Theta(t, theta(t-r), x(t-r), y(t-r)); dx/dt = A sub 1(t, theta)x(t-r) + X(t, theta(t-r), x(t-r), y(t-r)); dy/dt = A sub 2(t, theta)y(t-r) + Y(t, theta(t-r), x(t-r), y(t-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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1968
- Accession Number
- AD0672573
Entities
People
- Sherwood W. L. Samn
Organizations
- University of California, Berkeley