Accession Number:

ADA056745

Title:

Nonlinear Oscillations in Equations with Delays.

Personal Author(s):

Corporate Author:

BROWN UNIV PROVIDENCE R I LEFSCHETZ CENTER FOR DYNAMICAL SYSTEMS

Report Date:

1978-05-01

Abstract:

These lectures are concerned only with some aspects of bifurcation theory in the local theory of nonlinear oscillations in equations with delays that is, behavior of solutions near an equilibrium. In particular, how the qualitative behavior of solutions change is shown as parameters vary. A detailed study of the local theory is important in order to know the types of solutions to expect in a global problem. Of course, there is no reason to only study local theory near an equilibrium. One should study how the qualitative behavior changes near any invariant set - for example, behavior near a periodic orbit, behavior near an orbit which connects a saddle point to itself, etc. More complicated behavior is expected near these large invariant sets. One can obtain invariant torii, homoclines points which exhibit a chaotic behavior, etc.

Descriptive Note:

Interim rept.,

Supplementary Note:

Supported in part by Grant NSF-MCS-76-07247.

Pages:

0065

Subject Categories:

Communities Of Interest:

Modernization Areas:

Contract Number:

AFOSR-76-3092

Contract Number 2:

ARO-D-31-124-73-G130

File Size:

19.92MB