Nonlinear, Singular Oscillatory Systems
Abstract
Recently, a new class of nonlinear oscillatory equations have arisen. They have the property that the nonlinear terms can become unbounded for finite values of the variable and/or its derivative. For such systems the usual method of analysis do not apply. This report summarizes our investigations on such systems. In particular, we have carried out a detailed investigation of the mathematical properties of such systems using phase-space methods, perturbation theory based on the Hopf bifurcation theorem, and the method of harmonic balance. Properties of coupled singular oscillators were also examined.
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 31, 1991
- Accession Number
- ADA244724
Entities
People
- Ronald E. Mickens
Organizations
- Clark Atlanta University