Nonlinear, Singular Oscillatory Systems
Final rept. 15 Feb 1988-31 Aug 1991,
CLARK ATLANTA UNIV GA
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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 andor 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.
- Numerical Mathematics