Investigations of transitions from order to chaos in dynamical systems: Progress report
Dynamical systems were investigated using analytical, computational and experimental methods. The systems studied could be represented by two dimensional dissipative maps or nonlinear differential equations representing flow in some three dimensional phase space. It was found that a large class of these systems exhibits universal characteristics. These characteristics involve not only universal period doubling routes to chaos, but universal properties of the strange attractors representing chaotic behavior. These results were anticipated by laboratory and computer experiments and confirmed finally by renormalized theory. In this class of systems strange attractors, their crises, fractal dimension, Liapunoff exponents show universal behavior as the strength parameter and dissipation is varied. 17 refs.
- Research Organization:
- Stevens Inst. of Tech., Hoboken, NJ (USA). Dept. of Physics
- DOE Contract Number:
- AC02-84ER13146
- OSTI ID:
- 6918109
- Report Number(s):
- DOE/ET/13146-2; ON: DE87003795
- Country of Publication:
- United States
- Language:
- English
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