Observation and Evolution of Chaos for an Autonomous System

[+] Author and Article Information
E. H. Dowell

School of Engineering, Duke University, Durham, N. C. 27706

J. Appl. Mech 51(3), 664-673 (Sep 01, 1984) (10 pages) doi:10.1115/1.3167690 History: Received April 01, 1983; Revised December 01, 1983; Online July 21, 2009


Time histories, phase plane portraits, power spectra, and Poincare maps are used as descriptors to observe the evolution of chaos in an autonomous system. Although the motions of such a system can be quite complex, these descriptors prove helpful in detecting the essential structure of the motion. Here the principal interest is in phase plane portraits and Poincare maps, their methods of construction, and physical interpretation. The system chosen for study has been previously discussed in the literature, i.e., the flutter of a buckled elastic plate in a flowing fluid.

Copyright © 1984 by ASME
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