Observation and Evolution of Chaos for an Autonomous SystemSource: Journal of Applied Mechanics:;1984:;volume( 051 ):;issue: 003::page 664Author:E. H. Dowell
DOI: 10.1115/1.3167690Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: 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.
keyword(s): Chaos , Poincare mapping , Motion , Construction , Flutter (Aerodynamics) , Spectra (Spectroscopy) , Fluids AND Elastic plates ,
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| contributor author | E. H. Dowell | |
| date accessioned | 2017-05-08T23:17:02Z | |
| date available | 2017-05-08T23:17:02Z | |
| date copyright | September, 1984 | |
| date issued | 1984 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-26240#664_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/97997 | |
| description abstract | 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. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Observation and Evolution of Chaos for an Autonomous System | |
| type | Journal Paper | |
| journal volume | 51 | |
| journal issue | 3 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3167690 | |
| journal fristpage | 664 | |
| journal lastpage | 673 | |
| identifier eissn | 1528-9036 | |
| keywords | Chaos | |
| keywords | Poincare mapping | |
| keywords | Motion | |
| keywords | Construction | |
| keywords | Flutter (Aerodynamics) | |
| keywords | Spectra (Spectroscopy) | |
| keywords | Fluids AND Elastic plates | |
| tree | Journal of Applied Mechanics:;1984:;volume( 051 ):;issue: 003 | |
| contenttype | Fulltext |