Four aspects of the dynamics of continuous-time dynamical systems are studied in this work. The relationship between the Lyapunov exponents of the original system and the Lyapunov exponents of induced Poincare maps is examined. The behavior of these Poincare maps as discriminators of chaos from noise is explored, and the possible Poissonian statistics generated at rarely visited surfaces are studied.
| Identifer | oai:union.ndltd.org:unt.edu/info:ark/67531/metadc277794 |
| Date | 08 1900 |
| Creators | Albert, Gerald (Gerald Lachian) |
| Contributors | Kowalski, Jacek M., Deering, William D., Renka, Robert J., Mackey, H. J. |
| Publisher | University of North Texas |
| Source Sets | University of North Texas |
| Language | English |
| Detected Language | English |
| Type | Thesis or Dissertation |
| Format | xi, 161 leaves : ill., Text |
| Rights | Public, Copyright, Copyright is held by the author, unless otherwise noted. All rights reserved., Albert, Gerald (Gerald Lachian) |
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