Witelski, T. P. and Cohen, D. S. (1995) Perturbed reversible systems. Physics Letters A, 207 (1-2). pp. 83-86. ISSN 0375-9601. doi:10.1016/0375-9601(95)00662-m. https://resolver.caltech.edu/CaltechAUTHORS:20200113-125149885
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Abstract
For a class of nonlinear evolution equations describing reversible processes with several equilibrium solutions, we will demonstrate that the addition of time-dependent disturbances can significantly change the stability properties of the model. In particular, we will show that the introduction of bounded time-dependent forcing can cause singular changes in the basins of attraction for Abel's nonlinear ordinary differential equation.
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| Additional Information: | © 1995 Published by Elsevier B.V. This work was performed under Air Force Office of Scientific Research grant AFOSR-F49620-94-1-0044 and National Science Foundation Grant DMS-9501511. Supported by a National Science Foundation postdoctoral fellowship. Supported in part by the Air Force Office of Scientific Research grant F49620-94-I-0044, National Science Foundation Grant DMS-9501511, the Department of Energy grant W-7405-ENG-36 at the Center for Nonlinear Studies at Los Alamos, and the Director's Office (T-DO) of the Theoretical Division at Los Alamos. | ||||||||||||
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| Subject Keywords: | Reversible dynamics; Abel's nonlinear differential equation; Basins of attraction; Ordinary differential equations | ||||||||||||
| Issue or Number: | 1-2 | ||||||||||||
| DOI: | 10.1016/0375-9601(95)00662-m | ||||||||||||
| Record Number: | CaltechAUTHORS:20200113-125149885 | ||||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20200113-125149885 | ||||||||||||
| Official Citation: | T.P. Witelski, D.S. Cohen, Perturbed reversible systems, Physics Letters A, Volume 207, Issues 1–2, 1995, Pages 83-86, ISSN 0375-9601, https://doi.org/10.1016/0375-9601(95)00662-M. (http://www.sciencedirect.com/science/article/pii/037596019500662M) | ||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||
| ID Code: | 100679 | ||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||
| Deposited By: | Tony Diaz | ||||||||||||
| Deposited On: | 13 Jan 2020 21:48 | ||||||||||||
| Last Modified: | 16 Nov 2021 17:56 |
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