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Perturbed reversible systems

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.

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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.
Funding AgencyGrant Number
Air Force Office of Scientific Research (AFOSR)F49620-94-1-0044
NSF Postdoctoral FellowshipUNSPECIFIED
Department of Energy (DOE)W-7405-ENG-36
Los Alamos National LaboratoryUNSPECIFIED
Subject Keywords:Reversible dynamics; Abel's nonlinear differential equation; Basins of attraction; Ordinary differential equations
Issue or Number:1-2
Record Number:CaltechAUTHORS:20200113-125149885
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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, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:100679
Deposited By: Tony Diaz
Deposited On:13 Jan 2020 21:48
Last Modified:16 Nov 2021 17:56

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