CaltechAUTHORS
Published October 23, 1995 | Version public
Journal Article Metadata-only

Perturbed reversible systems

Creators

  • 1. ROR icon Massachusetts Institute of Technology
  • 2. ROR icon California Institute of Technology
  • 3. ROR icon Los Alamos National Laboratory

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.

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.

Additional details

Identifiers

Eprint ID
100679
DOI
10.1016/0375-9601(95)00662-m
Resolver ID
CaltechAUTHORS:20200113-125149885

Related works

Describes
10.1016/0375-9601(95)00662-m (DOI)

Funding

Air Force Office of Scientific Research (AFOSR)
F49620-94-1-0044
NSF
DMS-9501511
NSF Postdoctoral Fellowship
Department of Energy (DOE)
W-7405-ENG-36
Los Alamos National Laboratory

Dates

Created
2020-01-13
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Updated
2021-11-16
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