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Published October 23, 1995 | public
Journal Article

Perturbed reversible systems

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

Created:
August 22, 2023
Modified:
October 18, 2023