- Author
-
Simiu, E.
|
Frey, M. R.
- Title
- Melnikov Function and Homoclinic Chaos Induced by Weak Perturbations.
- Coporate
- National Institute of Standards and Technology, Gaithersburg, MD
- Journal
-
Physical Review E,
Vol. 48,
No. 4,
3190-3192,
October 1993
- Keywords
-
noise (sound)
|
equations
- Identifiers
- Melnikov function
- Abstract
- The effect of noise on the possible occurrence of chaos in systems with a homoclinic orbit (e.g., the Duffing equation) was recently considered by Bulsara, Schieve, and Jacobs and Schieve and Bulsara, who adopted an approach based on a redefinition of the Melnikov function. We show that this redefinition is unsatisfactory and leads to incorrect results.