- 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.