- Author
- Frey, M. R. | Simiu, E.
- Title
- Deterministic and Stochastic Chaos.
- Coporate
- Bucknell Univ., Lewisburg, PA National Institute of Standards and Technology, Gaithersburg, MD
- Sponsor
- Office of Naval Research, Washington, DC
- Contract
- GRANT-N00014-93-I-0248 GRANT-N00014-93-F-0028
- Book or Conf
- Computational Stochastic Mechanics, Computational Mechanics Publications, Boston, MA, Cheng, A. H. D.; Yang, C. Y., Editors, 195-216 p., 1993
- Keywords
- equations | noise (sound) | deterministic chaos | stochastic chaos | duffing oscillator | excitation
- Abstract
- Stochastic differential equations and classical techniques related to the Fokker-Planck equation are standard bases for the analysis of nonlinear systems perturbed by noise. An alternative, complementary approach applicable to systems featuring heteroclinic or homoclinic orbits uses phase space flux as a measure of noise-induced chaotic dynamics. We continue our development of this method, extending our previous treatment of additive noise to the more general case of multiplicative noise. This extension is used with a new model of shot noise to treat the Duffing oscillator with shot noise-like dissipation.