- Author
- Frey, M. R. | Simiu, E.
- Title
- Equivalence Between Motions With Noise-Induced Jumps and Chaos With Small Horeshoes.
- Coporate
- National Institute of Standards and Technology, Gaithersburg, MD
- Book or Conf
- American Society of Civil Engieners (ASCE)/EM Div. Engineering Mechanics Proceedings. May 24-27, 1992, College Station, TX, 660-663 p., 1992
- Keywords
- noise (sound) | oscillators | motion | jumps | chaos | horseshoes
- Abstract
- For certain sets of parameters multi-stable oscillators excited by noise can exhibit irregular jumps. We consider one-degree-of-freedom near-integrable multi-stable systems whose unperturbed flows have homoclinic/heteroclinic orbits. For such systems we show that certain motions with noise-induced jumps are in fact chaotic motions with traveling Smale horseshoe sequences. Consequences of our result are that noise can, by itself, induce such chaotic motions. In the presence of periodic or quasiperiodic excitation, noise cannot suppress chaotic motion that might otherwise occur; rather, its effect is to broaden the windows of chaotic behavior.