Department
Home Page
About Us:
• Contact Info.
• Faculty
• Staff
• Teaching Assistants
Academic Program:
• Admission
• Undergraduate
• Graduate
• Certificates
Courses:
• Course Description
• Class Web Pages
• Class Syllabi
Research:
• Colloquium
• Interdisciplinary Seminar
• Seminars
• Steve Goldman Lectures in Mathematical Physics
Links:
| • Completing Online GEP Courses |
| • Best Jobs |
| • Newsletter |
| • Math Lab |
| •Math Placement Test |
| • Careers |
| • American Mathematical Society |
| • Mathematical Association of America |
11/07/03 Colloquium
PROFESSOR JOHN EVANS
ORLANDO SCIENCE CENTER
ORLANDO SCIENCE CENTER
Stochastic Resonance
Abstract: A well described phenomenon known as stochastic resonance (SR) that is found in noise driven, periodically modulated bistable systems, consists in noise enhanced, periodic transitions with the same frequency of the external modulation. When the intensity of the external noise is properly tuned to the internal parameters of the bistable system the external noise and the periodic driving mechanism interact pumping power from the whole noise spectrum into a single mode, which is coherent with the signal. It is therefore produced a well-defined spike in the power spectrum of the output signal and the corresponding signal to noise ratio has a maximum. For larger noise amplitudes the signal is increasingly corrupted. One of the applications of SR is to neural transmission and excitation. This has developed into a wide field of research mainly concentrated in the study of the excitation of individual neurons. In order to establish the significance of SR in neural transmission it is necessary to deal with extended systems involving spatially distributed bistable oscillators. This field of research is known as spatiotemporal stochastic resonance.