Multi-Scle Dynamics and Noise Sensitivity.
Connections for Women: Dynamical Systems
January 18,2007 01:30 PM to 02:30 PM
Speakers:
Kuske, Rachel
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Summary: |
New Asymptotic approaches for analyzing multi-scale behavior and noise are presented. The similarity through stochastic dynamics of seemingly different systems is discussed. |
Abstract: |
Small noise can change both quantitative and qualitative behavior in many systems. However, when both multi-scale behavior and noise are present it is often difficult to separate the deterministic and stochastic effects. In addition, the sensitivity often makes simulation expensive. This talk will focus on new asymptotic approaches for analyzing these types of behavior, illustrated through models of neural dynamics, meta-stable interfaces, and dynamical models with memory. Although these systems are intrisically very different, they have many similarities from the viewpoint of stochastic dynamics. Results include analytical approximation for measuring noise-sensitivity as well as reduced models for fast simulation. |
Keywords: |
Noise; Stochastic dynamics; sow-fast systems. |
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