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Published on: October 6, 2011
Pinning control of threshold coupled chaotic neuronal maps.
1The LNM Institute of Information Technology, Jaipur, India.
Chaos (Woodbury, N.Y.)
|October 2, 2009
Summary
Controlling chaotic neuronal maps using threshold activated coupling reveals an optimal pinning density for suppressing chaos. Applying this control transitions the system from spatiotemporal chaos to synchronized temporal cycles.
Area of Science:
- Neuroscience
- Complex Systems
- Nonlinear Dynamics
Background:
- Neuronal maps exhibit complex spatiotemporal chaotic dynamics.
- Controlling chaos in such systems is crucial for understanding brain function and developing new computational models.
- Threshold activated coupling is a potential mechanism for controlling network dynamics.
Purpose of the Study:
- To investigate the effect of threshold activated coupling at selected pinning sites on chaotic neuronal maps.
- To determine the influence of increasing pinning density on the system's dynamics.
- To identify the optimal conditions for suppressing chaotic behavior.
Main Methods:
- Simulations of chaotic neuronal maps with varying pinning densities.
- Analysis of spatiotemporal patterns and temporal cycles.
- Application of a control algorithm at selected pinning sites.
Main Results:
- A transition from spatiotemporal chaos to a fixed spatial profile with synchronized temporal cycles was observed as pinning density increased.
- An optimal fraction of pinning sites was identified for effective chaos suppression.
- The effectiveness of the control algorithm depends on the density and selection of pinning sites.
Conclusions:
- Threshold activated coupling can effectively suppress spatiotemporal chaos in neuronal maps.
- An optimal pinning density exists for transitioning the system to synchronized states.
- Targeted control at a specific fraction of sites is key to managing chaotic dynamics in these systems.
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