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Synchronization in a chaotic neural network with time delay depending on the spatial distance between neurons
Guoning Tang1, Kesheng Xu, Luoluo Jiang
1College of Physics and Technology, Guangxi Normal University, Guilin 541004, China. tangguoning@sohu.com
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 21, 2011
Summary
Time delay disrupts synchronization in neuronal networks. Large coupling and delay factors cause abnormal oscillations, leading to desynchronization, but specific parameters enable complete synchronization.
Area of Science:
- Computational Neuroscience
- Complex Systems
Background:
- Neuronal synchronization is crucial for brain function.
- Time delays in neural networks can significantly impact signal processing and network dynamics.
Purpose of the Study:
- To investigate the effect of global coupling with distance-dependent time delay on synchronization in a 2D Hindmarsh-Rose neuronal network.
- To analyze the mechanisms behind synchronization and desynchronization induced by time delays.
Main Methods:
- Simulated a two-dimensional Hindmarsh-Rose neuronal network.
- Introduced a global coupling scheme with spatially proportional time delay.
- Varied coupling strength and time delay enlargement factor to observe network behavior.
Main Results:
- Time delay consistently disturbed neuronal network synchronization.
- Sufficiently large coupling strength and delay enlargement factor induced abnormal, antiphase membrane potential oscillations, leading to desynchronization.
- Complete and intermittently complete synchronization were achieved with specific parameter choices.
Conclusions:
- Time delay is a critical factor influencing synchronization in neuronal networks.
- The interplay between coupling strength and time delay determines network synchronization patterns, including desynchronization and intermittent synchronization.
- Understanding these dynamics is essential for modeling neural communication and dysfunction.
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