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Measurement of Coherence Decay in GaMnAs Using Femtosecond Four-wave Mixing

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Asymmetry in pulse-coupled oscillators with delay.

M Zeitler¹, A Daffertshofer, C C A M Gielen

¹Donders Institute for Brain, Cognition, and Behaviour, Radboud University Nijmegen, Geert Grooteplein 21, 6525 EZ Nijmegen, The Netherlands. m.zeitler@science.ru.nl

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|August 8, 2009

Summary

Asymmetric coupling in neural oscillators can improve reliable information transfer by reducing bistability. This study explores synchronization dynamics in coupled neural systems with time delays.

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Area of Science:

Computational neuroscience
Dynamical systems theory

Background:

Neural oscillators are fundamental to brain function.
Synchronization of neural activity is crucial for information processing.
Time delays are inherent in neural communication.

Purpose of the Study:

To investigate the impact of asymmetric coupling on synchronization dynamics in neural oscillators with time delay.
To analyze how coupling symmetry affects stable states and bifurcations.
To determine the implications of these dynamics for neural information transfer.

Main Methods:

Mathematical modeling of coupled neural oscillators.
Stability analysis of synchronization states.
Bifurcation analysis to identify critical parameter changes.

Main Results:

Symmetric excitatory coupling allows synchrony at multiple phase relations.
Asymmetric coupling introduces saddle-node bifurcations, altering stable states.
Inhibitory coupling stability is sensitive to symmetry, potentially vanishing otherwise.
Asymmetric coupling narrows the bistability range.

Conclusions:

Asymmetric coupling can enhance the reliability of neural information transfer.
The observed dynamics offer insights into neural coding and network stability.
Understanding these synchronization patterns is key for brain-inspired computing.