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Long-range interaction effects on coupled excitable nodes: traveling waves and chimera state
Guy Blondeau Soh1, Robert Tchitnga1,2, Paul Woafo3
1Laboratory of Electronics, Automation and Signal Processing, Faculty of Science, Department of Physics, University of Dschang, P.O. Box 67, Dschang, Cameroon.
Heliyon
|May 26, 2021
Summary
This study reveals how long-range interactions impact the FitzHugh-Nagumo (FHN) system
Area of Science:
- Computational Neuroscience
- Nonlinear Dynamics
- Complex Systems
Background:
- The FitzHugh-Nagumo (FHN) model is a simplified mathematical model of neuron excitability.
- Understanding neuronal network dynamics is crucial for neuroscience.
- Long-range interactions, such as through gap junctions, play a significant role in neural communication.
Purpose of the Study:
- To investigate the influence of long-range interaction parameters on the excitability threshold in a ring of FHN systems.
- To analyze the effects of long-range coupling on network dynamics and emergent patterns.
- To compare the dynamics of coupled oscillators versus coupled excitable neurons.
Main Methods:
- Analytical and numerical studies were employed.
- The FitzHugh-Nagumo (FHN) system was used as the model for neuronal excitability.
- Long-range interactions were introduced to a network of FHN units arranged in a ring.
Main Results:
- Long-range coupling was found to enhance the range of the excitability threshold parameter.
- The oscillatory zone before the excitable regime was enlarged by long-range effects.
- Bidirectional coupling induced traveling waves, while unidirectional coupling led to multi-chimera states.
- Oscillation period decreased with increasing coupling, and was longer for oscillatory dynamics than excitable dynamics.
Conclusions:
- Long-range interactions significantly alter the dynamics and excitability of FHN networks.
- The type of coupling (unidirectional vs. bidirectional) dictates emergent spatio-temporal patterns.
- Analytical approximations align well with numerical findings, validating the study's results.
Keywords:
Electrical synapseExcitable behaviorLong-range interactionMulti-chimera stateTraveling wavesMore Related Videos
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