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Chimera states in bursting neurons
Bidesh K Bera1, Dibakar Ghosh1, M Lakshmanan2
1Physics and Applied Mathematics Unit, Indian Statistical Institute, Kolkata-700108, India.
Physical Review. E
|February 13, 2016
Summary
Chimera states emerge in bursting neuron networks even with local coupling, challenging previous findings for non-local or global connections. This study reveals novel network dynamics in identical bursting neurons.
Area of Science:
- Computational Neuroscience
- Complex Systems
- Nonlinear Dynamics
Background:
- Chimera states, a mixture of coherent and incoherent dynamics, are typically observed in nonlocally or globally coupled oscillator networks.
- Bursting neurons, like the Hindmarsh-Rose model, exhibit complex temporal patterns crucial for understanding neural network behavior.
Purpose of the Study:
- To investigate the emergence and characteristics of chimera and multichimera states in pulse-coupled networks of bursting Hindmarsh-Rose neurons.
- To explore the role of different coupling types (local, nonlocal, global) in the formation of these complex network states.
- To analyze the stability of various network states, including incoherent, coherent, chimera, and multichimera.
Main Methods:
- Linear stability analysis to determine the behavior of network states.
- Utilizing a chemical synaptic coupling function to model neuron interactions.
- Employing statistical measures and mean phase velocity for state confirmation.
Main Results:
- Chimera and multichimera states were surprisingly found to exist even with local (nearest neighbor) coupling in identical bursting neurons.
- The chemical synaptic coupling function significantly influences the emergence of chimera states in these bursting neuron networks.
- Linear stability analysis confirmed the presence of chimera, multichimera, coherent, and disordered states.
Conclusions:
- Local coupling alone can induce chimera and multichimera states in networks of identical bursting neurons, broadening the conditions for their occurrence.
- The specific coupling function is critical for observing chimera states in bursting neuronal systems.
- The findings challenge existing paradigms regarding the coupling requirements for chimera states and offer new insights into neural network dynamics.
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