Resonant features in a forced population of excitatory neurons

Emergence of global synchronization in directed excitatory networks of type I neurons

The collective behaviour of neural networks depends on the cellular and synaptic properties of the neurons. The phase-response curve (PRC) is an experimentally obtainable measure of cellular properties that quantifies the shift in the next spike time of a neuron as a function of the phase at which stimulus is delivered to that neuron. The neuronal PRCs can be classified as having either purely positive values (type I) or distinct positive and negative regions (type II). Networks of type 1 PRCs tend not to synchronize via mutual excitatory synaptic connections. We study the synchronization prop…

Volatile Memory Motifs: Minimal Spiking Neural Networks

How spiking neuronal networks encode memories in their different time and spatial scales constitute a fundamental topic in neuroscience and neuro-inspired engineering. Much attention has been paid to large networks and long-term memory, for example in models of associative memory. Smaller circuit motifs may play an important complementary role on shorter time scales, where broader network effects may be of less relevance. Yet, compact computational models of spiking neural networks that exhibit short-term volatile memory and actively hold information until their energy source is switched off, …

性能进化共振网络中浮现的E-I结构

Emergent E-I Structure in Performance-Evolved Reservoir Networks of Neuronal Population Dynamics

研究通过性能驱动网络进化框架，揭示共振网络在预测神经动态中的结构特性，展示了其在恢复生理节律结构中的有效性。

Emergent Dynamics and Spatio Temporal Patterns on Multiplex Neuronal Networks

We present a study on the emergence of a variety of spatio temporal patterns among neurons that are connected in a multiplex framework, with neurons on two layers with different functional couplings. With the Hindmarsh-Rose model for the dynamics of single neurons, we analyze the possible patterns of dynamics in each layer separately and report emergent patterns of activity like in-phase synchronized oscillations and amplitude death for excitatory coupling and anti-phase mixed-mode oscillations in multi-clusters with phase regularities when the connections are inhibitory. When they are multipl…

Geometric Analysis of Synchronization in Neuronal Networks with Global Inhibition and Coupling Delays

We study synaptically coupled neuronal networks to identify the role of coupling delays in network's synchronized behaviors. We consider a network of excitable, relaxation oscillator neurons where two distinct populations, one excitatory and one inhibitory, are coupled and interact with each other. The excitatory population is uncoupled, while the inhibitory population is tightly coupled. A geometric singular perturbation analysis yields existence and stability conditions for synchronization states under different firing patterns between the two populations, along with formulas for the periods…

噪声诱导的双向耦合I型神经元同步化

Noise-induced synchronization in bidirectionally coupled type-I neurons

我们在这里提出了一些研究噪声诱导的顺序和同步发射的系统中的双向耦合通用I型神经元。我们发现，从非同步到完全同步状态的转换发生超过一个临界值的噪声强度，有一个明确的功能依赖于神经元的耦合强度和输入值。对于一个神经兴奋性（IE）突触耦合，部分同步状态的方法示出定性地根据输入是小于或大于一个临界值而变化。我们发现，噪声的引入可以导致延迟的兴奋性神经元的放电模式的分歧IE耦合。