A review for dynamics in neuron and neuronal network
Abstract The biological Hodgkin–Huxley model and its simplified versions have confirmed its
effectiveness for recognizing and understanding the electrical activities in neurons, and …
effectiveness for recognizing and understanding the electrical activities in neurons, and …
Symmetry breaking in space-time hierarchies shapes brain dynamics and behavior
In order to maintain brain function, neural activity needs to be tightly coordinated within the
brain network. How this coordination is achieved and related to behavior is largely unknown …
brain network. How this coordination is achieved and related to behavior is largely unknown …
Synchronization in Hindmarsh–Rose neurons subject to higher-order interactions
Higher-order interactions might play a significant role in the collective dynamics of the brain.
With this motivation, we here consider a simplicial complex of neurons, in particular …
With this motivation, we here consider a simplicial complex of neurons, in particular …
Phase synchronization between two neurons induced by coupling of electromagnetic field
Based on an improved neuron model with electromagnetic induction being considered, the
phase synchronization approaching is investigated on a four-variable Hindmarsh–Rose …
phase synchronization approaching is investigated on a four-variable Hindmarsh–Rose …
Reproduced neuron-like excitability and bursting synchronization of memristive Josephson junctions loaded inductor
Employing electronic component including memristor and Josephson junction to mimic
biological neuron or synapse has elicited intense research in recent years. Neurons …
biological neuron or synapse has elicited intense research in recent years. Neurons …
New approach to synchronization analysis of linearly coupled ordinary differential systems
In this paper, a general framework is presented for analyzing the synchronization stability of
Linearly Coupled Ordinary Differential Equations (LCODEs). The uncoupled dynamical …
Linearly Coupled Ordinary Differential Equations (LCODEs). The uncoupled dynamical …
Generic behavior of master-stability functions in coupled nonlinear dynamical systems
Master-stability functions (MSFs) are fundamental to the study of synchronization in complex
dynamical systems. For example, for a coupled oscillator network, a necessary condition for …
dynamical systems. For example, for a coupled oscillator network, a necessary condition for …
Synchronization of bursting neurons: What matters in the network topology
We study the influence of coupling strength and network topology on synchronization
behavior in pulse-coupled networks of bursting Hindmarsh-Rose neurons. Surprisingly, we …
behavior in pulse-coupled networks of bursting Hindmarsh-Rose neurons. Surprisingly, we …
Chimera states in bursting neurons
We study the existence of chimera states in pulse-coupled networks of bursting Hindmarsh-
Rose neurons with nonlocal, global, and local (nearest neighbor) couplings. Through a …
Rose neurons with nonlocal, global, and local (nearest neighbor) couplings. Through a …
Is there a user-friendly building unit to replicate rhythmic patterns of CPG systems? Synchrony transition and application of the delayed bursting-HCO model
The CPG neural system is an important local circuit to control rhythmic movement of
vertebrates and invertebrates. The half-central oscillator (HCO), ie the building unit of the …
vertebrates and invertebrates. The half-central oscillator (HCO), ie the building unit of the …