Mathematical frameworks for oscillatory network dynamics in neuroscience
The tools of weakly coupled phase oscillator theory have had a profound impact on the
neuroscience community, providing insight into a variety of network behaviours ranging from …
neuroscience community, providing insight into a variety of network behaviours ranging from …
[كتاب][B] Dynamical systems in neuroscience
EM Izhikevich - 2007 - books.google.com
In order to model neuronal behavior or to interpret the results of modeling studies,
neuroscientists must call upon methods of nonlinear dynamics. This book offers an …
neuroscientists must call upon methods of nonlinear dynamics. This book offers an …
Gamma oscillation by synaptic inhibition in a hippocampal interneuronal network model
Fast neuronal oscillations (gamma, 20–80 Hz) have been observed in the neocortex and
hippocampus during behavioral arousal. Using computer simulations, we investigated the …
hippocampus during behavioral arousal. Using computer simulations, we investigated the …
[كتاب][B] Synchronization in oscillatory networks
This work systematically investigates a large number of oscillatory network configurations
that are able to describe many real systems such as electric power grids, lasers or even the …
that are able to describe many real systems such as electric power grids, lasers or even the …
Modeling a synthetic multicellular clock: repressilators coupled by quorum sensing
Diverse biochemical rhythms are generated by thousands of cellular oscillators that
somehow manage to operate synchronously. In fields ranging from circadian biology to …
somehow manage to operate synchronously. In fields ranging from circadian biology to …
On partial contraction analysis for coupled nonlinear oscillators
We describe a simple yet general method to analyze networks of coupled identical nonlinear
oscillators and study applications to fast synchronization, locomotion, and schooling …
oscillators and study applications to fast synchronization, locomotion, and schooling …
Connection graph stability method for synchronized coupled chaotic systems
This paper elucidates the relation between network dynamics and graph theory. A new
general method to determine global stability of total synchronization in networks with …
general method to determine global stability of total synchronization in networks with …
Synchronizing genetic relaxation oscillators by intercell signaling
The ability to design and construct synthetic gene regulatory networks offers the prospect of
studying issues related to cellular function in a simplified context; such networks also have …
studying issues related to cellular function in a simplified context; such networks also have …
Image segmentation based on oscillatory correlation
We study image segmentation on the basis of locally excitatory, globally inhibitory oscillator
networks (LEGION), whereby the phases of oscillators encode the binding of pixels. We …
networks (LEGION), whereby the phases of oscillators encode the binding of pixels. We …
Synchronization of elliptic bursters
Periodic bursting behavior in neurons is a recurrent transition between a quiescent state and
repetitive spiking. When the transition to repetitive spiking occurs via a subcritical Andronov …
repetitive spiking. When the transition to repetitive spiking occurs via a subcritical Andronov …