scholarly journals Low-Dimensional Dynamics of Populations of Pulse-Coupled Oscillators

2014 ◽  
Vol 4 (1) ◽  
Author(s):  
Diego Pazó ◽  
Ernest Montbrió
Keyword(s):  
Coupled Oscillators ◽  
Pulse Coupled Oscillators ◽  
Low Dimensional ◽  
Low Dimensional Dynamics ◽  
Dynamics Of Populations

scholarly journals Multiscale low-dimensional motor cortical state dynamics predict naturalistic reach-and-grasp behavior

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Hamidreza Abbaspourazad ◽  
Mahdi Choudhury ◽  
Yan T. Wong ◽  
Bijan Pesaran ◽  
Maryam M. Shanechi
Keyword(s):  
Neural Control ◽  
Multiple Scales ◽  
Network Activity ◽  
Neural Dynamics ◽  
Population Activity ◽  
Reach And Grasp ◽  
Spatiotemporal Scales ◽  
Motor Cortical ◽  
Low Dimensional ◽  
Low Dimensional Dynamics

AbstractMotor function depends on neural dynamics spanning multiple spatiotemporal scales of population activity, from spiking of neurons to larger-scale local field potentials (LFP). How multiple scales of low-dimensional population dynamics are related in control of movements remains unknown. Multiscale neural dynamics are especially important to study in naturalistic reach-and-grasp movements, which are relatively under-explored. We learn novel multiscale dynamical models for spike-LFP network activity in monkeys performing naturalistic reach-and-grasps. We show low-dimensional dynamics of spiking and LFP activity exhibited several principal modes, each with a unique decay-frequency characteristic. One principal mode dominantly predicted movements. Despite distinct principal modes existing at the two scales, this predictive mode was multiscale and shared between scales, and was shared across sessions and monkeys, yet did not simply replicate behavioral modes. Further, this multiscale mode’s decay-frequency explained behavior. We propose that multiscale, low-dimensional motor cortical state dynamics reflect the neural control of naturalistic reach-and-grasp behaviors.

Asynchronous states in networks of pulse-coupled oscillators

1993 ◽  
Vol 48 (2) ◽  
pp. 1483-1490 ◽  
Author(s):  
L. F. Abbott ◽  
Carl van Vreeswijk
Keyword(s):  
Coupled Oscillators ◽  
Pulse Coupled Oscillators

Evidence of low-dimensional dynamics in a traffic noise time series

2001 ◽  
Vol 12 (5) ◽  
pp. 859-864
Author(s):  
V.K. Jain ◽  
A.K. Srivastava ◽  
Anup Das ◽  
Vikas Rai
Keyword(s):  
Time Series ◽  
Traffic Noise ◽  
Low Dimensional ◽  
Low Dimensional Dynamics

Low-dimensional dynamics of a turbulent wall flow

2001 ◽  
Vol 435 ◽  
pp. 81-91 ◽  
Author(s):  
JAVIER JIMÉNEZ ◽  
MARK P. SIMENS
Keyword(s):  
Numerical Simulations ◽  
Single Copy ◽  
Streamwise Vortices ◽  
Low Velocity ◽  
Wall Distance ◽  
Wall Flow ◽  
Low Dimensional ◽  
Turbulent Wall ◽  
Low Dimensional Dynamics ◽  
Masking Function

The low-dimensional dynamics of the structures in a turbulent wall flow are studied by means of numerical simulations. These are made both ‘minimal’, in the sense that they contain a single copy of each relevant structure, and ‘autonomous’ in the sense that there is no outer turbulent flow with which they can interact. The interaction is prevented by a numerical mask that damps the flow above a given wall distance, and the flow behaviour is studied as a function of the mask height. The simplest case found is a streamwise wave that propagates without change. It takes the form of a single wavy low-velocity streak flanked by two counter-rotating staggered quasi-streamwise vortices, and is found when the height of the numerical masking function is less than δ+1 ≈ 50. As the mask height is increased, this solution bifurcates into an almost-perfect limit cycle, a two-frequency torus, weak chaos, and full-edged bursting turbulence. The transition is essentially complete when δ+1 ≈ 70, even if the wall-parallel dimensions of the computational box are small enough for bursting turbulence to be metastable, lasting only for a few bursting cycles. Similar low-dimensional dynamics are found in somewhat larger boxes, containing two copies of the basic structures, in which the bursting turbulence is self-sustaining.

Desynchronization by phase slip patterns in networks of pulse-coupled oscillators with delays

2018 ◽  
Vol 227 (10-11) ◽  
pp. 1117-1128 ◽  
Author(s):  
Vladimir Klinshov ◽  
Leonhard Lücken ◽  
Serhiy Yanchuk
Keyword(s):  
Coupled Oscillators ◽  
Phase Slip ◽  
Pulse Coupled Oscillators

scholarly journals A dynamical study of pulse-coupled oscillators in the brain

2012 ◽  
Vol 13 (S1) ◽  
Author(s):  
Tanushree Luke ◽  
Ernest Barreto ◽  
Paul So
Keyword(s):  
Coupled Oscillators ◽  
Dynamical Study ◽  
Pulse Coupled Oscillators ◽  
The Brain
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