scholarly journals Complex partial synchronization patterns in networks of delay-coupled neurons

2019 ◽  
Vol 377 (2153) ◽  
pp. 20180128 ◽  
Author(s):  
D. Nikitin ◽  
I. Omelchenko ◽  
A. Zakharova ◽  
M. Avetyan ◽  
A. L. Fradkov ◽  
...  
Keyword(s):  
Nonlinear Dynamics ◽  
Temporal Dynamics ◽  
Delay Systems ◽  
Theme Issue ◽  
Partial Synchronization ◽  
Multiplex Network ◽  
Control Scheme ◽  
Non Local ◽  
Spatio Temporal ◽  
Fast Oscillations

We study the spatio-temporal dynamics of a multiplex network of delay-coupled FitzHugh–Nagumo oscillators with non-local and fractal connectivities. Apart from chimera states, a new regime of coexistence of slow and fast oscillations is found. An analytical explanation for the emergence of such coexisting partial synchronization patterns is given. Furthermore, we propose a control scheme for the number of fast and slow neurons in each layer. This article is part of the theme issue ‘Nonlinear dynamics of delay systems’.

scholarly journals Delay-induced switched states in a slow–fast system

2019 ◽  
Vol 377 (2153) ◽  
pp. 20180118 ◽  
Author(s):  
Stefan Ruschel ◽  
Serhiy Yanchuk
Keyword(s):  
Nonlinear Dynamics ◽  
Positive Feedback ◽  
Delay Time ◽  
Delay System ◽  
Delay Systems ◽  
Round Trip ◽  
Theme Issue ◽  
Feedback Function ◽  
Fast System ◽  
Two Component

We consider the two-component delay system εx ′( t ) = −  x ( t ) −  y ( t ) +  f ( x ( t  − 1)), y ′( t ) =  ηx ( t ) with small para- meters ε , η and positive feedback function f . Previously, such systems have been reported to model switching in optoelectronic experiments, where each switching induces another one after approximately one delay time, related to one round trip of the signal. In this paper, we study these delay-induced switched states. We provide conditions for their existence and show how the formal limits ε  → 0 and/or η  → 0 facilitate our understanding of this phenomenon. This article is part of the theme issue ‘Nonlinear dynamics of delay systems’.

scholarly journals Nonlinear dynamics of delay systems: an overview

2019 ◽  
Vol 377 (2153) ◽  
pp. 20180389 ◽  
Author(s):  
A. Otto ◽  
W. Just ◽  
G. Radons
Keyword(s):  
Nonlinear Dynamics ◽  
Nonlinear Effects ◽  
Signal Propagation ◽  
Delay System ◽  
Delay Systems ◽  
Climate Modelling ◽  
Theme Issue ◽  
Time Varying Delay ◽  
Interdisciplinary Field ◽  
Laser Systems

Time delays play an important role in many fields such as engineering, physics or biology. Delays occur due to finite velocities of signal propagation or processing delays leading to memory effects and, in general, infinite-dimensional systems. Time delay systems can be described by delay differential equations and often include non-negligible nonlinear effects. This overview article introduces the theme issue ‘Nonlinear dynamics of delay systems’, which contains new fundamental results in this interdisciplinary field as well as recent developments in applications. Fundamentally, new results were obtained especially for systems with time-varying delay and state-dependent delay and for delay system with noise, which do often appear in real systems in engineering and nature. The applications range from climate modelling over network dynamics and laser systems with feedback to human balancing and machine tool chatter. This article is part of the theme issue ‘Nonlinear dynamics of delay systems’.

SPATIO-TEMPORAL NONLINEAR DYNAMICS IN A SYSTEM OF ILLUMINATED AND DARK SEMICONDUCTORS

2009 ◽  
Vol 23 (26) ◽  
pp. 5093-5108
Author(s):  
K. JANDIERI ◽  
Z. KACHLISHVILI ◽  
E. KHIZANISHVILI ◽  
N. METREVELI
Keyword(s):  
Nonlinear Dynamics ◽  
Crucial Role ◽  
Temporal Dynamics ◽  
Equilibrium Points ◽  
Oscillatory Behavior ◽  
Electric Breakdown ◽  
Negative Differential Conductivity ◽  
Differential Conductivity ◽  
In Series ◽  
Spatio Temporal

Spatio-temporal dynamics in series-connected illuminated and dark semiconductors is studied under conditions of impurity electric breakdown. It is found that in the vicinity of unstable equilibrium points that correspond to the negative differential conductivity of illuminated or dark (or both) semiconductor samples, the nucleation, traveling, and destroying of electrical domains play a crucial role in the nonlinear oscillatory behavior of semiconductors.

Spatial and temporal dynamics of Pacific capelin Mallotus catervarius in the Gulf of Alaska: implications for ecosystem-based fisheries management

2020 ◽  
Vol 637 ◽  
pp. 117-140 ◽  
Author(s):  
DW McGowan ◽  
ED Goldstein ◽  
ML Arimitsu ◽  
AL Deary ◽  
O Ormseth ◽  
...  
Keyword(s):  
Temporal Dynamics ◽  
Marine Ecosystem ◽  
Gulf Of Alaska ◽  
Data Series ◽  
Limited Information ◽  
Important Species ◽  
Multiple Data ◽  
Spatial And Temporal Dynamics ◽  
Spawning Areas ◽  
Spatio Temporal

Pacific capelin Mallotus catervarius are planktivorous small pelagic fish that serve an intermediate trophic role in marine food webs. Due to the lack of a directed fishery or monitoring of capelin in the Northeast Pacific, limited information is available on their distribution and abundance, and how spatio-temporal fluctuations in capelin density affect their availability as prey. To provide information on life history, spatial patterns, and population dynamics of capelin in the Gulf of Alaska (GOA), we modeled distributions of spawning habitat and larval dispersal, and synthesized spatially indexed data from multiple independent sources from 1996 to 2016. Potential capelin spawning areas were broadly distributed across the GOA. Models of larval drift show the GOA’s advective circulation patterns disperse capelin larvae over the continental shelf and upper slope, indicating potential connections between spawning areas and observed offshore distributions that are influenced by the location and timing of spawning. Spatial overlap in composite distributions of larval and age-1+ fish was used to identify core areas where capelin consistently occur and concentrate. Capelin primarily occupy shelf waters near the Kodiak Archipelago, and are patchily distributed across the GOA shelf and inshore waters. Interannual variations in abundance along with spatio-temporal differences in density indicate that the availability of capelin to predators and monitoring surveys is highly variable in the GOA. We demonstrate that the limitations of individual data series can be compensated for by integrating multiple data sources to monitor fluctuations in distributions and abundance trends of an ecologically important species across a large marine ecosystem.

Spatio‐temporal dynamics of water quality and eutrophication in Lake Taihu, China

Ecohydrology ◽  
2021 ◽  
Author(s):  
Qiongfang Li ◽  
Yuting Zhu ◽  
Qihui Chen ◽  
Yu Li ◽  
Jing Chen ◽  
...  
Keyword(s):  
Water Quality ◽  
Temporal Dynamics ◽  
Lake Taihu ◽  
Spatio Temporal
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