scholarly journals Dynamics of a stochastic excitable system with slowly adapting feedback

2020 ◽  
Vol 30 (8) ◽  
pp. 083109
Author(s):  
Igor Franović ◽  
Serhiy Yanchuk ◽  
Sebastian Eydam ◽  
Iva Bačić ◽  
Matthias Wolfrum
Keyword(s):  
Excitable System

On the computational and numerical solutions of the transmission of nerve impulses of an excitable system (the neuron system)

2020 ◽  
Vol 38 (3) ◽  
pp. 2603-2610 ◽  
Author(s):  
Mostafa M.A. Khater ◽  
Raghda A.M. Attia ◽  
Abdel-Haleem Abdel-Aty ◽  
Sayed Abdel-Khalek ◽  
Yas Al-Hadeethi ◽  
...  
Keyword(s):  
Numerical Solutions ◽  
Neuron System ◽  
Excitable System ◽  
Nerve Impulses

Abundant new solutions of the transmission of nerve impulses of an excitable system

2020 ◽  
Vol 135 (2) ◽  
Author(s):  
Mostafa M. A. Khater ◽  
Raghda A. M. Attia ◽  
Dumitru Baleanu
Keyword(s):  
Excitable System ◽  
Nerve Impulses

From collective oscillation to chimera state in a nonlocally coupled excitable system

2018 ◽  
Vol 91 (3) ◽  
pp. 1723-1731 ◽  
Author(s):  
Qionglin Dai ◽  
Mengya Zhang ◽  
Hongyan Cheng ◽  
Haihong Li ◽  
Fagen Xie ◽  
...  
Keyword(s):  
Collective Oscillation ◽  
Chimera State ◽  
Excitable System

Information resonance in a model excitable system

2013 ◽  
Vol 86 (6) ◽  
Author(s):  
Jerzy Gorecki ◽  
Adam Gorecki ◽  
Annie Lemarchand ◽  
Bogdan Nowakowski
Keyword(s):  
Excitable System

scholarly journals Coherence resonance in an excitable system with time delay

2007 ◽  
Vol 364 (3-4) ◽  
pp. 227-230 ◽  
Author(s):  
Gautam C. Sethia ◽  
Jürgen Kurths ◽  
Abhijit Sen
Keyword(s):  
Time Delay ◽  
Coherence Resonance ◽  
Excitable System ◽  
System With Time Delay

Pinned Scroll Rings in an Excitable System

2009 ◽  
Vol 102 (24) ◽  
Author(s):  
Zulma A. Jiménez ◽  
Bradley Marts ◽  
Oliver Steinbock
Keyword(s):  
Excitable System

ON SPIRAL GLIDER-GUNS IN HEXAGONAL CELLULAR AUTOMATA: ACTIVATOR-INHIBITOR PARADIGM

2006 ◽  
Vol 17 (07) ◽  
pp. 1009-1026 ◽  
Author(s):  
ANDREW WUENSCHE ◽  
ANDREW ADAMATZKY
Keyword(s):  
Cellular Automaton ◽  
Complex Dynamics ◽  
Reaction Diffusion ◽  
Dimensional Lattice ◽  
Excitable System ◽  
Rich Diversity ◽  
Dependent Inhibition ◽  
Computational Properties ◽  
Activator Inhibitor ◽  
Hexagonal Tiling

We present a cellular-automaton model of a reaction-diffusion excitable system with concentration dependent inhibition of the activator, and study the dynamics of mobile localizations (gliders) and their generators. We analyze a three-state totalistic cellular automaton on a two-dimensional lattice with hexagonal tiling, where each cell connects with 6 others. We show that a set of specific rules support spiral glider-guns (rotating activator-inhibitor spirals emitting mobile localizations) and stationary localizations which destroy or modify gliders, along with a rich diversity of emergent structures with computational properties. We describe how structures are created and annihilated by glider collisions, and begin to explore the necessary processes that generate this kind of complex dynamics.

scholarly journals Stationary pattern formation in a discrete excitable system with strong inhibitory coupling

2009 ◽  
Vol 79 (5) ◽  
Author(s):  
Naoko Kurata ◽  
Hiroyuki Kitahata ◽  
Hitoshi Mahara ◽  
Atsushi Nomura ◽  
Hidetoshi Miike ◽  
...  
Keyword(s):  
Pattern Formation ◽  
Stationary Pattern ◽  
Excitable System ◽  
Inhibitory Coupling
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