Synchronization of Hindmarsh-Rose neurons via Huygens-like coupling
نویسندگان
چکیده
منابع مشابه
Efficient synchronization of structurally adaptive coupled Hindmarsh-Rose neurons
The use of spikes to carry information between brain areas implies complete or partial synchronization of the neurons involved. The degree of synchronization reached by two coupled systems and the energy cost of maintaining their synchronized behaviour is highly dependent on the nature of the systems. For non-identical systems the maintenance of a synchronized regime is energetically a costly p...
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We investigate the dynamical states of a two-dimensional network of Hindmarsh-Rose spiking neurons, in the vicinity of the current threshold where the single neuron becomes active. Each neuron is electrically coupled with neurons in its close neighborhood. The existence of multistable synchronization states is established and discussed. We also show that, provided adequate initial conditions, t...
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In this paper, a coupling scheme based on Nonlinear Open Loop Controllers, between two identical coupled Hindmarsh–Rose neuron models is investigated analytically and numerically. In more details the cases of bidirectional and unidirectional coupling are chosen, which are designed for achieving two of the more interesting types of synchronization the complete synchronization and anti-synchroniz...
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Many biological processes involve synchronization between nonequiva-lent systems, i.e, systems where the difference is limited to a rather small parameter mismatch. The maintenance of the synchronized regime in this cases is energetically costly [1]. This work studies the energy implications of synchronization phenomena in a pair of structurally flexible coupled neurons that interact through el...
متن کاملMathematical Model of Dynamics and Synchronization of Coupled Neurons Using Hindmarsh-Rose Model
This paper presents mathematical model of the dynamics and synchronization of coupled neurons. The aim is first the understanding of the biological meaning of existing mathematical systems concerning neurons such as Hindmarsh-Rose models. Synchronization is an interesting phenomenon that can occur in such large topologies consisting of connected systems, i.e. after a certain time period either ...
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ژورنال
عنوان ژورنال: IFAC-PapersOnLine
سال: 2018
ISSN: 2405-8963
DOI: 10.1016/j.ifacol.2018.12.115