Automatic control of phase synchronization in coupled complex oscillators

Belykht, V.N.; Kuckländer, Nina; Osipov, Grigory V.; Blasius, Bernd; Kurths, Jürgen

doi:10.1109/phycon.2005.1513957

Cited by 3 publications

(1 citation statement)

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“…In this paper we have considered adaptively coupled networks of Hindmarsh-Rose neurons, where the membrane input current I is set to produce bursting behavior for the neurons, as this is known to be a key aspect of information processing in the brain [ 30 , 63 ]. We have also explored the behavior of our adaptively coupled networks when the membrane input current I is set to give spiking behavior for the neurons.…”

Section: Discussionmentioning

confidence: 99%

Emergence of local synchronization in neuronal networks with adaptive couplings

et al. 2017

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Local synchronization, both prolonged and transient, of oscillatory neuronal behavior in cortical networks plays a fundamental role in many aspects of perception and cognition. Here we study networks of Hindmarsh-Rose neurons with a new type of adaptive coupling, and show that these networks naturally produce both permanent and transient synchronization of local clusters of neurons. These deterministic systems exhibit complex dynamics with 1/fη power spectra, which appears to be a consequence of a novel form of self-organized criticality.

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Section: Discussionmentioning

confidence: 99%