2013
DOI: 10.1140/epjst/e2013-02024-9
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Neuron-like dynamics of a phase-locked loop

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Cited by 16 publications
(17 citation statements)
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“…Information routing in neural networks is often modeled with oscillatory phase dynamics between different neural populations. These phase-sensitive neural networks are frequently used to model phenomena such as recognition memory (Hoppenstadt & Izhikevich 2000, Matrosov, Mishchenko, & Shalfeev 2013), wherein oscillations are used to bind together different memory components by locking different sub-processors to a target memory state. We reason that these same techniques could be used to emulate the circuit-level dynamics between neural populations that contribute to epileptiform activity, thereby identifying the circuit-level oscillatory cascade that precedes HFOs and seizures.…”
Section: Introductionmentioning
confidence: 99%
“…Information routing in neural networks is often modeled with oscillatory phase dynamics between different neural populations. These phase-sensitive neural networks are frequently used to model phenomena such as recognition memory (Hoppenstadt & Izhikevich 2000, Matrosov, Mishchenko, & Shalfeev 2013), wherein oscillations are used to bind together different memory components by locking different sub-processors to a target memory state. We reason that these same techniques could be used to emulate the circuit-level dynamics between neural populations that contribute to epileptiform activity, thereby identifying the circuit-level oscillatory cascade that precedes HFOs and seizures.…”
Section: Introductionmentioning
confidence: 99%
“…Эта модель подробно исследована в работах [23,24]. Показано, что в такой системе при всех значениях параметров реа-лизуется режим биений.…”
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“…В случае, когда вместо предельного цикла в фазовом пространстве существует хаотический аттрактор, наблюдается пачечная динамика со случайным количеством импульсов в пачке. В работах [23,24] Письма в ЖТФ, 2017, том 43, вып. 13 представлено разбиение пространства параметров модели на области существования различных динамических режимов и изучены бифурка-ционные механизмы переходов между ними.…”
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