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作者:Nikolai F. Rulkov , Mikhail M. Sushchik
来源:[J].Physics Letters A(IF 1.766), 1996, Vol.214 (3), pp.145-150
摘要:Abstract(#br)The results of the experimental observation of synchronized chaos in circuits generating chaotic oscillations with different characteristic frequencies are presented. This synchronized chaotic behavior is studied in a system composed of an autonomous chaotic driving ...
作者:Nikolai F. Rulkov , Alexander B. Neiman
来源:[J].Communications in Nonlinear Science and Numerical Simulation(IF 2.773), 2018, Vol.61, pp.127-137
摘要:Abstract(#br)The discrete-time (map-based) approach to modeling nonlinear dynamics of spiking activity in neurons enables highly efficient numerical simulations for capturing realistic neurobiological behavior by utilizing a large time interval between computed states (samples) o...
作者:Paola Malerba , Nikolai F. Rulkov , Maxim Bazhenov
来源:[J].Communications in Nonlinear Science and Numerical Simulation(IF 2.773), 2019, Vol.72, pp.162-175
摘要:Abstract(#br)Reduced models of neuronal spiking activity simulated with a fixed integration time step are frequently used in studies of spatio-temporal dynamics of neurobiological networks. The choice of fixed time step integration provides computational simplicity and efficiency...
作者:Nikolai F. Rulkov , Maxim Bazhenov
来源:[J].Journal of Biological Physics(IF 0.951), 2008, Vol.34 (3-4), pp.279-299
摘要:Abstract(#br)Intrinsic neuronal and circuit properties control the responses of large ensembles of neurons by creating spatiotemporal patterns of activity that are used for sensory processing, memory formation, and other cognitive tasks. The modeling of such systems requires comp...
作者:... Giri P. Krishnan , Nikolai F. Rulkov , Maxim Bazhenov
来源:[J].Journal of Biological Physics(IF 0.951), 2011, Vol.37 (3), pp.347-360
摘要:Abstract(#br)Increase of the extracellular K + concentration mediates seizure-like synchronized activities in vitro and was proposed to be one of the main factors underlying epileptogenesis in some types of seizures in vivo. While underlying biophysical mechanisms cle...
作者:Nikolai F. Rulkov , Lev S. Tsimring
来源:[J].International Journal of Circuit Theory and Applications(IF 1.293), 1999, Vol.27 (6), pp.555-567
摘要:Abstract(#br)Methods of chaos synchronization applied to communication with chaotic signals over band‐limited channels are studied numerically and experimentally. The first group of methods employs a filter in the receiver which is designed to compensate channel distortions ...
作者:Nikolai F. Rulkov
来源:[J].2001, Vol.86 (1), pp.183
摘要:The onset of regular bursts in a group of irregularly bursting neurons with different individual properties is one of the most interesting dynamical properties found in neurobiological systems. In this paper we show how synchronization among chaotically bursting cells can lead to...
作者:Nikolai F. Rulkov , Mikhail I. Rabinovich
来源:[J].1998, Vol.81 (25), pp.5692
摘要:We report experimental studies of synchronization phenomena in a pair of biological neurons that interact through naturally occurring, electrical coupling. When these neurons generate irregular bursts of spikes, the natural coupling synchronizes slow oscillations of membrane pote...
作者:Nikolai F. Rulkov
来源:[J].International Journal of Bifurcation and Chaos(IF 0.921), 1997, Vol.7 (3), pp.625-643
摘要:In this paper we address the issue of robustness of synchronized chaotic oscillations in coupled systems. One frequently observes in physical experiments that synchronized chaotic oscillations are occasionally interrupted by brief incidents of unsynchronized behavior. By numerica...
作者:ANDREY L. SHILNIKOV , NIKOLAI F. RULKOV
来源:[J].International Journal of Bifurcation and Chaos(IF 0.921), 2003, Vol.13 (11), pp.3325-3340
摘要:Origin of chaos in a simple two-dimensional map model replicating the spiking and spiking-bursting activity of real biological neurons is studied. The map contains one fast and one slow variable. Individual dynamics of a fast subsystem of the map is characterized by two types of ...

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