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Title: A numerical study on iso-spiking bifurcations of some neural systems
Keywords: Bursting activity, spike number, iso-spiking intervals, singular perturbations, natural number progression, renormalization universality.
Issue Date: 11-Mar-2004
Citation: CHING MENG HUI (2004-03-11). A numerical study on iso-spiking bifurcations of some neural systems. ScholarBank@NUS Repository.
Abstract: Many biological systems can be usefully simulated by mathematical models involving dynamical systems. These models will exhibit spike-like phenomenon through a series of bursts. If a system has a constant integer spike number (the number of spikes per burst) for all bursts, the system is said to be iso-spiking. Using the spike number as a neural discretization analog for stimulatory parameters in the iso-spiking region and deriving scaling laws for this neural encoding scheme (as applied to the dynamical system) we show that the natural number 1 is a universal number depending only on the encoding scheme. Computer simulations are presented to support the theorectical predictions.
Appears in Collections:Master's Theses (Open)

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