History-Dependent Multiple-Time-Scale Dynamics in a Single-Neuron Model

History-dependent multiple-time-scale dynamics in a single-neuron model.

History-dependent characteristic time scales in dynamics have been observed at several levels of organization in neural systems. Such dynamics can provide powerful means for computation and memory. At the level of the single neuron, several microscopic mechanisms, including ion channel kinetics, can support multiple-time-scale dynamics. How the temporally complex channel kinetics gives rise to ...

Dynamics of a single model neuron ∗

The parametrized dynamics of a standard nonlinear model neuron with self-interaction is discussed. For units with a self-excitatory connection a hysteresis effect is observed, and the underlying mechanism is identified as that of a cusp catastrophe. This is true for discrete as well as for continuous dynamics. For the discrete dynamics of self-inhibiting units there appear period-doubling bifur...

A single-vendor and a single-buyer integrated inventory model with ordering cost reduction dependent on lead time

Lead time is one of the major limits that affect planning at every stage of the supply chain system. In this paper, we study a continuous review inventory model. This paper investigates the ordering cost reductions are dependent on lead time. This study addressed two-echelon supply chain problem consisting of a single vendor and a single buyer. The main contribution of this study is that the in...

Spike timing dependent structural plasticity in a single model neuron

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Dynamics of a discrete-time plant-herbivore model