Characteristic bursting behavior is observed in a driven, two-dimensional viscous flow, confined to a square domain and subject to no-slip boundaries. Passing a critical parameter value, an existing chaotic attractor undergoes a crisis, after which the flow initially enters a transient bursting regime. Bursting is caused by ejections from and return to a limited subdomain of the phase space, wh...

Bursting refers to patterns of consisting of episodes of relatively separated by intervals of neural activity fast spiking . Bursting neurons are ubiquitous in the nervous system and play important roles in the production of motor, quiescence sensory, and cognitive behaviors. Because bursting is the predominant mode of activity in central pattern generator (CPG networks that underlie rhythmic m...

We describe a novel dynamic mechanism for episodic or compound bursting oscillations, in which bursts of electrical impulses are clustered together into episodes, separated by long silent phases. We demonstrate the mechanism for episodic bursting using a minimal mathematical model for "phantom bursting." Depending on the location in parameter space, this model can produce fast, medium, or slow ...

We investigate bursting behaviour generated in an electrophysiological model of pituitary corticotrophs. The active and silent phases of this mode of bursting are generated by moving between two stable oscillatory solutions. The bursting is indirectly driven by slow modulation of the endoplasmic reticulum Ca2+ concentration. The model exhibits different modes of bursting, and we investigate mod...

This paper summarizes some lessons learned from the computational study of bursting oscillations in small networks of model pre-Bötzinger complex (pBC) neurons. Dynamical systems analysis explains the mechanisms through which synaptic coupling enhances the dynamic range of bursting and predicts the existence of multiple forms of busting and tonic spiking solutions. This analysis also demonstrat...

Brain damage causes multiple changes in synaptic function and intrinsic properties of surviving neurons, leading to the development of chronic epilepsy. In the widely used pilocarpine-status epilepticus (SE) rat model of temporal lobe epilepsy (TLE), a major alteration is the marked increase in the fraction of intrinsically bursting CA1 pyramidal cells. Here we have differentiated between two t...

We describe a novel type of bursting that we observe in simulations of large recurrent networks of biophysically plausible, intrinsically non-bursting neurons. The mechanism responsible for the bursting is a combination of excitatory feedback received from neighbouring neurons, together with an activity-dependent adaptation mechanism that slows down spiking. During the bursting phases, the firi...

We study the transition from a silent state to a bursting state by varying the dc stimulus in the Hindmarsh-Rose neuron under quasiperiodic stimulation. For this quasiperiodically forced case, a new type of strange nonchaotic (SN) bursting state is found to occur between the silent state and the chaotic bursting state. This is in contrast to the periodically forced case where the silent state t...