Paper Info
Title
Classification Of Bursting Mappings
Abstract
When a system's activity alternates between a resting state (e.g. a stable equilibrium) and. an active state (e.g. a stable periodic orbit), the system is said to exhibit bursting behavior. We use bifurcation theory to identify three distinct topological types of bursting in one-dimensional mappings and 20 topological types in two-dimensional mappings having one fast and one slow variable. We show that different bursters can interact, synchronize, and process information differently. Our study suggests that bursting mappings do not occur only in a few isolated examples, rather they are robust nonlinear phenomena.
Year
DOI
Venue
2004
10.1142/S0218127404011739
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Keywords
DocType
Volume
spiking, bursting, synchronization resonance, maps, 1D, 2D, classification
Journal
14
Issue
ISSN
Citations 
11
0218-1274
4
PageRank 
References 
Authors
0.52
0
2
Name
Order
Citations
PageRank
Eugene M. Izhikevich11340166.74
Frank Hoppensteadt2358.30