Chaotic Dynamics in Iterated Map Neural Networks with Piecewise Linear Activation Function
| dc.creator | Sinha, Sitabhra | |
| dc.date | 1999-03-06 | |
| dc.date.accessioned | 2026-07-07T02:35:40Z | |
| dc.date.available | 2026-07-07T02:35:40Z | |
| dc.description | The paper examines the discrete-time dynamics of neuron models (of excitatory and inhibitory types) with piecewise linear activation functions, which are connected in a network. The properties of a pair of neurons (one excitatory and the other inhibitory) connected with each other, is studied in detail. Even such a simple system shows a rich variety of behavior, including high-period oscillations and chaos. Border-collision bifurcations and multifractal fragmentation of the phase space is also observed for a range of parameter values. Extension of the model to a larger number of neurons is suggested under certain restrictive assumptions, which makes the resultant network dynamics effectively one-dimensional. Possible applications of the network for information processing are outlined. These include using the network for auto-association, pattern classification, nonlinear function approximation and periodic sequence generation. | |
| dc.description | 20 pages, using fuin.cls (included). 12 figures. To appear in Fundamenta Informaticae (1999) | |
| dc.identifier | https://arxiv.org/abs/chao-dyn/9903009 | |
| dc.identifier | http://arxiv.org/abs/chao-dyn/9903009 | |
| dc.identifier | Fundamenta Informaticae, 37 (1999) 31-50 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/15694 | |
| dc.subject | Chaotic Dynamics | |
| dc.subject | Neurons and Cognition | |
| dc.title | Chaotic Dynamics in Iterated Map Neural Networks with Piecewise Linear Activation Function | |
| dc.type | text |