Journal article
Mechanisms for oscillations in a biological competition model
Proceedings in applied mathematics and mechanics, Vol.7(1), pp.2030019-2030020
12/2007
DOI: 10.1002/pamm.200700331
Abstract
A four-dimensional dynamical system that models perceptual bistability in the brain is analyzed. Two variables represent the activity of two competing neural populations and they evolve in fast time; other two variables are slow and they are associated with an intrinsic negative feedback to each population. The external stimulus strength I is the bifurcation parameter. We construct the normal form and prove that oscillations occur in the system through supercritical Hopf bifurcations: as I decreases from large to moderate values a limit cycle is born; then it disappears for lower values of I
Details
- Title: Subtitle
- Mechanisms for oscillations in a biological competition model
- Creators
- Rodica Curtu - University of Iowa, Department of Mathematics, 14 MacLean Hall, Iowa City, IA 52242, USA
- Resource Type
- Journal article
- Publication Details
- Proceedings in applied mathematics and mechanics, Vol.7(1), pp.2030019-2030020
- DOI
- 10.1002/pamm.200700331
- ISSN
- 1617-7061
- eISSN
- 1617-7061
- Publisher
- WILEY-VCH Verlag; Berlin
- Number of pages
- 2
- Language
- English
- Date published
- 12/2007
- Academic Unit
- Iowa Neuroscience Institute; Mathematics
- Record Identifier
- 9984071775402771
Metrics
24 Record Views