Liu, J., Crawford, J. and Viola, R. (1995) Chaos, coexistence of attractors and fractal basin boundaries of attraction in a model system coupling activation and inhibition in parallel. Dynamics and Stability of Systems, 10(2), pp. 111-124. (doi: 10.1080/02681119508806198)
Full text not currently available from Enlighten.
Abstract
The dynamical behaviour of a theoretical model featuring activation and inhibition coupled in parallel is studied in two different parameter regions. The coexist- ence of attractors between various complex oscillations and between period-2 oscillation and chaos has been found. Coexisting period-1 and other periodic attractors are also observed. A range of bifurcation behaviours is found, including periud duubling cascades to chaos and the existence of two period-1 regimes produced from sub- and super-critical Hopf bifurcations respectively. For the coexisting attractors, the fractal basin boundaries of attraction are observed. Finally, we discuss the implications of the model for enzymatic reactions.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Crawford, Professor John |
| Authors: | Liu, J., Crawford, J., and Viola, R. |
| College/School: | College of Social Sciences > Adam Smith Business School > Management |
| Journal Name: | Dynamics and Stability of Systems |
| Publisher: | Journals Oxford Ltd |
| ISSN: | 1468-9367 |
| ISSN (Online): | 1468-9375 |
University Staff: Request a correction | Enlighten Editors: Update this record
Deposit and Record Details
Deposit and Record Details