Research on Noise-induced Transitions
I have carried out research in this topic in collaboration with Dr.
J. Güémez (from the Universidad de Cantabria). Our research
started when we discovered a transition induced by noise between a chaotic
attractor and a fixed-point attractor coexisting with it. Later we discovered
other types of transitions too. Our work relied on a master-equation representation
of the noisy dynamics in a finite-size chemical reaction.
The following papers contain our results in this field:
- J. Güémez and M.A. Matías, Internal fluctuations
in a model of chemical chaos, Physical Review E 48, R2351-R2353
(1993). (Rapid Communication)
- M.A. Matías and J. Güémez, On the effects of
molecular fluctuations on models of chemical chaos, Journal of Chemical
Physics 102, 1597-1606 (1995).
- J. Guémez and M.A. Matías, Intrinsic-noise-induced
transitions in chaotic systems
Physical Review E 51, 3059-3068 (1995).
Nonlinear Physics Group at Salamanca