Phase synchronization of nonidentical light-sensitive Belousov-Zhabotinskysystems induced by variability in a high-low illumination program

Citation
Mr. Roussel et Jc. Wang, Phase synchronization of nonidentical light-sensitive Belousov-Zhabotinskysystems induced by variability in a high-low illumination program, J PHYS CH A, 105(31), 2001, pp. 7371-7380
Citations number
66
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Physical Chemistry/Chemical Physics
Journal title
JOURNAL OF PHYSICAL CHEMISTRY A
ISSN journal
1089-5639 → ACNP
Volume
105
Issue
31
Year of publication
2001
Pages
7371 - 7380
Database
ISI
SICI code
1089-5639(20010809)105:31<7371:PSONLB>2.0.ZU;2-8
Abstract
Phase synchronization of two systems with different dynamical parameters dr iven by a common external signal is studied using a model of the photosensi tive Belousov-Zhabotinsky reaction. Complex dynamics, including chaos, aris e when the external light intensity is periodically switched between two le vels. Two dynamical conditions are investigated here: (a) the two systems a re driven between two limit cycles and (b) both systems are driven between excitable and oscillatory states. Phase synchronization is achieved with bo th Gaussian-distributed and dichotomous noise when the random variation is added to the duration of the periodic forcing. In the case that noise is ad ded to the intensity of the periodic forcing, perfect phase synchronization is achieved with dichotomous noise, whereas only transient synchronization is observed with Gaussian-distributed random variation. Studies with corre lated noise show that the compound system may have two attractors, one corr esponding to the phase synchronized state and one to unsynchronized oscilla tions (lag-synchronized or chaotic, depending on the parameters). This sugg ests that transient synchronization is due to noise-induced transitions bet ween the synchronized attractor and the neighborhood of a second invariant set which may in some cases also be an attractor. The synchronization mecha nism is also studied using a return map.