TY - JOUR
T1 - Bifurcation phenomena in coupled chemical oscillators
T2 - Normal form analysis and numerical simulations
AU - Wang, X. J.
AU - Nicolis, G.
N1 - Funding Information:
The authors thank P. Gaspard for interesting discussions. This work has been supported, in part, by the U.S. Department of Energy under contract number DE-AS05-81ER10947.
PY - 1987
Y1 - 1987
N2 - A class of diffusively coupled chemical oscillators is mapped into a problem of two interacting Hopf bifurcations. The normal form analysis predicts a cascade of steady state → limit cycle → 2-torus → 3-torus bifurcations, as well as the coexistence of two stable limit cycles. Numerical simulations of the original system confirm these predictions, and in particular, show that this system provides an example of bifurcation leading to a stable quasiperiodic regime with three incommensurate frequencies.
AB - A class of diffusively coupled chemical oscillators is mapped into a problem of two interacting Hopf bifurcations. The normal form analysis predicts a cascade of steady state → limit cycle → 2-torus → 3-torus bifurcations, as well as the coexistence of two stable limit cycles. Numerical simulations of the original system confirm these predictions, and in particular, show that this system provides an example of bifurcation leading to a stable quasiperiodic regime with three incommensurate frequencies.
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U2 - 10.1016/0167-2789(87)90218-1
DO - 10.1016/0167-2789(87)90218-1
M3 - Article
AN - SCOPUS:0004871952
SN - 0167-2789
VL - 26
SP - 140
EP - 155
JO - Physica D: Nonlinear Phenomena
JF - Physica D: Nonlinear Phenomena
IS - 1-3
ER -