Quasipatterns in a Model for Chemical Oscillations Forced at Multiple Resonance Frequencies Export

@article{citeulike:2105282, abstract = {Multifrequency forcing of systems undergoing a Hopf bifurcation to spatially homogeneous oscillations is investigated. For weak forcing composed of frequencies near the 1:1, 1:2, and 1:3 resonances, such systems can be described systematically by a suitably extended complex Ginzburg-Landau equation. Weakly nonlinear analysis shows that, generically, the forcing function can be tuned such that resonant triad interactions with weakly damped modes stabilize subharmonic 4- and 5-mode quasipatterns. In simulations starting from random initial conditions, domains of these quasipatterns compete and yield complex, slowly ordering patterns.}, author = {Conway, Jessica M. and Riecke, Hermann}, citeulike-article-id = {2105282}, citeulike-linkout-0 = {http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=PRLTAO000099000021218301000001&idtype=cvips&gifs=yes}, citeulike-linkout-1 = {http://link.aps.org/abstract/PRL/v99/e218301}, citeulike-linkout-2 = {http://dx.doi.org/10.1103/PhysRevLett.99.218301}, doi = {10.1103/PhysRevLett.99.218301}, journal = {Physical Review Letters}, keywords = {chemical, hopf, oscillations}, number = {21}, posted-at = {2007-12-13 16:25:45}, priority = {2}, publisher = {APS}, title = {Quasipatterns in a Model for Chemical Oscillations Forced at Multiple Resonance Frequencies}, url = {http://dx.doi.org/10.1103/PhysRevLett.99.218301}, volume = {99}, year = {2007} }

TY - JOUR ID - citeulike:2105282 L3 - citeulike-article-id:2105282 N2 - Multifrequency forcing of systems undergoing a Hopf bifurcation to spatially homogeneous oscillations is investigated. For weak forcing composed of frequencies near the 1:1, 1:2, and 1:3 resonances, such systems can be described systematically by a suitably extended complex Ginzburg-Landau equation. Weakly nonlinear analysis shows that, generically, the forcing function can be tuned such that resonant triad interactions with weakly damped modes stabilize subharmonic 4- and 5-mode quasipatterns. In simulations starting from random initial conditions, domains of these quasipatterns compete and yield complex, slowly ordering patterns. IS - 21 JF - Physical Review Letters TI - Quasipatterns in a Model for Chemical Oscillations Forced at Multiple Resonance Frequencies PB - APS VL - 99 KW - chemical KW - hopf KW - oscillations AU - Conway, Jessica AU - Riecke, Hermann PY - 2007/// UR - http://dx.doi.org/10.1103/PhysRevLett.99.218301 ER -