%% @article{fds53286, Author = {Bradley Marts and Ehud Meron and Aric Hagberg and Anna L. Lin}, Title = {Resonant and Non-Resonant Patterns in Forced Oscillators}, Journal = {Chaos}, Volume = {16}, Number = {3}, Year = {2006}, Month = {September}, Key = {fds53286} } @article{fds53287, Author = {Anne J. Catllá and David G. Schaeffer and Thomas P. Witelski and Eric E. Monson and Anna L. Lin}, Title = {On Spiking Models for Synaptic Activity and Impulsive Differential Equations}, Journal = {SIAM Review}, Year = {2006}, Key = {fds53287} } @article{fds43731, Author = {April C. Horton and Bence Rácz and Eric E. Monson and Anna L. Lin and Richard J. Weinberg and Michael D. Ehlers}, Title = {Polarized Secretory Trafficking Directs Cargo for Asymmetric Dendrite Growth and Morphogenesis}, Journal = {Neuron}, Volume = {48}, Pages = {757-771}, Year = {2005}, Month = {December}, Key = {fds43731} } @article{fds43734, Author = {Aric Hagberg and Bradley Marts and Anna L. Lin and Ehud Meron}, Title = {Bloch-Front Turbulence: Theory and Experiments}, Journal = {Physica A}, Volume = {365}, Pages = {88-94}, Year = {2005}, Key = {fds43734} } @article{fds43736, Author = {Linda B. Smolka and Bradley Marts and Anna L. Lin}, Title = {Effect of Inhomogeneities on Spiral Wave Dynamics in the Belousov-Zhabotinsky Reaction}, Journal = {Phys. Rev. E}, Volume = {72}, Number = {056205}, Year = {2005}, Key = {fds43736} } @article{fds29105, Author = {Bradley Marts and Aric Hagberg and Ehud Meron and A.L. Lin}, Title = {Bloch-Front Turbulence in a Periodically Forced Belousov-Zhabotinsky Reaction}, Journal = {Physical Review Letters}, Volume = {93}, Pages = {108305}, Year = {2004}, Key = {fds29105} } @article{fds29106, Author = {Bradley Marts and Karl Martinez and A.L. Lin}, Title = {Front Dynamics in an Oscillatory Bistable Belousov-Zhabotinsky Chemical Reaction}, Journal = {Physical Review E}, Volume = {70}, Pages = {056223}, Year = {2004}, Key = {fds29106} } @article{fds15919, Author = {A.L. Lin and B. A. Mann and Gelsy Torres-Ovido and Bryan, Lincoln and Josef A. Kas and H. L. Swinney}, Title = {Localization and extinction of bacterial populations under inhomogeneous growth conditions}, Journal = {Biophysical Journal}, Volume = {87}, Pages = {75-80}, Year = {2004}, Key = {fds15919} } @article{fds15926, Author = {A.L. Lin and Aric Hagberg and Ehud Meron and H. L. Swinney}, Title = {Resonance tongues and patterns in periodically forced reaction-diffusion systems}, Journal = {PRE}, Volume = {69}, Pages = {066217}, Year = {2004}, Key = {fds15926} } @article{fds3927, Author = {Arik Yochelis and Aric Hagberg and Ehud Meron and Anna L. Lin and Harry L. Swinney}, Title = {Development of Standing-Wave Labyrinthine Patterns}, Journal = {SIAM Journal on Applied Dynamical Systems}, Volume = {1}, Number = {2}, Pages = {236-247}, Publisher = {Society of Industrial and Applied Mathematics}, Year = {2002}, Month = {December}, url = {http://epubs.siam.org/sam-bin/dbq/article/39711}, Abstract = {Abstract. Experiments on a quasi-two-dimensional Belousov--Zhabotinsky (BZ) reaction-diffusion system, periodically forced at approximately twice its natural frequency, exhibit resonant labyrinthine patterns that develop through two distinct mechanisms. In both cases, large amplitude labyrinthine patterns form that consist of interpenetrating fingers of frequency-locked regions differing in phase by $\pi$. Analysis of a forced complex Ginzburg--Landau equation captures both mechanisms observed for the formation of the labyrinths in the BZ experiments: a transverse instability of front structures and a nucleation of stripes from unlocked oscillations. The labyrinths are found in the experiments and in the model at a similar location in the forcing amplitude and frequency parameter plane.}, Key = {fds3927} } @article{fds3928, Author = {K. Martinez and A.L. Lin and R. Kharrazian and X. Sailer and H. L. Swinney}, Title = {Resonance in periodically inhibited reaction-diffusion systems}, Journal = {Physica D}, Volume = {168-169}, Pages = {1-9}, Publisher = {Elsevier Science}, Year = {2002}, Month = {Fall}, Abstract = {We have conducted experiments on a periodically inhibited oscillatory Belousov-Zhabotinksy (BZ) reaction-diffusion system in a regime in which the patterns oscillate at half the frequency of the forcing (the 2:1 resonance regime). The periodic perturbations of the photosensitive (ruthenium-catalyzed) reaction are made with light, which inhibits the oscillatory behavior. Increasing the light intensity increases the refractory period (time for recovery from inhibition), which decreases the oscillation frequency of the patterns in the medium. We investigate the behavior for two different levels of inhibitor concentration in the reagent feed to determine the shape of the 2:1 resonant regime as a function of the forcing intensity and forcing frequency. At high forcing intensity the inhibition leads to a transition from traveling waves (spirals) to standing waves. Simulations of a reaction-diffusion model with FitzHugh-Nagumo kinetics yield behavior similar to that observed in the experiments.}, Key = {fds3928} } @article{fds4550, Author = {A. L. Lin and M. Bertram and H. L. Swinney and A. Ardelea and A. Hagberg, E. Meron}, Title = {``Four-phase patterns in forced oscillatory systems: theory vs. experiment''}, Journal = {Phys. Rev. E}, Volume = {62}, Pages = {3790}, Year = {2000}, Key = {fds4550} } @article{fds4551, Author = {A. L. Lin and M. Bertram and K. Martinez and A. Ardelea and G. F. Carey and H. L. Swinney}, Title = {``Resonant phase patterns in a reaction-diffusion system''}, Journal = {Phys. Rev. Lett.}, Volume = {84}, Pages = {4240}, Year = {2000}, Key = {fds4551} } @article{fds4552, Author = {A. L. Lin and V. Petrov and H. L. Swinney and A. Ardelea and G. F. Carey}, Title = {Resonant pattern formation in a spatially extended chemical system}, Booktitle = {Pattern formation in continuous and coupled systems}, Editor = {M. Golubitzky and D. Luss and S. H. Strogatz and eds., Springer}, Year = {1999}, Key = {fds4552} }