2007
DOI: 10.1103/physrevlett.98.074101
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Wave Mediated Synchronization of Nonuniform Oscillatory Media

Abstract: We characterize the spatiotemporal evolution of a photosensitive Belousov-Zhabotinsky medium that is made up of coupled oscillatory cells with randomly distributed frequencies. The medium evolves from an initial state of multiple wave sources to a synchronized state governed by a single wave source. The synchronization occurs via a competition between the sources, which arises when the oscillators are not identical but have slightly different natural frequencies. The evolution of each cell is monitored to demo… Show more

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Cited by 50 publications
(47 citation statements)
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“…Finally, we note that such chemically initiated communication is not restricted to just BZ gels, and is observed in other heterogeneous BZ systems. [72][73][74][75][76][77] The experiments performed by Yoshida et al 68 provided the first evidence that the dynamic behavior of a system of many self-oscillating BZ gels could be engineered by tailoring the shape and spatial arrangement of the constituent pieces. The fabrication technique developed in the latter study opened a new route to creating novel biomimetic chemomechanical devices based on the self-oscillating gels.…”
Section: Passage Of Chemo-mechanical Waves Through Adjacent Samplesmentioning
confidence: 99%
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“…Finally, we note that such chemically initiated communication is not restricted to just BZ gels, and is observed in other heterogeneous BZ systems. [72][73][74][75][76][77] The experiments performed by Yoshida et al 68 provided the first evidence that the dynamic behavior of a system of many self-oscillating BZ gels could be engineered by tailoring the shape and spatial arrangement of the constituent pieces. The fabrication technique developed in the latter study opened a new route to creating novel biomimetic chemomechanical devices based on the self-oscillating gels.…”
Section: Passage Of Chemo-mechanical Waves Through Adjacent Samplesmentioning
confidence: 99%
“…Furthermore, in a system containing multiple oscillators, the region with the highest frequency determines the ultimate direction of wave propagation. 90,91 In our BZ cilium, each element acts as an oscillator, and the intrinsic frequency of this oscillator depends on the boundary values of u in the outer fluid and neighboring elements. (The intrinsic frequency 66 of a small region of the gel refers to the frequency of the oscillations that an isolated gel of the same size would exhibit if it were placed in a fluid with the same value of u.)…”
Section: Response Of a Single Cilium To Variations In Umentioning
confidence: 99%
“…Because the concentration of u is higher for the "inner" surfaces of the cubes than the outer surfaces, the inner surfaces have a higher intrinsic frequency. * It is known that in a system containing multiple oscillators, the region with the highest frequency determines the ultimate direction of wave propagation (24,25). In our BZ cubes, each element effectively acts as an oscillator; hence, the propagation of the chemical wave through each sample originates from the region with the highest oscillation frequency (23).…”
mentioning
confidence: 99%
“…3a, e, it can be seen that the 'inner' surfaces of the gel cubes (those facing the center of the simulation box) are exposed to the highest concentration of u and hence, have the highest intrinsic frequency [36]. In systems of coupled oscillators, the one with the highest intrinsic frequency initiates the chemical waves traveling throughout the system [38,39]. Hence for the system in Fig.…”
Section: Self-propelled Motion Of Oscillating Gelsmentioning
confidence: 94%