Irregular behaviors of two chemical oscillators with a diffusion coupling

Miyakawa, Kenji; Okabe, Tadao; Sakamoto, Fumitaka

doi:10.1103/physreve.55.2005

Cited by 7 publications

(4 citation statements)

References 24 publications

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“…Experiments in which micro-oscillators are coupled have been conducted with the aid of cation-exchange beads loaded with a catalyst for the BZ reaction. 27,28 In these experiments, both activator and inhibitor were able to diffuse between beads. Coupling experiments with macroscopic BZ reactors, with all species coupled and nearly identical feed concentrations, yielded in-phase and out-of-phase oscillations as well as inhomogeneous ͑Turing͒ steady states and ranges of bistability among these dynamical states.…”

Section: Discussionmentioning

confidence: 91%

Diffusive instabilities in heterogeneous systems

Vanag

Epstein

2003

The Journal of Chemical Physics

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We investigate the behavior of a system composed of two small identical water droplets loaded with an activator-inhibitor system possessing only a single stable steady state and coupled through a third, ''signaling'' species able to diffuse through the interdroplet medium. Depending on whether the third species is coupled to the activator or the inhibitor, the system can exhibit wave instability, which is equivalent to out-of-phase oscillations, or Turing instability, which is equivalent to the birth of two new stationary steady states. For a large interdroplet gap, equivalent to a large time delay, droplets can undergo synchronous, in-phase oscillations. Our analysis can be extended to a system of many coupled in-line droplets, as we illustrate.

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Section: Discussionmentioning

confidence: 91%

Diffusive instabilities in heterogeneous systems

Vanag

Epstein

2003

The Journal of Chemical Physics

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“…The irregular oscillation in such a boundary region has also been observed in the coupled chemical oscillator system. 20 The responses of the oscillator to the sinusoidal stimula- tion are summarized in the phase diagram shown in Fig. 6.…”

Section: Resultsmentioning

confidence: 99%

“…19,20 The former corresponds to a forced entrainment, where the electric field changes the concentration of Br Ϫ ions around beads by an electrostatic effect and consequently controls the redox reaction on beads. On the other hand, entrainment in the coupled oscillator system corresponds to a mutual one, where entrainment occurs through the diffusion of the activator HBrO 2 .…”

Section: Discussionmentioning

confidence: 99%

“…Very recently, we have utilized such beads as chemical oscillators and investigated properties of coupling between two oscillators. 19,20 In respect of both coupling behaviors and the spatial size of the oscillator, this oscillator seems to have the potential of serving as a model for biological oscillators. There is now a great interest in subjecting this type of oscillator to external electric fields.…”

Section: Introductionmentioning

confidence: 99%

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