論文 - 宮崎　淳

Stopping and initiation of a chemical pulse at the interface of excitable media with different diffusivity

Jun Miyazaki, Shuichi Kinoshita (担当区分： 筆頭著者,　責任著者 )

PHYSICAL REVIEW E ( AMER PHYSICAL SOC )  76 ( 6 ) 066201-1-8   2007年12月  [査読有り]

　概要を見る

The dynamics of a chemical pulse at the interface of excitable media having different diffusion properties is presented experimentally using the Belousov-Zhabotinsky reaction system. When a chemical pulse propagates from a larger diffusion region to a smaller diffusion region, it stops and forms a steady excitation band at the interface. Furthermore, a pulse train stimulated by this band appears subsequently. A simple one-dimensional model with discontinuous diffusion is proposed, and a numerical simulation is performed that shows good agreement with the experiment. Unidirectional pulse propagation across the interface is strongly suggested on the basis of the proposed model.

DOI

Method for determining a coupling function in coupled oscillators with application to Belousov-Zhabotinsky oscillators

J. Miyazaki, S. Kinoshita (担当区分： 筆頭著者,　責任著者 )

PHYSICAL REVIEW E ( AMERICAN PHYSICAL SOC )  74 ( 5 ) 056209-1-10   2006年11月  [査読有り]

　概要を見る

A coupling function that describes the interaction between self-sustained oscillators in a phase equation is derived and applied experimentally to Belousov-Zhabotinsky (BZ) oscillators. It is demonstrated that the synchronous behavior of coupled BZ reactors is explained extremely well in terms of the coupling function thus obtained. This method does not require comprehensive knowledge of either the oscillation mechanism or the interaction among the oscillators, both of these being often difficult to elucidate in an actual system. These facts enable us to accurately analyze the weakly coupled entrainment phenomenon through the direct measurement of the coupling function.

DOI

Determination of a coupling function in multicoupled oscillators

Jun Miyazaki, Shuichi Kinoshita (担当区分： 筆頭著者,　責任著者 )

PHYSICAL REVIEW LETTERS ( AMERICAN PHYSICAL SOC )  96 ( 19 ) 194101-1-4   2006年05月  [査読有り]

　概要を見る

A new method to determine a coupling function in a phase model is theoretically derived for coupled self-sustained oscillators and applied to Belousov-Zhabotinsky (BZ) oscillators. The synchronous behavior of two coupled BZ reactors is explained extremely well in terms of the coupling function thus obtained. This method is expected to be applicable to weakly coupled multioscillator systems, in which mutual coupling among nearly identical oscillators occurs in a similar manner. The importance of higher-order harmonic terms involved in the coupling function is also discussed.

DOI

Coupled Belousov-Zhabotinsky reactors through unidirectional mass flow

J Miyazaki, S Kinoshita (担当区分： 筆頭著者,　責任著者 )

PROGRESS OF THEORETICAL PHYSICS SUPPLEMENT ( PROGRESS THEORETICAL PHYSICS PUBLICATION OFFICE )  161 ( 161 ) 265 - 269   2006年  [査読有り]

　概要を見る

Unidirectionally coupled reactors in Belousov-Zhabotinsky reaction is studied experimentally under the bistable state between oscillation and resting. Irregular transitions between the two states are observed (intermittent oscillation). Phase analysis reveals that the transitions occur in a timely manner, which will be discussed on the analogy of stochastic resonance using a two-dimensional potential surface.

Synchronized and intermittent oscillations observed in a sub Belousov-Zhabotinsky reactor under continuous mass flow from a main reactor

J Miyazaki, S Yoshioka, S Kinoshita (担当区分： 筆頭著者,　責任著者 )

CHEMICAL PHYSICS LETTERS ( ELSEVIER SCIENCE BV )  387 ( 4-6 ) 471 - 475   2004年04月  [査読有り]

　概要を見る

We have constructed a small ferroin-catalyzed Belousov-Zhabotinsky reactor connected with a main reactor through continuous mass flow. When each reactor is in an independent oscillating state. the activation energy of the oscillation frequency differs considerably from each other, which enables us to investigate the oscillating state of the former under precise control of the latter through coupling strength and frequency difference. With increasing flow rate. both synchronized and intermittent oscillations appear according to the sign of the frequency difference. A precursor exists near the synchronization, while the transition from resting to oscillating state takes place in a timely manner for the intermittent oscillation. (C) 2004 Published by Elsevier B.V.

DOI