SYNCHRONIZATION OF THE KURAMOTO MODEL ON A REGULAR NETWORK

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KOUHI ESFAHANI R.; SHAHBAZI F.; AGHABABAEI SAMANI K.

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Journal: Iranian Journal of Physics Research Year:2011 | Volume:11 | Issue:3 Page(s): 305-313

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Information Journal Paper

Title

SYNCHRONIZATION OF THE KURAMOTO MODEL ON A REGULAR NETWORK

Author(s)

KOUHI ESFAHANI R. | SHAHBAZI F. | AGHABABAEI SAMANI K. | Issue Writer Certificate

Keywords

SYNCHRONIZATIONQ2

KURAMOTO MODELQ2

ORDER PARAMETERQ2

REGULAR NETWORKQ2

STABILITY MATRIXQ2

Abstract

Stable solutions of the KURAMOTO MODEL on a REGULAR NETWORK are investigated. It is shown that there are two stable states: a completely synchronized state with an ORDER PARAMETER equal to one and a completely incoherent state with an ORDER PARAMETER equal to zero. Also, the situation that could lead to the ORDER PARAMETER just equal to one is found out. Furthermore, it is shown that the phase difference of neighboring oscillators must be less than p/2 for a getting a stable state.It is also proved that by having the degree of each node more than half of the total number of nodes, we could only have the ORDER PARAMETER equal to one in (-p, p] for each initial phase condition.

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APA: Copy

KOUHI ESFAHANI, R., SHAHBAZI, F., & AGHABABAEI SAMANI, K.. (2011). SYNCHRONIZATION OF THE KURAMOTO MODEL ON A REGULAR NETWORK. IRANIAN JOURNAL OF PHYSICS RESEARCH, 11(3), 305-313. SID. https://sid.ir/paper/1573/en

Vancouver: Copy

KOUHI ESFAHANI R., SHAHBAZI F., AGHABABAEI SAMANI K.. SYNCHRONIZATION OF THE KURAMOTO MODEL ON A REGULAR NETWORK. IRANIAN JOURNAL OF PHYSICS RESEARCH[Internet]. 2011;11(3):305-313. Available from: https://sid.ir/paper/1573/en

IEEE: Copy

R. KOUHI ESFAHANI, F. SHAHBAZI, and K. AGHABABAEI SAMANI, “SYNCHRONIZATION OF THE KURAMOTO MODEL ON A REGULAR NETWORK,” IRANIAN JOURNAL OF PHYSICS RESEARCH, vol. 11, no. 3, pp. 305–313, 2011, [Online]. Available: https://sid.ir/paper/1573/en

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