Characteristics of Cluster Formation in a Population of Globally Coupled Electrochemical Oscillators: An Experiment-Based Phase Model Approach | Zendy

István Z. Kiss | Zendy; Yumei Zhai | Zendy; John L. Hudson | Zendy

Open Access

Characteristics of Cluster Formation in a Population of Globally Coupled Electrochemical Oscillators: An Experiment-Based Phase Model Approach

Author(s) -

István Z. Kiss,

Yumei Zhai,

John L. Hudson

Publication year - 2006

Publication title -

progress of theoretical physics supplement

Language(s) - English

Resource type - Journals

ISSN - 0375-9687

DOI - 10.1143/ptps.161.99

Subject(s) - cluster (spacecraft) , phase (matter) , statistical physics , population , biological system , chemical physics , topology (electrical circuits) , physics , computer science , mathematics , quantum mechanics , combinatorics , demography , sociology , biology , programming language

We show that cluster formation in interacting oscillators can be characterized using phase models that are developed from direct experiments with a single oscillator. One- and two-cluster states are analyzed in the phase model; the description is verified in independent experiments in sets of chemical oscillators. The experiment-based model properly describes the occurrence of one- and two-clusters; in addition, it is shown that the most stable two-cluster state exists with a balanced configuration.

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