Coherent structure analysis of spatiotemporal chaos | Zendy

Peter Jung | Zendy; Jichang Wang | Zendy; Renate Wackerbauer | Zendy; Kenneth Showalter | Zendy

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Coherent structure analysis of spatiotemporal chaos

Author(s) -

Peter Jung,

Jichang Wang,

Renate Wackerbauer,

Kenneth Showalter

Publication year - 2000

Publication title -

physical review. e, statistical physics, plasmas, fluids, and related interdisciplinary topics

Language(s) - English

Resource type - Journals

eISSN - 1095-3787

pISSN - 1063-651X

DOI - 10.1103/physreve.61.2095

Subject(s) - statistical physics , lagrangian coherent structures , measure (data warehouse) , turbulence , physics , scaling , entropy (arrow of time) , computer science , mathematics , quantum mechanics , data mining , mechanics , geometry

We introduce a measure to quantify spatiotemporal turbulence in extended systems. It is based on the statistical analysis of a coherent structure decomposition of the evolving system. Applied to a cellular excitable medium and a reaction-diffusion model describing the oxidation of CO on Pt(100), it reveals power-law scaling of the size distribution of coherent space-time structures for the state of spiral turbulence. The coherent structure decomposition is also used to define an entropy measure, which sharply increases in these systems at the transition to turbulence.

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