The influence of long-range links on spiral waves and their application for control |
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Authors: | Qian Yu |
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Institution: | Nonlinear Research Institute, Baoji University of Arts and Sciences, Baoji 721007, China |
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Abstract: | The influence of long-range links on spiral waves in an excitable medium has been investigated.Spatiotemporal dynamics in an excitable small-world network transform remarkably when we increase the long-range connection probability P.Spiral waves with few perturbations,broken spiral waves,pseudo spiral turbulence,synchronous oscillations,and homogeneous rest state are discovered under different network structures.Tip number is selected to detect non-equilibrium phase transition between different spatiotemporal patterns.The Kuramoto order parameter is used to identify these patterns and explain the emergence of the rest state.Finally,we use long-range links to successfully control spiral waves and spiral turbulence. |
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Keywords: | spiral waves long-range link spiral and turbulence control |
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