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Image_2_Chimera States With 2D Deterministic and Random Fractal Connectivity.PNG
| العنوان: | Image_2_Chimera States With 2D Deterministic and Random Fractal Connectivity.PNG |
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| المؤلفون: | George Argyropoulos, Astero Provata |
| سنة النشر: | 2019 |
| المجموعة: | Frontiers: Figshare |
| مصطلحات موضوعية: | Statistics, Computation Theory and Mathematics, Ordinary Differential Equations, Difference Equations and Dynamical Systems, Financial Mathematics, Applied Mathematics not elsewhere classified, Optimisation, Numerical and Computational Mathematics not elsewhere classified, Applied Statistics, Mathematical Physics not elsewhere classified, Numerical Computation, Computation Theory and Mathematics not elsewhere classified, local synchronization, chimera states, leaky integrate-and-fire model, hierarchical connectivity, deterministic fractals, random fractals |
| الوصف: | We study the formation of chimera states in 2D lattices with hierarchical (fractal) connectivity. The dynamics of the nodes follow the Leaky Integrate-and-Fire model and the connectivity has the form of a deterministic or a random Sierpinski carpet. We provide numerical evidence that for deterministic fractal connectivity and small values of the coupling strength, a hierarchical incoherent spot is produced with internal structure influenced by the fractal connectivity scheme. The spot size is similar to the size of the coupling matrix. Stable spots can be formed for symmetric fractal connectivity, while traveling ones are found when the connectivity matrix is asymmetric with respect to the center. For fractal coupling schemes spiral wave chimeras are produced and curious stable patterns are reported, which present triple coexistence of coherent regions, incoherent domains and traveling waves. In all cases, the coherent domains demonstrate the lowest mean phase velocities ω, the incoherent domains show intermediate ω-velocities, while the traveling waves show the highest ω-values. These findings confirm previous studies on symmetric deterministic hierarchical connectivities and extend here to slanted and random fractals. |
| نوع الوثيقة: | still image |
| اللغة: | unknown |
| Relation: | https://figshare.com/articles/figure/Image_2_Chimera_States_With_2D_Deterministic_and_Random_Fractal_Connectivity_PNG/9162554 |
| DOI: | 10.3389/fams.2019.00035.s002 |
| الاتاحة: | https://doi.org/10.3389/fams.2019.00035.s002 https://figshare.com/articles/figure/Image_2_Chimera_States_With_2D_Deterministic_and_Random_Fractal_Connectivity_PNG/9162554 |
| Rights: | CC BY 4.0 |
| رقم الانضمام: | edsbas.AD7AED9D |
| قاعدة البيانات: | BASE |
| DOI: | 10.3389/fams.2019.00035.s002 |
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