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• W3041223532 abstract "Profiles of static solitons in one-dimensional scalar field theory satisfy the same equations as trajectories of a fictitious particle in multidimensional mechanics. We argue that the structure and properties of the solitons are essentially different if the respective mechanical motions are chaotic. This happens in multifield models and models with spatially dependent potential. We illustrate our findings using one-field sine-Gordon model in external Dirac comb potential. First, we show that the number of different chaotic solitons grows exponentially with their length, and the growth rate is related to the topological entropy of the mechanical system. Second, the field values of stable solitons form a fractal; we compute its box-counting dimension. Third, we demonstrate that the distribution of field values in the fractal is related to the metric entropy of the analogous mechanical system." @default.
• W3041223532 created "2020-07-16" @default.
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• W3041223532 date "2020-10-01" @default.
• W3041223532 modified "2023-09-27" @default.
• W3041223532 title "Chaotic solitons in driven sine-Gordon model" @default.
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• W3041223532 doi "https://doi.org/10.1016/j.chaos.2020.110079" @default.
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