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arXiv · 1103.0082

A Dynamic-Order Fractional Dynamic System

HongGuang Sun·Hu Sheng·YangQuan Chen·Wen Chen·ZhongBo Yu
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Abstract

Multi-system interaction is an important and difficult problem in physics. Motivated by the experimental result of an electronic circuit element "Fractor", we introduce the concept of dynamic-order fractional dynamic system, in which the differential-order of a fractional dynamic system is determined by the output signal of another dynamic system. The new concept offers a comprehensive explanation of physical mechanism of multi-system interaction. The properties and potential applications of dynamic-order fractional dynamic systems are further explored with the analysis of anomalous relaxation and diffusion processes.

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HongGuang Sun, Hu Sheng, YangQuan Chen, Wen Chen, ZhongBo Yu. 2013-04-09. A Dynamic-Order Fractional Dynamic System. https://doi.org/10.1088/0256-307x%2F30%2F4%2F046601

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