| CONDENSED MATTER: STRUCTURE, MECHANICAL AND THERMAL PROPERTIES |
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A Dynamic-Order Fractional Dynamic System |
| SUN Hong-Guang1, SHENG Hu2, CHEN Yang-Quan3, CHEN Wen1**, YU Zhong-Bo4 |
1State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, College of Mechanics and Materials, Hohai University, Nanjing 210098
2School of Electronic and Information Engineering, Dalian Jiaotong University, Dalian 116028
3Mechatronics, Embedded Systems and Automation (MESA) Lab, School of Engineering, University of California, Merced, 5200 North Lake Road, Merced, CA 95343, USA
4State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Hohai University, Nanjing 210098
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| Cite this article: |
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SUN Hong-Guang, SHENG Hu, CHEN Yang-Quan et al 2013 Chin. Phys. Lett. 30 046601 |
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Abstract Motivated by the experimental result of an electronic circuit element "fractor", we introduce the concept of a 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 concept offers an explanation for the physical mechanism of variable-order fractional dynamic systems and multi-system interaction. The properties and potential applications of dynamic-order fractional dynamic systems are further explored by analyzing anomalous relaxation and diffusion processes.
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Received: 05 November 2012
Published: 28 April 2013
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| PACS: |
66.10.C-
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(Diffusion and thermal diffusion)
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05.10.Gg
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(Stochastic analysis methods)
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02.60.Cb
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(Numerical simulation; solution of equations)
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