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Oscillators Based on Fractional-Order Memory Elements

delete2022-05-24
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Ivo Petráš *
DOI:10.3390/fractalfract6060283delete
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Abstract

Abstract

En 中文
This paper deals with the new oscillator structures that contain new elements, so-called memory elements, known as memristor, meminductor, and memcapacitor. Such circuits can exhibit oscillations as well as chaotic behavior. New mathematical models of fractional-order elements and whole oscillator circuits are proposed as well. An illustrative example to demonstrate the oscillations and the chaotic behavior through the numerical solution of the fractional-order circuit model is provided.
Keywords:
fractional calculus
memory
memristor
memcapacitor
meminductor
oscillators
chaos

Journal

Fractal and Fractional cover
Fractal and Fractional
IF:
3.3
Papers:
4.4K
Citations:
7.6K

Organization

T
technical university kosice
Scholars:
2.7K
Papers: 1.8K
Citations: 6
Cited Papers

Cited Papers

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A novel simple chaotic circuit based on memristor-memcapacitor
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errMa, Xujiong; Mou, Jun; Liu, Jian; Ma, Chenguang; Yang, Feifei; Zhao, Xiu
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Circuit Elements With Memory: Memristors, Memcapacitors, and Meminductors
err2009-10-01
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errOAAI
errDi Ventra, Massimiliano; Pershin, Yuriy V.; Chua, Leon O.
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