scholarly journals Matlab Solutions of Chaotic Fractional Order Circuits

10.5772/23144 ◽  
2011 ◽  
Author(s):  
Trzaska Zdzislaw
Keyword(s):  
Fractional Order ◽  
Fractional Order Circuits

Realization of fractional order circuits by a Constant Phase Element

2020 ◽  
Vol 54 ◽  
pp. 64-72 ◽  
Author(s):  
A. Buscarino ◽  
R. Caponetto ◽  
S. Graziani ◽  
E. Murgano
Keyword(s):  
Fractional Order ◽  
Constant Phase Element ◽  
Fractional Order Circuits

Jump Resonance in Fractional Order Circuits

2018 ◽  
Vol 28 (01) ◽  
pp. 1850016 ◽  
Author(s):  
Arturo Buscarino ◽  
Riccardo Caponetto ◽  
Carlo Famoso ◽  
Luigi Fortuna
Keyword(s):  
Frequency Response ◽  
Fractional Order ◽  
Analog Circuit ◽  
Fractional Order Systems ◽  
Resonance Behavior ◽  
Abrupt Jump ◽  
Nonlinear Control Theory ◽  
The Difference ◽  
Fractional Order Circuits ◽  
Driving Signal

The occurrence of an hysteretic loop in the frequency response of a driven nonlinear system is a phenomenon deeply investigated in nonlinear control theory. Such a phenomenon, which is linked to the multistable behavior of the system, is called jump resonance, since the magnitude of the frequency response is subjected to an abrupt jump up/down with respect to the increasing/decreasing of the frequency of the driving signal. In this paper, we aim at investigating fractional order nonlinear systems showing jump resonance, that is systems in which the order of the derivative is noninteger and their frequency response has a magnitude that is a multivalued function in a given range of frequencies. Furthermore, a strategy for designing fractional order systems showing jump resonance is presented along with the procedure to design and implement an analog circuit based on the approximation of the fractional order derivative. An extensive numerical analysis allows one to assess that the phenomenon is robust to the difference in the derivative order, enlightening the first example of a system with order lower than two which is able to demonstrate a jump resonance behavior.

Jump resonance in fractional order circuits

2018 ◽  
Author(s):  
Arturo Buscarino ◽  
Riccardo Caponetto ◽  
Carlo Famoso ◽  
Luigi Fortuna
Keyword(s):  
Fractional Order ◽  
Fractional Order Circuits
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