Chaos in Inter-State-Controlled RLC Networks

In this work, we study the classical RLC resonance network (which is a two-state network) when one or more of its re-active elements is controlled by the state variable of the other. In particular, we consider the case when the capacitor is current-controlled by the inductor current and the case whe...

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Bibliographic Details
Published inIEEE transactions on circuits and systems. II, Express briefs Vol. 71; no. 1; p. 1
Main Authors Elwakil, Ahmed S., Allagui, Anis, El-Mesady, Ahmed, Elsonbaty, Amr, Majzoub, Sohaib, Maundy, Brent J.
Format Journal Article
LanguageEnglish
Published New York IEEE 01.01.2024
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Active control
Analog circuits
Behavioral sciences
Capacitors
Digital electronics
Electric potential
Inductors
Mathematical models
Resistors
Resonance
RLC circuits
Voltage
Voltage control
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Summary:In this work, we study the classical RLC resonance network (which is a two-state network) when one or more of its re-active elements is controlled by the state variable of the other. In particular, we consider the case when the capacitor is current-controlled by the inductor current and the case when the inductor is voltage-controlled by the capacitor voltage as well as the case of simultaneous mutual control. These cases are termed inter-state-controlled resonance networks due to the embedded self feedback and are found to produce chaotic signals. Circuit simulations of an analog realization and experimental results from a digital circuit are provided to verify the theory.
ISSN:1549-7747
1558-3791
DOI:10.1109/TCSII.2023.3296528