In this paper, we show that novel autonomous chaotic oscillators based on one or two bipolar junction transistors and a limited number of passive components can be obtained via random search with suitable heuristics. Chaos is a pervasive occurrence in these circuits, particularly after manual adjustment of a variable resistor placed in series with the supply voltage source. Following this approach, 49 unique circuits generating chaotic signals when physically realized were designed, representing the largest collection of circuits of this kind to date. These circuits are atypical as they do not trivially map onto known topologies or variations thereof. They feature diverse spectra and predominantly anti-persistent monofractal dynamics. Notably, we recurrently found a circuit comprising one resistor, one transistor, two inductors, and one capacitor, which generates a range of attractors depending on the parameter values. We also found a circuit yielding an irregular quantized spike-train resembling some aspects of neural discharge and another one generating a double-scroll attractor, which represent the smallest known transistor-based embodiments of these behaviors. Through three representative examples, we additionally show that diffusive coupling of heterogeneous oscillators of this kind may give rise to complex entrainment, such as lag synchronization with directed information transfer and generalized synchronization. The replicability and reproducibility of the experimental findings are good.
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July 2017
Research Article|
July 21 2017
Atypical transistor-based chaotic oscillators: Design, realization, and diversity
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Ludovico Minati
;
Ludovico Minati
a)
1
Complex Systems Theory Department, Institute of Nuclear Physics Polish Academy of Sciences (IFJ-PAN)
, Kraków, Poland
2
Centre for Mind/Brain Science (CIMeC), University of Trento
, Trento, Italy
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Mattia Frasca;
Mattia Frasca
3
Department of Electrical Electronic and Computer Engineering (DIEEI), University of Catania
, Catania, Italy
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Paweł Oświȩcimka;
Paweł Oświȩcimka
1
Complex Systems Theory Department, Institute of Nuclear Physics Polish Academy of Sciences (IFJ-PAN)
, Kraków, Poland
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Luca Faes;
Luca Faes
4
Healthcare Research and Innovation Program, Foundation Bruno Kessler (FBK)
, Trento, Italy
5
BIOTech, Department of Industrial Engineering, University of Trento
, Trento, Italy
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Stanisław Drożdż
Stanisław Drożdż
1
Complex Systems Theory Department, Institute of Nuclear Physics Polish Academy of Sciences (IFJ-PAN)
, Kraków, Poland
6
Faculty of Physics, Mathematics and Computer Science, Cracow University of Technology
, Kraków, Poland
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Ludovico Minati
1,2,a)
Mattia Frasca
3
Paweł Oświȩcimka
1
Luca Faes
4,5
Stanisław Drożdż
1,6
1
Complex Systems Theory Department, Institute of Nuclear Physics Polish Academy of Sciences (IFJ-PAN)
, Kraków, Poland
2
Centre for Mind/Brain Science (CIMeC), University of Trento
, Trento, Italy
3
Department of Electrical Electronic and Computer Engineering (DIEEI), University of Catania
, Catania, Italy
4
Healthcare Research and Innovation Program, Foundation Bruno Kessler (FBK)
, Trento, Italy
5
BIOTech, Department of Industrial Engineering, University of Trento
, Trento, Italy
6
Faculty of Physics, Mathematics and Computer Science, Cracow University of Technology
, Kraków, Poland
a)
Author to whom correspondence should be addressed: [email protected], [email protected], and [email protected]. Tel.: +39 335 486 670. URL: http://www.lminati.it.
Chaos 27, 073113 (2017)
Article history
Received:
May 17 2017
Accepted:
July 07 2017
Citation
Ludovico Minati, Mattia Frasca, Paweł Oświȩcimka, Luca Faes, Stanisław Drożdż; Atypical transistor-based chaotic oscillators: Design, realization, and diversity. Chaos 1 July 2017; 27 (7): 073113. https://doi.org/10.1063/1.4994815
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