Geodesic
Self-oscillatory processes in a~discrete $RCL$-line with a~tunnel diode
Teoretičeskaâ i matematičeskaâ fizika, Tome 215 (2023) no. 2, pp. 207-224

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We consider a chain of in-series $RCL$ circuits; a constant-voltage source $E$ is connected to one of its ends, and a tunnel diode and a constant capacitor $C_0$ to another one. We show that a nonlinear system of ordinary differential equations in which the known buffer capacity phenomenon is realized serves as a mathematical model of the given generator. Namely, using the combination of analytic and numerical methods, we establish an unlimited growth of the number of coexisting attractors of this system as the number of $RCL$ circuits increases and the other parameters change appropriately. We also perform a comparative analysis of the local dynamics in the discrete and continuous $RCL$ circuits.
Keywords: discrete $RCL$ line, periodic solutions, asymptotics, stability, buffer capacity.
Mots-clés : tunnel diode 
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     author = {S. D. Glyzin and A. Yu. Kolesov},
     title = {Self-oscillatory processes in a~discrete $RCL$-line with a~tunnel diode},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {207--224},
     publisher = {mathdoc},
     volume = {215},
     number = {2},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2023_215_2_a3/}
}
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S. D. Glyzin; A. Yu. Kolesov. Self-oscillatory processes in a~discrete $RCL$-line with a~tunnel diode. Teoretičeskaâ i matematičeskaâ fizika, Tome 215 (2023) no. 2, pp. 207-224. http://geodesic.mathdoc.fr/item/TMF_2023_215_2_a3/