TY - JOUR
T1 - Numerical and analytical study of nonlinear electronic circuits
AU - Bitton, G.
AU - Balberg, I.
AU - Gomez, M.
AU - Weisz, S. Z.
PY - 1997/5
Y1 - 1997/5
N2 - We have carried out a comprehensive study of the dynamics of nonlinear electronic circuits. As model circuits we have used the simple model proposed by Matsumato et al., and the more realistic model proposed by Brorson et al. In our study we have determined the bifurcation diagrams, the return maps, the Lyapunov exponents and the fractal dimensions which characterize the nonlinear behavior of these circuits. In order to get an insight into the physics of the circuits' operation we have computed the average charge, the average current and the average capacitance of the nonlinear circuits, and concluded that the most fundamental physical process that governs the behavior of these circuits is the mode locking of the circuit to the external drive source.
AB - We have carried out a comprehensive study of the dynamics of nonlinear electronic circuits. As model circuits we have used the simple model proposed by Matsumato et al., and the more realistic model proposed by Brorson et al. In our study we have determined the bifurcation diagrams, the return maps, the Lyapunov exponents and the fractal dimensions which characterize the nonlinear behavior of these circuits. In order to get an insight into the physics of the circuits' operation we have computed the average charge, the average current and the average capacitance of the nonlinear circuits, and concluded that the most fundamental physical process that governs the behavior of these circuits is the mode locking of the circuit to the external drive source.
UR - http://www.scopus.com/inward/record.url?scp=0345908533&partnerID=8YFLogxK
U2 - 10.1142/S0218127497000881
DO - 10.1142/S0218127497000881
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AN - SCOPUS:0345908533
SN - 0218-1274
VL - 7
SP - 1065
EP - 1074
JO - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
JF - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
IS - 5
ER -