This letter studies a simple nonautonomous chaotic circuit constructed by adding an impulsive switch to the RCL circuit. The switch operation depends on time and on state variable through a refractory threshold. The circuit exhibits various chaotic attractors, periodic attractors and related bifurcation phenomena. The dynamics can be analyzed using 1-D return map focusing on the time-dependent switching moments. Using a simple test circuit model typical phenomena are verified in PSPICE simulations.
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Yoshifumi KOBAYASHI, Hidehiro NAKANO, Toshimichi SAITO, "A Simple Nonautonomous Chaotic Spiking Circuit with a Refractory Threshold" in IEICE TRANSACTIONS on Fundamentals,
vol. E88-A, no. 9, pp. 2464-2467, September 2005, doi: 10.1093/ietfec/e88-a.9.2464.
Abstract: This letter studies a simple nonautonomous chaotic circuit constructed by adding an impulsive switch to the RCL circuit. The switch operation depends on time and on state variable through a refractory threshold. The circuit exhibits various chaotic attractors, periodic attractors and related bifurcation phenomena. The dynamics can be analyzed using 1-D return map focusing on the time-dependent switching moments. Using a simple test circuit model typical phenomena are verified in PSPICE simulations.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e88-a.9.2464/_p
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@ARTICLE{e88-a_9_2464,
author={Yoshifumi KOBAYASHI, Hidehiro NAKANO, Toshimichi SAITO, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A Simple Nonautonomous Chaotic Spiking Circuit with a Refractory Threshold},
year={2005},
volume={E88-A},
number={9},
pages={2464-2467},
abstract={This letter studies a simple nonautonomous chaotic circuit constructed by adding an impulsive switch to the RCL circuit. The switch operation depends on time and on state variable through a refractory threshold. The circuit exhibits various chaotic attractors, periodic attractors and related bifurcation phenomena. The dynamics can be analyzed using 1-D return map focusing on the time-dependent switching moments. Using a simple test circuit model typical phenomena are verified in PSPICE simulations.},
keywords={},
doi={10.1093/ietfec/e88-a.9.2464},
ISSN={},
month={September},}
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TY - JOUR
TI - A Simple Nonautonomous Chaotic Spiking Circuit with a Refractory Threshold
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2464
EP - 2467
AU - Yoshifumi KOBAYASHI
AU - Hidehiro NAKANO
AU - Toshimichi SAITO
PY - 2005
DO - 10.1093/ietfec/e88-a.9.2464
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E88-A
IS - 9
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - September 2005
AB - This letter studies a simple nonautonomous chaotic circuit constructed by adding an impulsive switch to the RCL circuit. The switch operation depends on time and on state variable through a refractory threshold. The circuit exhibits various chaotic attractors, periodic attractors and related bifurcation phenomena. The dynamics can be analyzed using 1-D return map focusing on the time-dependent switching moments. Using a simple test circuit model typical phenomena are verified in PSPICE simulations.
ER -