Design and Control of RC VCCS 3-D Hysteresis Chaos Generators
نویسندگان
چکیده
This paper proposes a simple design procedure of chaos generators consisting of two capacitors, some resistors, one linear voltagecontrolled current source (VCCS), and one piecewise-linear hysteresis VCCS. The design procedure is based on nodal analysis and can guarantee the chaos generation. The resulting circuits have suitable shapes to implement on-chip and an operational transconductance amplifier (OTA) implementation example is proposed to verify the chaos generation. Also, we apply a simple control method to stabilize a desired unstable periodic orbit (UPO) embedded in chaos.
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1 NAKAGAWA, s., and SAITO,T.: ‘An RC OTA hysteresis chaos generator’, IEEE Trans. Circuits Syst. I, 1996, CAS-43, (12), pp. 10 19-1 02 1 2 STORACE, M., PARODI, M., and ROBATTO, D.: ‘A hysteresis-based chaotic circuit: dynamics and applications’, Int. J. Circuit Theory Appl., 1999, 27, (6), pp. 527-542 ELWAKIL, A s . , and KENNEDY, M.P.: ‘Systematic realization of a class of hysteresis chaotic o...
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