基于OTA的多涡卷混沌电路的设计
|
摘要
提出了一种用跨导运算放大器(Operational Transconductance Amplifier,OTA)实现多涡卷混沌电路的方法。根据运放实现的蔡氏二极管分段线性特性,用OTA代替运放后拟合出了相同的蔡氏二极管非线性特性,实现了基于OTA的蔡氏电路;在此基础上通过扩展转折点电压,设计出了基于OTA的多涡卷混沌电路。Pspice仿真验证了理论分析的正确性。文章提出的电路易于调节,理论上能实现任意涡卷混沌吸引子,电路适于高频应用。
A design method of multi-scroll chaotic circuit on Operational Transconductance Amplifier(OTA) is presented. According to nonlinear characteristic of Chua's diode, the same characteristic is achieved by replacing Operational Amplifier with OTA, and Chua's chaotic circuit based on OTA is realized; then by expanding turning point voltages, a new multi-scroll chaotic circuit based on OTA is designed. Finally, theoretical analysis is validated from Pspice simulation. The presented circuit is easy-controllable and can generate n-scroll chaotic attractors theoretically. It is suitable for high frequency applications.
A design method of multi-scroll chaotic circuit on Operational Transconductance Amplifier(OTA) is presented. According to nonlinear characteristic of Chua's diode, the same characteristic is achieved by replacing Operational Amplifier with OTA, and Chua's chaotic circuit based on OTA is realized; then by expanding turning point voltages, a new multi-scroll chaotic circuit based on OTA is designed. Finally, theoretical analysis is validated from Pspice simulation. The presented circuit is easy-controllable and can generate n-scroll chaotic attractors theoretically. It is suitable for high frequency applications.
引文
[1]张新国.非线性电路[M].北京:高等教育出版社,2011:46-51.
[2]邵书义,闵富红,吴薛红,等.基于现场可编程逻辑门阵列的新型混沌系统实现[J].物理学报,2014,63(6):73-81.
[3]李亚,禹思敏,戴青云,等.一种新的蔡氏电路设计与硬件实现[J].物理学报,2006,55(8):3938-3944.
[4]M E Yalcin,F A Savaci.New realization of Chua’s circuit and verification of chaos by harmonic analysis.Ari[J],1999,51(3):169-174.
[5]左婷,孙克辉,艾星星,等.基于同相第二代电流传输器的网格多涡卷混沌电路研究[J].物理学报,2014,63(08):21-29.
[6]洪庆辉,李志军,曾金芳,等.基于电流反馈运算放大器的忆阻混沌电路设计与仿真[J].物理学报,2014,63(18):94-101.
[7]Yuxia Li,Guanrong Chen.Controlling a Unified chaotic system to hyperchaoic[J].IEEE Transactions on Circuits and Systems-II:Express Briefs,2005,52(4):204-207.
[8]吴先明,何怡刚,于文新.基于电流反馈放大器的网格多涡卷混沌电路设计与实现[J].物理学报,2014,63(18):131-137.
[9]Yalcin M E,Suykens J,Vandewalle J.Experimental confirmation of 3-and 5-scroll attractors from a generalized Chua’s circuit[J].IEEE Trans Circuit Syst(part-I),2000,47(3):425-429.
[10]Dedieu H,Kennedy M P,Hasler M.Chaos shift keying:Modulation and demodulation of a chaotic carrier using self-synchronizing Chua’s circuits[J].IEEE Trans on CAS,1993,40(10):634-642.
[11]Yang T,Chua L O.Impulsive control and synchronization of nonlinear dynamical systems and applications to secure communication[J].Int.J.Bifurcation and chaos,1997,7(3):645-664.
[12]高金峰,侯艳贺,吴金峰.不同阶混沌系统同步及其在保密通信中应用[J].计算机工程与应用,2013,49(21):204-207.
[13]闵国旗,王丽丹,段书凯.离子迁移忆阻混沌电路及其在语音保密通信中的应用[J].物理学报,2015,64(21):251-263.
[14]王宇珍,彭良玉.基于CCCII非线性电阻实现的蔡氏电路及其研究[J].微电子学与计算机,2014,31(08):90-93.
[15]禹思敏,邱水生,林清华.多涡卷混沌吸引子研究的新结果[J].中国科学E辑:技术科学,2003,33(04):365-374.
[16]杨志民.现代电路理论与设计[M].北京:清华大学出版社,2009:164-170.
[2]邵书义,闵富红,吴薛红,等.基于现场可编程逻辑门阵列的新型混沌系统实现[J].物理学报,2014,63(6):73-81.
[3]李亚,禹思敏,戴青云,等.一种新的蔡氏电路设计与硬件实现[J].物理学报,2006,55(8):3938-3944.
[4]M E Yalcin,F A Savaci.New realization of Chua’s circuit and verification of chaos by harmonic analysis.Ari[J],1999,51(3):169-174.
[5]左婷,孙克辉,艾星星,等.基于同相第二代电流传输器的网格多涡卷混沌电路研究[J].物理学报,2014,63(08):21-29.
[6]洪庆辉,李志军,曾金芳,等.基于电流反馈运算放大器的忆阻混沌电路设计与仿真[J].物理学报,2014,63(18):94-101.
[7]Yuxia Li,Guanrong Chen.Controlling a Unified chaotic system to hyperchaoic[J].IEEE Transactions on Circuits and Systems-II:Express Briefs,2005,52(4):204-207.
[8]吴先明,何怡刚,于文新.基于电流反馈放大器的网格多涡卷混沌电路设计与实现[J].物理学报,2014,63(18):131-137.
[9]Yalcin M E,Suykens J,Vandewalle J.Experimental confirmation of 3-and 5-scroll attractors from a generalized Chua’s circuit[J].IEEE Trans Circuit Syst(part-I),2000,47(3):425-429.
[10]Dedieu H,Kennedy M P,Hasler M.Chaos shift keying:Modulation and demodulation of a chaotic carrier using self-synchronizing Chua’s circuits[J].IEEE Trans on CAS,1993,40(10):634-642.
[11]Yang T,Chua L O.Impulsive control and synchronization of nonlinear dynamical systems and applications to secure communication[J].Int.J.Bifurcation and chaos,1997,7(3):645-664.
[12]高金峰,侯艳贺,吴金峰.不同阶混沌系统同步及其在保密通信中应用[J].计算机工程与应用,2013,49(21):204-207.
[13]闵国旗,王丽丹,段书凯.离子迁移忆阻混沌电路及其在语音保密通信中的应用[J].物理学报,2015,64(21):251-263.
[14]王宇珍,彭良玉.基于CCCII非线性电阻实现的蔡氏电路及其研究[J].微电子学与计算机,2014,31(08):90-93.
[15]禹思敏,邱水生,林清华.多涡卷混沌吸引子研究的新结果[J].中国科学E辑:技术科学,2003,33(04):365-374.
[16]杨志民.现代电路理论与设计[M].北京:清华大学出版社,2009:164-170.