A Simple Parallel Chaotic Circuit Based on Memristor

This paper reports a simple parallel chaotic circuit with only four circuit elements: a capacitor, an inductor, a thermistor, and a linear negative resistor. The proposed system was analyzed with MATLAB R2018 through some numerical methods, such as largest Lyapunov exponent spectrum (LLE), phase dia...
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Autor*in:	Xiefu Zhang [verfasserIn] Zean Tian [verfasserIn] Jian Li [verfasserIn] Zhongwei Cui [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2021

Schlagwörter:	memristor thermistor coexisting attractors state transition spectral entropy sample entropy

Übergeordnetes Werk:	In: Entropy - MDPI AG, 2003, 23(2021), 6, p 719
Übergeordnetes Werk:	volume:23 ; year:2021 ; number:6, p 719

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc

DOI / URN:	10.3390/e23060719

Katalog-ID:	DOAJ030357829

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520			\|a This paper reports a simple parallel chaotic circuit with only four circuit elements: a capacitor, an inductor, a thermistor, and a linear negative resistor. The proposed system was analyzed with MATLAB R2018 through some numerical methods, such as largest Lyapunov exponent spectrum (LLE), phase diagram, Poincaré map, dynamic map, and time-domain waveform. The results revealed 11 kinds of chaotic attractors, 4 kinds of periodic attractors, and some attractive characteristics (such as coexistence attractors and transient transition behaviors). In addition, spectral entropy and sample entropy are adopted to analyze the phenomenon of coexisting attractors. The theoretical analysis and numerical simulation demonstrate that the system has rich dynamic characteristics.
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allfields	10.3390/e23060719 doi (DE-627)DOAJ030357829 (DE-599)DOAJ4566ccdb4ac14407a9f946cb27503506 DE-627 ger DE-627 rakwb eng QB460-466 QC1-999 Xiefu Zhang verfasserin aut A Simple Parallel Chaotic Circuit Based on Memristor 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier This paper reports a simple parallel chaotic circuit with only four circuit elements: a capacitor, an inductor, a thermistor, and a linear negative resistor. The proposed system was analyzed with MATLAB R2018 through some numerical methods, such as largest Lyapunov exponent spectrum (LLE), phase diagram, Poincaré map, dynamic map, and time-domain waveform. The results revealed 11 kinds of chaotic attractors, 4 kinds of periodic attractors, and some attractive characteristics (such as coexistence attractors and transient transition behaviors). In addition, spectral entropy and sample entropy are adopted to analyze the phenomenon of coexisting attractors. The theoretical analysis and numerical simulation demonstrate that the system has rich dynamic characteristics. memristor thermistor coexisting attractors state transition spectral entropy sample entropy Science Q Astrophysics Physics Zean Tian verfasserin aut Jian Li verfasserin aut Zhongwei Cui verfasserin aut In Entropy MDPI AG, 2003 23(2021), 6, p 719 (DE-627)316340359 (DE-600)2014734-X 10994300 nnns volume:23 year:2021 number:6, p 719 https://doi.org/10.3390/e23060719 kostenfrei https://doaj.org/article/4566ccdb4ac14407a9f946cb27503506 kostenfrei https://www.mdpi.com/1099-4300/23/6/719 kostenfrei https://doaj.org/toc/1099-4300 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 23 2021 6, p 719
spelling	10.3390/e23060719 doi (DE-627)DOAJ030357829 (DE-599)DOAJ4566ccdb4ac14407a9f946cb27503506 DE-627 ger DE-627 rakwb eng QB460-466 QC1-999 Xiefu Zhang verfasserin aut A Simple Parallel Chaotic Circuit Based on Memristor 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier This paper reports a simple parallel chaotic circuit with only four circuit elements: a capacitor, an inductor, a thermistor, and a linear negative resistor. The proposed system was analyzed with MATLAB R2018 through some numerical methods, such as largest Lyapunov exponent spectrum (LLE), phase diagram, Poincaré map, dynamic map, and time-domain waveform. The results revealed 11 kinds of chaotic attractors, 4 kinds of periodic attractors, and some attractive characteristics (such as coexistence attractors and transient transition behaviors). In addition, spectral entropy and sample entropy are adopted to analyze the phenomenon of coexisting attractors. The theoretical analysis and numerical simulation demonstrate that the system has rich dynamic characteristics. memristor thermistor coexisting attractors state transition spectral entropy sample entropy Science Q Astrophysics Physics Zean Tian verfasserin aut Jian Li verfasserin aut Zhongwei Cui verfasserin aut In Entropy MDPI AG, 2003 23(2021), 6, p 719 (DE-627)316340359 (DE-600)2014734-X 10994300 nnns volume:23 year:2021 number:6, p 719 https://doi.org/10.3390/e23060719 kostenfrei https://doaj.org/article/4566ccdb4ac14407a9f946cb27503506 kostenfrei https://www.mdpi.com/1099-4300/23/6/719 kostenfrei https://doaj.org/toc/1099-4300 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 23 2021 6, p 719
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allfieldsGer	10.3390/e23060719 doi (DE-627)DOAJ030357829 (DE-599)DOAJ4566ccdb4ac14407a9f946cb27503506 DE-627 ger DE-627 rakwb eng QB460-466 QC1-999 Xiefu Zhang verfasserin aut A Simple Parallel Chaotic Circuit Based on Memristor 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier This paper reports a simple parallel chaotic circuit with only four circuit elements: a capacitor, an inductor, a thermistor, and a linear negative resistor. The proposed system was analyzed with MATLAB R2018 through some numerical methods, such as largest Lyapunov exponent spectrum (LLE), phase diagram, Poincaré map, dynamic map, and time-domain waveform. The results revealed 11 kinds of chaotic attractors, 4 kinds of periodic attractors, and some attractive characteristics (such as coexistence attractors and transient transition behaviors). In addition, spectral entropy and sample entropy are adopted to analyze the phenomenon of coexisting attractors. The theoretical analysis and numerical simulation demonstrate that the system has rich dynamic characteristics. memristor thermistor coexisting attractors state transition spectral entropy sample entropy Science Q Astrophysics Physics Zean Tian verfasserin aut Jian Li verfasserin aut Zhongwei Cui verfasserin aut In Entropy MDPI AG, 2003 23(2021), 6, p 719 (DE-627)316340359 (DE-600)2014734-X 10994300 nnns volume:23 year:2021 number:6, p 719 https://doi.org/10.3390/e23060719 kostenfrei https://doaj.org/article/4566ccdb4ac14407a9f946cb27503506 kostenfrei https://www.mdpi.com/1099-4300/23/6/719 kostenfrei https://doaj.org/toc/1099-4300 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 23 2021 6, p 719
allfieldsSound	10.3390/e23060719 doi (DE-627)DOAJ030357829 (DE-599)DOAJ4566ccdb4ac14407a9f946cb27503506 DE-627 ger DE-627 rakwb eng QB460-466 QC1-999 Xiefu Zhang verfasserin aut A Simple Parallel Chaotic Circuit Based on Memristor 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier This paper reports a simple parallel chaotic circuit with only four circuit elements: a capacitor, an inductor, a thermistor, and a linear negative resistor. The proposed system was analyzed with MATLAB R2018 through some numerical methods, such as largest Lyapunov exponent spectrum (LLE), phase diagram, Poincaré map, dynamic map, and time-domain waveform. The results revealed 11 kinds of chaotic attractors, 4 kinds of periodic attractors, and some attractive characteristics (such as coexistence attractors and transient transition behaviors). In addition, spectral entropy and sample entropy are adopted to analyze the phenomenon of coexisting attractors. The theoretical analysis and numerical simulation demonstrate that the system has rich dynamic characteristics. memristor thermistor coexisting attractors state transition spectral entropy sample entropy Science Q Astrophysics Physics Zean Tian verfasserin aut Jian Li verfasserin aut Zhongwei Cui verfasserin aut In Entropy MDPI AG, 2003 23(2021), 6, p 719 (DE-627)316340359 (DE-600)2014734-X 10994300 nnns volume:23 year:2021 number:6, p 719 https://doi.org/10.3390/e23060719 kostenfrei https://doaj.org/article/4566ccdb4ac14407a9f946cb27503506 kostenfrei https://www.mdpi.com/1099-4300/23/6/719 kostenfrei https://doaj.org/toc/1099-4300 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 23 2021 6, p 719
language	English
source	In Entropy 23(2021), 6, p 719 volume:23 year:2021 number:6, p 719
sourceStr	In Entropy 23(2021), 6, p 719 volume:23 year:2021 number:6, p 719
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	memristor thermistor coexisting attractors state transition spectral entropy sample entropy Science Q Astrophysics Physics
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container_title	Entropy
authorswithroles_txt_mv	Xiefu Zhang @@aut@@ Zean Tian @@aut@@ Jian Li @@aut@@ Zhongwei Cui @@aut@@
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callnumber-first	Q - Science
author	Xiefu Zhang
spellingShingle	Xiefu Zhang misc QB460-466 misc QC1-999 misc memristor misc thermistor misc coexisting attractors misc state transition misc spectral entropy misc sample entropy misc Science misc Q misc Astrophysics misc Physics A Simple Parallel Chaotic Circuit Based on Memristor
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topic_title	QB460-466 QC1-999 A Simple Parallel Chaotic Circuit Based on Memristor memristor thermistor coexisting attractors state transition spectral entropy sample entropy
topic	misc QB460-466 misc QC1-999 misc memristor misc thermistor misc coexisting attractors misc state transition misc spectral entropy misc sample entropy misc Science misc Q misc Astrophysics misc Physics
topic_unstemmed	misc QB460-466 misc QC1-999 misc memristor misc thermistor misc coexisting attractors misc state transition misc spectral entropy misc sample entropy misc Science misc Q misc Astrophysics misc Physics
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title	A Simple Parallel Chaotic Circuit Based on Memristor
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title_sort	simple parallel chaotic circuit based on memristor
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title_auth	A Simple Parallel Chaotic Circuit Based on Memristor
abstract	This paper reports a simple parallel chaotic circuit with only four circuit elements: a capacitor, an inductor, a thermistor, and a linear negative resistor. The proposed system was analyzed with MATLAB R2018 through some numerical methods, such as largest Lyapunov exponent spectrum (LLE), phase diagram, Poincaré map, dynamic map, and time-domain waveform. The results revealed 11 kinds of chaotic attractors, 4 kinds of periodic attractors, and some attractive characteristics (such as coexistence attractors and transient transition behaviors). In addition, spectral entropy and sample entropy are adopted to analyze the phenomenon of coexisting attractors. The theoretical analysis and numerical simulation demonstrate that the system has rich dynamic characteristics.
abstractGer	This paper reports a simple parallel chaotic circuit with only four circuit elements: a capacitor, an inductor, a thermistor, and a linear negative resistor. The proposed system was analyzed with MATLAB R2018 through some numerical methods, such as largest Lyapunov exponent spectrum (LLE), phase diagram, Poincaré map, dynamic map, and time-domain waveform. The results revealed 11 kinds of chaotic attractors, 4 kinds of periodic attractors, and some attractive characteristics (such as coexistence attractors and transient transition behaviors). In addition, spectral entropy and sample entropy are adopted to analyze the phenomenon of coexisting attractors. The theoretical analysis and numerical simulation demonstrate that the system has rich dynamic characteristics.
abstract_unstemmed	This paper reports a simple parallel chaotic circuit with only four circuit elements: a capacitor, an inductor, a thermistor, and a linear negative resistor. The proposed system was analyzed with MATLAB R2018 through some numerical methods, such as largest Lyapunov exponent spectrum (LLE), phase diagram, Poincaré map, dynamic map, and time-domain waveform. The results revealed 11 kinds of chaotic attractors, 4 kinds of periodic attractors, and some attractive characteristics (such as coexistence attractors and transient transition behaviors). In addition, spectral entropy and sample entropy are adopted to analyze the phenomenon of coexisting attractors. The theoretical analysis and numerical simulation demonstrate that the system has rich dynamic characteristics.
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title_short	A Simple Parallel Chaotic Circuit Based on Memristor
url	https://doi.org/10.3390/e23060719 https://doaj.org/article/4566ccdb4ac14407a9f946cb27503506 https://www.mdpi.com/1099-4300/23/6/719 https://doaj.org/toc/1099-4300
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