Fractional-order simplest memristor-based chaotic circuit with new derivative
. In this paper, the fractional-order simplest memristor-based chaotic circuit is investigated based on the novel conformable Adomian decomposition method (CADM). Dynamics of this circuit is analyzed by employing bifurcation diagram, Lyapunov exponent spectrum, Poincaré section and other methods. Th...
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| Veröffentlicht in: | European physical journal plus 2018-01, Vol.133 (1), p.3, Article 3 |
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| creator | Ruan, Jingya Sun, Kehui Mou, Jun He, Shaobo Zhang, Limin |
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In this paper, the fractional-order simplest memristor-based chaotic circuit is investigated based on the novel conformable Adomian decomposition method (CADM). Dynamics of this circuit is analyzed by employing bifurcation diagram, Lyapunov exponent spectrum, Poincaré section and other methods. The result shows that it has rich dynamical behaviors and we found the minimum order of this system for generating chaos is 1.08. To implement the system in digital circuit, the CADM iteration results with different items are compared to balance the speed and accuracy, and the suitable items are chosen for further application. Finally, DSP implementation of the system verifies the effectiveness of the solution algorithm. |
| doi_str_mv | 10.1140/epjp/i2018-11828-0 |
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In this paper, the fractional-order simplest memristor-based chaotic circuit is investigated based on the novel conformable Adomian decomposition method (CADM). Dynamics of this circuit is analyzed by employing bifurcation diagram, Lyapunov exponent spectrum, Poincaré section and other methods. The result shows that it has rich dynamical behaviors and we found the minimum order of this system for generating chaos is 1.08. To implement the system in digital circuit, the CADM iteration results with different items are compared to balance the speed and accuracy, and the suitable items are chosen for further application. Finally, DSP implementation of the system verifies the effectiveness of the solution algorithm.</description><identifier>ISSN: 2190-5444</identifier><identifier>EISSN: 2190-5444</identifier><identifier>DOI: 10.1140/epjp/i2018-11828-0</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Algorithms ; Applied and Technical Physics ; Atomic ; Calculus ; Complex Systems ; Condensed Matter Physics ; Decomposition ; Digital electronics ; Liapunov exponents ; Mathematical and Computational Physics ; Memristors ; Molecular ; Optical and Plasma Physics ; Physics ; Physics and Astronomy ; Regular Article ; Theoretical</subject><ispartof>European physical journal plus, 2018-01, Vol.133 (1), p.3, Article 3</ispartof><rights>Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2018</rights><rights>Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2018.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c319t-a726629d6087f2a4aa832f1986429c34cf9eba40ade7e9d39766e484875aae663</citedby><cites>FETCH-LOGICAL-c319t-a726629d6087f2a4aa832f1986429c34cf9eba40ade7e9d39766e484875aae663</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1140/epjp/i2018-11828-0$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://www.proquest.com/docview/2919964942?pq-origsite=primo$$EHTML$$P50$$Gproquest$$H</linktohtml><link.rule.ids>314,776,780,21369,27903,27904,33723,41467,42536,43784,51297</link.rule.ids></links><search><creatorcontrib>Ruan, Jingya</creatorcontrib><creatorcontrib>Sun, Kehui</creatorcontrib><creatorcontrib>Mou, Jun</creatorcontrib><creatorcontrib>He, Shaobo</creatorcontrib><creatorcontrib>Zhang, Limin</creatorcontrib><title>Fractional-order simplest memristor-based chaotic circuit with new derivative</title><title>European physical journal plus</title><addtitle>Eur. Phys. J. Plus</addtitle><description>.
In this paper, the fractional-order simplest memristor-based chaotic circuit is investigated based on the novel conformable Adomian decomposition method (CADM). Dynamics of this circuit is analyzed by employing bifurcation diagram, Lyapunov exponent spectrum, Poincaré section and other methods. The result shows that it has rich dynamical behaviors and we found the minimum order of this system for generating chaos is 1.08. To implement the system in digital circuit, the CADM iteration results with different items are compared to balance the speed and accuracy, and the suitable items are chosen for further application. Finally, DSP implementation of the system verifies the effectiveness of the solution algorithm.</description><subject>Algorithms</subject><subject>Applied and Technical Physics</subject><subject>Atomic</subject><subject>Calculus</subject><subject>Complex Systems</subject><subject>Condensed Matter Physics</subject><subject>Decomposition</subject><subject>Digital electronics</subject><subject>Liapunov exponents</subject><subject>Mathematical and Computational Physics</subject><subject>Memristors</subject><subject>Molecular</subject><subject>Optical and Plasma Physics</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Regular Article</subject><subject>Theoretical</subject><issn>2190-5444</issn><issn>2190-5444</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><sourceid>BENPR</sourceid><recordid>eNp9kEFPAjEQhRujiQT5A5428Vxpu6XbHg0RJcF40XMzdGelhGXXtkD89xYw0ZNzmTm89zLvI-SWs3vOJRtjv-7HXjCuKedaaMouyEBww-hESnn5574moxjXLI80XBo5IC-zAC75bgsb2oUaQxF9228wpqLFNviYukCXELEu3Aq65F3hfHA7n4qDT6tii4ciu_wekt_jDblqYBNx9LOH5H32-DZ9povXp_n0YUFdyU2iUAmlhKkV01UjQALoUjTcaCWFcaV0jcElSAY1Vmjq0lRKodRSVxMAVKockrtzbh-6z11-1q67XcgdohWGG6NyN5FV4qxyoYsxYGP74FsIX5YzeyRnj-TsiZw9kbMsm8qzKWbx9gPDb_Q_rm-xFXOK</recordid><startdate>20180101</startdate><enddate>20180101</enddate><creator>Ruan, Jingya</creator><creator>Sun, Kehui</creator><creator>Mou, Jun</creator><creator>He, Shaobo</creator><creator>Zhang, Limin</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>8FE</scope><scope>8FG</scope><scope>AEUYN</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>BHPHI</scope><scope>BKSAR</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>P5Z</scope><scope>P62</scope><scope>PCBAR</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope></search><sort><creationdate>20180101</creationdate><title>Fractional-order simplest memristor-based chaotic circuit with new derivative</title><author>Ruan, Jingya ; Sun, Kehui ; Mou, Jun ; He, Shaobo ; Zhang, Limin</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c319t-a726629d6087f2a4aa832f1986429c34cf9eba40ade7e9d39766e484875aae663</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2018</creationdate><topic>Algorithms</topic><topic>Applied and Technical Physics</topic><topic>Atomic</topic><topic>Calculus</topic><topic>Complex Systems</topic><topic>Condensed Matter Physics</topic><topic>Decomposition</topic><topic>Digital electronics</topic><topic>Liapunov exponents</topic><topic>Mathematical and Computational Physics</topic><topic>Memristors</topic><topic>Molecular</topic><topic>Optical and Plasma Physics</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Regular Article</topic><topic>Theoretical</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Ruan, Jingya</creatorcontrib><creatorcontrib>Sun, Kehui</creatorcontrib><creatorcontrib>Mou, Jun</creatorcontrib><creatorcontrib>He, Shaobo</creatorcontrib><creatorcontrib>Zhang, Limin</creatorcontrib><collection>CrossRef</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest One Sustainability</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>Natural Science Collection</collection><collection>Earth, Atmospheric & Aquatic Science Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>Earth, Atmospheric & Aquatic Science Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><jtitle>European physical journal plus</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Ruan, Jingya</au><au>Sun, Kehui</au><au>Mou, Jun</au><au>He, Shaobo</au><au>Zhang, Limin</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Fractional-order simplest memristor-based chaotic circuit with new derivative</atitle><jtitle>European physical journal plus</jtitle><stitle>Eur. Phys. J. Plus</stitle><date>2018-01-01</date><risdate>2018</risdate><volume>133</volume><issue>1</issue><spage>3</spage><pages>3-</pages><artnum>3</artnum><issn>2190-5444</issn><eissn>2190-5444</eissn><abstract>.
In this paper, the fractional-order simplest memristor-based chaotic circuit is investigated based on the novel conformable Adomian decomposition method (CADM). Dynamics of this circuit is analyzed by employing bifurcation diagram, Lyapunov exponent spectrum, Poincaré section and other methods. The result shows that it has rich dynamical behaviors and we found the minimum order of this system for generating chaos is 1.08. To implement the system in digital circuit, the CADM iteration results with different items are compared to balance the speed and accuracy, and the suitable items are chosen for further application. Finally, DSP implementation of the system verifies the effectiveness of the solution algorithm.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1140/epjp/i2018-11828-0</doi></addata></record> |
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| subjects | Algorithms Applied and Technical Physics Atomic Calculus Complex Systems Condensed Matter Physics Decomposition Digital electronics Liapunov exponents Mathematical and Computational Physics Memristors Molecular Optical and Plasma Physics Physics Physics and Astronomy Regular Article Theoretical |
| title | Fractional-order simplest memristor-based chaotic circuit with new derivative |
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