A simple chaotic circuit with a hyperbolic sine function and its use in a sound encryption scheme
In this work, one of the most simple chaotic autonomous circuits, which has been reported in the literature, is presented. The proposed circuit, that belongs to jerk systems family, is described mathematically by a 3-D dynamical system with only five terms, and it has only one nonlinear term, which...
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| Veröffentlicht in: | Nonlinear dynamics 2017-07, Vol.89 (2), p.1047-1061 |
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| container_title | Nonlinear dynamics |
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| creator | Volos, Christos Akgul, Akif Pham, Viet-Thanh Stouboulos, Ioannis Kyprianidis, Ioannis |
| description | In this work, one of the most simple chaotic autonomous circuits, which has been reported in the literature, is presented. The proposed circuit, that belongs to jerk systems family, is described mathematically by a 3-D dynamical system with only five terms, and it has only one nonlinear term, which is the hyperbolic sine term implemented with two antiparallel diodes. This new jerk system presents interesting chaotic phenomena, such as coexisting attractors and antimonotonicity. Also, as an application of the proposed system a sound encryption scheme that is based on a random number generator, which is implemented with the jerk system, is presented. The practical usefulness of the proposed simple chaotic jerk circuit is confirmed from the results of NIST-800-22 tests of the chaotic random number generator, as well as from the successful sound encryption and decryption process. |
| doi_str_mv | 10.1007/s11071-017-3499-9 |
| format | Article |
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The proposed circuit, that belongs to jerk systems family, is described mathematically by a 3-D dynamical system with only five terms, and it has only one nonlinear term, which is the hyperbolic sine term implemented with two antiparallel diodes. This new jerk system presents interesting chaotic phenomena, such as coexisting attractors and antimonotonicity. Also, as an application of the proposed system a sound encryption scheme that is based on a random number generator, which is implemented with the jerk system, is presented. The practical usefulness of the proposed simple chaotic jerk circuit is confirmed from the results of NIST-800-22 tests of the chaotic random number generator, as well as from the successful sound encryption and decryption process.</description><identifier>ISSN: 0924-090X</identifier><identifier>EISSN: 1573-269X</identifier><identifier>DOI: 10.1007/s11071-017-3499-9</identifier><language>eng</language><publisher>Dordrecht: Springer Netherlands</publisher><subject>Automotive Engineering ; Chaos theory ; Circuits ; Classical Mechanics ; Control ; Data encryption ; Diodes ; Dynamical Systems ; Encryption ; Engineering ; Hyperbolic functions ; Mechanical Engineering ; Nonlinear dynamics ; Original Paper ; Random numbers ; Sound ; Trigonometric functions ; Vibration</subject><ispartof>Nonlinear dynamics, 2017-07, Vol.89 (2), p.1047-1061</ispartof><rights>Springer Science+Business Media Dordrecht 2017</rights><rights>Copyright Springer Science & Business Media 2017</rights><rights>Nonlinear Dynamics is a copyright of Springer, (2017). 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The practical usefulness of the proposed simple chaotic jerk circuit is confirmed from the results of NIST-800-22 tests of the chaotic random number generator, as well as from the successful sound encryption and decryption process.</description><subject>Automotive Engineering</subject><subject>Chaos theory</subject><subject>Circuits</subject><subject>Classical Mechanics</subject><subject>Control</subject><subject>Data encryption</subject><subject>Diodes</subject><subject>Dynamical Systems</subject><subject>Encryption</subject><subject>Engineering</subject><subject>Hyperbolic functions</subject><subject>Mechanical Engineering</subject><subject>Nonlinear dynamics</subject><subject>Original Paper</subject><subject>Random numbers</subject><subject>Sound</subject><subject>Trigonometric functions</subject><subject>Vibration</subject><issn>0924-090X</issn><issn>1573-269X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2017</creationdate><recordtype>article</recordtype><sourceid>AFKRA</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><recordid>eNp9kE1LxDAQhoMouK7-AG8Bz9GZpGma47L4BQteFPYWsmlqs-y2NWmR_fd2rQcvehpm5nln4CHkGuEWAdRdQgSFDFAxkWnN9AmZoVSC8VyvT8kMNM8YaFifk4uUtgAgOBQzYhc0hX2389TVtu2Doy5EN4Sefoa-ppbWh87HTbsbNyk0nlZD4_rQNtQ2JQ19okPyNIwtTe0wjnzj4qH7JpKr_d5fkrPK7pK_-qlz8vZw_7p8YquXx-flYsWcyLKeOS-gqlBV0uEGC59hDlZa7TVWhRJ8w0soBCoucpW7SpdKO1X4ssi8K0opxZzcTHe72H4MPvVm2w6xGV8azqXOpFDqXwo1Sqm1gmykcKJcbFOKvjJdDHsbDwbBHH2bybcZfZujb6PHDJ8yaWSbdx9_Xf4z9AW4G4Jc</recordid><startdate>20170701</startdate><enddate>20170701</enddate><creator>Volos, Christos</creator><creator>Akgul, Akif</creator><creator>Pham, Viet-Thanh</creator><creator>Stouboulos, Ioannis</creator><creator>Kyprianidis, Ioannis</creator><general>Springer Netherlands</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>AFKRA</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><orcidid>https://orcid.org/0000-0001-8763-7255</orcidid></search><sort><creationdate>20170701</creationdate><title>A simple chaotic circuit with a hyperbolic sine function and its use in a sound encryption scheme</title><author>Volos, Christos ; 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| subjects | Automotive Engineering Chaos theory Circuits Classical Mechanics Control Data encryption Diodes Dynamical Systems Encryption Engineering Hyperbolic functions Mechanical Engineering Nonlinear dynamics Original Paper Random numbers Sound Trigonometric functions Vibration |
| title | A simple chaotic circuit with a hyperbolic sine function and its use in a sound encryption scheme |
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