A smooth chaotic map with parameterized shape and symmetry
We introduce in this paper a new chaotic map with dynamical properties controlled by two free parameters. The map definition is based on the hyperbolic tangent function, so it is called the tanh map. We demonstrate that the Lyapunov exponent of the tanh map is robust, remaining practically unaltered...
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| Veröffentlicht in: | EURASIP journal on advances in signal processing 2016-11, Vol.2016 (1), p.1-10, Article 122 |
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| container_title | EURASIP journal on advances in signal processing |
| container_volume | 2016 |
| creator | Chaves, Daniel P.B. Souza, Carlos E.C. Pimentel, Cecilio |
| description | We introduce in this paper a new chaotic map with dynamical properties controlled by two free parameters. The map definition is based on the hyperbolic tangent function, so it is called the tanh map. We demonstrate that the Lyapunov exponent of the tanh map is robust, remaining practically unaltered with the variation of its parameters. As the main application, we consider a chaotic communication system based on symbolic dynamics with advantages over current approaches that use piecewise linear maps. In this context, we propose a new measure, namely, the spread rate, to study the local structure of the chaotic dynamics of a one-dimensional chaotic map. |
| doi_str_mv | 10.1186/s13634-016-0405-4 |
| format | Article |
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Adv. Signal Process</addtitle><description>We introduce in this paper a new chaotic map with dynamical properties controlled by two free parameters. The map definition is based on the hyperbolic tangent function, so it is called the tanh map. We demonstrate that the Lyapunov exponent of the tanh map is robust, remaining practically unaltered with the variation of its parameters. As the main application, we consider a chaotic communication system based on symbolic dynamics with advantages over current approaches that use piecewise linear maps. 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Souza, Carlos E.C. ; Pimentel, Cecilio</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c431t-fbdf93bf4c5843f0de5d41bca5ea0aa0b7ab396c842c2c84d9a54dfcaf2b8de3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>Chaos theory</topic><topic>Communication systems</topic><topic>Dynamic structural analysis</topic><topic>Dynamical systems</topic><topic>Dynamics</topic><topic>Engineering</topic><topic>Lyapunov exponents</topic><topic>Parameters</topic><topic>Quantum Information Technology</topic><topic>Signal,Image and Speech Processing</topic><topic>Spintronics</topic><topic>Tangents</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Chaves, Daniel P.B.</creatorcontrib><creatorcontrib>Souza, Carlos E.C.</creatorcontrib><creatorcontrib>Pimentel, Cecilio</creatorcontrib><collection>Springer Nature OA Free Journals</collection><collection>CrossRef</collection><collection>ProQuest Central (Corporate)</collection><collection>Computer and Information Systems Abstracts</collection><collection>Electronics & Communications Abstracts</collection><collection>ProQuest Central (purchase pre-March 2016)</collection><collection>Computing Database (Alumni Edition)</collection><collection>Technology Research Database</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central (Alumni) (purchase pre-March 2016)</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>ProQuest Central Student</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Computer Science Collection</collection><collection>Computer Science Database</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><collection>Computing Database</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>ProQuest Central Basic</collection><jtitle>EURASIP journal on advances in signal processing</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Chaves, Daniel P.B.</au><au>Souza, Carlos E.C.</au><au>Pimentel, Cecilio</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A smooth chaotic map with parameterized shape and symmetry</atitle><jtitle>EURASIP journal on advances in signal processing</jtitle><stitle>EURASIP J. Adv. Signal Process</stitle><date>2016-11-17</date><risdate>2016</risdate><volume>2016</volume><issue>1</issue><spage>1</spage><epage>10</epage><pages>1-10</pages><artnum>122</artnum><issn>1687-6180</issn><issn>1687-6172</issn><eissn>1687-6180</eissn><abstract>We introduce in this paper a new chaotic map with dynamical properties controlled by two free parameters. The map definition is based on the hyperbolic tangent function, so it is called the tanh map. We demonstrate that the Lyapunov exponent of the tanh map is robust, remaining practically unaltered with the variation of its parameters. As the main application, we consider a chaotic communication system based on symbolic dynamics with advantages over current approaches that use piecewise linear maps. 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| source | DOAJ Directory of Open Access Journals; SpringerNature Journals; Springer Nature OA Free Journals; Alma/SFX Local Collection |
| subjects | Chaos theory Communication systems Dynamic structural analysis Dynamical systems Dynamics Engineering Lyapunov exponents Parameters Quantum Information Technology Signal,Image and Speech Processing Spintronics Tangents |
| title | A smooth chaotic map with parameterized shape and symmetry |
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