A New Six-Term 3D Unified Chaotic System
In this study, four different 3D five-term chaotic flows are unified and a novel six-term 3D unified chaotic system with three nonlinearities is introduced. Firstly, the theoretical system via an electronic circuit is realized, and then the basic dynamical properties of the proposed unified chaotic...
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| Veröffentlicht in: | Iranian journal of science and technology. Transactions of electrical engineering 2020-12, Vol.44 (4), p.1593-1604 |
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| container_issue | 4 |
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| container_title | Iranian journal of science and technology. Transactions of electrical engineering |
| container_volume | 44 |
| creator | Can, Engin Kocamaz, Uğur Erkin Uyaroğlu, Yılmaz |
| description | In this study, four different 3D five-term chaotic flows are unified and a novel six-term 3D unified chaotic system with three nonlinearities is introduced. Firstly, the theoretical system via an electronic circuit is realized, and then the basic dynamical properties of the proposed unified chaotic system are numerically and analytically analyzed, i.e., sensitivity to initial conditions, equilibrium points, eigenvalues, Kaplan–Yorke dimensions, dissipativity, Lyapunov exponents and bifurcation diagrams. Investigation results clearly present that this is a new unified chaotic system and earns further detailed disquisition. |
| doi_str_mv | 10.1007/s40998-020-00325-5 |
| format | Article |
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Firstly, the theoretical system via an electronic circuit is realized, and then the basic dynamical properties of the proposed unified chaotic system are numerically and analytically analyzed, i.e., sensitivity to initial conditions, equilibrium points, eigenvalues, Kaplan–Yorke dimensions, dissipativity, Lyapunov exponents and bifurcation diagrams. Investigation results clearly present that this is a new unified chaotic system and earns further detailed disquisition.</description><identifier>ISSN: 2228-6179</identifier><identifier>EISSN: 2364-1827</identifier><identifier>DOI: 10.1007/s40998-020-00325-5</identifier><language>eng</language><publisher>Cham: Springer International Publishing</publisher><subject>Bifurcations ; Chaos theory ; Circuits ; Eigenvalues ; Electrical Engineering ; Electronic circuits ; Engineering ; Initial conditions ; Liapunov exponents ; Research Paper ; Three dimensional flow</subject><ispartof>Iranian journal of science and technology. 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Transactions of electrical engineering</title><addtitle>Iran J Sci Technol Trans Electr Eng</addtitle><description>In this study, four different 3D five-term chaotic flows are unified and a novel six-term 3D unified chaotic system with three nonlinearities is introduced. Firstly, the theoretical system via an electronic circuit is realized, and then the basic dynamical properties of the proposed unified chaotic system are numerically and analytically analyzed, i.e., sensitivity to initial conditions, equilibrium points, eigenvalues, Kaplan–Yorke dimensions, dissipativity, Lyapunov exponents and bifurcation diagrams. Investigation results clearly present that this is a new unified chaotic system and earns further detailed disquisition.</description><subject>Bifurcations</subject><subject>Chaos theory</subject><subject>Circuits</subject><subject>Eigenvalues</subject><subject>Electrical Engineering</subject><subject>Electronic circuits</subject><subject>Engineering</subject><subject>Initial conditions</subject><subject>Liapunov exponents</subject><subject>Research Paper</subject><subject>Three dimensional flow</subject><issn>2228-6179</issn><issn>2364-1827</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><recordid>eNp9kD1PwzAQhi0EElXpH2CKxMJiuPNHYo9V-ZQqGNrOlhM7kIokxU4F_fcYgsTGcLobnvc96SHkHOEKAYrrKEBrRYEBBeBMUnlEJozngqJixXG6GVM0x0KfklmMWwBAKHiaCbmcZ0_-I1s1n3TtQ5vxm2zTNXXjXbZ4tf3QVNnqEAffnpGT2r5FP_vdU7K5u10vHujy-f5xMV_SiqMeaIlOSJsLVjKnvfQCvbTKIQeLNWeuLphwpbQlWud1XnpVWSW0QhQoaiv4lFyMvbvQv-99HMy234cuvTRMSGBSaJEnio1UFfoYg6_NLjStDQeDYL6lmFGKSVLMjxQjU4iPoZjg7sWHv-p_Ul-Il2F_</recordid><startdate>20201201</startdate><enddate>20201201</enddate><creator>Can, Engin</creator><creator>Kocamaz, Uğur Erkin</creator><creator>Uyaroğlu, Yılmaz</creator><general>Springer International Publishing</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><orcidid>https://orcid.org/0000-0002-4105-6460</orcidid></search><sort><creationdate>20201201</creationdate><title>A New Six-Term 3D Unified Chaotic System</title><author>Can, Engin ; Kocamaz, Uğur Erkin ; Uyaroğlu, Yılmaz</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c319t-b1d45a642b2d9e5e41e5a8d130a1f32df724db5ab1ade96be8ca849811414fa43</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Bifurcations</topic><topic>Chaos theory</topic><topic>Circuits</topic><topic>Eigenvalues</topic><topic>Electrical Engineering</topic><topic>Electronic circuits</topic><topic>Engineering</topic><topic>Initial conditions</topic><topic>Liapunov exponents</topic><topic>Research Paper</topic><topic>Three dimensional flow</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Can, Engin</creatorcontrib><creatorcontrib>Kocamaz, Uğur Erkin</creatorcontrib><creatorcontrib>Uyaroğlu, Yılmaz</creatorcontrib><collection>CrossRef</collection><jtitle>Iranian journal of science and technology. 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| ispartof | Iranian journal of science and technology. Transactions of electrical engineering, 2020-12, Vol.44 (4), p.1593-1604 |
| issn | 2228-6179 2364-1827 |
| language | eng |
| recordid | cdi_proquest_journals_2450254946 |
| source | SpringerLink Journals - AutoHoldings |
| subjects | Bifurcations Chaos theory Circuits Eigenvalues Electrical Engineering Electronic circuits Engineering Initial conditions Liapunov exponents Research Paper Three dimensional flow |
| title | A New Six-Term 3D Unified Chaotic System |
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