Analysis of a New Quadratic 3D Chaotic Attractor
A new three-dimensional chaotic system is introduced. Basic properties of this system show that its corresponding attractor is topologically different from some well-known systems. Next, detailed information on dynamic of this system is obtained numerically by means of Lyapunov exponents spectrum,...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/540769 |
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| _version_ | 1832552256994541568 |
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| author | Shahed Vahedi Mohd Salmi Md Noorani |
| author_facet | Shahed Vahedi Mohd Salmi Md Noorani |
| author_sort | Shahed Vahedi |
| collection | DOAJ |
| description | A new three-dimensional chaotic system is introduced.
Basic properties of this system show that its corresponding attractor is
topologically different from some well-known systems. Next, detailed information
on dynamic of this system is obtained numerically by means of Lyapunov
exponents spectrum, bifurcation diagrams, and 0-1 chaos indicator test. We
finally prove existence of this chaotic attractor theoretically using Shil’nikov
theorem and undetermined coefficient method. |
| format | Article |
| id | doaj-art-ca8222f470aa4638b32267ae39b42a21 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-ca8222f470aa4638b32267ae39b42a212025-02-03T05:59:18ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/540769540769Analysis of a New Quadratic 3D Chaotic AttractorShahed Vahedi0Mohd Salmi Md Noorani1School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor, MalaysiaSchool of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor, MalaysiaA new three-dimensional chaotic system is introduced. Basic properties of this system show that its corresponding attractor is topologically different from some well-known systems. Next, detailed information on dynamic of this system is obtained numerically by means of Lyapunov exponents spectrum, bifurcation diagrams, and 0-1 chaos indicator test. We finally prove existence of this chaotic attractor theoretically using Shil’nikov theorem and undetermined coefficient method.http://dx.doi.org/10.1155/2013/540769 |
| spellingShingle | Shahed Vahedi Mohd Salmi Md Noorani Analysis of a New Quadratic 3D Chaotic Attractor Abstract and Applied Analysis |
| title | Analysis of a New Quadratic 3D Chaotic Attractor |
| title_full | Analysis of a New Quadratic 3D Chaotic Attractor |
| title_fullStr | Analysis of a New Quadratic 3D Chaotic Attractor |
| title_full_unstemmed | Analysis of a New Quadratic 3D Chaotic Attractor |
| title_short | Analysis of a New Quadratic 3D Chaotic Attractor |
| title_sort | analysis of a new quadratic 3d chaotic attractor |
| url | http://dx.doi.org/10.1155/2013/540769 |
| work_keys_str_mv | AT shahedvahedi analysisofanewquadratic3dchaoticattractor AT mohdsalmimdnoorani analysisofanewquadratic3dchaoticattractor |