A Novel Four-Wing Hyperchaotic Complex System and Its Complex Modified Hybrid Projective Synchronization with Different Dimensions
We introduce a new Dadras system with complex variables which can exhibit both four-wing hyperchaotic and chaotic attractors. Some dynamic properties of the system have been described including Lyapunov exponents, fractal dimensions, and Poincaré maps. More importantly, we focus on a new type of syn...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/257327 |
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| _version_ | 1832550314240114688 |
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| author | Jian Liu Shutang Liu Fangfang Zhang |
| author_facet | Jian Liu Shutang Liu Fangfang Zhang |
| author_sort | Jian Liu |
| collection | DOAJ |
| description | We introduce a new Dadras system with complex variables
which can exhibit both four-wing hyperchaotic and chaotic attractors. Some dynamic properties of the system have been described including Lyapunov exponents, fractal dimensions, and Poincaré maps. More importantly,
we focus on a new type of synchronization method of modified hybrid project
synchronization with complex transformation matrix (CMHPS) for different
dimensional hyperchaotic and chaotic complex systems with complex parameters,
where the drive and response systems can be asymptotically synchronized
up to a desired complex transformation matrix, not a diagonal matrix. Furthermore,
CMHPS between the novel hyperchaotic Dadras complex system
and other two different dimensional complex chaotic systems is provided as
an example to discuss increased order synchronization and reduced order
synchronization, respectively. Numerical results verify the feasibility and effectiveness
of the presented schemes. |
| format | Article |
| id | doaj-art-eb6e2479add948229657d5856289c03b |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-eb6e2479add948229657d5856289c03b2025-02-03T06:07:11ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/257327257327A Novel Four-Wing Hyperchaotic Complex System and Its Complex Modified Hybrid Projective Synchronization with Different DimensionsJian Liu0Shutang Liu1Fangfang Zhang2School of Control Science and Engineering, Shandong University, Ji’nan 250061, ChinaSchool of Control Science and Engineering, Shandong University, Ji’nan 250061, ChinaSchool of Control Science and Engineering, Shandong University, Ji’nan 250061, ChinaWe introduce a new Dadras system with complex variables which can exhibit both four-wing hyperchaotic and chaotic attractors. Some dynamic properties of the system have been described including Lyapunov exponents, fractal dimensions, and Poincaré maps. More importantly, we focus on a new type of synchronization method of modified hybrid project synchronization with complex transformation matrix (CMHPS) for different dimensional hyperchaotic and chaotic complex systems with complex parameters, where the drive and response systems can be asymptotically synchronized up to a desired complex transformation matrix, not a diagonal matrix. Furthermore, CMHPS between the novel hyperchaotic Dadras complex system and other two different dimensional complex chaotic systems is provided as an example to discuss increased order synchronization and reduced order synchronization, respectively. Numerical results verify the feasibility and effectiveness of the presented schemes.http://dx.doi.org/10.1155/2014/257327 |
| spellingShingle | Jian Liu Shutang Liu Fangfang Zhang A Novel Four-Wing Hyperchaotic Complex System and Its Complex Modified Hybrid Projective Synchronization with Different Dimensions Abstract and Applied Analysis |
| title | A Novel Four-Wing Hyperchaotic Complex System and Its Complex Modified Hybrid Projective Synchronization with Different Dimensions |
| title_full | A Novel Four-Wing Hyperchaotic Complex System and Its Complex Modified Hybrid Projective Synchronization with Different Dimensions |
| title_fullStr | A Novel Four-Wing Hyperchaotic Complex System and Its Complex Modified Hybrid Projective Synchronization with Different Dimensions |
| title_full_unstemmed | A Novel Four-Wing Hyperchaotic Complex System and Its Complex Modified Hybrid Projective Synchronization with Different Dimensions |
| title_short | A Novel Four-Wing Hyperchaotic Complex System and Its Complex Modified Hybrid Projective Synchronization with Different Dimensions |
| title_sort | novel four wing hyperchaotic complex system and its complex modified hybrid projective synchronization with different dimensions |
| url | http://dx.doi.org/10.1155/2014/257327 |
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