A new 4-D hyperchaotic system with no equilibrium, its multistability, offset boosting and circuit simulation
A new 4-D dynamical system with hyperchaos is reported in this work. It is shown that the proposed nonlinear dynamical system with hyperchaos has no equilibrium point. Hence, the new dynamical system exhibits hidden hyperchaotic attractor. An in-depth dynamic analysis of the new hyperchaotic system...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
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De Gruyter
2020
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| _version_ | 1797057181989732352 |
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| author | Vaidyanathan, S Moroz, IM Sambas, A |
| author_facet | Vaidyanathan, S Moroz, IM Sambas, A |
| author_sort | Vaidyanathan, S |
| collection | OXFORD |
| description | A new 4-D dynamical system with hyperchaos is reported in this work. It is shown that the proposed nonlinear dynamical system with hyperchaos has no equilibrium point. Hence, the new dynamical system exhibits hidden hyperchaotic attractor. An in-depth dynamic analysis of the new hyperchaotic system is carried out with bifurcation transition diagrams, multistability analysis, period-doubling bubbles and offset boosting analysis. Using Integral Sliding Mode Control (ISMC), global hyperchaos synchronization results of the new hyperchaotic system are described in detail. Furthermore, an electronic circuit realization of the new hyperchaotic system has been simulated in MultiSim software version 13.0 and the results of which are in good agreement with the numerical simulations using MATLAB. |
| first_indexed | 2024-03-06T19:32:37Z |
| format | Journal article |
| id | oxford-uuid:1df9d972-377f-45f6-923a-1a13f0912aeb |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T19:32:37Z |
| publishDate | 2020 |
| publisher | De Gruyter |
| record_format | dspace |
| spelling | oxford-uuid:1df9d972-377f-45f6-923a-1a13f0912aeb2022-03-26T11:13:50ZA new 4-D hyperchaotic system with no equilibrium, its multistability, offset boosting and circuit simulationJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:1df9d972-377f-45f6-923a-1a13f0912aebEnglishSymplectic Elements De Gruyter2020Vaidyanathan, SMoroz, IMSambas, AA new 4-D dynamical system with hyperchaos is reported in this work. It is shown that the proposed nonlinear dynamical system with hyperchaos has no equilibrium point. Hence, the new dynamical system exhibits hidden hyperchaotic attractor. An in-depth dynamic analysis of the new hyperchaotic system is carried out with bifurcation transition diagrams, multistability analysis, period-doubling bubbles and offset boosting analysis. Using Integral Sliding Mode Control (ISMC), global hyperchaos synchronization results of the new hyperchaotic system are described in detail. Furthermore, an electronic circuit realization of the new hyperchaotic system has been simulated in MultiSim software version 13.0 and the results of which are in good agreement with the numerical simulations using MATLAB. |
| spellingShingle | Vaidyanathan, S Moroz, IM Sambas, A A new 4-D hyperchaotic system with no equilibrium, its multistability, offset boosting and circuit simulation |
| title | A new 4-D hyperchaotic system with no equilibrium, its multistability, offset boosting and circuit simulation |
| title_full | A new 4-D hyperchaotic system with no equilibrium, its multistability, offset boosting and circuit simulation |
| title_fullStr | A new 4-D hyperchaotic system with no equilibrium, its multistability, offset boosting and circuit simulation |
| title_full_unstemmed | A new 4-D hyperchaotic system with no equilibrium, its multistability, offset boosting and circuit simulation |
| title_short | A new 4-D hyperchaotic system with no equilibrium, its multistability, offset boosting and circuit simulation |
| title_sort | new 4 d hyperchaotic system with no equilibrium its multistability offset boosting and circuit simulation |
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