A Novel Hyperchaotic Financial System with Sinusoidal Hyperbolic Nonlinearity: From Theoretical Analysis to Adaptive Neural Fuzzy Controller Method
Chaotic systems are known to be extremely sensitive to initial conditions, meaning small changes can have a significant impact on the outcomes. By analyzing the average profit margin in relation to chaotic dynamics, companies can conduct sensitivity analysis to assess the potential impact of various...
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| Format: | Article |
| Language: | English |
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Akif AKGUL
2024-03-01
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| Series: | Chaos Theory and Applications |
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| Online Access: | https://dergipark.org.tr/en/download/article-file/3304571 |
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| author | Azwa Abdul Aziz Mohamad Afendee Mohamed Aceng Sambas Sundarapandian Vaıdyanathan Khaled Benkouider Seyed Mohamad Hamidzadeh Muhamad Deni Johansyah |
| author_facet | Azwa Abdul Aziz Mohamad Afendee Mohamed Aceng Sambas Sundarapandian Vaıdyanathan Khaled Benkouider Seyed Mohamad Hamidzadeh Muhamad Deni Johansyah |
| author_sort | Azwa Abdul Aziz |
| collection | DOAJ |
| description | Chaotic systems are known to be extremely sensitive to initial conditions, meaning small changes can have a significant impact on the outcomes. By analyzing the average profit margin in relation to chaotic dynamics, companies can conduct sensitivity analysis to assess the potential impact of various factors on their profitability. This analysis can help identify critical variables or scenarios that may significantly affect profit margins. In this article, we have proposed a hyperchaotic financial system with sinusoidal hyperbolic non-linear variables applied to the average profit margin. Furthermore, we have investigated the stability of the hyperchaotic financial dynamics model to provide information to companies to assess the consistency and reliability of their profitability. In addition, fundamental dynamic behavior like Lyapunov exponents, bifurcation analysis, coexisting attractors have been reported. Finally, a nonlinear feedback control approach is developed to train an adaptive neural fuzzy controller. The application of Lyapunov theory confirms that this nonlinear feedback controller can effectively minimize the synchronization error within a finite duration. The results from simulations establish the effectiveness of the proposed neural fuzzy controller architecture in controlling the synchronization of two hyperchaotic financial models. Additionally, the simulation includes a comparison between the performance of the nonlinear controller and the adaptive neural fuzzy controller. |
| format | Article |
| id | doaj-art-85e3f946ff47464984d70d4c83bb0448 |
| institution | Kabale University |
| issn | 2687-4539 |
| language | English |
| publishDate | 2024-03-01 |
| publisher | Akif AKGUL |
| record_format | Article |
| series | Chaos Theory and Applications |
| spelling | doaj-art-85e3f946ff47464984d70d4c83bb04482025-01-23T18:20:09ZengAkif AKGULChaos Theory and Applications2687-45392024-03-0161264010.51537/chaos.13368381971A Novel Hyperchaotic Financial System with Sinusoidal Hyperbolic Nonlinearity: From Theoretical Analysis to Adaptive Neural Fuzzy Controller MethodAzwa Abdul Aziz0https://orcid.org/0000-0002-0470-4000Mohamad Afendee Mohamed1https://orcid.org/0000-0001-5985-3970Aceng Sambas2https://orcid.org/0000-0002-1623-0770Sundarapandian Vaıdyanathan3https://orcid.org/0000-0003-4696-908XKhaled Benkouider4https://orcid.org/0000-0002-8345-3069Seyed Mohamad Hamidzadeh5https://orcid.org/0000-0001-6625-7448Muhamad Deni Johansyah6https://orcid.org/0000-0002-2051-0695Universiti Sultan Zainal AbidinUniversiti Sultan Zainal AbidinUniversiti Sultan Zainal AbidinVel Tech UniversityJijel UniversityKhorasan Institute of Higher Educationuniversitas padjadjaranChaotic systems are known to be extremely sensitive to initial conditions, meaning small changes can have a significant impact on the outcomes. By analyzing the average profit margin in relation to chaotic dynamics, companies can conduct sensitivity analysis to assess the potential impact of various factors on their profitability. This analysis can help identify critical variables or scenarios that may significantly affect profit margins. In this article, we have proposed a hyperchaotic financial system with sinusoidal hyperbolic non-linear variables applied to the average profit margin. Furthermore, we have investigated the stability of the hyperchaotic financial dynamics model to provide information to companies to assess the consistency and reliability of their profitability. In addition, fundamental dynamic behavior like Lyapunov exponents, bifurcation analysis, coexisting attractors have been reported. Finally, a nonlinear feedback control approach is developed to train an adaptive neural fuzzy controller. The application of Lyapunov theory confirms that this nonlinear feedback controller can effectively minimize the synchronization error within a finite duration. The results from simulations establish the effectiveness of the proposed neural fuzzy controller architecture in controlling the synchronization of two hyperchaotic financial models. Additionally, the simulation includes a comparison between the performance of the nonlinear controller and the adaptive neural fuzzy controller.https://dergipark.org.tr/en/download/article-file/3304571chaotic systemfinancial systemdynamical analysiscomplexity analysisadaptive neural fuzzy controller |
| spellingShingle | Azwa Abdul Aziz Mohamad Afendee Mohamed Aceng Sambas Sundarapandian Vaıdyanathan Khaled Benkouider Seyed Mohamad Hamidzadeh Muhamad Deni Johansyah A Novel Hyperchaotic Financial System with Sinusoidal Hyperbolic Nonlinearity: From Theoretical Analysis to Adaptive Neural Fuzzy Controller Method Chaos Theory and Applications chaotic system financial system dynamical analysis complexity analysis adaptive neural fuzzy controller |
| title | A Novel Hyperchaotic Financial System with Sinusoidal Hyperbolic Nonlinearity: From Theoretical Analysis to Adaptive Neural Fuzzy Controller Method |
| title_full | A Novel Hyperchaotic Financial System with Sinusoidal Hyperbolic Nonlinearity: From Theoretical Analysis to Adaptive Neural Fuzzy Controller Method |
| title_fullStr | A Novel Hyperchaotic Financial System with Sinusoidal Hyperbolic Nonlinearity: From Theoretical Analysis to Adaptive Neural Fuzzy Controller Method |
| title_full_unstemmed | A Novel Hyperchaotic Financial System with Sinusoidal Hyperbolic Nonlinearity: From Theoretical Analysis to Adaptive Neural Fuzzy Controller Method |
| title_short | A Novel Hyperchaotic Financial System with Sinusoidal Hyperbolic Nonlinearity: From Theoretical Analysis to Adaptive Neural Fuzzy Controller Method |
| title_sort | novel hyperchaotic financial system with sinusoidal hyperbolic nonlinearity from theoretical analysis to adaptive neural fuzzy controller method |
| topic | chaotic system financial system dynamical analysis complexity analysis adaptive neural fuzzy controller |
| url | https://dergipark.org.tr/en/download/article-file/3304571 |
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