| Title: | Discrete memristive Hindmarsh-Rose neural model with fractional-order differences |
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| Authors: | ID Parastesh, Fatemeh (Author)
ID Rajagopal, Karthikeyan (Author)
ID Jafari, Sajad (Author)
ID Perc, Matjaž (Author) |
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| Files: |  RAZ_Parastesh_Fatemeh_2025.pdf (7,00 MB)
MD5: 3DD4AB367B2B704F3E0FB7FE28089316
 https://doi.org/10.3390/fractalfract9050276
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| Language: | English |
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| Work type: | Scientific work |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | FNM - Faculty of Natural Sciences and Mathematics
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| Abstract: | Discrete systems can offer advantages over continuous ones in certain contexts, particularly in terms of simplicity and reduced computational costs, though this may vary depending on the specific application and requirements. Recently, there has been growing interest in using fractional differences to enhance discrete models' flexibility and incorporate memory effects. This paper examines the dynamics of the discrete memristive Hindmarsh-Rose model by integrating fractional-order differences. Our results highlight the complex dynamics of the fractional-order model, revealing that chaotic firing depends on both the fractional-order and magnetic strength. Notably, certain magnetic strengths induce a transition from periodic firing in the integer-order model to chaotic behavior in the fractional-order model. Additionally, we explore the dynamics of two coupled discrete systems, finding that electrical coupling leads to the synchronization of chaotic dynamics, while chemical coupling ultimately results in a quiescent state. |
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| Keywords: | memristive Hindmarsh-Rose model, discrete systems, fractional-order differences |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Submitted for review: | 06.04.2025 |
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| Article acceptance date: | 22.04.2025 |
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| Publication date: | 24.04.2025 |
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| Year of publishing: | 2025 |
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| Number of pages: | 15 str. |
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| Numbering: | Letn. 9, št. 5, št. članka 276 |
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| PID: | 20.500.12556/DKUM-92664  |
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| UDC: | 53 |
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| ISSN on article: | 2504-3110 |
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| COBISS.SI-ID: | 234730755 |
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| DOI: | 10.3390/fractalfract9050276 |
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| Publication date in DKUM: | 06.05.2025 |
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| Views: | 148 |
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| Downloads: | 10 |
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| Metadata: |    |
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| Categories: | Misc.
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