Cap like trajectories in 5D chaotic tangent hyperbolic memristive model: fractional calculus and encryption Article Swipe
Muhammad Ali Qureshi
,
Najeeb Alam Khan
,
Salman Raza
,
Sheikh Muhammad Zeeshan Iqbal
·
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.1088/1402-4896/ad5476
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.1088/1402-4896/ad5476
This research aims to investigate the influence of model parameters and fractional order on a novel mathematical model with tangent hyperbolic memristor. This investigation conducted by applying Lyapunov exponents and bifurcation analysis. We utilize the Lyapunov exponent theory to understand and characterize these chaotic behaviors under fractional indices. The Lyapunov exponent, bifurcation, and phase diagrams have been depicted to explore the intricate dynamics of the chaotic system governed by the chaotic equation. A novel approach termed Atangana-Baleanu-Caputo (ABC) fractional derivative (FD) to generate phase portraits and gain insights into the system’s behavior. The random numbers generated by the chaotic system are employed to distort the image through an amalgamated image encryption (AIE) algorithm. Subsequently, the integrity of the scrambled image has been assessed using various image security evaluation methods to reinforce the notion that combining the chaotic system and image can constitute a valuable encryption key. Finally, the chaotic model circuit realization uses active and passive components, and the outcomes are compared with the numerical simulations.
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Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1088/1402-4896/ad5476
- OA Status
- hybrid
- Cited By
- 6
- References
- 33
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4399369797
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W4399369797Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1088/1402-4896/ad5476Digital Object Identifier
- Title
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Cap like trajectories in 5D chaotic tangent hyperbolic memristive model: fractional calculus and encryptionWork title
- Type
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articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2024Year of publication
- Publication date
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2024-06-05Full publication date if available
- Authors
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Muhammad Ali Qureshi, Najeeb Alam Khan, Salman Raza, Sheikh Muhammad Zeeshan IqbalList of authors in order
- Landing page
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https://doi.org/10.1088/1402-4896/ad5476Publisher landing page
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YesWhether a free full text is available
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hybridOpen access status per OpenAlex
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https://doi.org/10.1088/1402-4896/ad5476Direct OA link when available
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Tangent, Chaotic, Fractional calculus, Encryption, Mathematics, CHAOS (operating system), Calculus (dental), Applied mathematics, Computer science, Geometry, Artificial intelligence, Computer security, Medicine, DentistryTop concepts (fields/topics) attached by OpenAlex
- Cited by
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6Total citation count in OpenAlex
- Citations by year (recent)
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2025: 6Per-year citation counts (last 5 years)
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33Number of works referenced by this work
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10Other works algorithmically related by OpenAlex
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| abstract_inverted_index.uses | 153 |
| abstract_inverted_index.with | 19, 163 |
| abstract_inverted_index.(ABC) | 78 |
| abstract_inverted_index.(AIE) | 112 |
| abstract_inverted_index.image | 106, 110, 120, 126, 140 |
| abstract_inverted_index.model | 9, 18, 150 |
| abstract_inverted_index.novel | 16, 74 |
| abstract_inverted_index.order | 13 |
| abstract_inverted_index.phase | 54, 84 |
| abstract_inverted_index.these | 43 |
| abstract_inverted_index.under | 46 |
| abstract_inverted_index.using | 124 |
| abstract_inverted_index.active | 154 |
| abstract_inverted_index.notion | 133 |
| abstract_inverted_index.random | 94 |
| abstract_inverted_index.system | 67, 100, 138 |
| abstract_inverted_index.termed | 76 |
| abstract_inverted_index.theory | 38 |
| abstract_inverted_index.chaotic | 44, 66, 71, 99, 137, 149 |
| abstract_inverted_index.circuit | 151 |
| abstract_inverted_index.distort | 104 |
| abstract_inverted_index.explore | 60 |
| abstract_inverted_index.methods | 129 |
| abstract_inverted_index.numbers | 95 |
| abstract_inverted_index.passive | 156 |
| abstract_inverted_index.tangent | 20 |
| abstract_inverted_index.through | 107 |
| abstract_inverted_index.utilize | 34 |
| abstract_inverted_index.various | 125 |
| abstract_inverted_index.Abstract | 0 |
| abstract_inverted_index.Finally, | 147 |
| abstract_inverted_index.Lyapunov | 28, 36, 50 |
| abstract_inverted_index.applying | 27 |
| abstract_inverted_index.approach | 75 |
| abstract_inverted_index.assessed | 123 |
| abstract_inverted_index.compared | 162 |
| abstract_inverted_index.depicted | 58 |
| abstract_inverted_index.diagrams | 55 |
| abstract_inverted_index.dynamics | 63 |
| abstract_inverted_index.employed | 102 |
| abstract_inverted_index.exponent | 37 |
| abstract_inverted_index.generate | 83 |
| abstract_inverted_index.governed | 68 |
| abstract_inverted_index.indices. | 48 |
| abstract_inverted_index.insights | 88 |
| abstract_inverted_index.outcomes | 160 |
| abstract_inverted_index.research | 2 |
| abstract_inverted_index.security | 127 |
| abstract_inverted_index.valuable | 144 |
| abstract_inverted_index.analysis. | 32 |
| abstract_inverted_index.behavior. | 92 |
| abstract_inverted_index.behaviors | 45 |
| abstract_inverted_index.combining | 135 |
| abstract_inverted_index.conducted | 25 |
| abstract_inverted_index.equation. | 72 |
| abstract_inverted_index.exponent, | 51 |
| abstract_inverted_index.exponents | 29 |
| abstract_inverted_index.generated | 96 |
| abstract_inverted_index.influence | 7 |
| abstract_inverted_index.integrity | 116 |
| abstract_inverted_index.intricate | 62 |
| abstract_inverted_index.numerical | 165 |
| abstract_inverted_index.portraits | 85 |
| abstract_inverted_index.reinforce | 131 |
| abstract_inverted_index.scrambled | 119 |
| abstract_inverted_index.algorithm. | 113 |
| abstract_inverted_index.constitute | 142 |
| abstract_inverted_index.derivative | 80 |
| abstract_inverted_index.encryption | 111, 145 |
| abstract_inverted_index.evaluation | 128 |
| abstract_inverted_index.fractional | 12, 47, 79 |
| abstract_inverted_index.hyperbolic | 21 |
| abstract_inverted_index.memristor. | 22 |
| abstract_inverted_index.parameters | 10 |
| abstract_inverted_index.system’s | 91 |
| abstract_inverted_index.understand | 40 |
| abstract_inverted_index.amalgamated | 109 |
| abstract_inverted_index.bifurcation | 31 |
| abstract_inverted_index.components, | 157 |
| abstract_inverted_index.investigate | 5 |
| abstract_inverted_index.realization | 152 |
| abstract_inverted_index.bifurcation, | 52 |
| abstract_inverted_index.characterize | 42 |
| abstract_inverted_index.mathematical | 17 |
| abstract_inverted_index.simulations. | 166 |
| abstract_inverted_index.Subsequently, | 114 |
| abstract_inverted_index.investigation | 24 |
| abstract_inverted_index.Atangana-Baleanu-Caputo | 77 |
| cited_by_percentile_year.max | 99 |
| cited_by_percentile_year.min | 98 |
| corresponding_author_ids | https://openalex.org/A5018688810 |
| countries_distinct_count | 1 |
| institutions_distinct_count | 4 |
| corresponding_institution_ids | https://openalex.org/I193670377 |
| citation_normalized_percentile.value | 0.88054076 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | True |