{"title":"三维混沌系统中的小丑脸,与记忆晶体管电子学、DNA 加密和分数微积分学融为一体","authors":"Muhammad Ali Qureshi, Najeeb Alam Khan","doi":"10.1140/epjb/s10051-024-00694-4","DOIUrl":null,"url":null,"abstract":"<div><p>This paper presents a three-dimensional sinusoidal forcing memristor-based chaotic model with one of its phase portrait trajectories visualized as a <i>face or clown face</i>. The developed novel chaotic model stability and its nature are analyzed using mathematical tools under the lights of Lyapunov exponents, maximal Lyapunov, Routh–Hurwitz criterion, and eigenvalues. The chaotic dynamics and richness of the pattern formation of novel coupled differential equations were numerically explored using different schemes, namely Caputo, Caputo–Fabrizio, and Atangana–Baleanu Caputo fractional derivatives. The electronic realization of the developed memristive-based model is presented with operational amplifiers and other passive electronic components, showing significant agreement with the numerical solution. The 3D system was chaotic, and its generated random numbers were tested with 0–1 chaos and NIST Suit tests. The randomness of the generated data is utilized to do DNA encryption as a method of encrypting data, with two dissimilar keys to scramble the image. The outcomes of the novel encryption method are demonstrated in three different ways (Pepper I, II, and III) and tested with standard image statistical tools.</p><h3>Graphical abstract</h3><div><figure><div><div><picture><source><img></source></picture></div></div></figure></div></div>","PeriodicalId":787,"journal":{"name":"The European Physical Journal B","volume":null,"pages":null},"PeriodicalIF":1.6000,"publicationDate":"2024-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Clown face in 3D chaotic system integrated with memristor electronics, DNA encryption and fractional calculus\",\"authors\":\"Muhammad Ali Qureshi, Najeeb Alam Khan\",\"doi\":\"10.1140/epjb/s10051-024-00694-4\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>This paper presents a three-dimensional sinusoidal forcing memristor-based chaotic model with one of its phase portrait trajectories visualized as a <i>face or clown face</i>. The developed novel chaotic model stability and its nature are analyzed using mathematical tools under the lights of Lyapunov exponents, maximal Lyapunov, Routh–Hurwitz criterion, and eigenvalues. The chaotic dynamics and richness of the pattern formation of novel coupled differential equations were numerically explored using different schemes, namely Caputo, Caputo–Fabrizio, and Atangana–Baleanu Caputo fractional derivatives. The electronic realization of the developed memristive-based model is presented with operational amplifiers and other passive electronic components, showing significant agreement with the numerical solution. The 3D system was chaotic, and its generated random numbers were tested with 0–1 chaos and NIST Suit tests. The randomness of the generated data is utilized to do DNA encryption as a method of encrypting data, with two dissimilar keys to scramble the image. The outcomes of the novel encryption method are demonstrated in three different ways (Pepper I, II, and III) and tested with standard image statistical tools.</p><h3>Graphical abstract</h3><div><figure><div><div><picture><source><img></source></picture></div></div></figure></div></div>\",\"PeriodicalId\":787,\"journal\":{\"name\":\"The European Physical Journal B\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.6000,\"publicationDate\":\"2024-05-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"The European Physical Journal B\",\"FirstCategoryId\":\"4\",\"ListUrlMain\":\"https://link.springer.com/article/10.1140/epjb/s10051-024-00694-4\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"PHYSICS, CONDENSED MATTER\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"The European Physical Journal B","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1140/epjb/s10051-024-00694-4","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, CONDENSED MATTER","Score":null,"Total":0}
Clown face in 3D chaotic system integrated with memristor electronics, DNA encryption and fractional calculus
This paper presents a three-dimensional sinusoidal forcing memristor-based chaotic model with one of its phase portrait trajectories visualized as a face or clown face. The developed novel chaotic model stability and its nature are analyzed using mathematical tools under the lights of Lyapunov exponents, maximal Lyapunov, Routh–Hurwitz criterion, and eigenvalues. The chaotic dynamics and richness of the pattern formation of novel coupled differential equations were numerically explored using different schemes, namely Caputo, Caputo–Fabrizio, and Atangana–Baleanu Caputo fractional derivatives. The electronic realization of the developed memristive-based model is presented with operational amplifiers and other passive electronic components, showing significant agreement with the numerical solution. The 3D system was chaotic, and its generated random numbers were tested with 0–1 chaos and NIST Suit tests. The randomness of the generated data is utilized to do DNA encryption as a method of encrypting data, with two dissimilar keys to scramble the image. The outcomes of the novel encryption method are demonstrated in three different ways (Pepper I, II, and III) and tested with standard image statistical tools.