{"title":"Electronic circuit and image encryption for a new 3D nonuniformly conservative system","authors":"Karam N. Abdul-Kareem, Saad Fawzi Al-Azzawi","doi":"10.1007/s12648-024-03316-y","DOIUrl":null,"url":null,"abstract":"<p>Introducing dynamical systems that involve a variable in the trace of the Jacobian matrix is a difficult challenge due to it is difficult to determine whether a system is dissipative or conservative. This paper introduces a new 3D chaotic nonuniformly conservative system with a variable in the trace of the Jacobian matrix through the Hamiltonian form. The proposed system is without equilibrium points (hidden attractors) and satisfies categories C and D. The system exhibits three distinct behaviors (chaotic, quasi-periodic, periodic) under the same parameters with varying initial conditions. The characteristics system are investigated through a combination of theoretical analysis and numerical simulations, including dissipative and conservative behavior, equilibrium points, bifurcation diagrams, Lyapunov exponents, and multistability. Finally, two applications are implemented: an electronic circuit and image encryption based on the proposed system. These outcomes substantiate the sufficiency and viability of this system, demonstrating its effective performance.</p>","PeriodicalId":584,"journal":{"name":"Indian Journal of Physics","volume":null,"pages":null},"PeriodicalIF":1.6000,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Indian Journal of Physics","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1007/s12648-024-03316-y","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
Introducing dynamical systems that involve a variable in the trace of the Jacobian matrix is a difficult challenge due to it is difficult to determine whether a system is dissipative or conservative. This paper introduces a new 3D chaotic nonuniformly conservative system with a variable in the trace of the Jacobian matrix through the Hamiltonian form. The proposed system is without equilibrium points (hidden attractors) and satisfies categories C and D. The system exhibits three distinct behaviors (chaotic, quasi-periodic, periodic) under the same parameters with varying initial conditions. The characteristics system are investigated through a combination of theoretical analysis and numerical simulations, including dissipative and conservative behavior, equilibrium points, bifurcation diagrams, Lyapunov exponents, and multistability. Finally, two applications are implemented: an electronic circuit and image encryption based on the proposed system. These outcomes substantiate the sufficiency and viability of this system, demonstrating its effective performance.
期刊介绍:
Indian Journal of Physics is a monthly research journal in English published by the Indian Association for the Cultivation of Sciences in collaboration with the Indian Physical Society. The journal publishes refereed papers covering current research in Physics in the following category: Astrophysics, Atmospheric and Space physics; Atomic & Molecular Physics; Biophysics; Condensed Matter & Materials Physics; General & Interdisciplinary Physics; Nonlinear dynamics & Complex Systems; Nuclear Physics; Optics and Spectroscopy; Particle Physics; Plasma Physics; Relativity & Cosmology; Statistical Physics.