Exploring megastability in a fractal Josephson junction resonator coupled to a first-order Wien bridge circuit: theoretical modeling, numerical analysis, and application to secure image encryption
Year: 2026
Type: article
Abstract: This paper investigates the intriguing phenomenon of megastability in a novel system composed of a fractal Josephson junction resonator (FJJR) coupled to a first-order Wien bridge circuit. The study involves a comprehensive theoretical and numerical investigation of the megastable behavior of this hybrid system. We employ mathematical modeling and simulations to elucidate the dynamical aspects of the FJJR-Wien bridge coupling, revealing regions of parameter space that give rise to multiple stable states. Furthermore, we provide simulation-based evidence of this megastable behavior through numerical observations of the FJJR’s response under various driving conditions. The findings not only shed light on the fundamental mechanisms underlying megastability in complex systems but also offer potential applications in nonlinear signal processing, secure communications, random number generation, and chaos-based encryption. Understanding and harnessing the megastability of the system may open new avenues for the development of robust and efficient electronic devices with enhanced stability and functionality. A secure image encryption application was performed using the chaotic behavior system in the LabVIEW-based numerical simulation environment. Within the scope of the study, a random number generator was first designed to be used in the encryption process. The random numbers obtained before the encryption process were subjected to the most internationally accepted NIST 800.22, ENT and FIPS 140-1 tests and passed all tests successfully. Random numbers that passed the tests were used in the image encryption application. The images obtained as a result of chaos-based image encryption were subjected to histogram, correlation, NPCR-UACI and entropy tests, which are often used in the literature. According to the test results obtained, it has been shown that the proposed method can be used securely in the field of image encryption.
Source: Physica Scripta
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W7168358805