https://doi.org/10.1140/epjp/s13360-025-06954-1
Regular Article
Several new types of transient transition paths
1
Guizhou Key Laboratory of Artificial Intelligence and Brain-Inspired Computing,, College of Mathematics and Big Data, Guizhou Education University, 550018, Guiyang, People’s Republic of China
2
Institute of Advanced Optoelectronic Materials, Technology of School of Big Data and Information Engineering, Guizhou University, 550025, Guiyang, China
a
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Received:
8
September
2025
Accepted:
8
October
2025
Published online:
25
October
2025
Abstract
In modern chaos theory, transient transition paths are crucial for understanding the evolutionary processes of nonlinear systems and their engineering applications. This paper proposes a two-dimensional discrete memristive chaotic system (ACL) model and conducts an analysis of it, revealing that the system exhibits novel transient transition path characteristics: parameter changes cause it to present different geometric morphologies, and under specific parameters, it is also accompanied by changes in the number of path layers. When analyzing the offset boosting behavior, it is observed that there are non-smooth transition regions in specific areas of the system, and the offset boosting behavior within these transition regions exhibits both non-stationary evolution and rotation characteristics. Verified by the spectral entropy (SE) and C0 algorithm, the system maintains a high spectral entropy and C0 value over the entire parameter range, demonstrating excellent chaotic characteristics; meanwhile, its hardware implementation is achieved on the STM32 microcontroller, and the random numbers generated by the pseudo-random number generator (PRNG) designed based on this system have passed the NIST test, fully proving its engineering practicality.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
