Alejandro Silva-Juarez , Sergio A. Rosales-Nunez , Luis C. Alvarez-Simon , Gregorio Zamora-Mejia , Victor H. Carbajal-Gomez , Alejandro I. Bautista-Castillo , Jose M. Rocha-Perez
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引用次数: 0
Abstract
This study presents the numerical simulation of chaotic behavior in autonomous nonlinear dynamic models with fractional-order derivatives, aiming to analyze the effectiveness of different numerical methods in obtaining chaotic attractors. Six fractional-order chaotic oscillators are examined, applying the Grünwald–Letnikov definition approximations and the Adams–Bashforth–Moulton method using a predictor–corrector scheme. Equilibrium points are analyzed, and eigenvalues are calculated to determine the minimum order of derivatives that guarantees chaotic behavior. The results show significant differences between the methods in terms of accuracy and efficiency, highlighting the importance of selecting the numerical method in the simulation of fractional systems.
期刊介绍：
Integration''s aim is to cover every aspect of the VLSI area, with an emphasis on cross-fertilization between various fields of science, and the design, verification, test and applications of integrated circuits and systems, as well as closely related topics in process and device technologies. Individual issues will feature peer-reviewed tutorials and articles as well as reviews of recent publications. The intended coverage of the journal can be assessed by examining the following (non-exclusive) list of topics:
Specification methods and languages; Analog/Digital Integrated Circuits and Systems; VLSI architectures; Algorithms, methods and tools for modeling, simulation, synthesis and verification of integrated circuits and systems of any complexity; Embedded systems; High-level synthesis for VLSI systems; Logic synthesis and finite automata; Testing, design-for-test and test generation algorithms; Physical design; Formal verification; Algorithms implemented in VLSI systems; Systems engineering; Heterogeneous systems.
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