On Fractional-Order Symmetric Oscillator With Offset-Boosting Control
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Date
2022
Journal Title
Journal ISSN
Volume Title
Publisher
Vilnius Univ, inst Mathematics & informatics
Open Access Color
GOLD
Green Open Access
No
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No
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Top 10%
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Average
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Top 10%
Abstract
This article analyzes the dynamical evolution of a three-dimensional symmetric oscillator with a fractional Caputo operator. The dynamical properties of the considered model such as equilibria and its stability are also presented. The existence results and uniqueness of solutions for the suggested model are analyzed using the tools from fixed point theory. The symmetric oscillator is analyzed numerically and graphically with various fractional orders. It is observed that the fractional operator has a significant impact on the evolution of the oscillator dynamics showing that the system has a limit-cycle attractor. Offset-boosting control phenomena in the system are also studied with different orders and parameters.
Description
Xu, Changjin/0000-0001-5844-2985
ORCID
Keywords
Symmetric Oscillator, Caputo Operator, Limit-Cycle Attractor, Offset Boosting, Artificial intelligence, Caputo operator, Control (management), Operator (biology), Boosting (machine learning), Theory and Applications of Fractional Differential Equations, Mathematical analysis, Quantum mechanics, Biochemistry, Gene, Machine learning, FOS: Mathematics, Control theory (sociology), offset boosting, Anomalous Diffusion Modeling and Analysis, Offset (computer science), QA299.6-433, Bifurcations in Planar Polynomial Systems, Applied Mathematics, Physics, Attractor, Limit cycle, Fixed point, Limit (mathematics), Applied mathematics, Computer science, Programming language, Fractional Derivatives, Chemistry, Modeling and Simulation, Physical Sciences, limit-cycle attractor, Repressor, Dynamical systems theory, Geometry and Topology, Uniqueness, Statistical physics, Transcription factor, symmetric oscillator, Analysis, Mathematics
Fields of Science
02 engineering and technology, 01 natural sciences, 0103 physical sciences, 0202 electrical engineering, electronic engineering, information engineering
Citation
Xu, Changjin; Rahman, Mati Ur; Baleanu, Dumitru. (2022). "On fractional-order symmetric oscillator with offset-boosting control", Nonlinear Analysis: Modelling and Control, Vol.27, No.5, pp.994-1008.
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
8
Source
Nonlinear Analysis: Modelling and Control
Volume
27
Issue
Start Page
1
End Page
15
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Scopus : 37
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