带有偏置升压控制的分数阶对称振荡器

IF 2.6 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Modelling and Control Pub Date : 2022-07-19 DOI:10.15388/namc.2022.27.28279

Changjin Xu, Mati ur Rahman, D. Baleanu

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引用次数: 24

摘要

本文分析了带有分数阶卡普托算子的三维对称振子的动力学演化。给出了模型的动力学性质，如平衡态和稳定性。利用不动点理论的工具分析了该模型解的存在性和唯一性。对不同分数阶的对称振荡器进行了数值和图形分析。观察到分数算子对振子动力学的演化有显著的影响，表明系统具有极限环吸引子。研究了不同阶数和参数下系统的偏置升压控制现象。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On fractional-order symmetric oscillator with offset-boosting control

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.

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来源期刊

Nonlinear Analysis-Modelling and Control MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

3.80

自引率

10.00%

发文量

审稿时长

9.6 months

期刊介绍： The scope of the journal is to provide a multidisciplinary forum for scientists, researchers and engineers involved in research and design of nonlinear processes and phenomena, including the nonlinear modelling of phenomena of the nature. The journal accepts contributions on nonlinear phenomena and processes in any field of science and technology. The aims of the journal are: to provide a presentation of theoretical results and applications; to cover research results of multidisciplinary interest; to provide fast publishing of quality papers by extensive work of editors and referees; to provide an early access to the information by presenting the complete papers on Internet.