Hidden chaotic attractors in fractional-order systems

Danca Marius-F.

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Hidden chaotic attractors in fractional-order systems

机译：分数级系统中隐藏的混沌吸引子

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摘要

In this paper, we present a scheme for uncovering hidden chaotic attractors in nonlinear autonomous systems of fractional order. The stability of equilibria of fractional-order systems is analyzed. The underlying initial value problem is numerically integrated with the predictor-corrector Adams-Bashforth-Moulton algorithm for fractional-order differential equations. Three examples of fractional-order systems are considered: a generalized Lorenz system, the Rabinovich-Fabrikant system and a non-smooth Chua system.

机译：在本文中，我们提出了一种在分数阶数的非线性自治系统中揭开隐藏的混沌吸引子的方案。分析了分数级系统的均衡稳定性。底层初始值问题与预测校正器ADAMS-BASHFORTH-MOULTON-BASHFORTH-MOULTON算法进行了数值整合，用于分数级微分方程。考虑了分数阶系统的三个例子：广义洛伦兹系统，拉宾维奇 - 飞机系统和非平滑的CHUA系统。

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来源
《Nonlinear dynamics》 |2017年第1期|共10页
作者
Danca Marius-F.;
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作者单位

Avram Iancu Univ Dept Math &

Comp Sci Cluj Napoca 400380 Romania;

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原文格式 PDF
正文语种 eng
中图分类动力学;
关键词
Hidden attractor; Self-excited attractor; Fractional-order system; Generalized Lorenz system; Rabinovich-Fabrikant system; Non-smooth Chua system;

机译：隐藏的吸引子;自我激动的吸引子;分数阶系统;广义洛伦茨制度;拉宾诺维奇 - 费用油系统;非平滑的Chua系统;

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3. Analysis and electronic circuit implementation of an integer- and fractional-order four-dimensional chaotic system with offset boosting and hidden attractors [J] . The European physical journal: Special topics . 2020,第6a7期

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5. Dynamical Systems: Chaotic Attractors and Synchronization using Time-Averaged Partial Observations of the Phase Space. [D] . Blocher, Jordan Fleming. 2016

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6. Generating Multidirectional Variable Hidden Attractors via Newly Commensurate and Incommensurate Non-Equilibrium Fractional-Order Chaotic Systems [O] . Nadjette Debbouche, Shaher Momani, Adel Ouannas, 2021

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Hidden chaotic attractors in fractional-order systems

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