多参数可控忆阻保守多波混沌系统的分析、实现及有限时间同步

IF 2.9 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY
Yizhe Li, Mu Li
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引用次数: 0

摘要

提出了一种低维数、数学模型简单、动力学行为丰富的三维记忆保守多波混沌系统。具有三个系统参数(c、d、e)的吸引子都会呈现多波变化,并且随着参数e的变化,多波吸引子可以处于对称状态,其中我们利用参数e来探索吸引子的形成机理,从x-z平面出发,随着参数e的增大,吸引子逐渐叠加,最终形成吸引子。此外,随着参数a和b的变化,吸引子的形状也会发生变化,当a和b同时变化时,系统的Lyapunov指数最大可达2.84。通过分析系统的Lyapunov指数、Kaplan-Yorke维数和平衡点,证明了系统的混沌性、隐性和在一定条件下的保守性。此外,我们还发现系统表现出多种吸引子共存行为、两种偏移增强行为和三种瞬态转移行为。并将该系统用于有限时间同步,为实际工程应用提供参考。最后,利用FPGA实现了系统的硬件实现。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Analysis, implementation and finite-time synchronization of a multi-parameter controllable memristive conservative multi-wave chaotic system

A three-dimensional memristive conservative multi-wave chaotic system is proposed, with low dimensionality, a simple mathematical model, and rich dynamical behaviors. The attractors with the three system parameters (c, d, e) will all show multi-wave changes, and with the parameter e changes in the multi-wave attractors can be symmetric state, in which we use the parameter e to explore the attractor formation mechanism, from the xz plane, with the parameter e increases the attractor gradually stacked, and ultimately the formation of the attractor. In addition, with the change of the parameters a and b, the shape of the attractors will be changed, and when a and b are varied simultaneously, the maximum Lyapunov exponent of the system can reach 2.84. The chaotic, hidden and under certain conditions conservative features of the system are proved by analyzing the Lyapunov exponent, the Kaplan-Yorke dimension, and the equilibrium point. Furthermore, we discover that the system shows multiple coexisting attractors behavior, two kinds of offset-boosting behaviors, and three kinds of transient transfer behaviors. The system is then used for finite-time synchronization, which provides a reference for applications in real engineering. Finally, the system’s hardware is implemented using FPGA.

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来源期刊
The European Physical Journal Plus
The European Physical Journal Plus PHYSICS, MULTIDISCIPLINARY-
CiteScore
5.40
自引率
8.80%
发文量
1150
审稿时长
4-8 weeks
期刊介绍: The aims of this peer-reviewed online journal are to distribute and archive all relevant material required to document, assess, validate and reconstruct in detail the body of knowledge in the physical and related sciences. The scope of EPJ Plus encompasses a broad landscape of fields and disciplines in the physical and related sciences - such as covered by the topical EPJ journals and with the explicit addition of geophysics, astrophysics, general relativity and cosmology, mathematical and quantum physics, classical and fluid mechanics, accelerator and medical physics, as well as physics techniques applied to any other topics, including energy, environment and cultural heritage.
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