三维和四维抽动系统的多卷轴扩展及其DSP实现

IF 4.6 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY
Jingxu Zhang , Guodong Li , Hepeng Pan , Xiangkun Chen
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引用次数: 0

摘要

多涡旋混沌系统具有重要的实际应用潜力。通过引入控制函数和修改变量维数,我们在三维Jerk系统中实现了单涡旋和双涡旋展开,并通过Lyapunov指数分析证实了系统保持了混沌性质。平衡点的分布和分岔图进一步说明了涡旋的产生机理。通过将系统扩展到四维,通过数值模拟验证了该高维框架下多涡旋扩展的可行性。此外,DSP的实现表明,所构建的多卷轴系统在卷轴数量和排列上都具有灵活性,为进一步的研究和实际工程应用奠定了基础。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Multi-scroll expansion of 3D and 4D Jerk systems and its DSP implement

Multi-scroll expansion of 3D and 4D Jerk systems and its DSP implement
The multi-scroll chaotic systems have significant potential in practical applications. By introducing control functions and modifying variable dimensionality, we achieve both single-scroll and dual-scroll expansions in the three-dimensional Jerk system, with Lyapunov exponent analysis confirming that the system retains its chaotic nature. The distribution of equilibrium points and the bifurcation diagrams further illustrate the scroll generation mechanism. By extending the system to four dimensions, we validate the feasibility of multi-scroll expansion in this higher-dimensional framework through numerical simulations. Furthermore, the DSP implementation demonstrates that the constructed multi-scroll system offers flexibility in both the number and arrangement of scrolls, thus laying a foundation for further research and practical engineering applications.
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来源期刊
Chinese Journal of Physics
Chinese Journal of Physics 物理-物理:综合
CiteScore
8.50
自引率
10.00%
发文量
361
审稿时长
44 days
期刊介绍: The Chinese Journal of Physics publishes important advances in various branches in physics, including statistical and biophysical physics, condensed matter physics, atomic/molecular physics, optics, particle physics and nuclear physics. The editors welcome manuscripts on: -General Physics: Statistical and Quantum Mechanics, etc.- Gravitation and Astrophysics- Elementary Particles and Fields- Nuclear Physics- Atomic, Molecular, and Optical Physics- Quantum Information and Quantum Computation- Fluid Dynamics, Nonlinear Dynamics, Chaos, and Complex Networks- Plasma and Beam Physics- Condensed Matter: Structure, etc.- Condensed Matter: Electronic Properties, etc.- Polymer, Soft Matter, Biological, and Interdisciplinary Physics. CJP publishes regular research papers, feature articles and review papers.
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