研究了一种由改进的KdV-Burgers-Kuramoto方程简化而成的新型混沌系统的动力学、同步

IF 1.6 4区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Indian Journal of Physics Pub Date : 2024-11-09 DOI:10.1007/s12648-024-03434-7

Junbiao Guan, Feng Wang

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引用次数: 0

摘要

混沌可能出现在许多非线性演化方程中，这使得动力学更加复杂。在这项研究中，我们报告了在一个改进的KdV-Burgers-Kuramoto （mKBK）方程中发现了一个新的混沌吸引子。针对其潜在的应用，我们进一步分析了其混沌同步，包括已知和未知参数的完全同步，已知和未知参数的广义泛函投影同步（GFPS），以及通过设计的非线性反馈控制器与已知和未知参数的组合同步。数值算例与理论结果吻合较好。

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Investigating the dynamics, synchronization of a novel chaotic system reduced from a modified KdV–Burgers–Kuramoto equation

Chaos may arise in many nonlinear evolution equations which make the dynamics much more complex. In this study, we report the finding of a novel chaotic attractor in a modified KdV–Burgers–Kuramoto (mKBK) equation. For potential applications, we further study analytically its chaos synchronization including complete synchronization with known and unknown parameters, generalized functional projective synchronization (GFPS) with known and unknown parameters, and combined synchronization with known and unknown parameters via the designed nonlinear feedback controllers. Numerical illustrations are presented which agree well with the theoretical results.

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来源期刊

Indian Journal of Physics 物理-物理：综合

CiteScore

3.40

自引率

10.00%

发文量

275

审稿时长

3-8 weeks

期刊介绍： Indian Journal of Physics is a monthly research journal in English published by the Indian Association for the Cultivation of Sciences in collaboration with the Indian Physical Society. The journal publishes refereed papers covering current research in Physics in the following category: Astrophysics, Atmospheric and Space physics; Atomic & Molecular Physics; Biophysics; Condensed Matter & Materials Physics; General & Interdisciplinary Physics; Nonlinear dynamics & Complex Systems; Nuclear Physics; Optics and Spectroscopy; Particle Physics; Plasma Physics; Relativity & Cosmology; Statistical Physics.