Is that Really Hidden? The Presence of Complex Fixed-Points in Chaotic Flows with No Equilibria

Viet-Thanh Pham; Jafari Sajad; Volos Christos; Wang Xiong; Golpayegani S. Mohammad Reza Hashemi

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Is that Really Hidden? The Presence of Complex Fixed-Points in Chaotic Flows with No Equilibria

机译：那真的是隐藏的吗？无平衡的混沌流中复不动点的存在

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摘要

In this letter we investigate the role of complex fixed-points in finding hidden attractors in chaotic flows with no equilibria. If these attractors could be found by starting the trajectory in the neighborhood of complex fixed-points, maybe it would be better not to call them hidden.

机译：在这封信中，我们研究了复杂不动点在无平衡的混沌流中寻找隐藏吸引子的作用。如果可以通过在复杂的定点附近开始轨迹来找到这些吸引子，那么最好不要将它们隐藏起来。

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《International journal of bifurcation and chaos in applied sciences and engineering》 |2014年第11期|共6页
作者
Viet-Thanh Pham; Jafari Sajad; Volos Christos; Wang Xiong; Golpayegani S. Mohammad Reza Hashemi;
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原文格式 PDF
正文语种 eng
中图分类工业技术现状与发展;
关键词
Hidden attractor; chaotic flow; complex fixed-point; equilibrium;

机译：隐吸引子;混沌流;复定点;平衡;

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专利

1. Is that Really Hidden? The Presence of Complex Fixed-Points in Chaotic Flows with No Equilibria [J] . Viet-Thanh Pham, Jafari Sajad, Volos Christos, International journal of bifurcation and chaos in applied sciences and engineering . 2014,第11期

机译：那真的是隐藏的吗？无平衡的混沌流中复不动点的存在
2. Hidden attractors: A new chaotic system without equilibria [J] . The European physical journal: Special topics . 2020,第6a7期

机译：隐藏的吸引子：一个没有均衡的新混沌系统
3. Chaotic flows with special equilibria [J] . The European physical journal: Special topics . 2020,第6a7期

机译：与特殊均衡的混沌流动
4. MHD Simulation Studies of Z-Pinch Perturbed Equilibria in the Presence of Sheared Axial Flows [C] . Paraschiv, I., Bauer, . 2005

机译：剪切轴流作用下Z轴微扰动平衡的MHD模拟研究
5. Charting the state space of plane Couette flow: Equilibria, relative equilibria, and heteroclinic connections. [D] . Halcrow, Jonathan J. 2008

机译：绘制平面Couette流的状态空间图：平衡，相对平衡和异斜面连接。
6. Stabilization and Synchronization of a Complex Hidden Attractor Chaotic System by Backstepping Technique [O] . Jesus M. Munoz-Pacheco, Christos Volos, Fernando E. Serrano, 2021

机译：逆向技术稳定和同步复杂隐藏吸引子混沌系统的稳定与同步
7. Chaotic cuttlesh: king of camouage with self-excited and hidden flows, its fractional-order form and communication designs with fractional form [O] . Karthikeyan Rajagopal, Serdar Cicek, Akif Akgul, 2020

机译：混乱的cuttlesh：迷人国王与自我激发和隐藏的流动，其分数级的形式和沟通形式的沟通设计
8. Buoyant Outflows in the Presence of Ccomplex Topography [R] . Kourafalou, V. H. 2010

机译：Ccomplex地形背景下的浮力外流

Is that Really Hidden? The Presence of Complex Fixed-Points in Chaotic Flows with No Equilibria

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