Frequency-Locking in Coupled Chaotic Systems

Bam-Bi Hu; Zong-Hua Liu; Zhi Gang Zheng

doi:10.1088/0253-6102/35/4/425

Frequency-Locking in Coupled Chaotic Systems

Bam-Bi Hu
, Zong-Hua Liu
, Zhi Gang Zheng

Research output: Contribution to journal › Journal article › peer-review

5 Citations (Scopus)

Abstract

A novel approach is presented for measuring the phase synchronization (frequency-locking) of coupled nonidentical oscillators, which can characterize frequency-locking for chaotic systems without well-defined phase by measuring the mean frequency. Numerical simulations confirm the existence of frequency-locking. The relations between the mean frequency and the coupling strength and the frequency mismatch are given. For the coupled hyperchaotic systems, the frequency-locking can be better characterized by more than one mean frequency curves.

Original language	English
Pages (from-to)	425-430
Number of pages	6
Journal	Communications in Theoretical Physics
Volume	35
Issue number	4
DOIs	https://doi.org/10.1088/0253-6102/35/4/425
Publication status	Published - Apr 2001
Externally published	Yes

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 9 Industry, Innovation, and Infrastructure

Access to Document

10.1088/0253-6102/35/4/425

Cite this

@article{a9afe24a817942fb96fafc8fbeada876,

title = "Frequency-Locking in Coupled Chaotic Systems",

abstract = "A novel approach is presented for measuring the phase synchronization (frequency-locking) of coupled nonidentical oscillators, which can characterize frequency-locking for chaotic systems without well-defined phase by measuring the mean frequency. Numerical simulations confirm the existence of frequency-locking. The relations between the mean frequency and the coupling strength and the frequency mismatch are given. For the coupled hyperchaotic systems, the frequency-locking can be better characterized by more than one mean frequency curves.",

author = "Bam-Bi Hu and Zong-Hua Liu and Zheng, \{Zhi Gang\}",

note = "The project partly supported by the Hong Kong Research Grant Council and the Hong Kong Baptist University Faculty Research Grant, National Natural Science Foundation of China and the Special Funds for Major State Basic Research Projects of China and the Foundation for University Key Teacher by the Ministry of Education Publisher Copyright: {\textcopyright} International Academic Publishers",

year = "2001",

month = apr,

doi = "10.1088/0253-6102/35/4/425",

language = "English",

volume = "35",

pages = "425--430",

journal = "Communications in Theoretical Physics",

issn = "0253-6102",

publisher = "IOP Publishing Ltd.",

number = "4",

}

TY - JOUR

T1 - Frequency-Locking in Coupled Chaotic Systems

AU - Hu, Bam-Bi

AU - Liu, Zong-Hua

AU - Zheng, Zhi Gang

N1 - The project partly supported by the Hong Kong Research Grant Council and the Hong Kong Baptist University Faculty Research Grant, National Natural Science Foundation of China and the Special Funds for Major State Basic Research Projects of China and the Foundation for University Key Teacher by the Ministry of Education Publisher Copyright: © International Academic Publishers

PY - 2001/4

Y1 - 2001/4

N2 - A novel approach is presented for measuring the phase synchronization (frequency-locking) of coupled nonidentical oscillators, which can characterize frequency-locking for chaotic systems without well-defined phase by measuring the mean frequency. Numerical simulations confirm the existence of frequency-locking. The relations between the mean frequency and the coupling strength and the frequency mismatch are given. For the coupled hyperchaotic systems, the frequency-locking can be better characterized by more than one mean frequency curves.

AB - A novel approach is presented for measuring the phase synchronization (frequency-locking) of coupled nonidentical oscillators, which can characterize frequency-locking for chaotic systems without well-defined phase by measuring the mean frequency. Numerical simulations confirm the existence of frequency-locking. The relations between the mean frequency and the coupling strength and the frequency mismatch are given. For the coupled hyperchaotic systems, the frequency-locking can be better characterized by more than one mean frequency curves.

UR - https://iopscience.iop.org/article/10.1088/0253-6102/35/4/425

U2 - 10.1088/0253-6102/35/4/425

DO - 10.1088/0253-6102/35/4/425

M3 - Journal article

SN - 0253-6102

VL - 35

SP - 425

EP - 430

JO - Communications in Theoretical Physics

JF - Communications in Theoretical Physics

IS - 4

ER -

Frequency-Locking in Coupled Chaotic Systems

Abstract

UN SDGs

Access to Document

Other files and links

Fingerprint

Cite this