Taming complexity in nonlinear dynamical systems by recycled signal

Zhong Kui Sun; Xiao Li Yang; Wei Xu

doi:10.1007/s11431-015-5993-y

Taming complexity in nonlinear dynamical systems by recycled signal

Zhong Kui Sun, Xiao Li Yang, Wei Xu

School of Mathematics and Statistics

Shaanxi Normal University

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

In this paper, the impacts of the recycled signal on the dynamic complexity have been studied theoretically and numerically in a prototypical nonlinear dynamical system. The Melnikov theory is employed to determine the critical boundary, and the statistical complexity measure (SCM) is defined and calculated to quantify the dynamic complexity. It has been found that one can switch the dynamics from the periodic motion to a chaotic one or suppress the chaotic behavior to a periodic one, merely via adjusting the time delay or the amplitude of the recycled signal, therefore, providing a candidate to tame the dynamic complexity in nonlinear dynamical systems.

Original language	English
Pages (from-to)	403-410
Number of pages	8
Journal	Science China Technological Sciences
Volume	59
Issue number	3
DOIs	https://doi.org/10.1007/s11431-015-5993-y
State	Published - 1 Mar 2016

Keywords

dynamic complexity
recycled signal
SCM

Access to Document

10.1007/s11431-015-5993-y

Cite this

@article{2ad72afcf9b24e5d98dc7c176c5ee590,

title = "Taming complexity in nonlinear dynamical systems by recycled signal",

abstract = "In this paper, the impacts of the recycled signal on the dynamic complexity have been studied theoretically and numerically in a prototypical nonlinear dynamical system. The Melnikov theory is employed to determine the critical boundary, and the statistical complexity measure (SCM) is defined and calculated to quantify the dynamic complexity. It has been found that one can switch the dynamics from the periodic motion to a chaotic one or suppress the chaotic behavior to a periodic one, merely via adjusting the time delay or the amplitude of the recycled signal, therefore, providing a candidate to tame the dynamic complexity in nonlinear dynamical systems.",

keywords = "dynamic complexity, recycled signal, SCM",

author = "Sun, {Zhong Kui} and Yang, {Xiao Li} and Wei Xu",

note = "Publisher Copyright: {\textcopyright} 2016, Science China Press and Springer-Verlag Berlin Heidelberg.",

year = "2016",

month = mar,

day = "1",

doi = "10.1007/s11431-015-5993-y",

language = "英语",

volume = "59",

pages = "403--410",

journal = "Science China Technological Sciences",

issn = "1674-7321",

publisher = "Science China Press ",

number = "3",

}

TY - JOUR

T1 - Taming complexity in nonlinear dynamical systems by recycled signal

AU - Sun, Zhong Kui

AU - Yang, Xiao Li

AU - Xu, Wei

PY - 2016/3/1

Y1 - 2016/3/1

N2 - In this paper, the impacts of the recycled signal on the dynamic complexity have been studied theoretically and numerically in a prototypical nonlinear dynamical system. The Melnikov theory is employed to determine the critical boundary, and the statistical complexity measure (SCM) is defined and calculated to quantify the dynamic complexity. It has been found that one can switch the dynamics from the periodic motion to a chaotic one or suppress the chaotic behavior to a periodic one, merely via adjusting the time delay or the amplitude of the recycled signal, therefore, providing a candidate to tame the dynamic complexity in nonlinear dynamical systems.

AB - In this paper, the impacts of the recycled signal on the dynamic complexity have been studied theoretically and numerically in a prototypical nonlinear dynamical system. The Melnikov theory is employed to determine the critical boundary, and the statistical complexity measure (SCM) is defined and calculated to quantify the dynamic complexity. It has been found that one can switch the dynamics from the periodic motion to a chaotic one or suppress the chaotic behavior to a periodic one, merely via adjusting the time delay or the amplitude of the recycled signal, therefore, providing a candidate to tame the dynamic complexity in nonlinear dynamical systems.

KW - dynamic complexity

KW - recycled signal

KW - SCM

UR - http://www.scopus.com/inward/record.url?scp=84953380448&partnerID=8YFLogxK

U2 - 10.1007/s11431-015-5993-y

DO - 10.1007/s11431-015-5993-y

M3 - 文章

AN - SCOPUS:84953380448

SN - 1674-7321

VL - 59

SP - 403

EP - 410

JO - Science China Technological Sciences

JF - Science China Technological Sciences

IS - 3

ER -

Taming complexity in nonlinear dynamical systems by recycled signal

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this