Abstract

Dynamical patterns in complex networks of coupled oscillators are of both theoretical and practical interest, yet to fully reveal and understand the interplay between pattern emergence and network structure remains to be an open problem. Among the many outstanding issues, a fundamental one is how the network structure affects the stability of dynamical patterns. To address this issue, we focus on the spiral wave patterns and investigate the effects of systematically added random links on their stability and dynamical evolutions. We find that, as the network structure deviates more from the regular topology and thus becomes increasingly more complex, an originally stable spiral wave pattern can disappear but different types of patterns can emerge. In addition, short-distance links added to a small region containing the spiral tip can have a more significant effect on the wave pattern than long-distance connections. As more random links are introduced into the network, distinct pattern transitions can occur, such as the transition of the spiral wave pattern to a global synchronization state, to a chimera-like state, or to a pinned spiral wave. About the transition points, the network dynamics are highly sensitive to small structural perturbations in that the addition of even a single link can change the pattern from one type to another. These findings provide additional insights into the pattern dynamics in complex networks, a problem that is relevant to many physical, chemical, and biological systems.

Original languageEnglish (US)
Pages (from-to)1-10
Number of pages10
JournalNonlinear Dynamics
DOIs
StateAccepted/In press - Apr 20 2018

Fingerprint

Spiral Wave
Perturbation
Complex networks
Network Structure
Biological systems
Complex Networks
Synchronization
Topology
Global Synchronization
Network Dynamics
Coupled Oscillators
Biological Systems
Open Problems
Distinct

Keywords

  • Chimera-like state
  • Complex network
  • Coupled oscillators
  • Pinned spiral
  • Spiral waves

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Aerospace Engineering
  • Ocean Engineering
  • Mechanical Engineering
  • Applied Mathematics
  • Electrical and Electronic Engineering

Cite this

Effect of network structural perturbations on spiral wave patterns. / Wang, Yafeng; Song, Dongmei; Gao, Xiang; Qu, Shi Xian; Lai, Ying-Cheng; Wang, Xingang.

In: Nonlinear Dynamics, 20.04.2018, p. 1-10.

Research output: Contribution to journalArticle

Wang, Yafeng ; Song, Dongmei ; Gao, Xiang ; Qu, Shi Xian ; Lai, Ying-Cheng ; Wang, Xingang. / Effect of network structural perturbations on spiral wave patterns. In: Nonlinear Dynamics. 2018 ; pp. 1-10.
@article{05babf0ea8df49cd98377732749a7263,
title = "Effect of network structural perturbations on spiral wave patterns",
abstract = "Dynamical patterns in complex networks of coupled oscillators are of both theoretical and practical interest, yet to fully reveal and understand the interplay between pattern emergence and network structure remains to be an open problem. Among the many outstanding issues, a fundamental one is how the network structure affects the stability of dynamical patterns. To address this issue, we focus on the spiral wave patterns and investigate the effects of systematically added random links on their stability and dynamical evolutions. We find that, as the network structure deviates more from the regular topology and thus becomes increasingly more complex, an originally stable spiral wave pattern can disappear but different types of patterns can emerge. In addition, short-distance links added to a small region containing the spiral tip can have a more significant effect on the wave pattern than long-distance connections. As more random links are introduced into the network, distinct pattern transitions can occur, such as the transition of the spiral wave pattern to a global synchronization state, to a chimera-like state, or to a pinned spiral wave. About the transition points, the network dynamics are highly sensitive to small structural perturbations in that the addition of even a single link can change the pattern from one type to another. These findings provide additional insights into the pattern dynamics in complex networks, a problem that is relevant to many physical, chemical, and biological systems.",
keywords = "Chimera-like state, Complex network, Coupled oscillators, Pinned spiral, Spiral waves",
author = "Yafeng Wang and Dongmei Song and Xiang Gao and Qu, {Shi Xian} and Ying-Cheng Lai and Xingang Wang",
year = "2018",
month = "4",
day = "20",
doi = "10.1007/s11071-018-4283-1",
language = "English (US)",
pages = "1--10",
journal = "Nonlinear Dynamics",
issn = "0924-090X",
publisher = "Springer Netherlands",

}

TY - JOUR

T1 - Effect of network structural perturbations on spiral wave patterns

AU - Wang, Yafeng

AU - Song, Dongmei

AU - Gao, Xiang

AU - Qu, Shi Xian

AU - Lai, Ying-Cheng

AU - Wang, Xingang

PY - 2018/4/20

Y1 - 2018/4/20

N2 - Dynamical patterns in complex networks of coupled oscillators are of both theoretical and practical interest, yet to fully reveal and understand the interplay between pattern emergence and network structure remains to be an open problem. Among the many outstanding issues, a fundamental one is how the network structure affects the stability of dynamical patterns. To address this issue, we focus on the spiral wave patterns and investigate the effects of systematically added random links on their stability and dynamical evolutions. We find that, as the network structure deviates more from the regular topology and thus becomes increasingly more complex, an originally stable spiral wave pattern can disappear but different types of patterns can emerge. In addition, short-distance links added to a small region containing the spiral tip can have a more significant effect on the wave pattern than long-distance connections. As more random links are introduced into the network, distinct pattern transitions can occur, such as the transition of the spiral wave pattern to a global synchronization state, to a chimera-like state, or to a pinned spiral wave. About the transition points, the network dynamics are highly sensitive to small structural perturbations in that the addition of even a single link can change the pattern from one type to another. These findings provide additional insights into the pattern dynamics in complex networks, a problem that is relevant to many physical, chemical, and biological systems.

AB - Dynamical patterns in complex networks of coupled oscillators are of both theoretical and practical interest, yet to fully reveal and understand the interplay between pattern emergence and network structure remains to be an open problem. Among the many outstanding issues, a fundamental one is how the network structure affects the stability of dynamical patterns. To address this issue, we focus on the spiral wave patterns and investigate the effects of systematically added random links on their stability and dynamical evolutions. We find that, as the network structure deviates more from the regular topology and thus becomes increasingly more complex, an originally stable spiral wave pattern can disappear but different types of patterns can emerge. In addition, short-distance links added to a small region containing the spiral tip can have a more significant effect on the wave pattern than long-distance connections. As more random links are introduced into the network, distinct pattern transitions can occur, such as the transition of the spiral wave pattern to a global synchronization state, to a chimera-like state, or to a pinned spiral wave. About the transition points, the network dynamics are highly sensitive to small structural perturbations in that the addition of even a single link can change the pattern from one type to another. These findings provide additional insights into the pattern dynamics in complex networks, a problem that is relevant to many physical, chemical, and biological systems.

KW - Chimera-like state

KW - Complex network

KW - Coupled oscillators

KW - Pinned spiral

KW - Spiral waves

UR - http://www.scopus.com/inward/record.url?scp=85045759074&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85045759074&partnerID=8YFLogxK

U2 - 10.1007/s11071-018-4283-1

DO - 10.1007/s11071-018-4283-1

M3 - Article

AN - SCOPUS:85045759074

SP - 1

EP - 10

JO - Nonlinear Dynamics

JF - Nonlinear Dynamics

SN - 0924-090X

ER -