Cluster modified projective synchronization between networks with distinct topologies

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

Cluster modified projective synchronization (CMPS) between two topologically distinct community networks is studied in this paper. Each cluster here has a unique dynamics at least with respect to the parameter sets. Using an adaptive feedback control gain and a matrix scaling factor, we show that CMPS between two community networks can be realized with considering minimum assumptions and imposing just few restrictions on the configuration set. We use Lyapunov stability theory for the proof and employ computer simulation to confirm our result on randomly generated community networks. Simulations also show the possibility of having hybrid synchronization between the two networks.

Original languageEnglish
JournalInternational Journal of Modern Physics C
DOIs
Publication statusAccepted/In press - 2016

Fingerprint

Projective Synchronization
synchronism
Synchronization
topology
Topology
Distinct
Feedback control
Scaling Factor
Lyapunov Stability Theory
feedback control
Adaptive Control
Feedback Control
constrictions
Computer Simulation
computerized simulation
Computer simulation
Restriction
scaling
Configuration
matrices

Keywords

  • adaptive control
  • cluster synchronization
  • Complex networks
  • hybrid synchronization
  • modified projective synchronization

ASJC Scopus subject areas

  • Computer Science Applications
  • Computational Theory and Mathematics
  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

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abstract = "Cluster modified projective synchronization (CMPS) between two topologically distinct community networks is studied in this paper. Each cluster here has a unique dynamics at least with respect to the parameter sets. Using an adaptive feedback control gain and a matrix scaling factor, we show that CMPS between two community networks can be realized with considering minimum assumptions and imposing just few restrictions on the configuration set. We use Lyapunov stability theory for the proof and employ computer simulation to confirm our result on randomly generated community networks. Simulations also show the possibility of having hybrid synchronization between the two networks.",
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author = "Shahed Vahedi and {Md. Noorani}, {Mohd. Salmi}",
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AU - Vahedi, Shahed

AU - Md. Noorani, Mohd. Salmi

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N2 - Cluster modified projective synchronization (CMPS) between two topologically distinct community networks is studied in this paper. Each cluster here has a unique dynamics at least with respect to the parameter sets. Using an adaptive feedback control gain and a matrix scaling factor, we show that CMPS between two community networks can be realized with considering minimum assumptions and imposing just few restrictions on the configuration set. We use Lyapunov stability theory for the proof and employ computer simulation to confirm our result on randomly generated community networks. Simulations also show the possibility of having hybrid synchronization between the two networks.

AB - Cluster modified projective synchronization (CMPS) between two topologically distinct community networks is studied in this paper. Each cluster here has a unique dynamics at least with respect to the parameter sets. Using an adaptive feedback control gain and a matrix scaling factor, we show that CMPS between two community networks can be realized with considering minimum assumptions and imposing just few restrictions on the configuration set. We use Lyapunov stability theory for the proof and employ computer simulation to confirm our result on randomly generated community networks. Simulations also show the possibility of having hybrid synchronization between the two networks.

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KW - cluster synchronization

KW - Complex networks

KW - hybrid synchronization

KW - modified projective synchronization

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