Hierarchical synchronization in complex networks with heterogeneous degrees

Changsong ZHOU; Jürgen Kurths

doi:10.1063/1.2150381

Hierarchical synchronization in complex networks with heterogeneous degrees

Changsong ZHOU^*, Jürgen Kurths

^*Corresponding author for this work

Department of Physics

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

120 Citations (Scopus)

Abstract

We study synchronization behavior in networks of coupled chaotic oscillators with heterogeneous connection degrees. Our focus is on regimes away from the complete synchronization state, when the coupling is not strong enough, when the oscillators are under the influence of noise or when the oscillators are nonidentical. We have found a hierarchical organization of the synchronization behavior with respect to the collective dynamics of the network. Oscillators with more connections (hubs) are synchronized more closely by the collective dynamics and constitute the dynamical core of the network. The numerical observation of this hierarchical synchronization is supported with an analysis based on a mean field approximation and the master stability function.

Original language	English
Article number	015104
Journal	Chaos
Volume	16
Issue number	1
DOIs	https://doi.org/10.1063/1.2150381
Publication status	Published - 2006

Scopus Subject Areas

Statistical and Nonlinear Physics
Mathematical Physics
Physics and Astronomy(all)
Applied Mathematics

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title = "Hierarchical synchronization in complex networks with heterogeneous degrees",

abstract = "We study synchronization behavior in networks of coupled chaotic oscillators with heterogeneous connection degrees. Our focus is on regimes away from the complete synchronization state, when the coupling is not strong enough, when the oscillators are under the influence of noise or when the oscillators are nonidentical. We have found a hierarchical organization of the synchronization behavior with respect to the collective dynamics of the network. Oscillators with more connections (hubs) are synchronized more closely by the collective dynamics and constitute the dynamical core of the network. The numerical observation of this hierarchical synchronization is supported with an analysis based on a mean field approximation and the master stability function.",

author = "Changsong ZHOU and J{\"u}rgen Kurths",

note = "Funding Information: The authors thank M. Matias and B. Blasius for helpful discussions. This work was supported by Grant No. SFB 555 (DFG) and the European Union through the Network of Excellence BioSim, Contract No. LSHB-CT-2004-005137.",

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AU - Kurths, Jürgen

N1 - Funding Information: The authors thank M. Matias and B. Blasius for helpful discussions. This work was supported by Grant No. SFB 555 (DFG) and the European Union through the Network of Excellence BioSim, Contract No. LSHB-CT-2004-005137.

PY - 2006

Y1 - 2006

N2 - We study synchronization behavior in networks of coupled chaotic oscillators with heterogeneous connection degrees. Our focus is on regimes away from the complete synchronization state, when the coupling is not strong enough, when the oscillators are under the influence of noise or when the oscillators are nonidentical. We have found a hierarchical organization of the synchronization behavior with respect to the collective dynamics of the network. Oscillators with more connections (hubs) are synchronized more closely by the collective dynamics and constitute the dynamical core of the network. The numerical observation of this hierarchical synchronization is supported with an analysis based on a mean field approximation and the master stability function.

AB - We study synchronization behavior in networks of coupled chaotic oscillators with heterogeneous connection degrees. Our focus is on regimes away from the complete synchronization state, when the coupling is not strong enough, when the oscillators are under the influence of noise or when the oscillators are nonidentical. We have found a hierarchical organization of the synchronization behavior with respect to the collective dynamics of the network. Oscillators with more connections (hubs) are synchronized more closely by the collective dynamics and constitute the dynamical core of the network. The numerical observation of this hierarchical synchronization is supported with an analysis based on a mean field approximation and the master stability function.

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JF - Chaos

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Hierarchical synchronization in complex networks with heterogeneous degrees

Abstract

Scopus Subject Areas

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