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Book Chapter

Entrainment of complex oscillator networks

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Kori,  Hiroshi
Physical Chemistry, Fritz Haber Institute, Max Planck Society;

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Mikhailov,  Alexander S.
Physical Chemistry, Fritz Haber Institute, Max Planck Society;

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Citation

Kori, H., & Mikhailov, A. S. (2005). Entrainment of complex oscillator networks. In J. F. F. Mendes, S. N. Dorogotsev, A. Povolotsky, F. Abreu, & J. G. Oliveira (Eds.), Science of Complex Networks. From Biology to the Internet and WWW; CNET 2004 (pp. 157-165). Mellville, NY: American Institute of Physics.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0011-0861-9
Abstract
Dynamics of random oscillator networks partly forced by a external pacemaker is numerically investigated. We find that the entrainment frequency window of a network decreases exponentially with its depth, defined as the mean forward distance of the elements from the pacemaker. Effectively, only shallow networks have the ability to be entrained by the pacemaker. The exponential dependence is also derived analytically as an approximation for large random asymmetric networks.