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Precision of collective oscillations in complex dynamical systems with noise

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Mori,  Fumito
Physical Chemistry, Fritz Haber Institute, Max Planck Society;

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Mikhailov,  Alexander S.
Physical Chemistry, Fritz Haber Institute, Max Planck Society;
Department of Mathematical and Life Sciences, Hiroshima University;

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Fulltext (public)

PhysRevE.93.062206.pdf
(Publisher version), 938KB

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Citation

Mori, F., & Mikhailov, A. S. (2016). Precision of collective oscillations in complex dynamical systems with noise. Physical Review E, 93(6): 062206. doi:10.1103/PhysRevE.93.062206.


Cite as: http://hdl.handle.net/11858/00-001M-0000-002A-FB2A-A
Abstract
Two kinds of oscillation precision are investigated for complex oscillatory dynamical systems under action of noise. The many-cycle precision determined by the variance of the times needed for a large number of cycles is closely related to diffusion of the global oscillation phase and provides an invariant property of a system. The single-cycle precision given by the variance in durations of single cycles is sensitive to the choice of an output variable and output checkpoint; it can be improved by an appropriate selection of them. A general analysis of the precision properties based on the Floquet perturbation theory is performed and analytical predictions are verified in numerical simulations of a model oscillatory genetic network.