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  Importance-sampling computation of statistical properties of coupled oscillators

Gupta, S., Leitão, J. C., & Altmann, E. G. (2017). Importance-sampling computation of statistical properties of coupled oscillators. Physical Review E, 96(1): 012201. doi:10.1103/PhysRevE.96.012201.

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 Creators:
Gupta, Shamik1, Author
Leitão, Jorge C.2, Author           
Altmann, Eduardo G.2, Author           
Affiliations:
1external, ou_persistent22              
2Max Planck Institute for the Physics of Complex Systems, Max Planck Society, ou_2117288              

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 MPIPKS: Deterministic dynamics
 Abstract: We introduce and implement an importance-sampling Monte Carlo algorithm to study systems of globally coupled oscillators. Our computational method efficiently obtains estimates of the tails of the distribution of various measures of dynamical trajectories corresponding to states occurring with (exponentially) small probabilities. We demonstrate the general validity of our results by applying the method to two contrasting cases: the driven-dissipative Kuramoto model, a paradigm in the study of spontaneous synchronization; and the conservative Hamiltonian mean-field model, a prototypical system of long-range interactions. We present results for the distribution of the finite-time Lyapunov exponent and a time-averaged order parameter. Among other features, our results show most notably that the distributions exhibit a vanishing standard deviation but a skewness that is increasing in magnitude with the number of oscillators, implying that nontrivial asymmetries and states yielding rare or atypical values of the observables persist even for a large number of oscillators.

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Language(s): eng - English
 Dates: 2017-07-052017-07-05
 Publication Status: Issued
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Title: Physical Review E
  Other : Phys. Rev. E
Source Genre: Journal
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Publ. Info: Melville, NY : American Physical Society
Pages: - Volume / Issue: 96 (1) Sequence Number: 012201 Start / End Page: - Identifier: ISSN: 1539-3755
CoNE: https://pure.mpg.de/cone/journals/resource/954925225012