A universal description of stochastic oscillators
Proceedings of the National Academy of Sciences of the United States of America, ISSN: 1091-6490, Vol: 120, Issue: 29, Page: e2303222120
2023
- 8Citations
- 21Captures
- 10Mentions
Metric Options: Counts1 Year3 YearSelecting the 1-year or 3-year option will change the metrics count to percentiles, illustrating how an article or review compares to other articles or reviews within the selected time period in the same journal. Selecting the 1-year option compares the metrics against other articles/reviews that were also published in the same calendar year. Selecting the 3-year option compares the metrics against other articles/reviews that were also published in the same calendar year plus the two years prior.
Example: if you select the 1-year option for an article published in 2019 and a metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019. If you select the 3-year option for the same article published in 2019 and the metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019, 2018 and 2017.
Citation Benchmarking is provided by Scopus and SciVal and is different from the metrics context provided by PlumX Metrics.
Example: if you select the 1-year option for an article published in 2019 and a metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019. If you select the 3-year option for the same article published in 2019 and the metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019, 2018 and 2017.
Citation Benchmarking is provided by Scopus and SciVal and is different from the metrics context provided by PlumX Metrics.
Metrics Details
- Citations8
- Citation Indexes8
- Captures21
- Readers21
- 21
- Mentions10
- News Mentions10
- News10
Most Recent News
‘Major conceptual advance’ helps scientists understand life’s unpredictable rhythms
CLEVELAND, Ohio — From the mesmerizing synchronized blinking of fireflies to the familiar lub-dub of our heartbeats, life is full of random rhythms. These unpredictable
Article Description
Many systems in physics, chemistry, and biology exhibit oscillations with a pronounced random component. Such stochastic oscillations can emerge via different mechanisms, for example, linear dynamics of a stable focus with fluctuations, limit-cycle systems perturbed by noise, or excitable systems in which random inputs lead to a train of pulses. Despite their diverse origins, the phenomenology of random oscillations can be strikingly similar. Here, we introduce a nonlinear transformation of stochastic oscillators to a complex-valued function Q(x) that greatly simplifies and unifies the mathematical description of the oscillator’s spontaneous activity, its response to an external time-dependent perturbώation, and the correlation statistics of different oscillators that are weakly coupled. The function Q(x) is the eigenfunction of the Kolmogorov backward operator with the least negative (but nonvanishing) eigenvalue = + iώ. The resulting power spectrum of the complex-valued function is exactly given by a Lorentz spectrum with peak frequency ώ and half-width π1; its susceptibility with respect to a weak external forcing is given by a simple one-pole filter, centered around ; and the cross-spectrum between two coupled oscillators can be easily expressed by a combination of the spontaneous power spectra of the uncoupled systems and their susceptibilities. Our approach makes qualitatively different stochastic oscillators comparable, provides simple characteristics for the coherence of the random oscillation, and gives a framework for the description of weakly coupled oscillators.
Bibliographic Details
Proceedings of the National Academy of Sciences
Provide Feedback
Have ideas for a new metric? Would you like to see something else here?Let us know