Excitable dynamics and threshold sets in nonlinear systems
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN: 1063-651X, Vol: 69, Issue: 2 2, Page: 026210
2004
- 4Citations
- 6Captures
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
- Citations4
- Citation Indexes4
- CrossRef4
- Captures6
- Readers6
Article Description
A theoretical formulation of a criterion allowing to determine the threshold sets and excitable dynamics in nonlinear systems was discussed. A numerical method based on the use of multiple shooting and continuation methods was formulated. It was observed that for systems with two variables, finding the threshold set is formulated by a boundary value problem supplemented by a condition of a maximum separation rate. The results provide a consistent picture relating excitability to bifurcation phenomenon such as subcritical Hopf bifurcation or multiple steady states.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=37649027001&origin=inward; http://dx.doi.org/10.1103/physreve.69.026210; http://www.ncbi.nlm.nih.gov/pubmed/14995551; https://link.aps.org/doi/10.1103/PhysRevE.69.026210; http://harvest.aps.org/v2/journals/articles/10.1103/PhysRevE.69.026210/fulltext; http://link.aps.org/article/10.1103/PhysRevE.69.026210
American Physical Society (APS)
Provide Feedback
Have ideas for a new metric? Would you like to see something else here?Let us know