Effective stochastic behavior in dynamical systems with incomplete information
| dc.contributor.utaustinauthor | Buice, Michael A. | en_US |
| dc.creator | Buice, Michael A. | en_US |
| dc.creator | Chow, Carson C. | en_US |
| dc.date.accessioned | 2017-07-18T20:10:39Z | |
| dc.date.available | 2017-07-18T20:10:39Z | |
| dc.date.issued | 2011-11 | en_US |
| dc.description.abstract | Complex systems are generally analytically intractable and difficult to simulate. We introduce a method for deriving an effective stochastic equation for a high-dimensional deterministic dynamical system for which some portion of the configuration is not precisely specified. We use a response function path integral to construct an equivalent distribution for the stochastic dynamics from the distribution of the incomplete information. We apply this method to the Kuramoto model of coupled oscillators to derive an effective stochastic equation for a single oscillator interacting with a bath of oscillators and also outline the procedure for other systems. | en_US |
| dc.description.department | Center for Learning and Memory | en_US |
| dc.description.sponsorship | NIH/NIDDK | en_US |
| dc.identifier | doi:10.15781/T25T3GF6J | |
| dc.identifier.citation | Buice, Michael A., and Carson C. Chow. "Effective stochastic behavior in dynamical systems with incomplete information." Physical Review E 84, no. 5 (2011): 051120. | en_US |
| dc.identifier.doi | 10.1103/PhysRevE.84.051120 | en_US |
| dc.identifier.issn | 1539-3755 | en_US |
| dc.identifier.uri | http://hdl.handle.net/2152/61138 | |
| dc.language.iso | English | en_US |
| dc.relation.ispartof | UT Faculty/Researcher Works | en_US |
| dc.relation.ispartofserial | Physical Review E | en_US |
| dc.rights | Administrative deposit of works to Texas ScholarWorks: This works author(s) is or was a University faculty member, student or staff member; this article is already available through open access or the publisher allows a PDF version of the article to be freely posted online. The library makes the deposit as a matter of fair use (for scholarly, educational, and research purposes), and to preserve the work and further secure public access to the works of the University. | en_US |
| dc.rights.restriction | open | en_US |
| dc.subject | path integral approach | en_US |
| dc.subject | statistical mechanics | en_US |
| dc.subject | coupled oscillators | en_US |
| dc.subject | brownian-motion | en_US |
| dc.title | Effective stochastic behavior in dynamical systems with incomplete information | en_US |
| dc.type | Article | en_US |