Show simple item record

dc.contributor.authorMartsenyuk, Vasyl ( )
dc.date.accessioned2022-08-05T20:31:10Z
dc.date.available2022-08-05T20:31:10Z
dc.date.issued2017-10-06
dc.identifier.citationMartenyuk, V. (2017). Indirect method of exponential convergence estimation for neural network with discrete and distributed delays. Electronic Journal of Differential Equations, 2017(246), pp. 1-12.en_US
dc.identifier.issn1072-6691
dc.identifier.urihttps://digital.library.txstate.edu/handle/10877/16038
dc.description.abstractThe purpose of this research is to develop method of calculation of exponential decay rate for neural network model based on differential equations with discrete and distributed delays. The method results in quasipolynomial inequality allowing us to investigate qualitative behavior of model in dependence on parameters. In such way it was shown direct dependency in changes of exponential decay rate and minimal threshold of distributed time delay. An example of two-neuron network with four delays is given and numerical simulations are performed to illustrate the obtained results. It was shown numerically that distributed delays combined with discrete delays narrow the interval of parameters admitting exponential convergence.en_US
dc.formatText
dc.format.extent12 pages
dc.format.medium1 file (.pdf)
dc.language.isoenen_US
dc.publisherTexas State University, Department of Mathematicsen_US
dc.sourceElectronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectNeural network modelen_US
dc.subjectExponential decay rateen_US
dc.subjectDiscrete delaysen_US
dc.subjectDistributed delaysen_US
dc.subjectDelay differential equationsen_US
dc.titleIndirect method of exponential convergence estimation for neural network with discrete and distributed delaysen_US
dc.typepublishedVersion
txstate.documenttypeArticle
dc.rights.licenseCreative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.


Download

Thumbnail

This item appears in the following Collection(s)

Show simple item record