Product Recurrence for Weighted Backward Shifts

This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Applied Mathematics & Information Sciences following peer review. The definitive publisher-authenticated version is available online at: http://www.naturalspublishing.com/ContIss.asp?IssID=293[EN] We study product recurrence properties for weighted backward shifts on sequence spaces. The backward shifts that have non-zero product recurrent points are characterized as Devaney chaotic shifts. We also give an example of weighted shift that admits points which are recurrent and distal, but not product recurrent, in contrast with the dynamics on compact sets. An example of a product recurrent point with unbounded orbit is also provided.This work is supported in part by MICINN and FEDER, Project MTM2013-47093-P, and by GVA, Project PROMETEOII/2013/013. We thank the referee whose report produced an improvement in the presentation of the paper.Galán, VJ.; Martínez Jiménez, F.; Oprocha, P.; Peris Manguillot, A. (2015). Product Recurrence for Weighted Backward Shifts. Applied Mathematics & Information Sciences. 9(5):2361-2365. https://doi.org/10.12785/amis/090518S236123659

Conservation of the Cylindrical and Elliptic Cylindrical K-P Equations

cylindrical and elliptic cylindrical Kadomtsev-Petviashvili equationLie symmetriesreductionconservation lawsThis is a pre-copy-editing, author-produced PDF of an article accepted for publication in Applied Mathematics & Information Sciences following peer review. The definitive publisher-authenticated version: Hong, J. B.Z., Fakhar, K., Ahmad, S. and A.H. Kara (2015). Conservation of the cylindrical and elliptic cylindrical K-P equations. Applied Mathematics & Information Sciences, 9 (2), 631-635, is available online at: http://www.naturalspublishing.com/files/published/4353t3r7z8gclr.pdfPeer reviewedPostprint use of NSP Journals content When uploading an accepted manuscript to a repository, authors should include a credit line (see below) and a link to the final published version of the article. This will guarantee that the definitive version is readily available to those accessing your article from public repositories, and means that your article is more likely to be cited correctly. A PDF of the final published version of the article as it appears in the journal following copyediting and proof correction may not be deposited by authors in institutional repositories. Authors should include the following credit line when depositing their accepted manuscripts. This is a pre-copy-editing, author-produced PDF of an article accepted for publication in [insert journal title] following peer review. The definitive publisher-authenticated version [insert complete citation information here] is available online at: xxxxxxx [insert URL that the author will receive upon publication here]

Fixed points of fuzzy soft mappings

[EN] In this paper, the concept of a fuzzy soft mapping on a fuzzy soft set is introduced and the study of fixed points of such mappings is initiated.The third author thanks the support of the Ministry of Economy and Competitiveness of Spain, under grant MTM2012-37894-C02-01.Abbas, M.; Khalid, A.; Romaguera Bonilla, S. (2014). Fixed points of fuzzy soft mappings. Applied Mathematics & Information Sciences. 8(5):2141-2147. https://doi.org/10.12785/amis/080507S214121478

Big Data Analytics for QoS Prediction Through Probabilistic Model Checking

As competitiveness increases, being able to guaranting QoS of delivered services is key for business success. It is thus of paramount importance the ability to continuously monitor the workflow providing a service and to timely recognize breaches in the agreed QoS level. The ideal condition would be the possibility to anticipate, thus predict, a breach and operate to avoid it, or at least to mitigate its effects. In this paper we propose a model checking based approach to predict QoS of a formally described process. The continous model checking is enabled by the usage of a parametrized model of the monitored system, where the actual value of parameters is continuously evaluated and updated by means of big data tools. The paper also describes a prototype implementation of the approach and shows its usage in a case study.Comment: EDCC-2014, BIG4CIP-2014, Big Data Analytics, QoS Prediction, Model Checking, SLA compliance monitorin

Relation between the autocorrelation and Wigner functions

We show a simple mechanism to measure the Wigner function of a harmonic oscillator. For this system we also show that autocorrelation and Wigner functions are equivalent.Comment: Modified title and slightly modified version from the one publishe