Analytical investigation of single and double Neimark-Sacker bifurcations
  • Metaadatok
Tartalom: https://pp.bme.hu/me/article/view/1227
Archívum: PP Mechanical Engineering
Gyűjtemény: Articles
Cím:
Analytical investigation of single and double Neimark-Sacker bifurcations
Létrehozó:
Habib, Giuseppe
Rega, Giuseppe
Stépán, Gábor
Kiadó:
Budapest University of Technology and Economics
Dátum:
2012-01-01
Téma:
Neimark-Sacker bifurcation; double Neimark-Sacker; Near identity transformation; Center manifold reduction
Tartalmi leírás:
The analytical investigation of bifurcations is a very challenging task for many applied scientists and engineers. Often, numerical simulations cannot clarify the complicated dynamics of mechanical systems, in this cases, preprogrammed softwares can be of valid help during the investigation. Also, in the literature, methodology to study bifurcations are presented for most of the cases. However, the presented procedures, are often very hard to be understood from applied scientists with low mathematical background. In this paper we present in details the typical procedure to analyze single and double Neimark-Sacker bifurcations. Especially regarding the double Neimark-Sacker bifurcations of maps, very few sources can be found in the literature, although this kind of bifurcation is very common in many dynamical systems.
Nyelv:
angol
Típus:
info:eu-repo/semantics/article
Peer-reviewed Article
info:eu-repo/semantics/publishedVersion
Formátum:
application/pdf
Azonosító:
10.3311/pp.me.2012-1.03
Forrás:
Periodica Polytechnica Mechanical Engineering; Vol. 56, No. 1 (2012); 13-22
Kapcsolat:
Létrehozó:
Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access). As soon as the paper is accepted, finally submitted and edited, the npaper will appear in the "OnlineFirst" page of the journal, thus from this point no other internet-based publication is necessary.