Change search
ReferencesLink to record
Permanent link

Direct link
An elementary approach to dynamics and bifurcations of skew tent maps
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
2008 (English)In: Journal of difference equations and applications (Print), ISSN 1023-6198, Vol. 14, no 8, 819-833 p.Article in journal (Refereed) Published
Abstract [en]

In this paper, the dynamics of skew tent maps are classified in terms of two bifurcation parameters. In time series analysis such maps are usually referred to as continuous threshold autoregressive models (TAR(1)-models) after Tong (Non-Linear Time Series, Clarendon Press, Oxford, UK, 1990). This study contains results simplifying the use of TAR(1)-models considerably, e.g. if a periodic attractor exists it is unique. On the other hand, we also claim that care must be exercised when TAR models are used. In fact, they possess a very special type of dynamical pattern with respect to the bifurcation parameters and their transition to chaos is far from standard.

Place, publisher, year, edition, pages
2008. Vol. 14, no 8, 819-833 p.
Keyword [en]
threshold autoregressive model, skew tent map, uniqueness of periodic, attractors, difference equation, chaos, bifurcation diagram, threshold, model
URN: urn:nbn:se:kth:diva-17608DOI: 10.1080/10236190801927462ISI: 000256766900003ScopusID: 2-s2.0-45849154256OAI: diva2:335652
QC 20100525Available from: 2010-08-05 Created: 2010-08-05Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full textScopus

Search in DiVA

By author/editor
Thunberg, Hans
By organisation
Mathematics (Div.)
In the same journal
Journal of difference equations and applications (Print)

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 17 hits
ReferencesLink to record
Permanent link

Direct link