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On period-adding sequences of attracting cycles in piecewise linear maps

โœ Scribed by Yu.L. Maistrenko; V.L. Maistrenko; S.I. Vikul

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
504 KB
Volume
9
Category
Article
ISSN
0960-0779

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โœฆ Synopsis

We study numerically bifurcations in a family of bimodal three-piecewise linear continuous one-dimensional maps. Attention is paid to the attracting cycles arising after the bifurcation 'from unimodal map to bimodal map'. It is found that this type of bifurcation is accompanied by the appearance of period-adding cascades of attracting cycles 3qull+,12k)/~,21+-22k) which are characterized by Pk = (all + at2k)/(a2~ + az2k), k = 0, 1 .....

๐Ÿ“œ SIMILAR VOLUMES

C-bifurcations and period-adding in one-
C-bifurcations and period-adding in one-dimensional piecewise-smooth maps
โœ Christopher Halse; Martin Homer; Mario di Bernardo ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 436 KB

This paper examines the behaviour of piecewise-smooth, continuous, one-dimensional maps that have been derived in the literature as normal forms for grazing and sliding bifurcations. These maps are linear for negative values of the parameter and non-linear for positive values of the parameter. Both